Pith Number

pith:V2CJPRR4

pith:2016:V2CJPRR4FZLPZP754ZUHQVAO6V

not attested not anchored not stored refs pending

Szeg\H{o}-type asymptotics for ray sequences of Frobenius-Pad\'e approximants

Alexander I. Aptekarev, Alexey I. Bogolubsky, Maxim L. Yattselev

arxiv:1605.09672 v1 · 2016-05-31 · 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{V2CJPRR4FZLPZP754ZUHQVAO6V}

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	2026-05-18T00:42:44.405274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8497c63c2e56fcbffde66878540ef5589da234afd323ca6c394e9e7aa4d585

Aliases

arxiv: 1605.09672 · arxiv_version: 1605.09672v1 · doi: 10.48550/arxiv.1605.09672 · pith_short_12: V2CJPRR4FZLP · pith_short_16: V2CJPRR4FZLPZP75 · pith_short_8: V2CJPRR4

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/V2CJPRR4FZLPZP754ZUHQVAO6V \
  | 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: ae8497c63c2e56fcbffde66878540ef5589da234afd323ca6c394e9e7aa4d585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5462ec862f518101e898df7def7f08b3ae690a532a52d89e46c5c45013c74bca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-31T15:26:48Z",
    "title_canon_sha256": "0d95c3bae7ce4bf3bce85a60b875979a49629d88b1a7c85fbf158c88371c8daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09672",
    "kind": "arxiv",
    "version": 1
  }
}