Pith Number

pith:BOE6IJPK

pith:2010:BOE6IJPK57LOSYD52GV7DMN4WR

not attested not anchored not stored refs pending

Border Algorithms for Computing Hasse Diagrams of Arbitrary Lattices

Cristina T\^irn\u{a}uc\u{a}, Jos\'e L. Balc\'azar

arxiv:1012.0742 v1 · 2010-12-03 · cs.AI · cs.LG · math.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{BOE6IJPK57LOSYD52GV7DMN4WR}

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	2026-05-18T04:34:09.532366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b89e425eaefd6e9607dd1abf1b1bcb4439721a0395dce8e1be0a96fbae9207d

Aliases

arxiv: 1012.0742 · arxiv_version: 1012.0742v1 · doi: 10.48550/arxiv.1012.0742 · pith_short_12: BOE6IJPK57LO · pith_short_16: BOE6IJPK57LOSYD5 · pith_short_8: BOE6IJPK

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/BOE6IJPK57LOSYD52GV7DMN4WR \
  | 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: 0b89e425eaefd6e9607dd1abf1b1bcb4439721a0395dce8e1be0a96fbae9207d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2af0d50781743c3443017d55f7817780f836a2bc8117bbc414dec0b38d53e4c",
    "cross_cats_sorted": [
      "cs.LG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2010-12-03T13:57:32Z",
    "title_canon_sha256": "e20a9a73f8e827258338697f14db8ef2859a3e23fc156bc662b9c5ffb7a9e445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0742",
    "kind": "arxiv",
    "version": 1
  }
}