Pith Number

pith:Y2XQSE6Z

pith:2019:Y2XQSE6ZTRPHGU5MWKABZS4NHY

not attested not anchored not stored refs pending

Witten-Dijkgraaf-Verlinde-Verlinde equation and its application to relative Gromov-Witten theory

Honglu Fan, Longting Wu

arxiv:1902.05739 v2 · 2019-02-15 · 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{Y2XQSE6ZTRPHGU5MWKABZS4NHY}

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	2026-07-05T00:27:57.460698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6af0913d99c5e7353acb2801ccb8d3e0c496c2d57bc576df4b486dcc1d0c051

Aliases

arxiv: 1902.05739 · arxiv_version: 1902.05739v2 · doi: 10.48550/arxiv.1902.05739 · pith_short_12: Y2XQSE6ZTRPH · pith_short_16: Y2XQSE6ZTRPHGU5M · pith_short_8: Y2XQSE6Z

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/Y2XQSE6ZTRPHGU5MWKABZS4NHY \
  | 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: c6af0913d99c5e7353acb2801ccb8d3e0c496c2d57bc576df4b486dcc1d0c051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3a08e06562d6f995e2a79868b794891fad30709a64905cbe63ceddcc33452a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-15T09:39:23Z",
    "title_canon_sha256": "72947a97c8f35a924e5ae1ec0096ac21ddabdf876ed10a94efdd4eff3f28ee82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05739",
    "kind": "arxiv",
    "version": 2
  }
}