Pith Number

pith:FZAOGLCS

pith:2019:FZAOGLCSQIKBPNOCP6LNW3VPNL

not attested not anchored not stored refs pending

On the halves of a Riordan array and their antecedents

Paul Barry

arxiv:1906.06373 v2 · 2019-06-14 · 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{FZAOGLCSQIKBPNOCP6LNW3VPNL}

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	2026-05-17T23:41:57.788461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e40e32c52821417b5c27f96db6eaf6ae382c73cc5b2efe0ae2148cc55938734

Aliases

arxiv: 1906.06373 · arxiv_version: 1906.06373v2 · doi: 10.48550/arxiv.1906.06373 · pith_short_12: FZAOGLCSQIKB · pith_short_16: FZAOGLCSQIKBPNOC · pith_short_8: FZAOGLCS

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/FZAOGLCSQIKBPNOCP6LNW3VPNL \
  | 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: 2e40e32c52821417b5c27f96db6eaf6ae382c73cc5b2efe0ae2148cc55938734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbbbc61e74ae07b282fe7850ac517263aa99caddf521c525d2365f20b561060d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-14T19:16:25Z",
    "title_canon_sha256": "bb4bbc3131676e954c5135c8e799960012f0dbb81b382b2b96c660a06e3bbf43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06373",
    "kind": "arxiv",
    "version": 2
  }
}