Return to the article · Download selected evidence as JSON
{
"findings": [
{
"id": "IR-01",
"status": "REPRODUCED",
"finding": "The native page 57 threshold mask is an enlarged binary raster.",
"evidence": "2033 black cells in a 293 x 267 research crop;0 mismatches over 1354200 native thresholded pixels. Threshold 64/128/192 identical. Fresh extraction matches earlier cells.",
"limit": "These are crop dimensions, not proven original canvas dimensions; exact JPEG bytes are not reconstructed.",
"file": "fresh_native_audit.json"
},
{
"id": "IR-02",
"status": "STRONGLY_SUPPORTED_RENDERING_FINGERPRINT",
"finding": "Dot positions carry the deterministic legacy GIMP dissolve threshold pattern.",
"evidence": "268435456 offset/orientation/polarity configurations. Training peak 45.878 atx+4,y-9 mod 4096, no rotation; next candidate 5.734. Held-out 31.043. Source-free search independently returns same offset.",
"limit": "Identifies GIMP-compatible legacy noise generation, not a unique application build, menu sequence, or pristine source opacity.",
"file": "gimp_summary.json"
},
{
"id": "IR-03",
"status": "REPRODUCED_CONTROLS",
"finding": "The search and RNG implementation passed independent and planted checks.",
"evidence": "PurePython MT vsNumPy 6000 raw draws equal; independentJavaScript all 78231 thresholds equal;2 planted offsets/orientations/polarities exactly recovered;32 full-search null maxima 5.530..6.619.",
"limit": "32 full-search controls have empirical rank-p resolution 1/33; standardized scores are not reported as Gaussian-tail probabilities.",
"file": "gimp_prng_validation.json"
},
{
"id": "IR-04",
"status": "SUPPORTED_BY_HELDOUT_RANDOMIZATION",
"finding": "The alignment survives held-out controls preserving local dot count and clustering.",
"evidence": "100000 independent within-tile toroidal randomizations at each of 8,16,32 cell sizes. None reach actual low-threshold alignment. Plus-onep=1/100001 pertest; three-test Bonferroni~0.000030.",
"limit": "Conditional randomization test, not proof of author intent or historical exclusivity.",
"file": "gimp_heldout_tile_randomization.json"
},
{
"id": "IR-05",
"status": "REPRODUCED",
"finding": "The four isolated lower-left dots all occur at GIMP thresholdzero.",
"evidence": "Recoveredcell(53,250),(44,256),(41,265),(57,269) map toGIMP(57,241),(48,247),(45,256),(61,260); allR=0. Reference opacity rounds to 1 atallfour.",
"limit": "R=0 alone is insufficient; nonzero source opacity is also needed. Does not prove absence of intentional additions anywhere.",
"file": "four_dots.json"
},
{
"id": "IR-06",
"status": "APPROXIMATE_RECONSTRUCTION",
"finding": "A page 24-based opacity reference plus the historical field reproduces most black cells.",
"evidence": "1835 true black matches,198 missing,214 extra; F1=.899069. Held-outF1=.878113. Shiftingnoiseonecell dropswhole-imageF1 to.382259.",
"limit": "412 cells still differ. Twelve related source crops and 42 further tone/blur/affine/unsharp fits did not yield an exact source reconstruction.",
"file": "illustration_metrics.json"
},
{
"id": "IR-07",
"status": "HISTORICAL_PRIMARY_SOURCE",
"finding": "The tested generator was available before LP2.",
"evidence": "GIMP 2.8.10 tagmetadata date 2013-11-28. Historicalsource uses fixedseed 314159265,4096 rowseeds,andGLibg_rand_int_range(0,255).",
"limit": "This is software default data, not evidence of a Cicada-selected pi key; tag signature not separately authenticated here.",
"file": "evidence/gimp_tag_object.json"
},
{
"id": "IR-08",
"status": "UNRESOLVED_BY_INVERSE_PROBLEM",
"finding": "An exact original grayscale/alpha master is not uniquely recoverable from one binary dissolve image.",
"evidence": "For knownR and integeralphaA: black impliesA in[R+1,255]; white impliesA in[0,R]. Many input values produce the same bit.",
"limit": "Additional original-source evidence could narrow the possibilities. Pixel-by-pixel alpha fitting would be circular and was not used as proof.",
"file": "cells_and_thresholds.csv"
}
],
"selected_refinement": {
"name": "joint_k17_2",
"parameter_count": 31,
"train": {
"tp": 1129,
"fp": 44,
"fn": 15,
"mismatch": 59,
"f1": 0.9745360379801468
},
"heldout": {
"tp": 717,
"fp": 75,
"fn": 18,
"mismatch": 93,
"f1": 0.9390962671905697
},
"all": {
"tp": 1997,
"fp": 130,
"fn": 36,
"mismatch": 166,
"f1": 0.9600961538461539
}
},
"search_runs": 203,
"limits": [
"All holdouts are exploratory within-image checks on previously studied artwork.",
"No pixel-specific opacity, noise seed or target-bit editing used.",
"Original pristine artwork unavailable; no finite search proves other settings cannot reach98%.",
"Composite sources and fitted masks/warps are reconstructions, not established historical operations."
