Pith Number

pith:WR4QKSSZ

pith:2017:WR4QKSSZY43QCFQO725VTEDNT3

not attested not anchored not stored refs pending

The ABCD of topological recursion

Ga\"etan Borot, Jorgen Ellegaard Andersen, Leonid O. Chekhov, Nicolas Orantin

arxiv:1703.03307 v5 · 2017-03-09 · math-ph · math.AG · 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{WR4QKSSZY43QCFQO725VTEDNT3}

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	2026-07-05T07:44:49.576387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b479054a59c73701160efebb59906d9ecf5691150ccc55f090b1cc1fc88cf97f

Aliases

arxiv: 1703.03307 · arxiv_version: 1703.03307v5 · doi: 10.48550/arxiv.1703.03307 · pith_short_12: WR4QKSSZY43Q · pith_short_16: WR4QKSSZY43QCFQO · pith_short_8: WR4QKSSZ

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/WR4QKSSZY43QCFQO725VTEDNT3 \
  | 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: b479054a59c73701160efebb59906d9ecf5691150ccc55f090b1cc1fc88cf97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3125ad8657ab7f906398ca7d50d3f84c59da7dee8c6c1c96032e752bc2401b6d",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-09T15:49:14Z",
    "title_canon_sha256": "9444031007d67168d904aa99522ba41ca2e0b75b591120026c864a31ad59a114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03307",
    "kind": "arxiv",
    "version": 5
  }
}