Pith Number

pith:BNMDBBJL

pith:2018:BNMDBBJL7473NP7JXUBOVGSEJZ

not attested not anchored not stored refs pending

Letter graphs and geometric grid classes of permutations: characterization and recognition

Bogdan Alecu, Dominique de Werra, Vadim Lozin, Viktor Zamaraev

arxiv:1804.11217 v1 · 2018-04-27 · math.CO · 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{BNMDBBJL7473NP7JXUBOVGSEJZ}

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	2026-05-18T00:17:14.245664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5830852bff3fb6bfe9bd02ea9a444e5a5f78856080b65fb7a2fea48ca66104

Aliases

arxiv: 1804.11217 · arxiv_version: 1804.11217v1 · doi: 10.48550/arxiv.1804.11217 · pith_short_12: BNMDBBJL7473 · pith_short_16: BNMDBBJL7473NP7J · pith_short_8: BNMDBBJL

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/BNMDBBJL7473NP7JXUBOVGSEJZ \
  | 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: 0b5830852bff3fb6bfe9bd02ea9a444e5a5f78856080b65fb7a2fea48ca66104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd78f51fcd41b7af945477e09663f80846397b781c91b172efebc052836c535",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-27T16:09:29Z",
    "title_canon_sha256": "fac1cf4dc89d4b63ea1cb72cf3c00dd338c9b7529885334175ab9f22bfda288b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11217",
    "kind": "arxiv",
    "version": 1
  }
}