Pith Number

pith:VYYS7LFJ

pith:2011:VYYS7LFJSKF72LOHGFG3TMI6SP

not attested not anchored not stored refs pending

Towards large genus asymtotics of intersection numbers on moduli spaces of curves

Maryam Mirzakhani, Peter Zograf

arxiv:1112.1151 v1 · 2011-12-06 · 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{VYYS7LFJSKF72LOHGFG3TMI6SP}

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

Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity

Receipt and verification

First computed	2026-05-18T04:06:56.137291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae312faca9928bfd2dc7314db9b11e93f4b5c4498438d2f679973b4898023b2f

Aliases

arxiv: 1112.1151 · arxiv_version: 1112.1151v1 · doi: 10.48550/arxiv.1112.1151 · pith_short_12: VYYS7LFJSKF7 · pith_short_16: VYYS7LFJSKF72LOH · pith_short_8: VYYS7LFJ

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/VYYS7LFJSKF72LOHGFG3TMI6SP \
  | 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: ae312faca9928bfd2dc7314db9b11e93f4b5c4498438d2f679973b4898023b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6793282fa9987a2db51d4c1559a3ffeea36497235bcba3ee55fb5646fee3716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-06T03:37:11Z",
    "title_canon_sha256": "8921d5ef40b5453d8d37dc02618c1c586253df527684a01c3d513c90cbdea0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1151",
    "kind": "arxiv",
    "version": 1
  }
}