Pith Number

pith:KIEXJU7K

pith:2019:KIEXJU7KVLOJG45FHRJMNRQNVD

not attested not anchored not stored refs pending

Quasi-automatic semigroups

Benjamin Blanchette, Christian Choffrut, Christophe Reutenauer

arxiv:1906.02842 v2 · 2019-06-06 · math.GR · cs.CC · cs.FL · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIEXJU7KVLOJG45FHRJMNRQNVD}

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	2026-05-17T23:43:42.102754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520974d3eaaadc9373a53c52c6c60da8d951f96b4b2f940ea18461aa9f72b6e8

Aliases

arxiv: 1906.02842 · arxiv_version: 1906.02842v2 · doi: 10.48550/arxiv.1906.02842 · pith_short_12: KIEXJU7KVLOJ · pith_short_16: KIEXJU7KVLOJG45F · pith_short_8: KIEXJU7K

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/KIEXJU7KVLOJG45FHRJMNRQNVD \
  | 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: 520974d3eaaadc9373a53c52c6c60da8d951f96b4b2f940ea18461aa9f72b6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af83498ecdf00829924d71e15cd635d0bb3bddb4458d8c45fd61d409b3f1a6ef",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-06T23:42:34Z",
    "title_canon_sha256": "26a5348407bdf60986cd26a8662a4dd06ba03d2db61ecf1df911a8dc5786a09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02842",
    "kind": "arxiv",
    "version": 2
  }
}