Pith Number

pith:B3LKKIYI

pith:2012:B3LKKIYIK7LT2XKO34U6XYLJKN

not attested not anchored not stored refs pending

On the number of permutations with bounded run lengths

Max A. Alekseyev

arxiv:1205.4581 v2 · 2012-05-21 · 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{B3LKKIYIK7LT2XKO34U6XYLJKN}

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	2026-05-18T03:32:57.002455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed6a5230857d73d5d4edf29ebe1695360cdd82bfe5a2b89e243a27cc1d94b3c

Aliases

arxiv: 1205.4581 · arxiv_version: 1205.4581v2 · doi: 10.48550/arxiv.1205.4581 · pith_short_12: B3LKKIYIK7LT · pith_short_16: B3LKKIYIK7LT2XKO · pith_short_8: B3LKKIYI

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/B3LKKIYIK7LT2XKO34U6XYLJKN \
  | 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: 0ed6a5230857d73d5d4edf29ebe1695360cdd82bfe5a2b89e243a27cc1d94b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ac6cde7d23fe0933dd381e7b51f5761b5f057f22bdfe555f54b5a5c3f3bd84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-21T12:26:03Z",
    "title_canon_sha256": "af498d10ebff3fda37c5b2813f2f401d15c49d7fed7cc29648343bf800bb7aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4581",
    "kind": "arxiv",
    "version": 2
  }
}