]
}{
"carrier": {
"length": 6651873,
"sha256": "1ce3839b4a62462d9009c4469acc189b523e1bdcf338cb49cda1cd7bb4efffc6",
"identical_iddqd": true,
"signature_log": "mp3_pgp_verification.txt",
"signature_utc": "2014-01-18T01:03:57+00:00",
"fingerprint": "6D854CD7933322A601C3286D181F01E57A35090F"
},
"archived_square_sha256": "da31a5a338be6d587ebec87f1dd0bcfdd47108dfc9db5bfc2bd261a58717f190",
"signature_scope": "MP3 hex is signed. The form request prose is signed, but order/sum labels are outside that signed block. The separate 721-byte square file is not signed.",
"fresh_MP3_OpenPuff_extraction": false,
"source_identity": "Known 2014 puzzle artifact; no claim of discovery here.",
"inventory": {
"source_sha256": "1ce3839b4a62462d9009c4469acc189b523e1bdcf338cb49cda1cd7bb4efffc6",
"bytes": 6651873,
"tags": [
{
"name": "TIT2",
"bytes": 19,
"hex": "00496e746572636f6e6e65637465646e657373",
"text": "Interconnectedness"
},
{
"name": "TPE1",
"bytes": 5,
"hex": "0033333031",
"text": "3301"
}
],
"decoded_samples_per_channel": 12222720,
"decoded_duration_s": 277.1591836734694,
"frames": 10610
},
"title_gematria": [
{
"position": "1",
"letter": "I",
"GP_prime": "31"
},
{
"position": "2",
"letter": "N",
"GP_prime": "29"
},
{
"position": "3",
"letter": "T",
"GP_prime": "59"
},
{
"position": "4",
"letter": "E",
"GP_prime": "67"
},
{
"position": "5",
"letter": "R",
"GP_prime": "11"
},
{
"position": "6",
"letter": "C",
"GP_prime": "13"
},
{
"position": "7",
"letter": "O",
"GP_prime": "7"
},
{
"position": "8",
"letter": "N",
"GP_prime": "29"
},
{
"position": "9",
"letter": "N",
"GP_prime": "29"
},
{
"position": "10",
"letter": "E",
"GP_prime": "67"
},
{
"position": "11",
"letter": "C",
"GP_prime": "13"
},
{
"position": "12",
"letter": "T",
"GP_prime": "59"
},
{
"position": "13",
"letter": "E",
"GP_prime": "67"
},
{
"position": "14",
"letter": "D",
"GP_prime": "89"
},
{
"position": "15",
"letter": "N",
"GP_prime": "29"
},
{
"position": "16",
"letter": "E",
"GP_prime": "67"
},
{
"position": "17",
"letter": "S",
"GP_prime": "53"
},
{
"position": "18",
"letter": "S",
"GP_prime": "53"
}
],
"title_sum": 772
}{
"discovery": "A07 fixed 2-second templates; same offset in first three forward queries",
"lag_samples": 11559607,
"lag_seconds": 262.1226077097506,
"fit_interval_s": [
2.25,
4.25
],
"fit_band_hz": [
3500,
9000
],
"fit_correlation": 0.9809035044528289,
"heldout_interval_s": [
0.25,
2.25
],
"heldout_correlation": 0.8919422759273371,
"alternate_decoder_correlation": 0.8919425331596311,
"wrong_offset_controls": 999,
"wrong_offset_max_abs": 0.03198007340089202,
"empirical_p": 0.001,
"rows": [
{
"band_hz": "raw",
"opening_start_s": 0.25,
"ending_start_s": 262.3726077097506,
"lag_samples": 11559607,
"correlation": 0.4462149370013365,
"least_squares_gain": 0.14416731369453115,
"residual_energy_fraction": 0.800891810830321,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 1.25,
"ending_start_s": 263.3726077097506,
"lag_samples": 11559607,
"correlation": 0.7605654959967575,
"least_squares_gain": 0.345349066232846,
"residual_energy_fraction": 0.42154013475617097,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 2.25,
"ending_start_s": 264.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9063318235240521,
"least_squares_gain": 0.5519737524277387,
"residual_energy_fraction": 0.17856286848575798,
"role": "fit-overlap"
},
{
"band_hz": "raw",
"opening_start_s": 3.25,
"ending_start_s": 265.3726077097506,
"lag_samples": 11559607,
"correlation": 0.8841204520941712,
"least_squares_gain": 0.7688416907327628,
"residual_energy_fraction": 0.21833125131900966,
"role": "fit-overlap"
},
{
"band_hz": "raw",
"opening_start_s": 4.25,
"ending_start_s": 266.3726077097506,
"lag_samples": 11559607,
"correlation": 0.8453620550982293,
"least_squares_gain": 0.9689359899930248,
"residual_energy_fraction": 0.2853628981298842,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 5.25,
"ending_start_s": 267.3726077097506,
"lag_samples": 11559607,
"correlation": 0.7654264140082004,
"least_squares_gain": 0.8327489524786965,
"residual_energy_fraction": 0.4141225024592314,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 6.25,
"ending_start_s": 268.3726077097506,
"lag_samples": 11559607,
"correlation": 0.6704099948392349,
"least_squares_gain": 0.714803092635623,
