Pith Number

pith:SO57KZCD

pith:2016:SO57KZCDW42NK5JOZEC3I4N6GV

not attested not anchored not stored refs pending

Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences

A. Sri Ranga, Cleonice F. Bracciali, Daniel O. Veronese, Jairo S. Silva

arxiv:1608.08079 v1 · 2016-08-19 · 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{SO57KZCDW42NK5JOZEC3I4N6GV}

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	2026-05-18T01:07:48.749620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93bbf56443b734d5752ec905b471be356aafe28258fd95247e9b0b5aa1522b68

Aliases

arxiv: 1608.08079 · arxiv_version: 1608.08079v1 · doi: 10.48550/arxiv.1608.08079 · pith_short_12: SO57KZCDW42N · pith_short_16: SO57KZCDW42NK5JO · pith_short_8: SO57KZCD

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/SO57KZCDW42NK5JOZEC3I4N6GV \
  | 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: 93bbf56443b734d5752ec905b471be356aafe28258fd95247e9b0b5aa1522b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39832255e91d52f5a78ed38052db83ec36ce79146f3f6757f4cfb63e746d568c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-19T17:50:28Z",
    "title_canon_sha256": "638cf70899916cb7877f0f46c21ce175e77e3d8fa873a4abb1b9266bec7bb121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08079",
    "kind": "arxiv",
    "version": 1
  }
}