Pith Number

pith:NR3ADCTK

pith:2013:NR3ADCTKQHG5CAYX2WKQIXB5PI

not attested not anchored not stored refs pending

A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula

A. Sri Ranga, Daniel Veronese, Kenier Castillo, Marisa Costa

arxiv:1309.0995 v1 · 2013-09-04 · 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{NR3ADCTKQHG5CAYX2WKQIXB5PI}

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	2026-05-18T01:29:29.878960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c76018a6a81cdd10317d595045c3d7a0b3cc6da9388a39125f39572ec5cf5f5

Aliases

arxiv: 1309.0995 · arxiv_version: 1309.0995v1 · doi: 10.48550/arxiv.1309.0995 · pith_short_12: NR3ADCTKQHG5 · pith_short_16: NR3ADCTKQHG5CAYX · pith_short_8: NR3ADCTK

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/NR3ADCTKQHG5CAYX2WKQIXB5PI \
  | 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: 6c76018a6a81cdd10317d595045c3d7a0b3cc6da9388a39125f39572ec5cf5f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d329b36954587747803db08f90c928125f1171fed1da401dd83bcaa4950118f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-04T12:08:07Z",
    "title_canon_sha256": "f22b267491c2ab36669387cdfee2a6bce9189ee1dc631abc77e4b8e36f51d5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0995",
    "kind": "arxiv",
    "version": 1
  }
}