Pith Number

pith:Z7ZIXVZH

pith:2011:Z7ZIXVZHMC3ZKCKXQMXF6QJPW5

not attested not anchored not stored refs pending

Solvability of commutative automorphic loops

Alexandr Grishkov, Gabor Nagy, Michael Kinyon

arxiv:1111.7138 v2 · 2011-11-30 · 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{Z7ZIXVZHMC3ZKCKXQMXF6QJPW5}

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	2026-05-18T03:44:33.799810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff28bd72760b7950957832e5f412fb775a7f580d91ea58b8d493064aeab449c

Aliases

arxiv: 1111.7138 · arxiv_version: 1111.7138v2 · doi: 10.48550/arxiv.1111.7138 · pith_short_12: Z7ZIXVZHMC3Z · pith_short_16: Z7ZIXVZHMC3ZKCKX · pith_short_8: Z7ZIXVZH

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/Z7ZIXVZHMC3ZKCKXQMXF6QJPW5 \
  | 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: cff28bd72760b7950957832e5f412fb775a7f580d91ea58b8d493064aeab449c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea9e043d07d0e6b563d2114331d41f60e7ae33f78a56a9695ed501e5b171b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-30T12:24:27Z",
    "title_canon_sha256": "82bed43f93e0e2b211abe3f7398db58ba78753f76fa6d9d89b3330bc6527130d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7138",
    "kind": "arxiv",
    "version": 2
  }
}