"residual_energy_fraction": 0.5505510745658296,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 7.25,
"ending_start_s": 269.3726077097506,
"lag_samples": 11559607,
"correlation": 0.4927709349569916,
"least_squares_gain": 0.5138084982779976,
"residual_energy_fraction": 0.7571780055484737,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 8.25,
"ending_start_s": 270.3726077097506,
"lag_samples": 11559607,
"correlation": 0.16815140731817182,
"least_squares_gain": 0.11379554200607443,
"residual_energy_fraction": 0.9717251896826977,
"role": "held-out-time"
},
{
"band_hz": "raw",
"opening_start_s": 9.25,
"ending_start_s": 271.3726077097506,
"lag_samples": 11559607,
"correlation": 0.07662695924227868,
"least_squares_gain": 0.0743681084502092,
"residual_energy_fraction": 0.994128237080759,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 0.25,
"ending_start_s": 262.3726077097506,
"lag_samples": 11559607,
"correlation": 0.17589741617064025,
"least_squares_gain": 0.1316750866851148,
"residual_energy_fraction": 0.9690601001109168,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 1.25,
"ending_start_s": 263.3726077097506,
"lag_samples": 11559607,
"correlation": 0.5253810568257685,
"least_squares_gain": 0.35921130004868695,
"residual_energy_fraction": 0.7239747538511834,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 2.25,
"ending_start_s": 264.3726077097506,
"lag_samples": 11559607,
"correlation": 0.7576444200576611,
"least_squares_gain": 0.5678310113094678,
"residual_energy_fraction": 0.4259749321098327,
"role": "fit-overlap"
},
{
"band_hz": "300_2500",
"opening_start_s": 3.25,
"ending_start_s": 265.3726077097506,
"lag_samples": 11559607,
"correlation": 0.7714053466329669,
"least_squares_gain": 0.763226965020504,
"residual_energy_fraction": 0.4049338069800717,
"role": "fit-overlap"
},
{
"band_hz": "300_2500",
"opening_start_s": 4.25,
"ending_start_s": 266.3726077097506,
"lag_samples": 11559607,
"correlation": 0.6495327947091905,
"least_squares_gain": 0.9669020545493098,
"residual_energy_fraction": 0.5781072055757817,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 5.25,
"ending_start_s": 267.3726077097506,
"lag_samples": 11559607,
"correlation": 0.28506977760271,
"least_squares_gain": 0.19771747013649943,
"residual_energy_fraction": 0.9187351448393337,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 6.25,
"ending_start_s": 268.3726077097506,
"lag_samples": 11559607,
"correlation": -0.011347603288491338,
"least_squares_gain": -0.004150189017175004,
"residual_energy_fraction": 0.9998712333712554,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 7.25,
"ending_start_s": 269.3726077097506,
"lag_samples": 11559607,
"correlation": 0.03175291307831321,
"least_squares_gain": 0.013191064420971508,
"residual_energy_fraction": 0.9989917405749268,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 8.25,
"ending_start_s": 270.3726077097506,
"lag_samples": 11559607,
"correlation": 0.07233900211214392,
"least_squares_gain": 0.013586761042877272,
"residual_energy_fraction": 0.9947670599501036,
"role": "held-out-time"
},
{
"band_hz": "300_2500",
"opening_start_s": 9.25,
"ending_start_s": 271.3726077097506,
"lag_samples": 11559607,
"correlation": 0.010918351637335092,
"least_squares_gain": 0.0023533251932440625,
"residual_energy_fraction": 0.9998807895756868,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 0.25,
"ending_start_s": 262.3726077097506,
"lag_samples": 11559607,
"correlation": 0.922684580107587,
"least_squares_gain": 0.1442454992711141,
"residual_energy_fraction": 0.1486531651039923,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 1.25,
"ending_start_s": 263.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9849193070583832,
"least_squares_gain": 0.34412686792627684,
"residual_energy_fraction": 0.02993395852294225,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 2.25,
"ending_start_s": 264.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9931801324025956,
"least_squares_gain": 0.5499043324961476,
"residual_energy_fraction": 0.013593224593925202,
"role": "fit-overlap"
},
{
"band_hz": "3500_9000",
"opening_start_s": 3.25,
"ending_start_s": 265.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9957455265068156,
"least_squares_gain": 0.770147028831976,
"residual_energy_fraction": 0.008490846426631546,
"role": "fit-overlap"
},
{
"band_hz": "3500_9000",
