Pith Number

pith:KNEN6ELE

pith:2008:KNEN6ELEKWZ4KRQVDKNMMFI2AY

not attested not anchored not stored refs pending

The Lexicographic First Occurrence of a I-II-III pattern

Anant P. Godbole, Brett M. Kindle, Torey Burton

arxiv:0801.1876 v1 · 2008-01-12 · math.PR · 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{KNEN6ELEKWZ4KRQVDKNMMFI2AY}

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	2026-05-18T03:58:05.212779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5348df116455b3c546151a9ac6151a06285ddb1e7ed11e5cbd110c3fd0fb2b8f

Aliases

arxiv: 0801.1876 · arxiv_version: 0801.1876v1 · doi: 10.48550/arxiv.0801.1876 · pith_short_12: KNEN6ELEKWZ4 · pith_short_16: KNEN6ELEKWZ4KRQV · pith_short_8: KNEN6ELE

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/KNEN6ELEKWZ4KRQVDKNMMFI2AY \
  | 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: 5348df116455b3c546151a9ac6151a06285ddb1e7ed11e5cbd110c3fd0fb2b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc21bf425230953218303053c88aed226d1fad44714b9b0cd414dfec085ae2a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2008-01-12T02:40:27Z",
    "title_canon_sha256": "8b85765b78eb1e2ad9e1e0caa3fcce0c27928da16e16b03064a6f126fc61d765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1876",
    "kind": "arxiv",
    "version": 1
  }
}