Pith Number

pith:GRA5EJZF

pith:2010:GRA5EJZFVC3PLWO7KO7H7L7CBJ

not attested not anchored not stored refs pending

Topological recursion for symplectic volumes of moduli spaces of curves

Brad Safnuk, David Cochran, Julia Bennett, Kaitlin Woskoff

arxiv:1010.1747 v3 · 2010-10-08 · math.SG · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRA5EJZFVC3PLWO7KO7H7L7CBJ}

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

Grothendieck's Dessins d'Enfants in a Web of Dualities. II

Receipt and verification

First computed	2026-05-18T04:26:43.424794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3441d22725a8b6f5d9df53be7fafe20a7cefeab7568cf8fd9ba15d0f7adcc507

Aliases

arxiv: 1010.1747 · arxiv_version: 1010.1747v3 · doi: 10.48550/arxiv.1010.1747 · pith_short_12: GRA5EJZFVC3P · pith_short_16: GRA5EJZFVC3PLWO7 · pith_short_8: GRA5EJZF

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/GRA5EJZFVC3PLWO7KO7H7L7CBJ \
  | 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: 3441d22725a8b6f5d9df53be7fafe20a7cefeab7568cf8fd9ba15d0f7adcc507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e859644aaf86ea8aa1d5f7b4dfe01f2bd4e468e1751d052cb6e19184fa30ec4d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-10-08T17:43:06Z",
    "title_canon_sha256": "a48b6f32ead2a422af691373c30ba70dba0d38850776312e9ed2c27745ed33c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1747",
    "kind": "arxiv",
    "version": 3
  }
}