Pith Number

pith:YYMQA3GN

pith:2016:YYMQA3GNQCA53MY5VCOTT2F35P

not attested not anchored not stored refs pending

Linear cellular automata, duality and sofic groups

Laurent Bartholdi

arxiv:1612.06117 v2 · 2016-12-19 · 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{YYMQA3GNQCA53MY5VCOTT2F35P}

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	2026-05-18T00:41:44.412591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c619006ccd8081ddb31da89d39e8bbebdb1550652da97370a227a14060aaf1b1

Aliases

arxiv: 1612.06117 · arxiv_version: 1612.06117v2 · doi: 10.48550/arxiv.1612.06117 · pith_short_12: YYMQA3GNQCA5 · pith_short_16: YYMQA3GNQCA53MY5 · pith_short_8: YYMQA3GN

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/YYMQA3GNQCA53MY5VCOTT2F35P \
  | 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: c619006ccd8081ddb31da89d39e8bbebdb1550652da97370a227a14060aaf1b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b2305d2b37a4467749035a40814ce0210b91d8deb992a92de9a8cc2a614e4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-19T10:48:35Z",
    "title_canon_sha256": "1b49142ad243894e2deef5fa6ea9de1bdc3b35cbe3be879d1328d2181769da8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06117",
    "kind": "arxiv",
    "version": 2
  }
}