Pith Number

pith:XYIWH3OG

pith:2016:XYIWH3OG2ISVQQZROPTZIZW47R

not attested not anchored not stored refs pending

Hankel-type determinants for some combinatorial sequences

Bao-Xuan Zhu, Zhi-Wei Sun

arxiv:1609.06810 v4 · 2016-09-22 · 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{XYIWH3OG2ISVQQZROPTZIZW47R}

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	2026-05-18T00:09:04.390448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1163edc6d22558433173e79466dcfc4c6b3b1405ed413717f4d1f661360bed

Aliases

arxiv: 1609.06810 · arxiv_version: 1609.06810v4 · doi: 10.48550/arxiv.1609.06810 · pith_short_12: XYIWH3OG2ISV · pith_short_16: XYIWH3OG2ISVQQZR · pith_short_8: XYIWH3OG

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/XYIWH3OG2ISVQQZROPTZIZW47R \
  | 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: be1163edc6d22558433173e79466dcfc4c6b3b1405ed413717f4d1f661360bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc363cec059e8eed2000e87f8ada24e2a10f398932f61eadb93314f678a80ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-22T03:57:57Z",
    "title_canon_sha256": "99544cfa81bdab6a570ceffb03c26d5cd7f7dcbbb54a07dad5fe7b90f3881248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06810",
    "kind": "arxiv",
    "version": 4
  }
}