Pith Number

pith:NZAMPGJN

pith:2018:NZAMPGJNJRMI23VNJPZTVA5SCV

not attested not anchored not stored refs pending

Infinite finitely generated automata semigroups have infinite orbits

Dominik Francoeur

arxiv:1801.10009 v1 · 2018-01-30 · 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{NZAMPGJNJRMI23VNJPZTVA5SCV}

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	2026-05-18T00:24:46.158116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e40c7992d4c588d6ead4bf33a83b21565b1cbfa0bc806a5324f34814ef97de3

Aliases

arxiv: 1801.10009 · arxiv_version: 1801.10009v1 · doi: 10.48550/arxiv.1801.10009 · pith_short_12: NZAMPGJNJRMI · pith_short_16: NZAMPGJNJRMI23VN · pith_short_8: NZAMPGJN

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/NZAMPGJNJRMI23VNJPZTVA5SCV \
  | 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: 6e40c7992d4c588d6ead4bf33a83b21565b1cbfa0bc806a5324f34814ef97de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5271ddb13948624853e01148ba7e31a44573b5f8b7b30f9d1b9685472ce0ac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-30T14:31:22Z",
    "title_canon_sha256": "026a3d7361a4e821795da0b02f1e6fca6070455f915e7fa200273ced54fa2b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10009",
    "kind": "arxiv",
    "version": 1
  }
}