Pith Number

pith:KJKCZKIG

pith:2017:KJKCZKIGO7FDBCR6GKST2HE3X7

not attested not anchored not stored refs pending

Approximation by generalized bivariate Kantorovich sampling type series

A. Sathish Kumar, P. Devaraj

arxiv:1711.04977 v1 · 2017-11-14 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJKCZKIGO7FDBCR6GKST2HE3X7}

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	2026-05-18T00:30:35.263181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52542ca90677ca308a3e32a53d1c9bbfd69dad38a0d688cecd63116b0dca5402

Aliases

arxiv: 1711.04977 · arxiv_version: 1711.04977v1 · doi: 10.48550/arxiv.1711.04977 · pith_short_12: KJKCZKIGO7FD · pith_short_16: KJKCZKIGO7FDBCR6 · pith_short_8: KJKCZKIG

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/KJKCZKIGO7FDBCR6GKST2HE3X7 \
  | 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: 52542ca90677ca308a3e32a53d1c9bbfd69dad38a0d688cecd63116b0dca5402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50225820f6ed753f2ea1cc066564b3956708d8a3ed6f05ac18fec27a92e37c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-14T06:54:55Z",
    "title_canon_sha256": "29952ad0b4707aa896443c0785d5b6a70022d55bdfac7afe649c17335dd3e9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04977",
    "kind": "arxiv",
    "version": 1
  }
}