"opening_start_s": 4.25,
"ending_start_s": 266.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9975975487873776,
"least_squares_gain": 0.9697583436876701,
"residual_energy_fraction": 0.004799130636772582,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 5.25,
"ending_start_s": 267.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9972642060058348,
"least_squares_gain": 1.1428208592341118,
"residual_energy_fraction": 0.0054641033954567365,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 6.25,
"ending_start_s": 268.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9965248546429054,
"least_squares_gain": 1.399608936713304,
"residual_energy_fraction": 0.006938214086427157,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 7.25,
"ending_start_s": 269.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9868035843236687,
"least_squares_gain": 1.9772238267744882,
"residual_energy_fraction": 0.026218685982546223,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 8.25,
"ending_start_s": 270.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9644087377818492,
"least_squares_gain": 3.9135917320702007,
"residual_energy_fraction": 0.06991578648474699,
"role": "held-out-time"
},
{
"band_hz": "3500_9000",
"opening_start_s": 9.25,
"ending_start_s": 271.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9154407346003826,
"least_squares_gain": 10.435551860443,
"residual_energy_fraction": 0.16196826198441083,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 0.25,
"ending_start_s": 262.3726077097506,
"lag_samples": 11559607,
"correlation": 0.8833432308914548,
"least_squares_gain": 0.13832806383361976,
"residual_energy_fraction": 0.21970473643924981,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 1.25,
"ending_start_s": 263.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9479578196579368,
"least_squares_gain": 0.3301846650403456,
"residual_energy_fraction": 0.1013759721611234,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 2.25,
"ending_start_s": 264.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9588721501120774,
"least_squares_gain": 0.5355337659289051,
"residual_energy_fraction": 0.08056419969990673,
"role": "fit-overlap"
},
{
"band_hz": "10000_16000",
"opening_start_s": 3.25,
"ending_start_s": 265.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9631982772187845,
"least_squares_gain": 0.7528210528480342,
"residual_energy_fraction": 0.07224907871484337,
"role": "fit-overlap"
},
{
"band_hz": "10000_16000",
"opening_start_s": 4.25,
"ending_start_s": 266.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9639403783967515,
"least_squares_gain": 0.9332613356648428,
"residual_energy_fraction": 0.07081894696118633,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 5.25,
"ending_start_s": 267.3726077097506,
"lag_samples": 11559607,
"correlation": 0.962702505468764,
"least_squares_gain": 1.1142820364504904,
"residual_energy_fraction": 0.07320388599758257,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 6.25,
"ending_start_s": 268.3726077097506,
"lag_samples": 11559607,
"correlation": 0.962199173740389,
"least_squares_gain": 1.3510082333626956,
"residual_energy_fraction": 0.07417275009112007,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 7.25,
"ending_start_s": 269.3726077097506,
"lag_samples": 11559607,
"correlation": 0.9522187589901434,
"least_squares_gain": 1.9099804905388853,
"residual_energy_fraction": 0.09327943504720308,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 8.25,
"ending_start_s": 270.3726077097506,
"lag_samples": 11559607,
"correlation": 0.8223703600413792,
"least_squares_gain": 2.9359955945996274,
"residual_energy_fraction": 0.32370699081498305,
"role": "held-out-time"
},
{
"band_hz": "10000_16000",
"opening_start_s": 9.25,
"ending_start_s": 271.3726077097506,
"lag_samples": 11559607,
"correlation": 0.7949124697296073,
"least_squares_gain": 8.001052155908145,
"residual_energy_fraction": 0.36811416586655304,
"role": "held-out-time"
}
],
"note": "Shared recorded waveform is supported. Different fades, music overlap and MP3 encoding prevent exact equality. This establishes reuse of audio, not a key, a biological source identification, or a new steganographic payload. Delay was fitted on one interval; held-out validation used that fixed delay. Misalignment controls test waveform reuse only."
