Pith Number

pith:EF6OONR2

pith:2004:EF6OONR2F67TS5JE36DL5INGOH

not attested not anchored not stored refs pending

A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds

Pan Peng

arxiv:math/0410540 v3 · 2004-10-26 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EF6OONR2F67TS5JE36DL5INGOH}

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.

Cited by

1 paper in Pith

Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

Receipt and verification

First computed	2026-07-04T14:39:18.373035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217ce7363a2fbf397524df86bea1a671d022e864b737227b2c0b8ebecd21355f

Aliases

arxiv: math/0410540 · arxiv_version: math/0410540v3 · doi: 10.48550/arxiv.math/0410540 · pith_short_12: EF6OONR2F67T · pith_short_16: EF6OONR2F67TS5JE · pith_short_8: EF6OONR2

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/EF6OONR2F67TS5JE36DL5INGOH \
  | 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: 217ce7363a2fbf397524df86bea1a671d022e864b737227b2c0b8ebecd21355f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18c6bdf691b416f781bb91a0035499fcbbed231bcc020fc008a50182a3f45f3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-10-26T01:10:37Z",
    "title_canon_sha256": "80b43b6dbb2f3d67db76e652b08aa1a86cc1d7ff5470232f3ce97c031d2ce869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410540",
    "kind": "arxiv",
    "version": 3
  }
}