Pith Number

pith:O3CULJVR

pith:2012:O3CULJVRM7LUAIC56HUVIT5GHA

not attested not anchored not stored refs pending

On the Tutte-Krushkal-Renardy polynomial for cell complexes

Bradley Burdick, Carlos Bajo, Sergei Chmutov

arxiv:1204.3563 v4 · 2012-04-16 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3CULJVRM7LUAIC56HUVIT5GHA}

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	2026-05-18T03:04:38.548445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c545a6b167d740205df1e9544fa6380b95886ceab037e6ac4ef55c23676762

Aliases

arxiv: 1204.3563 · arxiv_version: 1204.3563v4 · doi: 10.48550/arxiv.1204.3563 · pith_short_12: O3CULJVRM7LU · pith_short_16: O3CULJVRM7LUAIC5 · pith_short_8: O3CULJVR

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/O3CULJVRM7LUAIC56HUVIT5GHA \
  | 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: 76c545a6b167d740205df1e9544fa6380b95886ceab037e6ac4ef55c23676762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f9e36100055ae190ebe9ce2b3cccd6d30d7108633cb1e3f57b6b45b36f2721",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-16T16:37:39Z",
    "title_canon_sha256": "ad1b3f0c69511c6ed1cabfcba9ae2f84b27d7e42aee8be798768af81f937408c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3563",
    "kind": "arxiv",
    "version": 4
  }
}