}{
"findings": {
"status": "completed; no supported additional audible message or key",
"waveform_reuse": "Confirmed prior finding; now tested with a frozen cancellation model.",
"noise_band_removed_percent": [
99.60134977254572,
99.75054637722494,
93.53243125557948
],
"global_model_relative_ranks": {
"gaussian": 0.3114754098360656,
"proxy": 0.2786885245901639
},
"production_simulations": 232,
"planted_cases": 192,
"detected_plants": 183,
"plant_limit": "Weak FSK detectable in8/16 examples at−20dB; after-encoding injections do not bound every hidden channel.",
"new_measured_detail": "Coarse1033.59375Hz FFT bin actually contains strongest nearby residual/ending peak1042.8463Hz.",
"fade_limit": "Four fade parameters are not uniquely identifiable from designated training intervals (rank3).",
"remaining_unknown": "Clean source noise, exact guitar mix, historical encoder state, and precise cause of every residual component are unknown.",
"recommended_action": "Deprioritize additional audible-channel decoding from this static unless an independent clean source or a reproducible new signal appears. Preserve v42 waveform-reuse finding. Existing archived OpenPuff payload remains separate.",
"new_plaintext": false,
"new_key": false
},
"checks": {
"status": "passed",
"source_sha256": "1ce3839b4a62462d9009c4469acc189b523e1bdcf338cb49cda1cd7bb4efffc6",
"tests": 4,
"training_windows": 28,
"disjoint_fitting_validation_verified": true,
"production_controls": 232,
"planted_cases": 192,
"planted_detections": 183,
"all_144_at_minus10dB_or_stronger_detected": true,
"known_parameter_FSK_bit_errors": 1,
"known_parameter_FSK_bits": 9600,
"independently_recalculated_joint_ranks": {
"gaussian": 0.3114754098360656,
"proxy": 0.2786885245901639
},
"workbook_formula_cells_verified": 22,
"workbook_sheets": [
"Results",
"Cancellation",
"Comparisons",
"Sensitivity"
],
"wav_files_checked": 20,
"json_files_checked": 23,
"visual_review": "All seven charts and previews of all four worksheet layouts were inspected. Spectrogram colorbar placement was corrected. No clipping or missing values remain in the inspected layouts.",
"metric_scope_correction": "Unused whole-buffer RMS diagnostics were removed from final control records because fade extrapolation outside the declared analysis interval makes those quantities meaningless. All primary metrics, controls and planted-signal comparisons use the declared validation intervals and are unchanged.",
"inferential_limit": "Comparisons are conditional on the two specified production models. They do not establish an exact historical reconstruction or universal absence of hidden data."
}
}{
"matrices": [
[
[
434,
1311,
312,
278,
966
],
[
204,
812,
934,
280,
1071
],
[
626,
620,
809,
620,
626
],
[
1071,
280,
934,
812,
204
],
[
966,
278,
312,
1311,
434
]
],
[
[
7,
375,
236,
190,
27,
17,
181
],
[
351,
223,
14,
47,
293,
98,
7
],
[
456,
232,
121,
114,
72,
23,
15
],
[
16,
65,
270,
331,
270,
65,
16
],
[
15,
23,
72,
114,
121,
232,
456
],
[
7,
98,
293,
47,
14,
223,
351
],
[
181,
17,
27,
190,
236,
375,
7
]
],
[
[
272,
138,
341,
131,
151
],
[
366,
199,
130,
320,
18
],
[
226,
245,
91,
245,
226
],
[
18,
320,
130,
199,
366
],
[
151,
131,
341,
138,
272
]
]
],
"verification": {
"summary": "Archived square constraints and LP1 duplication checked.",
"squares": [
{
"shape": [
5,
5
],
"rows": [
3301,
3301,
3301,
3301,
3301
],
"columns": [
3301,
3301,
3301,
3301,
3301
],
"diagonals": [
3301,
3301
],
"center": 809,
"rotational_symmetry": true
},
{
"shape": [
7,
7
],
"rows": [
1033,
1033,
1033,
1033,
1033,
1033,
1033
],
"columns": [
1033,
1033,
1033,
1033,
1033,
1033,
1033
],
"diagonals": [
1033,
1033
],
"center": 331,
"rotational_symmetry": true
},
{
"shape": [
5,
5
],
"rows": [
1033,
1033,
1033,
1033,
1033
],
"columns": [
1033,
1033,
1033,
1033,
1033
],
"diagonals": [
1033,
1033
],
"center": 91,
"rotational_symmetry": true
}
],
"printed_matches": [
{
"page": "LP1-05",
"archive_square": 3,
"exact_equal": true
},
{
"page": "LP1-16",
"archive_square": 1,
"exact_equal": true
}
],
"centers": [
809,
331,
91
],
"prior_observation": true,
"limitation": "Printed LP1 matches are reuse of two squares, not independent confirmations of LP."
