Pith Number

pith:LDBQTLBZ

pith:2013:LDBQTLBZXL4RGKHQSZVX7L3MYE

not attested not anchored not stored refs pending

The sharp estimates on the orthogonal polynomials from the Steklov class

A. Aptekarev, D. Tulyakov, S. Denisov

arxiv:1308.6614 v1 · 2013-08-29 · 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{LDBQTLBZXL4RGKHQSZVX7L3MYE}

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	2026-05-18T03:14:38.644501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58c309ac39baf91328f0966b7faf6cc1338279525b9beca0b67ea2980ac966cb

Aliases

arxiv: 1308.6614 · arxiv_version: 1308.6614v1 · doi: 10.48550/arxiv.1308.6614 · pith_short_12: LDBQTLBZXL4R · pith_short_16: LDBQTLBZXL4RGKHQ · pith_short_8: LDBQTLBZ

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/LDBQTLBZXL4RGKHQSZVX7L3MYE \
  | 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: 58c309ac39baf91328f0966b7faf6cc1338279525b9beca0b67ea2980ac966cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2b3206374e5e8396b24e89959f00c0d58cc3aabe70404cabeeb0145aa040a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-29T21:32:00Z",
    "title_canon_sha256": "0ded55257862c845137b2946e47a0cab1d502298be7c3258ed03f94407b73ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6614",
    "kind": "arxiv",
    "version": 1
  }
}