Pith Number

pith:CBBRDAZB

pith:2006:CBBRDAZBBDMLCG5L3YZ3Z7WFRQ

not attested not anchored not stored refs pending

On the frequency of permutations containing a long cycle

Alice C. Niemeyer, Cheryl E. Praeger

arxiv:math/0603554 v1 · 2006-03-23 · math.GR · 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{CBBRDAZBBDMLCG5L3YZ3Z7WFRQ}

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	2026-05-18T02:52:48.060190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104311832108d8b11babde33bcfec58c0d6d86c992e687266c57977933bc241a

Aliases

arxiv: math/0603554 · arxiv_version: math/0603554v1 · doi: 10.48550/arxiv.math/0603554 · pith_short_12: CBBRDAZBBDML · pith_short_16: CBBRDAZBBDMLCG5L · pith_short_8: CBBRDAZB

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/CBBRDAZBBDMLCG5L3YZ3Z7WFRQ \
  | 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: 104311832108d8b11babde33bcfec58c0d6d86c992e687266c57977933bc241a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4150e864d27caf481d284a84441506d82bcd838092515996a8fb2fd1a3337b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-03-23T05:47:18Z",
    "title_canon_sha256": "57aefa8626123834ca0879d511c6738d9f8e602cb83390d630ebfe342fbb89bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603554",
    "kind": "arxiv",
    "version": 1
  }
}