Pith Number

pith:7EDGPPXS

pith:2010:7EDGPPXSBE6IM7QUAYSREAPQLR

not attested not anchored not stored refs pending

A q-analogue of Catalan Hankel determinants

Hiroyuki Tagawa, Jiang Zeng, Masao Ishikawa

arxiv:1009.2004 v2 · 2010-09-10 · 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{7EDGPPXSBE6IM7QUAYSREAPQLR}

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	2026-05-18T04:39:27.554620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90667bef2093c867e1406251201f05c7d10d1d63c31330c5da12932281b4e0b

Aliases

arxiv: 1009.2004 · arxiv_version: 1009.2004v2 · doi: 10.48550/arxiv.1009.2004 · pith_short_12: 7EDGPPXSBE6I · pith_short_16: 7EDGPPXSBE6IM7QU · pith_short_8: 7EDGPPXS

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/7EDGPPXSBE6IM7QUAYSREAPQLR \
  | 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: f90667bef2093c867e1406251201f05c7d10d1d63c31330c5da12932281b4e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8847acaf328c4e40f81418a1bf554e6f375e332c17404c9375920acd86ddbd7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-10T12:59:20Z",
    "title_canon_sha256": "87c10c29bbd1b087767bd32a422c9169705e5f5105e9bf9d3233711bfe585d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2004",
    "kind": "arxiv",
    "version": 2
  }
}