Pith Number

pith:4VVR54XV

pith:2011:4VVR54XVBDI3AYRYYENEXJFCZU

not attested not anchored not stored refs pending

Orthogonality relations for bivariate Bernstein-Szeg\H{o} measures

Greg Knese, Jeffrey S. Geronimo, Plamen Iliev

arxiv:1111.5658 v1 · 2011-11-24 · math.CV · math.CA · 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{4VVR54XVBDI3AYRYYENEXJFCZU}

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	2026-05-18T03:45:43.636394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56b1ef2f508d1b06238c11a4ba4a2cd0b333f63fc239d41d1bd5696b8db1939

Aliases

arxiv: 1111.5658 · arxiv_version: 1111.5658v1 · doi: 10.48550/arxiv.1111.5658 · pith_short_12: 4VVR54XVBDI3 · pith_short_16: 4VVR54XVBDI3AYRY · pith_short_8: 4VVR54XV

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/4VVR54XVBDI3AYRYYENEXJFCZU \
  | 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: e56b1ef2f508d1b06238c11a4ba4a2cd0b333f63fc239d41d1bd5696b8db1939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fd80b4c760ef745064c70a2e6b0bd361272da0428f69f9fc114173e4002546",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-11-24T00:35:05Z",
    "title_canon_sha256": "82a4debca3f77f0d534baac698b8394dff2c019462ad12037c577ffb2709ba05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5658",
    "kind": "arxiv",
    "version": 1
  }
}