Pith Number

pith:VF3CJGQ2

pith:2005:VF3CJGQ2G2I3LYZPMDDQRM5LA4

not attested not anchored not stored refs pending

Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem

A. Volberg, F. Peherstorfer, P. Yuditskii

arxiv:math/0508544 v1 · 2005-08-27 · math.FA · 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{VF3CJGQ2G2I3LYZPMDDQRM5LA4}

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	2026-05-18T01:05:23.226687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a976249a1a3691b5e32f60c708b3ab073f16d247ae62935efab749c6cc5b37b7

Aliases

arxiv: math/0508544 · arxiv_version: math/0508544v1 · doi: 10.48550/arxiv.math/0508544 · pith_short_12: VF3CJGQ2G2I3 · pith_short_16: VF3CJGQ2G2I3LYZP · pith_short_8: VF3CJGQ2

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/VF3CJGQ2G2I3LYZPMDDQRM5LA4 \
  | 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: a976249a1a3691b5e32f60c708b3ab073f16d247ae62935efab749c6cc5b37b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca098e954fe69e828e2cfec9dfb3ebcc1f1b57cab0d86e573992b7843df0a18",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-08-27T10:20:36Z",
    "title_canon_sha256": "fe4b41007302d0468a0c65023b6d2224acf8aa16b2f95ce29cb042c9a71fe6eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508544",
    "kind": "arxiv",
    "version": 1
  }
}