Skip to content
ASTRAL GATELaboratory

VAL-B1-HOWARD-242-246 · HISTORICAL BENCHMARK / NOT CURRENT ENGINE SPOF

Howard 1984 large-n asymptotic equations

Human source-transcription checkpoint for Howard equations (2.42)–(2.46). Modern-engine progress does not retroactively repair Howard's undocumented intermediate algebra.

GPT_VISUALLY_RESOLVEDHUMAN OPENSECOND_INDEPENDENT_SCAN = NOT_FOUNDDERIVATION OPEN

Checkpoint ladder

  1. SOURCE

    Source image acquired (600-dpi APS, one copy)

    PASS

  2. SOURCE

    Machine / OCR read

    PARTIAL

  3. SOURCE

    GPT visual read

    PASS (not SOURCE_CERTIFIED)

  4. SOURCE

    Human independent glyph read

    OPEN

  5. SOURCE

    Second independent source / scan

    NOT_FOUND

  6. DERIVATION

    Large-n tail operator derivation

    OPEN

  7. NUMERICAL

    COMPLETE Ward numerical test

    LOCKED

  8. NUMERICAL

    Cross-host reproduction

    LOCKED

K. W. Howard, Phys. Rev. D 30, 2532 (1984). Human visual confirmation remains OPEN until two independent structured human reviews agree on every material field. GPT visual transcription is not a human signature.

SECOND_INDEPENDENT_SCAN = NOT_FOUND. Same-image human agreement is not a second source. Only one distinct APS source copy is currently available. Cairo renders of the same pages were received and discarded as a second scan.

N_TAIL_OWNER remains NOT_YET_EXONERATED. Do not rewrite the unresolved historical large-n tail derivation as solved because the modern engine advanced.

Qualifiers

  • A later PASS does not rewrite an earlier OPEN.
  • Two humans on one APS image do not create a second source.
  • Kept historically honest.

Updated 2026-09-12. All checkpoints · VAL-B1-SCALAR-TRACE-R6 · VAL-B1-PMR-CNG-CONFIRMATION · VAL-B1-PUBLISHED-HH-CURVES · VAL-B1-HADAMARD-E-CANDIDATE · VAL-B1-PMR-CNG-DISCOVERY · VAL-B1-PMR-ASYMPTOTIC-AUDIT · VAL-B1-PMR-ANGULAR-GATE · VAL-B1-MTAU-SIGN-REPRO · VAL-B1-EXTCOORD-HH · VAL-B1-EXTCOORD-PHI2-DERIV · VAL-B1-EXTCOORD-RSET-4PT