Pith Number

pith:OLP4JULK

pith:2008:OLP4JULKTJP6BMRWVWOND5C5QR

not attested not anchored not stored refs pending

The Structure of Commutative Automorphic Loops

Michael Kinyon, Petr Vojtechovsky, Premysl Jedlicka

arxiv:0810.1065 v3 · 2008-10-06 · 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{OLP4JULKTJP6BMRWVWOND5C5QR}

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	2026-05-18T04:15:17.247372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72dfc4d16a9a5fe0b236ad9cd1f45d84561018580b41339060680926bba430d5

Aliases

arxiv: 0810.1065 · arxiv_version: 0810.1065v3 · doi: 10.48550/arxiv.0810.1065 · pith_short_12: OLP4JULKTJP6 · pith_short_16: OLP4JULKTJP6BMRW · pith_short_8: OLP4JULK

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/OLP4JULKTJP6BMRWVWOND5C5QR \
  | 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: 72dfc4d16a9a5fe0b236ad9cd1f45d84561018580b41339060680926bba430d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febc8f0cc91e3a79d34def95d3c0409704df6b3ecb55204c27974d22e9939968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-10-06T21:11:24Z",
    "title_canon_sha256": "d6bc3398272b3076877ce9424e6c5ad4cc2745697d80c1b8a1ae2421868c8e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1065",
    "kind": "arxiv",
    "version": 3
  }
}