Pith Number

pith:P5VRL2Z7

pith:2012:P5VRL2Z7VRYYFG2ZWZLKWQWKMD

not attested not anchored not stored refs pending

Subalgebras of FA-presentable algebras

Alan J. Cain, Nik Ru\v{s}kuc

arxiv:1206.5548 v1 · 2012-06-24 · math.LO · 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{P5VRL2Z7VRYYFG2ZWZLKWQWKMD}

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	2026-05-18T01:29:51.721449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6b15eb3fac71829b59b656ab42ca60ef34757b1e0cefeb241b4a29384bf93b

Aliases

arxiv: 1206.5548 · arxiv_version: 1206.5548v1 · doi: 10.48550/arxiv.1206.5548 · pith_short_12: P5VRL2Z7VRYY · pith_short_16: P5VRL2Z7VRYYFG2Z · pith_short_8: P5VRL2Z7

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/P5VRL2Z7VRYYFG2ZWZLKWQWKMD \
  | 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: 7f6b15eb3fac71829b59b656ab42ca60ef34757b1e0cefeb241b4a29384bf93b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e369bf34855fd640b844fb3eed6dbc89f578b0c346eba79c34549369e1ccd115",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-24T22:40:14Z",
    "title_canon_sha256": "743c861d0d1c327507a3c79fcc6f9b58f370f4474b35f097850ca9b6a01a52e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5548",
    "kind": "arxiv",
    "version": 1
  }
}