Pith Number

pith:BJSN4W2Q

pith:2012:BJSN4W2Q7DEOXRNSQTMC45I4U5

not attested not anchored not stored refs pending

Hankel determinants of sums of consecutive weighted Schr\"{o}der numbers

Pei-Lan Yen, Sen-Peng Eu, Tsai-Lien Wong

arxiv:1202.1616 v1 · 2012-02-08 · 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{BJSN4W2Q7DEOXRNSQTMC45I4U5}

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	2026-05-18T04:02:51.825034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a64de5b50f8c8ebc5b284d82e751ca7675268f9ac334eb37bb37f4be051b70a

Aliases

arxiv: 1202.1616 · arxiv_version: 1202.1616v1 · doi: 10.48550/arxiv.1202.1616 · pith_short_12: BJSN4W2Q7DEO · pith_short_16: BJSN4W2Q7DEOXRNS · pith_short_8: BJSN4W2Q

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/BJSN4W2Q7DEOXRNSQTMC45I4U5 \
  | 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: 0a64de5b50f8c8ebc5b284d82e751ca7675268f9ac334eb37bb37f4be051b70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0909c2f6dceadfcee692e64da61d0e077437d5f79d91b24911672d2e9444c5e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-08T07:49:04Z",
    "title_canon_sha256": "8b20400c8d5d6a1248d3da22ce179012d6e569cdbc1e639be0387c003952f8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1616",
    "kind": "arxiv",
    "version": 1
  }
}