Pith Number

pith:THDSNZQV

pith:2015:THDSNZQVG2KAG2VM7VNH336GDF

not attested not anchored not stored refs pending

On One-Parameter Catalan Arrays

\^Angela Mestre, Jos\'e Agapito, Maria M. Torres, Pasquale Petrullo

arxiv:1505.05568 v1 · 2015-05-21 · 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{THDSNZQVG2KAG2VM7VNH336GDF}

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	2026-05-18T02:03:54.170020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c726e6153694036aacfd5a7defc6196c01eff6cb59bbed8b8200f396930a9e

Aliases

arxiv: 1505.05568 · arxiv_version: 1505.05568v1 · doi: 10.48550/arxiv.1505.05568 · pith_short_12: THDSNZQVG2KA · pith_short_16: THDSNZQVG2KAG2VM · pith_short_8: THDSNZQV

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/THDSNZQVG2KAG2VM7VNH336GDF \
  | 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: 99c726e6153694036aacfd5a7defc6196c01eff6cb59bbed8b8200f396930a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24348bcde28f4f1a7f3b1bc54bd362d1d0745bbad45930fa1f25e568fb519e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-21T01:10:27Z",
    "title_canon_sha256": "d84f652bbad79254ff237dda5c32c2ebca80d251518371b64a9341149bd06c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05568",
    "kind": "arxiv",
    "version": 1
  }
}