Pith Number

pith:AVRB3RZE

pith:2019:AVRB3RZED3G47SQ4L4ZUTIWJIW

not attested not anchored not stored refs pending

Context-free word problem semigroups

Alan J. Cain, Markus Pfeiffer, Tara Brough

arxiv:1903.10493 v1 · 2019-03-25 · 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{AVRB3RZED3G47SQ4L4ZUTIWJIW}

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	2026-05-17T23:50:29.270101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05621dc7241ecdcfca1c5f3349a2c9458f386e6acad43bebcd8f1d44c60c688f

Aliases

arxiv: 1903.10493 · arxiv_version: 1903.10493v1 · doi: 10.48550/arxiv.1903.10493 · pith_short_12: AVRB3RZED3G4 · pith_short_16: AVRB3RZED3G47SQ4 · pith_short_8: AVRB3RZE

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/AVRB3RZED3G47SQ4L4ZUTIWJIW \
  | 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: 05621dc7241ecdcfca1c5f3349a2c9458f386e6acad43bebcd8f1d44c60c688f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b7d221064966af01628c3f4d83f0aca0f242360775a051ed730ff92547645d",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-25T17:51:05Z",
    "title_canon_sha256": "7b53416f5e2925f1716754b325f0ccc93202d641b463fcad1cae9532b00d65ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10493",
    "kind": "arxiv",
    "version": 1
  }
}