Pith Number

pith:OT3VVSQD

pith:2013:OT3VVSQDCNQUX65AFKONC7XN2N

not attested not anchored not stored refs pending

Pattern Count on Multiply Restricted Permutations

Alina F. Y. Zhao

arxiv:1302.4063 v1 · 2013-02-17 · 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{OT3VVSQDCNQUX65AFKONC7XN2N}

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	2026-05-18T03:33:24.366508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f75aca0313614bfba02a9cd17eedd363fa1e4f9a540d7f4f1d68e81c7582ca

Aliases

arxiv: 1302.4063 · arxiv_version: 1302.4063v1 · doi: 10.48550/arxiv.1302.4063 · pith_short_12: OT3VVSQDCNQU · pith_short_16: OT3VVSQDCNQUX65A · pith_short_8: OT3VVSQD

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/OT3VVSQDCNQUX65AFKONC7XN2N \
  | 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: 74f75aca0313614bfba02a9cd17eedd363fa1e4f9a540d7f4f1d68e81c7582ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b8a20fb8896a4482f262fbb3779d16d9494c9f2cca50a5d5f81917d155a52c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-17T12:54:01Z",
    "title_canon_sha256": "4876ad958bc9824cca5c3173f5fc426d47f0b9f9be640c8e50d5d845f506295c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4063",
    "kind": "arxiv",
    "version": 1
  }
}