Pith Number

pith:XD647BPM

pith:2015:XD647BPMKJTEZZL5LY2SZRVDZP

not attested not anchored not stored refs pending

The Lattice of Congruences of a Finite Line Frame

Carlos Areces, Daniel Penazzi, Miguel Campercholi, Pedro S\'anchez Terraf

arxiv:1504.01789 v2 · 2015-04-08 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XD647BPMKJTEZZL5LY2SZRVDZP}

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	2026-05-18T00:46:44.143457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fdcf85ec52664ce57d5e352cc6a3cbf7a50d265ea0b28f10eb81512ddf491f

Aliases

arxiv: 1504.01789 · arxiv_version: 1504.01789v2 · doi: 10.48550/arxiv.1504.01789 · pith_short_12: XD647BPMKJTE · pith_short_16: XD647BPMKJTEZZL5 · pith_short_8: XD647BPM

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/XD647BPMKJTEZZL5LY2SZRVDZP \
  | 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: b8fdcf85ec52664ce57d5e352cc6a3cbf7a50d265ea0b28f10eb81512ddf491f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17241666c088366d958ff06e4d19b083386bd6a41ea26eabf525518fa78b77ec",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-08T00:18:00Z",
    "title_canon_sha256": "7ed41f0a9406a3b6c7485255d0b488f6090d4503fe626696f06370b06ee76399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01789",
    "kind": "arxiv",
    "version": 2
  }
}