Pith Number

pith:RO3M2VDX

pith:2018:RO3M2VDXH46WFDKZ3UAMJIPZSZ

not attested not anchored not stored refs pending

The 3x3 lemma in the ${\Sigma}$-Maltsev and ${\Sigma}$-protomodular settings. Applications to monoids and quandles

Andrea Montoli, Dominique Bourn

arxiv:1801.09104 v1 · 2018-01-27 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO3M2VDXH46WFDKZ3UAMJIPZSZ}

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	2026-05-18T00:24:58.605628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb6cd54773f3d628d59dd00c4a1f99662a1d6e4f7d91900127949c79040f9b8

Aliases

arxiv: 1801.09104 · arxiv_version: 1801.09104v1 · doi: 10.48550/arxiv.1801.09104 · pith_short_12: RO3M2VDXH46W · pith_short_16: RO3M2VDXH46WFDKZ · pith_short_8: RO3M2VDX

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/RO3M2VDXH46WFDKZ3UAMJIPZSZ \
  | 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: 8bb6cd54773f3d628d59dd00c4a1f99662a1d6e4f7d91900127949c79040f9b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f198fb752f8cf1d4819c33de0a983f136da1d944d5634a2678ee96d42838c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-01-27T15:38:13Z",
    "title_canon_sha256": "ee1d00643de6d6746426221570bfbd18d74166cd2b1b22fd2c21f797601ae511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09104",
    "kind": "arxiv",
    "version": 1
  }
}