Pith Number

pith:5ZXXGF6T

pith:2014:5ZXXGF6T6CLQXCJ3SIP7RI7SXO

not attested not anchored not stored refs pending

Convolutions of Tribonacci, Fuss-Catalan, and Motzkin sequences

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1412.0075 v1 · 2014-11-29 · 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{5ZXXGF6T6CLQXCJ3SIP7RI7SXO}

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	2026-05-18T01:23:38.643751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6f7317d3f0970b893b921ff8a3f2bb9479a815c707966e1e279864c41d0f1e

Aliases

arxiv: 1412.0075 · arxiv_version: 1412.0075v1 · doi: 10.48550/arxiv.1412.0075 · pith_short_12: 5ZXXGF6T6CLQ · pith_short_16: 5ZXXGF6T6CLQXCJ3 · pith_short_8: 5ZXXGF6T

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/5ZXXGF6T6CLQXCJ3SIP7RI7SXO \
  | 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: ee6f7317d3f0970b893b921ff8a3f2bb9479a815c707966e1e279864c41d0f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c988928f4b22f479d17e2e26082a51fb9c3c63104d61355342d1b4a555f9a59a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-29T06:25:22Z",
    "title_canon_sha256": "8a2f09795b66a175032bbe4d4c62e6869eef50f114471a28c8c12f7729b2ae7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0075",
    "kind": "arxiv",
    "version": 1
  }
}