},
"source_roles": {
"steps": [
{
"step": "Use the three squares and sums",
"support": "Direct artifact role",
"evidence": "Archived form asks for order5/sum3301, order7/sum1033, order5/sum1033; recovered/archived matrices satisfy those sums.",
"limit": "This explains the constants in the earlier puzzle stage; it does not independently validate the later LP interpretation."
},
{
"step": "Read squares in809→331→91 order",
"support": "Explicit archive order",
"evidence": "Extracted-file order and form order agree, preserved in the Feb7 payload.",
"limit": "Full payload fresh extraction still blocked; chronology of individual page delivery is a different ordering."
},
{
"step": "Select the center of each square",
"support": "Structural salience; thematic compatibility",
"evidence": "Centers are the unique cells fixed by180-degree rotation. Nearby text discusses inward discovery.",
"limit": "No inspected original instruction explicitly says to take these three center cells."
},
{
"step": "Apply prime-counting π(x)",
"support": "General prime theme; exact choice unproven",
"evidence": "LP1-05 names primes and the totient function.",
"limit": "π(x) counts primes≤x. Euler’s φ(x) counts coprimes≤x. Mentioning φ does not specify π."
},
{
"step": "Subtract consecutive counts, earlier minus later",
"support": "Community-proposed operation",
"evidence": "140−67=73;67−24=43. Equivalently count primes in(331,809] and(91,331].",
"limit": "No inspected original instruction specifies consecutive subtraction or this sign convention."
},
{
"step": "Map73 and43 through Gematria Primus",
"support": "Established mapping; application here inferred",
"evidence": "The GP table maps73 toL and43 toP.",
"limit": "LP is consistent with the already-known title; authorial intent not established."
},
{
"step": "Continue to a new key/message",
"support": "Unsupported by these tests",
"evidence": "The archive payload contains exactly three matrices, hence two consecutive differences.",
"limit": "No fourth source center or deterministic continuation instruction was found."
}
],
"inspected_sources": [
"Original signed carrier hex",
"Original form and signed request",
"Raw server-status square bytes",
"Entire locally catalogued solved-page text",
"LP1-04/05/16 in context",
"2016 signed hint from prior verification"
],
"conclusion": "Source support selects the square set/order and GP alphabet. It does not uniquely select center→π→subtraction. Possible intentional signature remains plausible; no recovered key or new plaintext.",
"pi": [
140,
67,
24
],
"phi": [
808,
330,
72
],
"phi_consecutive_differences": [
478,
258
],
"important_distinction": "3301 reversed is1033, both prime. The magic sums are designed stage requirements, not a second statistically independent success of the LP formula."
}
}{
"centers": [
809,
331,
91
],
"prime_counts": [
140,
67,
24
],
"differences": [
73,
43
],
"GP_letters": [
"L",
"P"
],
"cell_enumeration": {
"summary": "1 of 30625 arbitrary cell triples give LP.",
"total_cell_triples": 30625,
"LP_triples": 1,
"any_GP_pair": 399,
"LP_matches": [
{
"cells_1": [
[
3,
3
],
[
4,
4
],
[
3,
3
]
],
"values": [
809,
331,
91
]
}
]
},
"symmetry": "Noncentral cells occur in equal opposite pairs; odd output multiplicity can only come from the center triple.",
"latest_mechanism_findings": {
"confirmed": "Archived form explicitly prescribes sums 3301 and 1033; their reversal relationship is arithmetic fact.",
"new_conditional_result": "Assuming LP and forced C=91, parity forces A=809 and leaves B=331,333,335, all feasible under archived anchors.",
"specificity": "Among the frozen 12-function, six-order menu, only prime counting in ABC order gives two GP letters.",
"negative": "No tested border continuation or square-based Hill/periodic keystream candidate survives correction.",
"new_plaintext": false,
"new_confirmed_key": false,
"observed_candidate_scores": 982016,
"control_candidate_scores": 195421184,
"planted_exact_recoveries": 60,
"prior_art": "The LP center observation was supplied by the community. This pass adds conditional constraints and tests, not discovery of LP.",
"interpretation": "The deliberate number choices remain real evidence of design. These tests do not turn the LP observation into a working decryption instruction.",
"next_step": "Retain the center relation as a possible signpost. Require an independently motivated operation that predicts another unused value or complete output before expanding variants. Direct square-matrix and periodic square-keystream families tested here can be deprioritized."
