Pith Number

pith:UYCOWRUP

pith:2016:UYCOWRUPY34VGBZBQG33SFHTQP

not attested not anchored not stored refs pending

Automaton semigroups: new construction results and examples of non-automaton semigroups

Alan J. Cain, Tara Brough

arxiv:1601.01168 v2 · 2016-01-06 · math.GR · 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{UYCOWRUPY34VGBZBQG33SFHTQP}

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	2026-05-18T00:52:50.591077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a604eb468fc6f953072181b7b914f383e75b1087be12be98cdc0bef68e49a757

Aliases

arxiv: 1601.01168 · arxiv_version: 1601.01168v2 · doi: 10.48550/arxiv.1601.01168 · pith_short_12: UYCOWRUPY34V · pith_short_16: UYCOWRUPY34VGBZB · pith_short_8: UYCOWRUP

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/UYCOWRUPY34VGBZBQG33SFHTQP \
  | 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: a604eb468fc6f953072181b7b914f383e75b1087be12be98cdc0bef68e49a757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a9038b98a8225eedabebadc0b029dbf711a0e8696f5ec43f97ff219ca896795",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-06T13:09:02Z",
    "title_canon_sha256": "16604fa85fc083ad4911bb3ef38e717faaff3f0aab3dfbd7dd8e0637acecc596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01168",
    "kind": "arxiv",
    "version": 2
  }
}