Pith Number

pith:3GQ4XGCZ

pith:2019:3GQ4XGCZCEH3SLSVLIUGPANWJE

not attested not anchored not stored refs pending

Dualization in lattices given by implicational bases

Lhouari Nourine, Oscar Defrain

arxiv:1901.07503 v5 · 2019-01-22 · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GQ4XGCZCEH3SLSVLIUGPANWJE}

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	2026-07-05T00:37:26.801107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a1cb9859110fb92e555a286781b649251ec46793a11fc01034727785aee9ed

Aliases

arxiv: 1901.07503 · arxiv_version: 1901.07503v5 · doi: 10.48550/arxiv.1901.07503 · pith_short_12: 3GQ4XGCZCEH3 · pith_short_16: 3GQ4XGCZCEH3SLSV · pith_short_8: 3GQ4XGCZ

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/3GQ4XGCZCEH3SLSVLIUGPANWJE \
  | 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: d9a1cb9859110fb92e555a286781b649251ec46793a11fc01034727785aee9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d49c0b0df289544f5d1dad0f8eda1efe6656a2faa126a599c142e30e01e93ae",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-01-22T18:26:39Z",
    "title_canon_sha256": "f2bc1715831b821c93fcfbb8f131c64d6ea23e9a7385b3ce0e96d6527dc3dca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07503",
    "kind": "arxiv",
    "version": 5
  }
}