Pith Number

pith:S67HV3ER

pith:2016:S67HV3ERDU3UJZENFKJ36KG6BM

not attested not anchored not stored refs pending

An Hopf algebra for counting simple cycles

Paul Rochet (LMJL), Pierre-Louis Giscard, Richard Wilson

arxiv:1607.00902 v2 · 2016-07-04 · math.AC · 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{S67HV3ERDU3UJZENFKJ36KG6BM}

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	2026-05-18T00:31:00.451917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97be7aec911d3744e48d2a93bf28de0b2c2a3fd9f7ea79ca2f42d2fbc37c3ac0

Aliases

arxiv: 1607.00902 · arxiv_version: 1607.00902v2 · doi: 10.48550/arxiv.1607.00902 · pith_short_12: S67HV3ERDU3U · pith_short_16: S67HV3ERDU3UJZEN · pith_short_8: S67HV3ER

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/S67HV3ERDU3UJZENFKJ36KG6BM \
  | 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: 97be7aec911d3744e48d2a93bf28de0b2c2a3fd9f7ea79ca2f42d2fbc37c3ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5090337e0a25bd994ceffd61a3a3299c9369f525ea0563fcfed424dce07e0697",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-04T14:30:03Z",
    "title_canon_sha256": "4a922fc6e5cb075c7c549685de9775aab6b0aa450e0bed42389406c2304ecb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00902",
    "kind": "arxiv",
    "version": 2
  }
}