Pith Number

pith:SD66NRJO

pith:2014:SD66NRJOSKGQAXD3QLEVOF3RNH

not attested not anchored not stored refs pending

Congruences and trajectories in planar semimodular lattices

George Gr\"atzer

arxiv:1406.0439 v4 · 2014-06-02 · 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{SD66NRJOSKGQAXD3QLEVOF3RNH}

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	2026-05-18T02:40:47.144671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fde6c52e928d005c7b82c957177169f346443e81a3176d7750a90a8fef915f

Aliases

arxiv: 1406.0439 · arxiv_version: 1406.0439v4 · doi: 10.48550/arxiv.1406.0439 · pith_short_12: SD66NRJOSKGQ · pith_short_16: SD66NRJOSKGQAXD3 · pith_short_8: SD66NRJO

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/SD66NRJOSKGQAXD3QLEVOF3RNH \
  | 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: 90fde6c52e928d005c7b82c957177169f346443e81a3176d7750a90a8fef915f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a636440f500323617326f101f7160751fb0f13ab3db4b7d75100a0b93944a52d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-06-02T16:40:59Z",
    "title_canon_sha256": "13febc15de381623a7f3a5c962720785174762f0006d214a57bd466d64518f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0439",
    "kind": "arxiv",
    "version": 4
  }
}