Pith Number

pith:ELRZUKN6

pith:2011:ELRZUKN6ROVKHXUYDQLYBOTIFO

not attested not anchored not stored refs pending

On the Finiteness Problem for Automaton (Semi)groups

Ali Akhavi, Ines Klimann, Jean Mairesse, Matthieu Picantin, Sylvain Lombardy

arxiv:1105.4725 v1 · 2011-05-24 · cs.FL · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELRZUKN6ROVKHXUYDQLYBOTIFO}

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	2026-05-18T03:36:48.298175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e39a29be8baaa3de981c1780ba682b9a10369012daced273a5e1587b46e8ce

Aliases

arxiv: 1105.4725 · arxiv_version: 1105.4725v1 · doi: 10.48550/arxiv.1105.4725 · pith_short_12: ELRZUKN6ROVK · pith_short_16: ELRZUKN6ROVKHXUY · pith_short_8: ELRZUKN6

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/ELRZUKN6ROVKHXUYDQLYBOTIFO \
  | 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: 22e39a29be8baaa3de981c1780ba682b9a10369012daced273a5e1587b46e8ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21398405219cef2ea5cae54ce251f50fe01e3d6c6a5ab5e47fa58c55f0e015a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-05-24T10:27:40Z",
    "title_canon_sha256": "b26c2ce9ae33b01a946a0ba51474ab3a2763075bfb64571edba77bf3f0dd6852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4725",
    "kind": "arxiv",
    "version": 1
  }
}