Pith Number

pith:Z7BPGLFD

pith:2005:Z7BPGLFDDTFRO5EPLEQJX74ZNT

not attested not anchored not stored refs pending

F-quasigroups and generalized modules

J. D. Phillips, Michael Kinyon, Tom\'a\v{s} Kepka

arxiv:math/0512244 v1 · 2005-12-12 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7BPGLFDDTFRO5EPLEQJX74ZNT}

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	2026-05-18T01:08:50.711579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc2f32ca31ccb17748f59209bff996cd184cfdedf571d7db4d8dfba8891440d

Aliases

arxiv: math/0512244 · arxiv_version: math/0512244v1 · doi: 10.48550/arxiv.math/0512244 · pith_short_12: Z7BPGLFDDTFR · pith_short_16: Z7BPGLFDDTFRO5EP · pith_short_8: Z7BPGLFD

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/Z7BPGLFDDTFRO5EPLEQJX74ZNT \
  | 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: cfc2f32ca31ccb17748f59209bff996cd184cfdedf571d7db4d8dfba8891440d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4fbadd8c91553055f5cee3386f8004972afef8013ff49f2b5fc46ee8eb8378f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-12-12T17:31:31Z",
    "title_canon_sha256": "02aa22d3f90aad6443d9fe23adf2f87511dc4b9c45fa41d22ed6bd1d19503ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512244",
    "kind": "arxiv",
    "version": 1
  }
}