Pith Number

pith:L57APA4S

pith:2011:L57APA4SAAYBTO5ILG274KB65O

not attested not anchored not stored refs pending

Open Gromov-Witten invariants in dimension four

Jean-Yves Welschinger (ICJ)

arxiv:1110.2705 v2 · 2011-10-12 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L57APA4SAAYBTO5ILG274KB65O}

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	2026-05-18T03:35:54.399245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7e078392003019bba859b5fe283eebabaaf92a85ba60899f44fe17a516adfe

Aliases

arxiv: 1110.2705 · arxiv_version: 1110.2705v2 · doi: 10.48550/arxiv.1110.2705 · pith_short_12: L57APA4SAAYB · pith_short_16: L57APA4SAAYBTO5I · pith_short_8: L57APA4S

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/L57APA4SAAYBTO5ILG274KB65O \
  | 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: 5f7e078392003019bba859b5fe283eebabaaf92a85ba60899f44fe17a516adfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304da3af372cfe5a832cd16992aa4c405f8f210a7b6ef8423086fb42e596ffeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-10-12T17:08:03Z",
    "title_canon_sha256": "9535f098f8862047e980ff82e2529a8c3364080b1eb1bfe135561a9bfe30fd8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2705",
    "kind": "arxiv",
    "version": 2
  }
}