Pith Number

pith:3SDKZSMO

pith:2018:3SDKZSMOKVRHMPML5IMUUSNZ64

not attested not anchored not stored refs pending

Genus Expansions of Hermitian One-Matrix Models: Fat Graphs vs. Thin Graphs

Jian Zhou

arxiv:1809.10870 v1 · 2018-09-28 · math-ph · 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{3SDKZSMOKVRHMPML5IMUUSNZ64}

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	2026-05-18T00:04:34.779525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc86acc98e5562763d8bea194a49b9f70391585fe2127b508c006ef63d266567

Aliases

arxiv: 1809.10870 · arxiv_version: 1809.10870v1 · doi: 10.48550/arxiv.1809.10870 · pith_short_12: 3SDKZSMOKVRH · pith_short_16: 3SDKZSMOKVRHMPML · pith_short_8: 3SDKZSMO

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/3SDKZSMOKVRHMPML5IMUUSNZ64 \
  | 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: dc86acc98e5562763d8bea194a49b9f70391585fe2127b508c006ef63d266567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9342614501debace0917e03b5d2b9cc520ece7c06954cdfaeb2d04e85062a965",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-28T06:19:54Z",
    "title_canon_sha256": "8e8c66edec6023bbcd1d837c8414eede55892d689909c9a3552497e438d4962c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10870",
    "kind": "arxiv",
    "version": 1
  }
}