Pith Number

pith:EGKUDDU2

pith:2011:EGKUDDU2BYLDOEQGWKAQKDNKKV

not attested not anchored not stored refs pending

Limit-Periodic Verblunsky Coefficients for Orthogonal Polynomials on the Unit Circle

Darren C. Ong

arxiv:1112.0988 v3 · 2011-12-05 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGKUDDU2BYLDOEQGWKAQKDNKKV}

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	2026-05-18T04:01:23.709155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2195418e9a0e16371206b281050daa5577e83b60c091c71d6c20274a7df47b47

Aliases

arxiv: 1112.0988 · arxiv_version: 1112.0988v3 · doi: 10.48550/arxiv.1112.0988 · pith_short_12: EGKUDDU2BYLD · pith_short_16: EGKUDDU2BYLDOEQG · pith_short_8: EGKUDDU2

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/EGKUDDU2BYLDOEQGWKAQKDNKKV \
  | 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: 2195418e9a0e16371206b281050daa5577e83b60c091c71d6c20274a7df47b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2285ad3ef0375400a994480c0cfeceb4ac6e0490c9e7ae45f0d2e06d649a2a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-12-05T16:47:48Z",
    "title_canon_sha256": "be2667cdf868af6435471f927f357cc390ddfa67327b1b0cd65e00669c2de6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0988",
    "kind": "arxiv",
    "version": 3
  }
}