Pith Number

pith:GCL75VHJ

pith:2013:GCL75VHJY7ISXSC7FSUNXUM6QX

not attested not anchored not stored refs pending

The radius of convexity of normalized Bessel functions of the first kind

\'Arp\'ad Baricz, R\'obert Sz\'asz

arxiv:1302.4222 v3 · 2013-02-18 · 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{GCL75VHJY7ISXSC7FSUNXUM6QX}

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	2026-05-18T02:42:29.108263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3097fed4e9c7d12bc85f2ca8dbd19e85f2a2ebc7b0c0c69d7b945ccd6d45a6a0

Aliases

arxiv: 1302.4222 · arxiv_version: 1302.4222v3 · doi: 10.48550/arxiv.1302.4222 · pith_short_12: GCL75VHJY7IS · pith_short_16: GCL75VHJY7ISXSC7 · pith_short_8: GCL75VHJ

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/GCL75VHJY7ISXSC7FSUNXUM6QX \
  | 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: 3097fed4e9c7d12bc85f2ca8dbd19e85f2a2ebc7b0c0c69d7b945ccd6d45a6a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110b945a5bf4397b276834b53e42005fefc2bf2bf4254e3610cabe71f469487b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-18T10:58:06Z",
    "title_canon_sha256": "62025347244322278d647f7073dd80396468ffe98a2c9bd2ead73b2e1a5ab32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4222",
    "kind": "arxiv",
    "version": 3
  }
}