Pith Number

pith:EFZYJGA5

pith:2021:EFZYJGA5V6VUHQVIJOLXJ3POW2

not attested not anchored not stored refs pending

Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants

Emmanuel Guitter, Gr\'egory Miermont, J\'er\'emie Bouttier

arxiv:2104.10084 v2 · 2021-04-20 · math.CO · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFZYJGA5V6VUHQVIJOLXJ3POW2}

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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	2026-07-05T05:18:59.906803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217384981dafab43c2a84b9774edeeb683bdaff3949856b63cda6c5ec99522fb

Aliases

arxiv: 2104.10084 · arxiv_version: 2104.10084v2 · doi: 10.48550/arxiv.2104.10084 · pith_short_12: EFZYJGA5V6VU · pith_short_16: EFZYJGA5V6VUHQVI · pith_short_8: EFZYJGA5

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/EFZYJGA5V6VUHQVIJOLXJ3POW2 \
  | 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: 217384981dafab43c2a84b9774edeeb683bdaff3949856b63cda6c5ec99522fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9b6f41c296e4942a4d5c70a9b6e55642c0780538fa1c81e70a167a4b278dad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-20T16:07:39Z",
    "title_canon_sha256": "307fd0e2bea89b7007fd3dfd891a832598f6046e094691235c98225c6a63efd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10084",
    "kind": "arxiv",
    "version": 2
  }
}