Pith Number

pith:DVMBTDXF

pith:2015:DVMBTDXFLVEMEATEMX2AILPHMG

not attested not anchored not stored refs pending

Congruences for Catalan-Larcombe-French numbers

Xiao-Juan Ji, Zhi-Hong Sun

arxiv:1505.00668 v2 · 2015-05-04 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVMBTDXFLVEMEATEMX2AILPHMG}

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	2026-05-18T01:36:53.667553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d58198ee55d48c2026465f4042de761bfc58bbc2d7992cde21a1ffbe037ed9e

Aliases

arxiv: 1505.00668 · arxiv_version: 1505.00668v2 · doi: 10.48550/arxiv.1505.00668 · pith_short_12: DVMBTDXFLVEM · pith_short_16: DVMBTDXFLVEMEATE · pith_short_8: DVMBTDXF

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/DVMBTDXFLVEMEATEMX2AILPHMG \
  | 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: 1d58198ee55d48c2026465f4042de761bfc58bbc2d7992cde21a1ffbe037ed9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d041a9f35bc28943b1ceaf9bd787fe7214616ba93a134d60f95402897233751d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-04T15:02:27Z",
    "title_canon_sha256": "ea640ad5ef02ae6351f899573f5a47cc0646dc86a76025b412e32d4712ed3913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00668",
    "kind": "arxiv",
    "version": 2
  }
}