Pith Number

pith:ZBUMC4BW

pith:2015:ZBUMC4BW7TV4JQDHCGD74ARQON

not attested not anchored not stored refs pending

Some approximation properties of bivariate Bleimann-Butzer and Hahn operators based on (p,q)-integers

Md. Nasiruzzaman, M. Mursaleen

arxiv:1506.02487 v1 · 2015-05-24 · 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{ZBUMC4BW7TV4JQDHCGD74ARQON}

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	2026-05-18T01:55:50.993169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c868c17036fcebc4c0671187fe0230735c354d664a7d6acddd04a9d46ab39fae

Aliases

arxiv: 1506.02487 · arxiv_version: 1506.02487v1 · doi: 10.48550/arxiv.1506.02487 · pith_short_12: ZBUMC4BW7TV4 · pith_short_16: ZBUMC4BW7TV4JQDH · pith_short_8: ZBUMC4BW

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/ZBUMC4BW7TV4JQDHCGD74ARQON \
  | 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: c868c17036fcebc4c0671187fe0230735c354d664a7d6acddd04a9d46ab39fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b1aae3e21279d12b80d43c8d9217516a6563ae370c87c3f545c2468796dc83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-24T12:54:38Z",
    "title_canon_sha256": "e96d7628baa83ebe02044186d30a2434d3e99b6c056fda9fee440767851bb38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02487",
    "kind": "arxiv",
    "version": 1
  }
}