Pith Number

pith:XZLJ2IPZ

pith:2003:XZLJ2IPZAVZ2YB2WCALSJ45QJQ

not attested not anchored not stored refs pending

Gromov-Witten invariants of the Hilbert scheme of 3-points on P^2

Dan Edidin, Wei-ping Li, Zhenbo Qin

arxiv:math/0303367 v2 · 2003-03-28 · 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{XZLJ2IPZAVZ2YB2WCALSJ45QJQ}

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	2026-05-18T01:05:28.985612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be569d21f90573ac0756101724f3b04c18b90b94ebb0d46d9807116f4b4eb7c9

Aliases

arxiv: math/0303367 · arxiv_version: math/0303367v2 · doi: 10.48550/arxiv.math/0303367 · pith_short_12: XZLJ2IPZAVZ2 · pith_short_16: XZLJ2IPZAVZ2YB2W · pith_short_8: XZLJ2IPZ

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/XZLJ2IPZAVZ2YB2WCALSJ45QJQ \
  | 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: be569d21f90573ac0756101724f3b04c18b90b94ebb0d46d9807116f4b4eb7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab53539f194ff9f115e78427179a2521251cb6eef88962fc572c78d208a16b3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-03-28T19:43:54Z",
    "title_canon_sha256": "a5e1842268920568d73c4e0c4aec4e11d0a39239449808f7400452c2520dc2e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303367",
    "kind": "arxiv",
    "version": 2
  }
}