Pith Number

pith:FG5Z3RH3

pith:1996:FG5Z3RH3NKWKGROU4D2O57PSVC

not attested not anchored not stored refs pending

Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

Gang Tian, Jun Li

arxiv:alg-geom/9602007 v6 · 1996-02-09 · alg-geom · 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{FG5Z3RH3NKWKGROU4D2O57PSVC}

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

Virtual Jeffrey--Kirwan localisation

Receipt and verification

First computed	2026-07-04T15:07:36.281335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bb9dc4fb6aaca345d4e0f4eefdf2a8949501557d60f5095faecc9d5f39a9dc

Aliases

arxiv: alg-geom/9602007 · arxiv_version: alg-geom/9602007v6 · doi: 10.48550/arxiv.alg-geom/9602007 · pith_short_12: FG5Z3RH3NKWK · pith_short_16: FG5Z3RH3NKWKGROU · pith_short_8: FG5Z3RH3

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/FG5Z3RH3NKWKGROU4D2O57PSVC \
  | 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: 29bb9dc4fb6aaca345d4e0f4eefdf2a8949501557d60f5095faecc9d5f39a9dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71c0f5055cabd6c03df7aba96d75a35ad4237667e727e1e94991677e612bbe17",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-02-09T07:08:23Z",
    "title_canon_sha256": "df4c615fc3ca0b3916e438e881f0dd413a76316993be6c8997c19d16d9f98c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9602007",
    "kind": "arxiv",
    "version": 6
  }
}