Pith Number

pith:TIIVIQJP

pith:1997:TIIVIQJPYJO2VC6UOWGCGPN43J

not attested not anchored not stored refs pending

The product formula for Gromov-Witten invariants

Kai Behrend

arxiv:alg-geom/9710014 v1 · 1997-10-10 · 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{TIIVIQJPYJO2VC6UOWGCGPN43J}

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

2 papers in Pith

A Celestial Description of Planar Super-Yang-Mills Theory

Functoriality of logarithmic Hochschild homology of log smooth pairs

Receipt and verification

First computed	2026-07-04T14:10:03.257437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1154412fc25daa8bd4758c233dbcda4977314b7bec8283c7c94604d79b0c24

Aliases

arxiv: alg-geom/9710014 · arxiv_version: alg-geom/9710014v1 · doi: 10.48550/arxiv.alg-geom/9710014 · pith_short_12: TIIVIQJPYJO2 · pith_short_16: TIIVIQJPYJO2VC6U · pith_short_8: TIIVIQJP

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/TIIVIQJPYJO2VC6UOWGCGPN43J \
  | 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: 9a1154412fc25daa8bd4758c233dbcda4977314b7bec8283c7c94604d79b0c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebaf665f32553e2c75e081f8d2f8a51215983f912c827a83443af9c558705ab6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-10-10T21:53:29Z",
    "title_canon_sha256": "da53e7429c5d62b022ff8f76645510da2e55c7e0c93a613987af3549f6d29ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9710014",
    "kind": "arxiv",
    "version": 1
  }
}