Pith Number

pith:PGCJ7QXA

pith:2015:PGCJ7QXAZG5QTERJLYKUFFGTPF

not attested not anchored not stored refs pending

Dualization in Lattices Given by Ordered Sets of Irreducibles

Mikhail A. Babin, Sergei O. Kuznetsov

arxiv:1504.01145 v2 · 2015-04-05 · cs.LO · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGCJ7QXAZG5QTERJLYKUFFGTPF}

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	2026-05-18T01:23:38.387618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79849fc2e0c9bb0992295e154294d3797393ec3a92905416bf9f08d740cec9ac

Aliases

arxiv: 1504.01145 · arxiv_version: 1504.01145v2 · doi: 10.48550/arxiv.1504.01145 · pith_short_12: PGCJ7QXAZG5Q · pith_short_16: PGCJ7QXAZG5QTERJ · pith_short_8: PGCJ7QXA

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/PGCJ7QXAZG5QTERJLYKUFFGTPF \
  | 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: 79849fc2e0c9bb0992295e154294d3797393ec3a92905416bf9f08d740cec9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239cefb48502a80deb8fcfe834c7e947268b9284a20ed580e5c0ecb21b73eae6",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-04-05T18:23:50Z",
    "title_canon_sha256": "9b4be005b7b80f23e50a1e7b39f741b0526a19a33fad7a6a13034d9afc5e1830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01145",
    "kind": "arxiv",
    "version": 2
  }
}