Pith Number

pith:QF5ORMMT

pith:2017:QF5ORMMTVBHLNHLOPCAZD6ECNY

not attested not anchored not stored refs pending

Simple maps, Hurwitz numbers, and Topological Recursion

Elba Garcia-Failde, Ga\"etan Borot

arxiv:1710.07851 v2 · 2017-10-21 · math-ph · math.AG · math.CO · 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{QF5ORMMTVBHLNHLOPCAZD6ECNY}

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 bijective topological recursion for maps

Receipt and verification

First computed	2026-07-05T06:28:10.546163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817ae8b193a84eb69d6e788191f8826e08a0ebab54bc45d89cdd0bf7c3053f85

Aliases

arxiv: 1710.07851 · arxiv_version: 1710.07851v2 · doi: 10.48550/arxiv.1710.07851 · pith_short_12: QF5ORMMTVBHL · pith_short_16: QF5ORMMTVBHLNHLO · pith_short_8: QF5ORMMT

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/QF5ORMMTVBHLNHLOPCAZD6ECNY \
  | 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: 817ae8b193a84eb69d6e788191f8826e08a0ebab54bc45d89cdd0bf7c3053f85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f9d483158448529040915a7d4320ffce81bf372ce03dfc6654d411e89b14fa",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-10-21T20:35:46Z",
    "title_canon_sha256": "e451ee3eac47a14c772d98abaf4215b273a378f035fc0d314ab0c8892639a3d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07851",
    "kind": "arxiv",
    "version": 2
  }
}