Pith Number

pith:KWBVPYLQ

pith:2012:KWBVPYLQNWJV3WZKBILTSVVUVU

not attested not anchored not stored refs pending

Bounds for Tur\'anians of modified Bessel functions

\'Arp\'ad Baricz

arxiv:1202.4853 v2 · 2012-02-22 · 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{KWBVPYLQNWJV3WZKBILTSVVUVU}

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	2026-05-18T00:40:24.726154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558357e1706d935ddb2a0a173956b4ad24d5e9f80e3a49e0ab19632934521c8f

Aliases

arxiv: 1202.4853 · arxiv_version: 1202.4853v2 · doi: 10.48550/arxiv.1202.4853 · pith_short_12: KWBVPYLQNWJV · pith_short_16: KWBVPYLQNWJV3WZK · pith_short_8: KWBVPYLQ

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/KWBVPYLQNWJV3WZKBILTSVVUVU \
  | 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: 558357e1706d935ddb2a0a173956b4ad24d5e9f80e3a49e0ab19632934521c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca7fb65769823d04eb96689afecd8038de647bd6efae598abe6d26ebf9f0859f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-22T08:21:43Z",
    "title_canon_sha256": "3fba379f3163f78f39cfb2e1b9a4ab3536a45bdd655edf28be2ce003d4d14f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4853",
    "kind": "arxiv",
    "version": 2
  }
}