Pith Number

pith:T2BCTKI3

pith:2015:T2BCTKI3UXPZ3MSCEULI7EDS7O

not attested not anchored not stored refs pending

Inclusion of generalized Bessel functions in the Janowski class

Al Dhuain Mohammed, Saiful R. Mondal

arxiv:1506.03138 v1 · 2015-06-09 · 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{T2BCTKI3UXPZ3MSCEULI7EDS7O}

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	2026-05-18T01:55:31.412999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8229a91ba5df9db24225168f9072fb862e25efd3c64994962687003862518f

Aliases

arxiv: 1506.03138 · arxiv_version: 1506.03138v1 · doi: 10.48550/arxiv.1506.03138 · pith_short_12: T2BCTKI3UXPZ · pith_short_16: T2BCTKI3UXPZ3MSC · pith_short_8: T2BCTKI3

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/T2BCTKI3UXPZ3MSCEULI7EDS7O \
  | 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: 9e8229a91ba5df9db24225168f9072fb862e25efd3c64994962687003862518f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7a00f48ce7aed24b5a8cc6715948a48502e95c4fb8c1520fc58d114e9b1a88",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-09T23:58:18Z",
    "title_canon_sha256": "72f5d55ee08efb47bc64c77c34426f08bef9f7c8ddf9ccfd29c1d055745e5f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03138",
    "kind": "arxiv",
    "version": 1
  }
}