Pith Number

pith:KXFXP2CB

pith:2016:KXFXP2CBXZ6H7BYBS2KZTQBGPL

not attested not anchored not stored refs pending

Statistical approximation by $(p,q)$-analogue of Bernstein-Stancu Operators

Asif Khan, Vinita Sharma

arxiv:1604.05339 v5 · 2016-04-03 · 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{KXFXP2CBXZ6H7BYBS2KZTQBGPL}

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	2026-05-18T00:43:13.394889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55cb77e841be7c7f8701969599c0267ae6c725d690fc43f163b74998a0efe81d

Aliases

arxiv: 1604.05339 · arxiv_version: 1604.05339v5 · doi: 10.48550/arxiv.1604.05339 · pith_short_12: KXFXP2CBXZ6H · pith_short_16: KXFXP2CBXZ6H7BYB · pith_short_8: KXFXP2CB

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/KXFXP2CBXZ6H7BYBS2KZTQBGPL \
  | 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: 55cb77e841be7c7f8701969599c0267ae6c725d690fc43f163b74998a0efe81d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20ca53e690b1b6dc9a4693b96854338cf8275d42ddb695082f583bc26534f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-03T05:00:43Z",
    "title_canon_sha256": "af04649b5a69c71130351b77617729aea8cf0110e867ee7db76d989f02815b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05339",
    "kind": "arxiv",
    "version": 5
  }
}