Pith Number

pith:QQOYL3S3

pith:2012:QQOYL3S3IJQCZEEFVVUFJLSQFB

not attested not anchored not stored refs pending

On sets of numbers rationally represented in a rational base number system

Jacques Sakarovitch, Victor Marsault

arxiv:1208.5412 v2 · 2012-08-27 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQOYL3S3IJQCZEEFVVUFJLSQFB}

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	2026-05-18T03:11:33.576667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841d85ee5b42602c9085ad6854ae50286983376f110ec30a25b919fccd688664

Aliases

arxiv: 1208.5412 · arxiv_version: 1208.5412v2 · doi: 10.48550/arxiv.1208.5412 · pith_short_12: QQOYL3S3IJQC · pith_short_16: QQOYL3S3IJQCZEEF · pith_short_8: QQOYL3S3

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/QQOYL3S3IJQCZEEFVVUFJLSQFB \
  | 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: 841d85ee5b42602c9085ad6854ae50286983376f110ec30a25b919fccd688664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88767867bb124e8d47f0ab4b43b5785881afd6b2cc036e0ed1b614a82bb4178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-08-27T14:49:45Z",
    "title_canon_sha256": "4ee72056425c04540ed4151b52644993c33b643c41f95be242081c4d156b925e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5412",
    "kind": "arxiv",
    "version": 2
  }
}