Historical mathematical material

Original source observation: . Source commits are the original observation pins. Observation is not scientific revalidation.

main 3dc63c7d9e56fd91b107beb47d03a5d9361faba7 · Math- 19a55750451b8016b50d1d20be6a18c021807ecb

Original archived source and index references (original byte identities): Current status source (STATUS.md · Git blob aa5e806fe6a9a71ed994a0f12e92125558880dc8 · 19407 bytes · SHA-256 ca34f5fc91ee234fecaf16ddd06e34904ffe773810213432c03d5df7c7c6971b) · Current research guide (docs/RESEARCH_INDEX.md · Git blob 4420e14472456fd90f681c1dcba61b125b01788f · 67837 bytes · SHA-256 c1a418f4ec30908e05ed78c993d2c25e8af1c7e021b290bc374d48387b00d8c5) · Current proof index (PROOF_INDEX.md · Git blob 6b406a44acff3005b1112e932b9f053324e96632 · 37988 bytes · SHA-256 4ad88f3e5e43a4caaada8124eade96114336b7c80ca5cbaeb2aab934f7862c58)

Coverage: mathematical-material-only. This compact projection retains the recorded graph, equation excerpts and their selected source and review file identities.

Versions record source material and archived index context. A changed version is not a new mathematical result, proof or scientific acceptance.

Current mathematical atlas · Historical graph, equation excerpts and selected sources · Exact historical mathematical projection. Scientific effect: NONE.

Immutable historical mathematical record · mathematical SHA-256 5d1bfc9b10db25c3dcdcbf21a410aa0bc3d62e97c91a9bebbfde4f2fb65a4724 · exact projection SHA-256 43f3953b279cc751ad5b2e58a3cf834b2a7f66c37e119d5392263d565aa877e4.

math.p15-price-boundary

Original kind: candidate · recorded classification: REFUTED.

Independent evidence metadata axes

source
recorded
review
not_recorded
kernel
not_recorded
computation
not_recorded
alignment
not_recorded

These values describe metadata presence, not a proof result, applicability or scientific acceptance. No kernel, computation or alignment record is admitted by this graph export.

Graph-to-artifact binding: unresolved; artifact roles: unknown; custody: unknown. No Artifact Index mapping is inferred.

Source and recorded review references

Source: frontiers/three_fronts_20260924/P15_PRICE_BOUNDARY.md (complete document at its original pinned source revision; no document text was acquired into this page).

Review report metadata: not_recorded.

Original node metadata

{
  "classification": "REFUTED",
  "controlling": false,
  "fingerprint": "498af650ef7139c39d2630561dbfd0822c495ce6308a6cac8b767aefe0c2a40b",
  "kind": "candidate",
  "layer": "D6",
  "notes": "Unrestricted same-palette transformed-price extension is false",
  "source": "frontiers/three_fronts_20260924/P15_PRICE_BOUNDARY.md"
}

Typed neighbors

Directions and relation labels are preserved from the selected graph snapshot.

Outgoing required

None recorded.

Outgoing context

None recorded.

Incoming required

None recorded.

Incoming context