Pith Number

pith:5YDUVE3Q

pith:2015:5YDUVE3QD36GHHTTAYPMYUBJNE

not attested not anchored not stored refs pending

Approximation by a Kantorovich type q-Bernstein-Stancu operators

Asif Khan, Khursheed J. Ansari, M. Mursaleen

arxiv:1505.06998 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{5YDUVE3QD36GHHTTAYPMYUBJNE}

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	2026-05-18T02:03:27.355489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee074a93701efc639e73061ecc50296922428bd1c3d914352258967264b67103

Aliases

arxiv: 1505.06998 · arxiv_version: 1505.06998v1 · doi: 10.48550/arxiv.1505.06998 · pith_short_12: 5YDUVE3QD36G · pith_short_16: 5YDUVE3QD36GHHTT · pith_short_8: 5YDUVE3Q

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/5YDUVE3QD36GHHTTAYPMYUBJNE \
  | 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: ee074a93701efc639e73061ecc50296922428bd1c3d914352258967264b67103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9045995b32e1af0e6bc85df1eeebde93ab3b97e730e460f807a75cf6566820e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-24T17:39:04Z",
    "title_canon_sha256": "2f7b362f85f12d89e504e8654f148616ae0ba8a33b7bd3a43b1e460a49a2dce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06998",
    "kind": "arxiv",
    "version": 1
  }
}