},
"attribution": "Community observation supplied by the user; original author and first publication date unestablished."
}{
"scope": "LP2 0–55. Immediate rune pairs within pages, omitting delimiters. No pairs across page seams. Numeric page 50 contributes no rune pairs.",
"counts": {
"within_word": {
"n": 10028,
"repeats": 63,
"word_shuffle_exact_mean": 246.60621045621048
},
"word_boundary": {
"n": 2716,
"repeats": 22,
"word_shuffle_exact_mean": 85.44272679711261
},
"sentence_boundary": {
"n": 157,
"repeats": 1,
"word_shuffle_exact_mean": 4.058389642764642
},
"page_seam": {
"n": 54,
"repeats": 0,
"word_shuffle_exact_mean": 2.234052059052059
},
"same_page": {
"n": 12901,
"repeats": 86,
"word_shuffle_exact_mean": 336.1073268960877
}
},
"findings": [
{
"test": 1,
"name": "Image audit and localization",
"status": "Verified observation",
"finding": "All 86 reported repeats and 36 sampled nonrepeating pairs agree with native images. No target discrepancies found.",
"limit": "Targeted visual audit, not a full independent retranscription. Numeric-only page 50 has no rune pairs."
},
{
"test": 2,
"name": "Language and preprocessing",
"status": "Conditional negative",
"finding": "Across eight books and three normalizations, ordinary English controls have substantially more repeats. Removing within-word duplicates fails at word boundaries.",
"limit": "English spelling controls do not establish the unknown language or preprocessing. Word-length matching does not preserve syntax."
},
{
"test": 3,
"name": "Local transition structure",
"status": "Verified observation",
"finding": "The 29×29 table is consistent with a broadly uniform distribution over unequal pairs plus suppressed equal pairs. No individual pair survives the family-wise correction.",
"limit": "Consistency with this fitted statistical null does not identify a cipher or prove absence of longer dependencies."
},
{
"test": 4,
"name": "Changing state and resets",
"status": "No supported trigger",
"finding": "None of 200 context associations survives correction. Section repeat rates show no detected heterogeneity (simulation and chi-square checks).",
"limit": "Only 86 events are available. Tested layout proxies and nearby-rune rules are not every possible state change."
},
{
"test": 5,
"name": "Reversible mechanisms",
"status": "No accepted cipher",
"finding": "104 configurations evaluated, with 416 exact round-trip checks. A protected-zero differential construction came closest, then failed a stronger phase-frequency test.",
"limit": "This is a finite set of mechanisms and controls, not a universal exclusion of feedback, polygraphic or changing-alphabet ciphers."
},
{
"test": 6,
"name": "Frozen predictions",
"status": "Rate predicted; cipher not found",
"finding": "The constant rare-repeat estimate predicts about 55 repeats in the withheld sections; 50 occur. A word-parity lead loses to that baseline on withheld sections.",
"limit": "Sections were withheld from this round of tuning, not historically unseen. A predicted count is not plaintext."
}
]
}{
"pinned_commit": "7b3b320f1f873e31917ba74dfd68a374c8ec563a",
"attribution": "2retooz270703",
"signature_audit": [
{
"id": "SR01",
"finding": "Original grid reproduced",
"evidence": "729/729 symbols agree with our saved LP2 0–2 transcription; page lengths 262,266,201. Both attachments are byte-identical to the pinned repository files.",
"assessment": "Verified source consistency; does not independently solve the pages."
},
{
"id": "SR02",
"finding": "Chosen-route arithmetic reproduced",
"evidence": "17 blocks, 15 distinct keys, 61 rune subtractions; all agree. They use 54 distinct ciphertext cells (7.41% of729).",
"assessment": "Conditional reconstruction of the author-proposed text. Route choices supplied as inputs."
},
{
"id": "SR03",
"finding": "16/16 signature forecasts reproduce",
"evidence": "Both phase counter and outer bit propagated recursively. No resets from the observed next keys.",
"assessment": "Real retrospective fit on the documented primary route."
