Pith Number

pith:RUZVYK6K

pith:2025:RUZVYK6K47LQDX4YEEULQYQIVI

not attested not anchored not stored refs pending

Counting fixed-point-free Cayley permutations

Anders Claesson, Giulio Cerbai

arxiv:2507.09304 v4 · 2025-07-12 · 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{RUZVYK6K47LQDX4YEEULQYQIVI}

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	2026-06-03T14:05:17.279056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d335c2bcae7d701df982128b86208aa0e4ae0e081c26422808a902d58a3da20

Aliases

arxiv: 2507.09304 · arxiv_version: 2507.09304v4 · doi: 10.48550/arxiv.2507.09304 · pith_short_12: RUZVYK6K47LQ · pith_short_16: RUZVYK6K47LQDX4Y · pith_short_8: RUZVYK6K

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/RUZVYK6K47LQDX4YEEULQYQIVI \
  | 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: 8d335c2bcae7d701df982128b86208aa0e4ae0e081c26422808a902d58a3da20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a79cf77ffb36ad11f9ca050de76a892a321480ea817f023eb4a314d4a8875fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-12T14:46:18Z",
    "title_canon_sha256": "88ee2a5f4fbc27c211b3f199e508dd82518d24d50b20b69e9bcd0b6c8ff922d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09304",
    "kind": "arxiv",
    "version": 4
  }
}