Pith Number

pith:LHUIGSSN

pith:2013:LHUIGSSNUITAGTO7DZ6VRHTKLJ

not attested not anchored not stored refs pending

Congruences of fork extensions of slim semimodular lattices

George Gr\"atzer

arxiv:1307.8404 v9 · 2013-07-31 · 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{LHUIGSSNUITAGTO7DZ6VRHTKLJ}

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	2026-05-18T02:57:26.684765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e8834a4da226034ddf1e7d589e6a5a70ded73287fc7e5572819cf733eb880f

Aliases

arxiv: 1307.8404 · arxiv_version: 1307.8404v9 · doi: 10.48550/arxiv.1307.8404 · pith_short_12: LHUIGSSNUITA · pith_short_16: LHUIGSSNUITAGTO7 · pith_short_8: LHUIGSSN

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/LHUIGSSNUITAGTO7DZ6VRHTKLJ \
  | 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: 59e8834a4da226034ddf1e7d589e6a5a70ded73287fc7e5572819cf733eb880f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f2c105b853a35a1f708463477416e112d445dd079331d21b582cd78598d5ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-31T17:52:41Z",
    "title_canon_sha256": "0d4821444864490818e03d69a4f53d6c999b3c28dac99bfd5ae6a6d94a73d73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8404",
    "kind": "arxiv",
    "version": 9
  }
}