Pith Number

pith:7V465BY5

pith:2005:7V465BY5X5HQEE56G5VVWFCDLL

not attested not anchored not stored refs pending

On the number of join-irreducibles in a congruence representation of a finite distributive lattice

Friedrich Wehrung (LMNO), George Gr\"atzer

arxiv:math/0501366 v1 · 2005-01-22 · 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{7V465BY5X5HQEE56G5VVWFCDLL}

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	2026-05-18T01:08:51.428889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd79ee871dbf4f0213be376b5b14435ac3db893550543be791b09a19d07e9e37

Aliases

arxiv: math/0501366 · arxiv_version: math/0501366v1 · doi: 10.48550/arxiv.math/0501366 · pith_short_12: 7V465BY5X5HQ · pith_short_16: 7V465BY5X5HQEE56 · pith_short_8: 7V465BY5

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/7V465BY5X5HQEE56G5VVWFCDLL \
  | 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: fd79ee871dbf4f0213be376b5b14435ac3db893550543be791b09a19d07e9e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce75029196e63801cb26e05e9c6ebed7391d1415a0ed4cb5514a67ce4cb7813",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2005-01-22T07:51:47Z",
    "title_canon_sha256": "2b99c7b111ed76ac26f2eab605d419c13ae06f38b022698f7ca543bf93186b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501366",
    "kind": "arxiv",
    "version": 1
  }
}