Pith Number

pith:ZASP32P3

pith:2012:ZASP32P3GHYLSBWHA4HR57MCPB

not attested not anchored not stored refs pending

Orthogonal polynomials on the unity circle with Fibonacci Verblunsky coefficients, I. The essential support of the measure

David Damanik, Paul Munger, William Yessen

arxiv:1208.0652 v1 · 2012-08-03 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZASP32P3GHYLSBWHA4HR57MCPB}

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	2026-05-18T02:26:39.577998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c824fde9fb31f0b906c7070f1efd82787307891936b583f6e7e72ac8857e89fb

Aliases

arxiv: 1208.0652 · arxiv_version: 1208.0652v1 · doi: 10.48550/arxiv.1208.0652 · pith_short_12: ZASP32P3GHYL · pith_short_16: ZASP32P3GHYLSBWH · pith_short_8: ZASP32P3

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/ZASP32P3GHYLSBWHA4HR57MCPB \
  | 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: c824fde9fb31f0b906c7070f1efd82787307891936b583f6e7e72ac8857e89fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa38d6a2507684b546a573a1ed329645f1458745e7b6ba2bab62007cd5de1ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-03T04:22:09Z",
    "title_canon_sha256": "e21f0b9a73c28e1e17ce49f07ad345b35f5dc4d4ff421f42ce21836f41d7b3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0652",
    "kind": "arxiv",
    "version": 1
  }
}