Pith Number

pith:532B27OT

pith:2018:532B27OT3YRZYHLNPXW3XACFNF

not attested not anchored not stored refs pending

On the existence of free subsemigroups in reversible automata semigroups

Dominik Francoeur, Ivan Mitrofanov

arxiv:1811.04679 v1 · 2018-11-12 · 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{532B27OT3YRZYHLNPXW3XACFNF}

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	2026-05-18T00:01:04.373765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef41d7dd3de239c1d6d7dedbb804569458ed841ce84466c200208e4ae2cd32b

Aliases

arxiv: 1811.04679 · arxiv_version: 1811.04679v1 · doi: 10.48550/arxiv.1811.04679 · pith_short_12: 532B27OT3YRZ · pith_short_16: 532B27OT3YRZYHLN · pith_short_8: 532B27OT

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/532B27OT3YRZYHLNPXW3XACFNF \
  | 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: eef41d7dd3de239c1d6d7dedbb804569458ed841ce84466c200208e4ae2cd32b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a28addaaf35281e96a7619a3a550567d16ae1e43ea38eff7e133f1d6c5c2de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-12T11:54:41Z",
    "title_canon_sha256": "099551a38345db3fc437b7cbd90673d0ce4e821449fbd834a95b88ad5fc59ca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04679",
    "kind": "arxiv",
    "version": 1
  }
}