Pith Number

pith:G52UM7CH

pith:2001:G52UM7CHSFNSUM4IFKINIXFPVM

not attested not anchored not stored refs pending

Tree-like properties of cycle factorizations

Alexander Yong, Ian Goulden

arxiv:math/0106039 v1 · 2001-06-06 · 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{G52UM7CHSFNSUM4IFKINIXFPVM}

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	2026-05-18T01:05:37.729787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3775467c47915b2a33882a90d45cafab2161dc49d6fa565cdd0b712978b85263

Aliases

arxiv: math/0106039 · arxiv_version: math/0106039v1 · doi: 10.48550/arxiv.math/0106039 · pith_short_12: G52UM7CHSFNS · pith_short_16: G52UM7CHSFNSUM4I · pith_short_8: G52UM7CH

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/G52UM7CHSFNSUM4IFKINIXFPVM \
  | 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: 3775467c47915b2a33882a90d45cafab2161dc49d6fa565cdd0b712978b85263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "284e56cb637a820783dbe0583a5fc924209610e11333825ef4a259611f7022a4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-06-06T16:46:37Z",
    "title_canon_sha256": "4b23e958273aa87ee3ab21f445b74cdf614360b5e8a666acc63d92d3ed2ffe8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106039",
    "kind": "arxiv",
    "version": 1
  }
}