Pith Number

pith:3UU4MYIE

pith:2021:3UU4MYIEUT3UHCQFT5FGCSZLC3

not attested not anchored not stored refs pending

Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers

Bertrand Eynard, Elba Garcia-Failde, Rapha\"el Belliard, S\'everin Charbonnier

arxiv:2105.08035 v3 · 2021-05-17 · math.CO · 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{3UU4MYIEUT3UHCQFT5FGCSZLC3}

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

A Matrix Model for Higher-Genus Fuss--Catalan Numbers

Receipt and verification

First computed	2026-07-05T07:06:17.252808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd29c66104a4f7438a059f4a614b2b16c310d11543c4a7c33f31b3a3d499796f

Aliases

arxiv: 2105.08035 · arxiv_version: 2105.08035v3 · doi: 10.48550/arxiv.2105.08035 · pith_short_12: 3UU4MYIEUT3U · pith_short_16: 3UU4MYIEUT3UHCQF · pith_short_8: 3UU4MYIE

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/3UU4MYIEUT3UHCQFT5FGCSZLC3 \
  | 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: dd29c66104a4f7438a059f4a614b2b16c310d11543c4a7c33f31b3a3d499796f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b5bf349a33ad580be82b6d168f9a8e2bf23b481750ac40b79789d2b6393db3",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-05-17T17:36:32Z",
    "title_canon_sha256": "24c0137d3c920626a01b55504064b61cae6fc7e889f2846bbd34ec513f9f7071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08035",
    "kind": "arxiv",
    "version": 3
  }
}