Pith Number

pith:MCMVR4CT

pith:2010:MCMVR4CT2GWTMPJ6FHH3C4VAZV

not attested not anchored not stored refs pending

A bijection for triangulations, quadrangulations, pentagulations, etc

Eric Fusy (LIX), Olivier Bernardi (MIT)

arxiv:1007.1292 v6 · 2010-07-08 · 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{MCMVR4CT2GWTMPJ6FHH3C4VAZV}

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	2026-05-18T03:53:52.568825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609958f053d1ad363d3e29cfb172a0cd7f87dab51efced43102a096fcca2ac72

Aliases

arxiv: 1007.1292 · arxiv_version: 1007.1292v6 · doi: 10.48550/arxiv.1007.1292 · pith_short_12: MCMVR4CT2GWT · pith_short_16: MCMVR4CT2GWTMPJ6 · pith_short_8: MCMVR4CT

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/MCMVR4CT2GWTMPJ6FHH3C4VAZV \
  | 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: 609958f053d1ad363d3e29cfb172a0cd7f87dab51efced43102a096fcca2ac72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bed30a9f73ba026b04d13217c19f2ec2564da6ab1b25ab3b15abb7c3a9ccb9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-08T06:33:43Z",
    "title_canon_sha256": "65740dcad98dec6d4a0372f56af2c6cc9b5b4d8c00ad3e85b5affc61c95f6f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1292",
    "kind": "arxiv",
    "version": 6
  }
}