Pith Number

pith:2ETJDOUW

pith:2014:2ETJDOUWN3QUMUW2IZGXRETQJE

not attested not anchored not stored refs pending

Van der Corput inequalities for Bessel functions

Andrea Laforgia, \'Arp\'ad Baricz, Tibor K. Pog\'any

arxiv:1401.7764 v2 · 2014-01-30 · 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{2ETJDOUWN3QUMUW2IZGXRETQJE}

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	2026-05-18T02:28:40.759014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12691ba966ee14652da464d78927049033c53c06c710567faab137cc72142c4

Aliases

arxiv: 1401.7764 · arxiv_version: 1401.7764v2 · doi: 10.48550/arxiv.1401.7764 · pith_short_12: 2ETJDOUWN3QU · pith_short_16: 2ETJDOUWN3QUMUW2 · pith_short_8: 2ETJDOUW

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/2ETJDOUWN3QUMUW2IZGXRETQJE \
  | 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: d12691ba966ee14652da464d78927049033c53c06c710567faab137cc72142c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f5f64c44cde336102f8ca6b42e61d11a5b5331ada74c27bcadb770c9c068eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-30T08:56:56Z",
    "title_canon_sha256": "665a7525ad3fc992bb581f388f60020a3f5d4363d4a50e807f9c65c02e24af3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7764",
    "kind": "arxiv",
    "version": 2
  }
}