Pith Number

pith:JB3JHZLO

pith:2010:JB3JHZLOFXAP5DKARFIHHDYALG

not attested not anchored not stored refs pending

An analogue of the Harer-Zagier formula for unicellular maps on general surfaces

Olivier Bernardi (MIT)

arxiv:1011.2311 v2 · 2010-11-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JB3JHZLOFXAP5DKARFIHHDYALG}

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.

Receipt and verification

First computed	2026-05-18T04:00:16.082170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487693e56e2dc0fe8d408950738f0059bbbe3db342984829764c7e7d2f778b08

Aliases

arxiv: 1011.2311 · arxiv_version: 1011.2311v2 · doi: 10.48550/arxiv.1011.2311 · pith_short_12: JB3JHZLOFXAP · pith_short_16: JB3JHZLOFXAP5DKA · pith_short_8: JB3JHZLO

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/JB3JHZLOFXAP5DKARFIHHDYALG \
  | 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: 487693e56e2dc0fe8d408950738f0059bbbe3db342984829764c7e7d2f778b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20867169df22f09e12c5abc2b19d201c14a649ff432ba4f02c0bdb96dbac900f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-10T08:35:10Z",
    "title_canon_sha256": "f1c3b5e349eb0945d3b2a5cc99bb84707afe9f7039253acc5ba1ce1f884ebf59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2311",
    "kind": "arxiv",
    "version": 2
  }
}