Pith Number

pith:UKDFLPV6

pith:2005:UKDFLPV63TYWUIMR7CIAEKGIAP

not attested not anchored not stored refs pending

Proper congruence-preserving extensions of lattices

Friedrich Wehrung (LMNO), George Gr\"atzer

arxiv:math/0501438 v1 · 2005-01-25 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKDFLPV63TYWUIMR7CIAEKGIAP}

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	2026-05-18T01:08:51.364286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28655bebedcf16a2191f8900228c803e59adf1a32595bc1666943e573336705

Aliases

arxiv: math/0501438 · arxiv_version: math/0501438v1 · doi: 10.48550/arxiv.math/0501438 · pith_short_12: UKDFLPV63TYW · pith_short_16: UKDFLPV63TYWUIMR · pith_short_8: UKDFLPV6

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/UKDFLPV63TYWUIMR7CIAEKGIAP \
  | 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: a28655bebedcf16a2191f8900228c803e59adf1a32595bc1666943e573336705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05c54e292a960728b21b669e7c747c734983d8feca89119dd9395bfb8c4c07e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2005-01-25T08:41:38Z",
    "title_canon_sha256": "8bffac00c772cda7c1409cd27ec303850f681c4e3074d71fd6b9183c00219138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501438",
    "kind": "arxiv",
    "version": 1
  }
}