Pith Number

pith:MXFJIXMA

pith:2013:MXFJIXMAZU76WOBVX5DJ5RWK2P

not attested not anchored not stored refs pending

Relations on Mbar_{g,n} via 3-spin structures

Aaron Pixton, Dimitri Zvonkine, Rahul Pandharipande

arxiv:1303.1043 v3 · 2013-03-05 · 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{MXFJIXMAZU76WOBVX5DJ5RWK2P}

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

The virtual fundamental class for the moduli space of surfaces of general type

Reconstruction of F-cohomological field theories on moduli of compact type

Receipt and verification

First computed	2026-05-18T02:21:26.649329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ca945d80cd3feb3835bf469ec6cad3f42713a01a6632959d75a207eabac944

Aliases

arxiv: 1303.1043 · arxiv_version: 1303.1043v3 · doi: 10.48550/arxiv.1303.1043 · pith_short_12: MXFJIXMAZU76 · pith_short_16: MXFJIXMAZU76WOBV · pith_short_8: MXFJIXMA

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/MXFJIXMAZU76WOBVX5DJ5RWK2P \
  | 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: 65ca945d80cd3feb3835bf469ec6cad3f42713a01a6632959d75a207eabac944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f4f0ad8d3b67ea390341c44397027bb7d2a5c68c394e521194725954886006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-05T14:21:32Z",
    "title_canon_sha256": "c9f74ecbe94fc6ef42b47b9903750a08c2223ba8fd97aad2c5c26b7d609bedb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1043",
    "kind": "arxiv",
    "version": 3
  }
}