Pith Number

pith:MC7LZ75Y

pith:2012:MC7LZ75Y6QJMDWBWZ5SU3XYDUD

not attested not anchored not stored refs pending

Genus Two Stable Maps, Local Equations and Modular Resolutions

Jingchen Niu, Jun Li, Yi Hu

arxiv:1201.2427 v4 · 2012-01-11 · 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{MC7LZ75Y6QJMDWBWZ5SU3XYDUD}

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

Higher genus reduced Gromov--Witten invariants via desingularizations of sheaves

Reduced Gromov-Witten invariants without ghost bubble censorship

Receipt and verification

First computed	2026-07-05T12:05:04.949329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bebcffb8f412c1d836cf654ddf03a0ec68c5a92a5da4e3083993e0f0258484

Aliases

arxiv: 1201.2427 · arxiv_version: 1201.2427v4 · doi: 10.48550/arxiv.1201.2427 · pith_short_12: MC7LZ75Y6QJM · pith_short_16: MC7LZ75Y6QJMDWBW · pith_short_8: MC7LZ75Y

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/MC7LZ75Y6QJMDWBWZ5SU3XYDUD \
  | 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: 60bebcffb8f412c1d836cf654ddf03a0ec68c5a92a5da4e3083993e0f0258484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63395ca365bf373ebe9340065fa67215f097f0e93c56bbb0e823e95e955e39bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-11T21:30:22Z",
    "title_canon_sha256": "6addf3df896dc3feb5d73608d3bab71c345caddf272cf849a46d02534b1eee5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2427",
    "kind": "arxiv",
    "version": 4
  }
}