Pith Number

pith:Y4YKBBTM

pith:2013:Y4YKBBTMAQ3LLQEJ5M7FQJWWEI

not attested not anchored not stored refs pending

On lacunary Toeplitz determinants

K. K. Kozlowski

arxiv:1310.2584 v1 · 2013-10-09 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4YKBBTMAQ3LLQEJ5M7FQJWWEI}

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.

Cited by

1 paper in Pith

A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors

Receipt and verification

First computed	2026-05-18T03:10:56.266605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c730a0866c0436b5c089eb3e5826d62218c4b517bcb6e0a943acced069787c59

Aliases

arxiv: 1310.2584 · arxiv_version: 1310.2584v1 · doi: 10.48550/arxiv.1310.2584 · pith_short_12: Y4YKBBTMAQ3L · pith_short_16: Y4YKBBTMAQ3LLQEJ · pith_short_8: Y4YKBBTM

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/Y4YKBBTMAQ3LLQEJ5M7FQJWWEI \
  | 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: c730a0866c0436b5c089eb3e5826d62218c4b517bcb6e0a943acced069787c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0382ac990f8a40a99bb4f287e884001d61c148f7b4432f86c21d61bbfbfb9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-09T19:01:30Z",
    "title_canon_sha256": "3dfc187059c6e60341985a61b1bd3d5b6ab32b63ecb8fad25a5094d69cb07b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2584",
    "kind": "arxiv",
    "version": 1
  }
}