Pith Number

pith:KLI4ODYF

pith:2016:KLI4ODYFP4ZO5STCIM3JTJABDY

not attested not anchored not stored refs pending

Relations between the generalized Bessel functions and the Janowski class

A. D. Mohammed, S. Kanas, S. R. Mondal

arxiv:1607.02100 v1 · 2016-07-07 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLI4ODYFP4ZO5STCIM3JTJABDY}

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	2026-05-18T01:11:22.142412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d1c70f057f32eeca62433699a4011e3f0d2e155031c2b3d4c1af18f2d3b7c9

Aliases

arxiv: 1607.02100 · arxiv_version: 1607.02100v1 · doi: 10.48550/arxiv.1607.02100 · pith_short_12: KLI4ODYFP4ZO · pith_short_16: KLI4ODYFP4ZO5STC · pith_short_8: KLI4ODYF

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/KLI4ODYFP4ZO5STCIM3JTJABDY \
  | 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: 52d1c70f057f32eeca62433699a4011e3f0d2e155031c2b3d4c1af18f2d3b7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efb5a2895ef78a4863c73e3f088480dcec7f31350159c57dd48de806a33cd96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-07T17:38:00Z",
    "title_canon_sha256": "c5adce29e5a3e2df6e0daa05252c74d407b6b1b548e07eb84096408ff749f10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02100",
    "kind": "arxiv",
    "version": 1
  }
}