Pith Number

pith:M3YMGGVA

pith:2010:M3YMGGVAVFL7VG5RY3LH2WMGMF

not attested not anchored not stored refs pending

The Kontsevich constants for the volume of the moduli of curves and topological recursion

Brad Safnuk, Kevin M. Chapman, Motohico Mulase

arxiv:1009.2055 v3 · 2010-09-10 · math.AG · math-ph · math.CO · math.MP · 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{M3YMGGVAVFL7VG5RY3LH2WMGMF}

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.

Receipt and verification

First computed	2026-05-18T02:38:44.809869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f0c31aa0a957fa9bb1c6d67d598661415abf020517395dcddcd78de29cc9b5

Aliases

arxiv: 1009.2055 · arxiv_version: 1009.2055v3 · doi: 10.48550/arxiv.1009.2055 · pith_short_12: M3YMGGVAVFL7 · pith_short_16: M3YMGGVAVFL7VG5R · pith_short_8: M3YMGGVA

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/M3YMGGVAVFL7VG5RY3LH2WMGMF \
  | 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: 66f0c31aa0a957fa9bb1c6d67d598661415abf020517395dcddcd78de29cc9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcfab574c223572321daf2f4d452327d1f0edc13ac2f061d4889f8d9bc65d57a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-10T17:10:22Z",
    "title_canon_sha256": "8b3a88a67f6729553c3e5f639f14ceb95d286f1fa19f5ee42a9f7ff616ced561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2055",
    "kind": "arxiv",
    "version": 3
  }
}