},
{
"id": "SR04",
"finding": "Restricted comparisons favor the stated rule",
"evidence": "1/16 square-symmetry/selector choices fits; 1/696 phase-order/threshold settings fits. Phase-only majority already matches13/16.",
"assessment": "Evidence of specificity in these bounded families; unknown historical search not corrected."
},
{
"id": "SR05",
"finding": "Alternate SOON exposes branch dependence",
"evidence": "Both documented SOON decryptions reproduce. Alternate key signature000 conflicts with forecast0,-1,0; substituting its cells also changes the following forecast.",
"assessment": "Does not refute the explicitly restricted primary route. Selection rule remains essential."
},
{
"id": "SR06",
"finding": "After THEN forecast remains untested",
"evidence": "Predicted phase0 and signature111; 44 equal-outer symmetric nodes represent26 keys, versus155 phase0 nodes.",
"assessment": "Keep as a frozen prospective constraint. No recovered next key or continuation."
}
],
"constraint_removal": {
"status": "complete",
"individual_constraints": 48,
"all_removal_combinations": "281474976710656",
"single_removals": 48,
"pair_removals": 1128,
"whole_stage_removals": 16,
"forecast_essential_constraint_ids": [
34,
35,
36,
37,
38,
39,
40,
41,
42,
44,
45,
46,
47
],
"minimum_retained_for_THEN_branch": 11,
"minimum_retained_for_forecast": 14,
"forecast_minimal_sufficient_sets": 8,
"branch_minimal_sufficient_sets": 20,
"forecast_single_point_failures": 13,
"branch_single_point_failures": 8,
"same_THEN_different_forecast_example": {
"removed": "SEE reading direction",
"S_original": 18,
"S_alternative": 13,
"original_forecast": [
1,
1,
1
],
"alternative_forecast": [
1,
0,
1
],
"THEN_key_path_unchanged": true
},
"closed_form_forecast_condition": {
"all_required": [
"DEATH:symmetry",
"DEATH:direction",
"SEE:policy",
"SEE:symmetry",
"SEE:direction",
"YOU:policy",
"YOU:symmetry",
"YOU:direction",
"SOON:policy",
"SOON:direction",
"THEN:policy",
"THEN:symmetry",
"THEN:direction"
],
"plus_one_of": [
[
"COLD:symmetry"
],
[
"COLD:direction"
],
[
"I MAY:policy"
],
[
"I MAY:symmetry"
],
[
"I MAY:direction"
],
[
"CRY:policy",
"CRY:symmetry"
],
[
"CRY:policy",
"CRY:direction"
],
[
"CRY:symmetry",
"CRY:direction"
]
]
},
"new_decryption": false,
"decision": "Park further numerical routing searches on this proposal until an independent rule selects movements, a new source constraint is available, or a frozen continuation succeeds. The conditional forecast survives only with a specific set of supplied route choices. This audit does not disprove every possible hidden mechanism."
},
"termination": [
{
"id": "T1",
"finding": "Candidate halt: boundary plus zero current direction",
"result": "Exactly one trigger among all61 read positions: final N of THEN at(25,27). Neither boundary nor zero direction alone is sufficient.",
"status": "Retain as a retrospective candidate, not a proof."
},
{
"id": "T2",
"finding": "All three phases blocked at final coordinate",
"result": "Phase0 andphase1 have direction(0,0); phase2 gives(0,+1), outside.13 of104 boundary cells share this property. It also occurs away from an edge at YOU.",
"status": "Conditional on keeping the movement origin fixed and forbidding wrap."
},
{
"id": "T3",
"finding": "Retrospective selection and route sensitivity",
"result": "1596 single/pair rules;9 isolate the final read,33 isolate its endpoint.15/17 endpoints can be isolated. Candidate holds for5/38 saved alternative routes, exactly those retaining the THEN path.",
"status": "Does not independently confirm the route or message."
},
{
"id": "T4",
"finding": "No demonstrated global exhaustion",
"result": "675/729 cells unused;442 grid mirrors. No exact tested full-state recurrence. Relocating within an incident mirror permits(25,18)->(25,19).",
"status": "Complete machine has no established halt rule."
},
{
"id": "M1-M6",
"finding": "Secondary-message searches",
"result": "49,774 target configurations;198 complete controls;10,078,178 total configurations. Minimum adjusted comparison0.80. No coherent second message or usable key recovered.",
"status": "Park these extraction families unless an independent clue narrows them."
}
]
}