Pith Number

pith:4AQ4X7SQ

pith:2025:4AQ4X7SQL7A26XSW6AAODSJH5E

not attested not anchored not stored refs pending

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths

Paul Barry

arxiv:2505.16718 v1 · 2025-05-22 · 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{4AQ4X7SQL7A26XSW6AAODSJH5E}

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	2026-07-05T11:07:39.770179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e021cbfe505fc1af5e56f000e1c927e929ff1961caa5c307f039d5d12499336b

Aliases

arxiv: 2505.16718 · arxiv_version: 2505.16718v1 · doi: 10.48550/arxiv.2505.16718 · pith_short_12: 4AQ4X7SQL7A2 · pith_short_16: 4AQ4X7SQL7A26XSW · pith_short_8: 4AQ4X7SQ

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/4AQ4X7SQL7A26XSW6AAODSJH5E \
  | 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: e021cbfe505fc1af5e56f000e1c927e929ff1961caa5c307f039d5d12499336b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca50310ca7ab8d4f116381f28af152ffa82a7abc52e30f97e4b15a55a3937428",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-22T14:25:39Z",
    "title_canon_sha256": "db38f7366b6659c6b57e134c805829f317bce3c6c2edb19edd82bae68ff5ad90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16718",
    "kind": "arxiv",
    "version": 1
  }
}