Pith Number

pith:D7AVDSVU

pith:2015:D7AVDSVUUZFGCCSCT3JXVMNXYN

not attested not anchored not stored refs pending

Ranks of finite semigroups of one-dimensional cellular automata

Alonso Castillo-Ramirez, Maximilien Gadouleau

arxiv:1510.00197 v3 · 2015-10-01 · 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{D7AVDSVUUZFGCCSCT3JXVMNXYN}

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	2026-05-18T00:52:23.776477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc151cab4a64a610a429ed37ab1b7c3523fbb905619056cd5997a0836ddd548

Aliases

arxiv: 1510.00197 · arxiv_version: 1510.00197v3 · doi: 10.48550/arxiv.1510.00197 · pith_short_12: D7AVDSVUUZFG · pith_short_16: D7AVDSVUUZFGCCSC · pith_short_8: D7AVDSVU

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/D7AVDSVUUZFGCCSCT3JXVMNXYN \
  | 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: 1fc151cab4a64a610a429ed37ab1b7c3523fbb905619056cd5997a0836ddd548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c54b01bb8729748bb499f9efbd643755b3f5a439d8753fc9583a3409b7bc48d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-01T12:02:20Z",
    "title_canon_sha256": "2bd6180f84306d7831b76660004bfbc6b7b29600c0acae90225143ca438a75d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00197",
    "kind": "arxiv",
    "version": 3
  }
}