Pith Number

pith:JPX24AJJ

pith:2016:JPX24AJJBAW5LQF46BOFWZZSF2

not attested not anchored not stored refs pending

Lie's correspondence for commutative automorphic formal loops

A. Grishkov, J. M. P\'erez-Izquierdo

arxiv:1612.03624 v1 · 2016-12-12 · 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{JPX24AJJBAW5LQF46BOFWZZSF2}

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	2026-05-18T00:55:18.753690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544

Aliases

arxiv: 1612.03624 · arxiv_version: 1612.03624v1 · doi: 10.48550/arxiv.1612.03624 · pith_short_12: JPX24AJJBAW5 · pith_short_16: JPX24AJJBAW5LQF4 · pith_short_8: JPX24AJJ

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/JPX24AJJBAW5LQF46BOFWZZSF2 \
  | 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: 4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8132b5bcd707a19115e02e95790d50a7e1f6e0a40ed113c237f3129f830007b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-12T11:29:24Z",
    "title_canon_sha256": "0bb377142a97cae5d67048f75efb588ab7d83810c76549e310d0e7b11b8de0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03624",
    "kind": "arxiv",
    "version": 1
  }
}