Pith Number

pith:VAZJYZXK

pith:2004:VAZJYZXKPH4RXC2KUYGBKFOYGC

not attested not anchored not stored refs pending

A Mathematical Theory of the Topological Vertex

Chiu-Chu Melissa Liu, Jian Zhou, Jun Li, Kefeng Liu

arxiv:math/0408426 v3 · 2004-08-31 · math.AG · hep-th · math-ph · math.DG · 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{VAZJYZXKPH4RXC2KUYGBKFOYGC}

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	2026-05-18T02:37:59.977435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8329c66ea79f91b8b4aa60c1515d830b42d26a5c38dbe07055faeb696c076a5

Aliases

arxiv: math/0408426 · arxiv_version: math/0408426v3 · doi: 10.48550/arxiv.math/0408426 · pith_short_12: VAZJYZXKPH4R · pith_short_16: VAZJYZXKPH4RXC2K · pith_short_8: VAZJYZXK

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/VAZJYZXKPH4RXC2KUYGBKFOYGC \
  | 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: a8329c66ea79f91b8b4aa60c1515d830b42d26a5c38dbe07055faeb696c076a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7321921b33c54b9fea8928508e6f66cd017116f57da043f5e6f683914722fc2c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-08-31T03:27:44Z",
    "title_canon_sha256": "d0b9745f7e49e73dd6a612b0cde31307ad489f0569e7e85cc0f3c71cca5f6aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408426",
    "kind": "arxiv",
    "version": 3
  }
}