Pith Number

pith:H7U4N36D

pith:2018:H7U4N36DQHAFB734KZOKLZAUXZ

not attested not anchored not stored refs pending

Descent distribution on Catalan words avoiding a pattern of length at most three

Jean-Luc Baril, Sergey Kirgizov, Vincent Vajnovszki

arxiv:1803.06706 v1 · 2018-03-18 · 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{H7U4N36DQHAFB734KZOKLZAUXZ}

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	2026-05-18T00:20:45.213475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe9c6efc381c050ff7c565ca5e414be694d73f5683ee887a02b097894a65f6c

Aliases

arxiv: 1803.06706 · arxiv_version: 1803.06706v1 · doi: 10.48550/arxiv.1803.06706 · pith_short_12: H7U4N36DQHAF · pith_short_16: H7U4N36DQHAFB734 · pith_short_8: H7U4N36D

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/H7U4N36DQHAFB734KZOKLZAUXZ \
  | 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: 3fe9c6efc381c050ff7c565ca5e414be694d73f5683ee887a02b097894a65f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e1cbeca5a4d6b98d0f01eaf650a9c1bb70cf79ffb407e1ca0e465d358922b4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-18T18:08:48Z",
    "title_canon_sha256": "c45ecfe728beff866530bf3991287be2e2c785de7da93a788fec55daf3cd82f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06706",
    "kind": "arxiv",
    "version": 1
  }
}