Pith Number

pith:L5NNTLKS

pith:2019:L5NNTLKS4UWOERX6FBLJ5LHFF7

not attested not anchored not stored refs pending

Zero Spacings of Paraorthogonal Polynomials on the Unit Circle

Brian Simanek

arxiv:1907.01604 v1 · 2019-07-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5NNTLKS4UWOERX6FBLJ5LHFF7}

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

On the spacing of zeros of paraorthogonal polynomials for singular measures

Receipt and verification

First computed	2026-07-05T03:04:14.947728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5ad9ad52e52ce246fe28569eace52fd7aeaeb15577aabbf57d3563b3feeddd

Aliases

arxiv: 1907.01604 · arxiv_version: 1907.01604v1 · doi: 10.48550/arxiv.1907.01604 · pith_short_12: L5NNTLKS4UWO · pith_short_16: L5NNTLKS4UWOERX6 · pith_short_8: L5NNTLKS

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/L5NNTLKS4UWOERX6FBLJ5LHFF7 \
  | 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: 5f5ad9ad52e52ce246fe28569eace52fd7aeaeb15577aabbf57d3563b3feeddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3822faec5fbe700bc22f99e23d8c6027e02c6dbaf90e2843c082074ccfcfd084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-02T19:50:05Z",
    "title_canon_sha256": "660331067b20920f114f1dd35775a82c4f9c103b0aab95da8d51997081920027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01604",
    "kind": "arxiv",
    "version": 1
  }
}