Pith Number

pith:ACP2PERT

pith:2012:ACP2PERTOEPLDW4KQBQVVEV3SQ

not attested not anchored not stored refs pending

Abelian-by-cyclic Moufang loops

Alexander N. Grishkov, Andrei V. Zavarnitsine

arxiv:1202.3228 v1 · 2012-02-15 · 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{ACP2PERTOEPLDW4KQBQVVEV3SQ}

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	2026-05-18T03:25:44.005018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009fa79233711eb1db8a80615a92bb94394a44f08fdd35258c730835bae6c221

Aliases

arxiv: 1202.3228 · arxiv_version: 1202.3228v1 · doi: 10.48550/arxiv.1202.3228 · pith_short_12: ACP2PERTOEPL · pith_short_16: ACP2PERTOEPLDW4K · pith_short_8: ACP2PERT

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/ACP2PERTOEPLDW4KQBQVVEV3SQ \
  | 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: 009fa79233711eb1db8a80615a92bb94394a44f08fdd35258c730835bae6c221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "449995f0d60c2af4bd269e3e67f18c8f53de282a75e60375086b7d636464bc64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-15T08:15:39Z",
    "title_canon_sha256": "b53c44e3bbc3519d8114a1909b8b9f269fe72733e73ffc8ea42de7d5b3560f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3228",
    "kind": "arxiv",
    "version": 1
  }
}