Pith Number

pith:T7P3SJLX

pith:2025:T7P3SJLX2F7AWGS7LC5J2MS75G

not attested not anchored not stored refs pending

Relative mirror symmetry, theta functions and the Gamma conjecture

Fenglong You

arxiv:2508.06750 v1 · 2025-08-08 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7P3SJLX2F7AWGS7LC5J2MS75G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:51:06.193706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fdfb92577d17e0b1a5f58ba9d325fe99fbef2622ce742a909cdeec9edd3ee20

Aliases

arxiv: 2508.06750 · arxiv_version: 2508.06750v1 · doi: 10.48550/arxiv.2508.06750 · pith_short_12: T7P3SJLX2F7A · pith_short_16: T7P3SJLX2F7AWGS7 · pith_short_8: T7P3SJLX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7P3SJLX2F7AWGS7LC5J2MS75G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9fdfb92577d17e0b1a5f58ba9d325fe99fbef2622ce742a909cdeec9edd3ee20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c49346cebcdb0435a395130fd47242872356fa461b2427ec69ef23787c76cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-08T23:27:26Z",
    "title_canon_sha256": "e48008bcfc4ab82866ca9d8254258d5696c7163e46de5a8ac0779b80b4423001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06750",
    "kind": "arxiv",
    "version": 1
  }
}