Pith Number

pith:BS322ZWB

pith:2012:BS322ZWBVCJ32TE4V7ODPMWRXI

not attested not anchored not stored refs pending

A class of loops categorically isomorphic to Bruck loops of odd order

Mark Greer

arxiv:1206.1356 v2 · 2012-06-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BS322ZWBVCJ32TE4V7ODPMWRXI}

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	2026-05-18T03:34:03.177243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb7ad66c1a893bd4c9cafdc37b2d1ba235cfdc657614111e0b4bfeef19c648c

Aliases

arxiv: 1206.1356 · arxiv_version: 1206.1356v2 · doi: 10.48550/arxiv.1206.1356 · pith_short_12: BS322ZWBVCJ3 · pith_short_16: BS322ZWBVCJ32TE4 · pith_short_8: BS322ZWB

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/BS322ZWBVCJ32TE4V7ODPMWRXI \
  | 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: 0cb7ad66c1a893bd4c9cafdc37b2d1ba235cfdc657614111e0b4bfeef19c648c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e4f8ab7574d6530084b66c7a6f86c04b608836538729594e83fedaf721e2bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-06T21:41:57Z",
    "title_canon_sha256": "6ed7e5dcd30144f8752a59256e39a2b1ad3b58d78da40a5437d76e6198394687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1356",
    "kind": "arxiv",
    "version": 2
  }
}