Pith Number

pith:BR54PNAC

pith:2017:BR54PNACUG25AM5TYYLKIP5F55

not attested not anchored not stored refs pending

A universal law for Voronoi cell volumes in infinitely large maps

Emmanuel Guitter

arxiv:1706.08809 v1 · 2017-06-27 · math.CO · math-ph · 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{BR54PNACUG25AM5TYYLKIP5F55}

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	2026-05-18T00:20:56.404646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7bc7b402a1b5d033b3c616a43fa5ef790bf38856bd92d62da1f5a3293fc8cb

Aliases

arxiv: 1706.08809 · arxiv_version: 1706.08809v1 · doi: 10.48550/arxiv.1706.08809 · pith_short_12: BR54PNACUG25 · pith_short_16: BR54PNACUG25AM5T · pith_short_8: BR54PNAC

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/BR54PNACUG25AM5TYYLKIP5F55 \
  | 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: 0c7bc7b402a1b5d033b3c616a43fa5ef790bf38856bd92d62da1f5a3293fc8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6ab3e0b9dafdea8a5370a3043219c729b1151093bac4217218d318fabb0ca3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-27T12:11:08Z",
    "title_canon_sha256": "69d29df2f60d12f5aee5c5b300ff65ee39bfa66cdaec5564ab164f521ef63f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08809",
    "kind": "arxiv",
    "version": 1
  }
}