Pith Number

pith:JNWTMMUC

pith:2013:JNWTMMUCBIUS7LSQZL7YQF2E5P

not attested not anchored not stored refs pending

Geometric transversality in higher genus Gromov-Witten theory

Andreas Gerstenberger

arxiv:1309.1426 v3 · 2013-09-05 · 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{JNWTMMUCBIUS7LSQZL7YQF2E5P}

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

Reduced Gromov-Witten invariants without ghost bubble censorship

Receipt and verification

First computed	2026-05-18T02:51:08.430557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b6d3632820a292fae50caff881744ebdc4cec71b7bec0aee612134784583126

Aliases

arxiv: 1309.1426 · arxiv_version: 1309.1426v3 · doi: 10.48550/arxiv.1309.1426 · pith_short_12: JNWTMMUCBIUS · pith_short_16: JNWTMMUCBIUS7LSQ · pith_short_8: JNWTMMUC

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/JNWTMMUCBIUS7LSQZL7YQF2E5P \
  | 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: 4b6d3632820a292fae50caff881744ebdc4cec71b7bec0aee612134784583126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ae85a1679f40b2a9011a30290e782570c97d7daf606ec75846c2ffb7551e8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-09-05T18:28:30Z",
    "title_canon_sha256": "99c3873a62dbd709fd234074167531eea2144bcb4ce22d41eeaf9bb11f0d9408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1426",
    "kind": "arxiv",
    "version": 3
  }
}