Pith Number

pith:CGKF5Y6D

pith:2015:CGKF5Y6DJSF4GE3OSNNCIGZPIV

not attested not anchored not stored refs pending

Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers

Asif Khan, Khursheed J. Ansari, Md. Nasiruzzaman, M. Mursaleen

arxiv:1505.00392 v3 · 2015-05-03 · 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{CGKF5Y6DJSF4GE3OSNNCIGZPIV}

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	2026-05-18T01:26:10.319949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11945ee3c34c8bc3136e935a241b2f4579ecb53f88103b92dd52e0afd80e7ebd

Aliases

arxiv: 1505.00392 · arxiv_version: 1505.00392v3 · doi: 10.48550/arxiv.1505.00392 · pith_short_12: CGKF5Y6DJSF4 · pith_short_16: CGKF5Y6DJSF4GE3O · pith_short_8: CGKF5Y6D

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/CGKF5Y6DJSF4GE3OSNNCIGZPIV \
  | 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: 11945ee3c34c8bc3136e935a241b2f4579ecb53f88103b92dd52e0afd80e7ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3856d4fa0fc060d0d6aa00d88d7bf25c9d41126f0f26d6dff030683a2258cd50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-03T04:31:43Z",
    "title_canon_sha256": "254ead27ee42d4a875208ab493a6bc7e279214ef7624b218eb8cef3de39934a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00392",
    "kind": "arxiv",
    "version": 3
  }
}