Pith Number

pith:Q43JDBXE

pith:2018:Q43JDBXESTURZBQFDQ63SWWSFV

not attested not anchored not stored refs pending

Volterra chain and Catalan numbers

A.B. Shabat, V.E. Adler

arxiv:1810.13198 v1 · 2018-10-31 · nlin.SI · 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{Q43JDBXESTURZBQFDQ63SWWSFV}

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	2026-05-17T23:49:59.549019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87369186e494e91c86051c3db95ad22d41f5e78f150fc087fed8ae123049b498

Aliases

arxiv: 1810.13198 · arxiv_version: 1810.13198v1 · doi: 10.48550/arxiv.1810.13198 · pith_short_12: Q43JDBXESTUR · pith_short_16: Q43JDBXESTURZBQF · pith_short_8: Q43JDBXE

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/Q43JDBXESTURZBQFDQ63SWWSFV \
  | 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: 87369186e494e91c86051c3db95ad22d41f5e78f150fc087fed8ae123049b498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7250148ef4e4744a3521b7a086bcca83e423a45d0a00a1a60d8747a6ebf4ed00",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2018-10-31T10:24:35Z",
    "title_canon_sha256": "63dc6028a09c241b19dee78dbbcf624a94eec36843701ff15e589484c86b9343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13198",
    "kind": "arxiv",
    "version": 1
  }
}