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70 changes: 70 additions & 0 deletions research/p104-temporal-chart120-split/APPLICATION.md
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# Complete signed 17-stage application

All three direct CPython 3.14.7 commands passed. Final registered isolated
Python 3.12.16 comparison passed all three commands and every frozen receipt field. These are conditional finite checks;
the selected frontier and five framework assumptions are unchanged.

The full application has **110434 paid positions**, **22342
productive fields**, surplus **1424**, and zero empty-root credit.
Both invoices are reconstructed from the exact native words and unchanged
signed caller. The claim **κ=.003643180671645** improves #7140 by
**.000000221652614**. Both directed price engines reject the predecessor invoice
at the new claim. The current invoice crossing is strictly bracketed by

```
(0.0036431806716457592014331762194701,
0.0036431806716457592014331762194702).
```

| Fresh check | Result |
|---|---:|
|Ordinary source-unit work|779260044 < 1000000000|
|Precision context c|2362|
|Context height / mass exponent|406 / 1181|
|Native scale / fractional bits|1125 / 25|
|Owned banks per raw occurrence|935|
|Scalar service bound|42835744|
|Scalar step coefficient|44916533100544|
|Monomial map slots|298400|
|Elementary record bound|25442777600|
|Actual ambient / compiler cap|145 / 153|
|Maximum scalar numerator bits|24|
|Kstar / context-bound bits|14093 / 14104|

The 17 calls reserve 55 owned labels each, **935 banks**, including both new
buffers. Ordinary accounting includes all 58 native owned lifetimes; peak
simultaneous ownership is 44. Every added INIT, CLEAR, ADD, SCALE, MOVE,
arbitrary public input and conversion is charged. These are source-unit bounds
and compiler substitutions, not measured machine-instruction counts or a
compiled top-level benchmark.

The unchanged caller has 4,783 symbolic events; its rational and integer replays
pass, and its SHA256 remains `255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc`.
Every one of the **3,038 paid/helper chart maps and 104 main boundaries** is
checked with phase and owner bindings. The native check separately covers
six sets of 512 Gaussian columns: (3,120), (3,127), (120,127), (120,207),
(597,120), (597,207). No previously absent native pair is introduced, but the
affected pairs are explicitly rechecked. Finite physical routes also pass.

The freshly derived grid has maximal scaled mass
`814448574117075/8192` and fractional height 25; F24 is rejected.
Both precision paths preserve the exact lifecycle assertion at (58,44,55).
Rounded native and caller envelopes are recomputed with every new operation;
predecessor receipts are not evidence for the changed word.

The full gate has H=16502900000000000000000, written log power 2236,
and compiler gap 1/100000000000000000. All **54 strict and four functional**
outer conditions pass. The lower-crossing probe is rejected; the claim and its
accepted probe lie strictly below the crossing. No empty credit is used.
The separate 18-stage ingredient has ordinary work 853086328
and claim 3642574878947/1000000000000000; it is distinct from the full 17-stage claim.

RESULT.json, NATIVE-RESULT.json and CERTIFICATE.json retain the full receipts.
The registered hook authenticates the complete predecessor closure and six
byte-identical implementations, then compares every frozen receipt field.
It does not establish human/formal acceptance, maintainer admission or a
compiled top-level multiplication theorem. See PROOF.md, VALIDATION.md and NOTICE.

Prepared for dillona with substantial OpenAI Codex assistance; no subagents.
Credit Ali Romman, CubeJerry, Matarener, Rohan Arun, ToikY and every retained
source author. Apache-2.0.
33 changes: 33 additions & 0 deletions research/p104-temporal-chart120-split/CERTIFICATE.json
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{
"boundary_pairing": "1",
"candidate_sha256": "c38b79279f665d46d795501de6645a8a16d9324c22199fa615313b6abfdc3e2f",
"controls": {
"gather_after_retirement": true,
"incomplete_paid_path": true,
"injection_before_retirement": true,
"omitted_gathers_observation": true,
"omitted_injections_observation": true,
"omitted_paid_midpoint_cost": true,
"retirement_before_last_gather": true,
"wrong_gathers_coefficient": true,
"wrong_injections_coefficient": true,
"wrong_productive_ranks": true
},
"earliest_injection": 39280,
"gather_count": 2,
"injection_count": 6,
"latest_gather": 39225,
"neutral_paths": 7,
"paid_paths": 1,
"retirement_cut": 39225,
"source_sha256": "81f9b2e0a170aa3ab0cd4bb1056c834ebe0b98eaf37abe5986c6e53abd1257ea",
"status": "PASS_EXACT_TIMED_OBSERVATIONS",
"vectors": {
"c": {
"1449": "1"
},
"d": {
"1449": "1"
}
}
}
44 changes: 44 additions & 0 deletions research/p104-temporal-chart120-split/DISCOVERY.json
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{
"source_commit": "a95783a8c861248a759136d4285ea725499cf231",
"native": "81f9b2e0a170aa3ab0cd4bb1056c834ebe0b98eaf37abe5986c6e53abd1257ea",
"optional_search": {
"status": "EXACT_TEMPORAL_NOMINATION",
"counts": {
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"neutral_observations_0": 10438,
"observations_1": 22345,
"neutral_observations_1": 10438,
"frames": 1093,
"helpers": 620,
"prefix_pure": 126,
"suffix_pure": 99,
"basis_pairs": 100,
"causal_pairs": 100,
"causal_nonzero_pairs": 1,
"resident_pairs": 1,
"paid_paths_total": 7667,
"paid_paths_processed": 715
},
"frame_counts": [],
"seconds": 27.674129247665405,
"scope": "One complete contact-free path may pass through an existing intermediate frame, paying the exact two-leg histogram. All other observations come from neutral original-path retiming. Exact full rational baseline plus one outside-projected prefix/suffix vector; finite alphabet/basis nomination. Source group(3,127). All paid support, chronology and owned stock need constructive replay."
},
"controls": {
"outside_cancellation": true,
"coefficient_reconstruction": true,
"contamination_rejected": true,
"earliest_collection_latest_delivery": true,
"paid_outside_projection": true
},
"retained_neutral_path_ids": [
4793,
4794,
4799,
9513,
10178,
10179,
10325
],
"retained_paid_path_id": 714,
"scope": "First positive on exact7140 after715 of7667 individually affordable one-path candidates. Public exact certificate and full native/application do not trust discovery."
}
12 changes: 12 additions & 0 deletions research/p104-temporal-chart120-split/ENVIRONMENT.json
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{
"python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]",
"platform": "macOS-27.0.1-arm64-arm-64bit-Mach-O",
"registered_replay": {
"python": "3.12.16",
"platform": "macOS-27.0.1-arm64-arm-64bit",
"result": "PASS all three commands; every frozen receipt field matched"
},
"source_pins": "INPUTS.json and nested manifests",
"parallelism": "No subagents; serial scientific runs; isolated worktree",
"completed_utc": "2026-11-11T00:32:12.219433+00:00"
}
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