Pith Number

pith:M42DCBQW

pith:2015:M42DCBQWUVAJRDMFSIMZRDG4QC

not attested not anchored not stored refs pending

$\alpha$$\beta$-Statistical Convergence of Modified $q$-Durrmeyer Operators

Prashantkumar Patel, Vishnu Narayan Mishra

arxiv:1508.07901 v1 · 2015-08-28 · 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{M42DCBQWUVAJRDMFSIMZRDG4QC}

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	2026-05-18T01:34:31.211648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6734310616a540988d859219988cdc808b56a7ed189b7ac9f8b51f9884a2b34f

Aliases

arxiv: 1508.07901 · arxiv_version: 1508.07901v1 · doi: 10.48550/arxiv.1508.07901 · pith_short_12: M42DCBQWUVAJ · pith_short_16: M42DCBQWUVAJRDMF · pith_short_8: M42DCBQW

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/M42DCBQWUVAJRDMFSIMZRDG4QC \
  | 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: 6734310616a540988d859219988cdc808b56a7ed189b7ac9f8b51f9884a2b34f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b86d5091aa366f0cc4c4ebd986f7d10438eb7be60e89d8faf7baa5c9b4ff2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-28T15:12:51Z",
    "title_canon_sha256": "523959a0ee65063d929815cb3c549baa5e95aea95dad41d1edd6c3b03d4bb9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07901",
    "kind": "arxiv",
    "version": 1
  }
}