Pith Number

pith:S6XGWTMW

pith:2017:S6XGWTMWK5VLJQINJUUIES7VQC

not attested not anchored not stored refs pending

Structure and asymptotics for Catalan numbers modulo primes using automata

Rob Burns

arxiv:1701.02975 v1 · 2017-01-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6XGWTMWK5VLJQINJUUIES7VQC}

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	2026-05-18T00:52:59.668575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ae6b4d96576ab4c10d4d28824bf5809f81a2edb30a9eef911844e40515f3e0

Aliases

arxiv: 1701.02975 · arxiv_version: 1701.02975v1 · doi: 10.48550/arxiv.1701.02975 · pith_short_12: S6XGWTMWK5VL · pith_short_16: S6XGWTMWK5VLJQIN · pith_short_8: S6XGWTMW

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/S6XGWTMWK5VLJQINJUUIES7VQC \
  | 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: 97ae6b4d96576ab4c10d4d28824bf5809f81a2edb30a9eef911844e40515f3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd2ca9cb8291224ca0397642c16a9a860a714c495e4c772c952d538c273e1f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-11T14:03:43Z",
    "title_canon_sha256": "c2c7a9dd67f960b29c9b8f8fc625ecbbdb754e2048d45757641501f264290800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02975",
    "kind": "arxiv",
    "version": 1
  }
}