Pith Number

pith:67RPCG72

pith:2013:67RPCG72RIHDYVMJ5QTNM5P3RL

not attested not anchored not stored refs pending

Universal Axial Algebras and a Theorem of Sakuma

F. Rehren, J. I. Hall, S. Shpectorov

arxiv:1311.0217 v1 · 2013-11-01 · math.RA · math-ph · math.GR · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67RPCG72RIHDYVMJ5QTNM5P3RL}

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	2026-05-18T01:38:54.419243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e2f11bfa8a0e3c5589ec26d675fb8adfcd87f97293294ae989fa6666289f53

Aliases

arxiv: 1311.0217 · arxiv_version: 1311.0217v1 · doi: 10.48550/arxiv.1311.0217 · pith_short_12: 67RPCG72RIHD · pith_short_16: 67RPCG72RIHDYVMJ · pith_short_8: 67RPCG72

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/67RPCG72RIHDYVMJ5QTNM5P3RL \
  | 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: f7e2f11bfa8a0e3c5589ec26d675fb8adfcd87f97293294ae989fa6666289f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775fce7ed39fc6cbe2629dc13d261463d3fabf1867bfc2993eb282bd102eb922",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-01T16:28:09Z",
    "title_canon_sha256": "9019e89fd8c308a5e165a21843e60c5d73e49281e3f59a907297c2d5138b3ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0217",
    "kind": "arxiv",
    "version": 1
  }
}