Pith Number

pith:CNJBNTCJ

pith:2013:CNJBNTCJNELR3XFJGWVTJ3J7CU

not attested not anchored not stored refs pending

Ultimate periodicity of b-recognisable sets : a quasilinear procedure

Jacques Sakarovitch, Victor Marsault

arxiv:1301.2691 v2 · 2013-01-12 · 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{CNJBNTCJNELR3XFJGWVTJ3J7CU}

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	2026-05-18T03:21:23.801725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

135216cc4969171ddca935ab34ed3f1534439f791b28dfb30b01d5e74539e2c3

Aliases

arxiv: 1301.2691 · arxiv_version: 1301.2691v2 · doi: 10.48550/arxiv.1301.2691 · pith_short_12: CNJBNTCJNELR · pith_short_16: CNJBNTCJNELR3XFJ · pith_short_8: CNJBNTCJ

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/CNJBNTCJNELR3XFJGWVTJ3J7CU \
  | 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: 135216cc4969171ddca935ab34ed3f1534439f791b28dfb30b01d5e74539e2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab29ebf884aaa65ead5e28d58ecc3d2f2fe49042baa40cf952a2b523da5bf60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-01-12T15:07:25Z",
    "title_canon_sha256": "a9900308a998366a2c596f1ef2b37a5204a1ac334b2a6bfae7cceb3bfe800123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2691",
    "kind": "arxiv",
    "version": 2
  }
}