Pith Number

pith:4ZNJLHNP

pith:2011:4ZNJLHNPAC4F6TWDC57NEMPLO5

not attested not anchored not stored refs pending

Automatic sets of rational numbers

Eric Rowland, Jeffrey Shallit

arxiv:1110.2382 v4 · 2011-10-11 · cs.FL · cs.DM · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZNJLHNPAC4F6TWDC57NEMPLO5}

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	2026-05-18T01:34:31.063326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65a959daf00b85f4ec3177ed231eb775339148fef8c536bbeb4e6b20ef18a86

Aliases

arxiv: 1110.2382 · arxiv_version: 1110.2382v4 · doi: 10.48550/arxiv.1110.2382 · pith_short_12: 4ZNJLHNPAC4F · pith_short_16: 4ZNJLHNPAC4F6TWD · pith_short_8: 4ZNJLHNP

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/4ZNJLHNPAC4F6TWDC57NEMPLO5 \
  | 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: e65a959daf00b85f4ec3177ed231eb775339148fef8c536bbeb4e6b20ef18a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7404443a657a1bd3e58d26c8ec18b8ace9836b4017fb9defb56a9b0d201c2010",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-10-11T14:07:38Z",
    "title_canon_sha256": "390b5e383e8d80dec19d4efaf00fd246c5ed876da61cfcbc4ffa88da2c764580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2382",
    "kind": "arxiv",
    "version": 4
  }
}