Pith Number

pith:67T4YGSX

pith:2012:67T4YGSXMAF53JO3ZPZS3TILYZ

not attested not anchored not stored refs pending

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

\'Arp\'ad Baricz, P\'al A. Kup\'an, R\'obert Sz\'asz

arxiv:1202.1504 v1 · 2012-02-07 · math.CV · 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{67T4YGSXMAF53JO3ZPZS3TILYZ}

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	2026-05-18T02:53:41.876981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e7cc1a57600bdda5dbcbf32dcd0bc67b165322e898cf3f5dbdcca69dd55f1f

Aliases

arxiv: 1202.1504 · arxiv_version: 1202.1504v1 · doi: 10.48550/arxiv.1202.1504 · pith_short_12: 67T4YGSXMAF5 · pith_short_16: 67T4YGSXMAF53JO3 · pith_short_8: 67T4YGSX

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/67T4YGSXMAF53JO3ZPZS3TILYZ \
  | 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: f7e7cc1a57600bdda5dbcbf32dcd0bc67b165322e898cf3f5dbdcca69dd55f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc7e5075e162fc328674549966557e3071e0bf358d36612448b334093b8bc8d0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-07T19:38:06Z",
    "title_canon_sha256": "d4954bb032768d3de2847d81938713bff19b421b42ae7ef40ddef921e841be81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1504",
    "kind": "arxiv",
    "version": 1
  }
}