Pith Number

pith:RBY4D3XO

pith:2019:RBY4D3XOUVDC4PDZTBE3T2IGQT

not attested not anchored not stored refs pending

Lie, associative and commutative quasi-isomorphism

Daniel Robert-Nicoud, Dan Petersen, Felix Wierstra, Ricardo Campos

arxiv:1904.03585 v5 · 2019-04-07 · math.RA · math.AT · math.KT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBY4D3XOUVDC4PDZTBE3T2IGQT}

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	2026-07-05T10:30:49.868235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8871c1eeeea5462e3c799849b9e90684e8baa819d56b0942b2bd54ebfbe15fb5

Aliases

arxiv: 1904.03585 · arxiv_version: 1904.03585v5 · doi: 10.48550/arxiv.1904.03585 · pith_short_12: RBY4D3XOUVDC · pith_short_16: RBY4D3XOUVDC4PDZ · pith_short_8: RBY4D3XO

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/RBY4D3XOUVDC4PDZTBE3T2IGQT \
  | 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: 8871c1eeeea5462e3c799849b9e90684e8baa819d56b0942b2bd54ebfbe15fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f60a19365093a02698b12c47a48e454c3e57cf4ded1585a209b364a8a2d2acd",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-04-07T05:22:45Z",
    "title_canon_sha256": "330b091e5c6749c01bd0ed36eed25523ce9c546d8d7d4cfc4d7c59de3fbc8c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03585",
    "kind": "arxiv",
    "version": 5
  }
}