Pith Number

pith:LDL5S7FK

pith:2015:LDL5S7FKMJY4D2JWU57MHJKB7L

not attested not anchored not stored refs pending

On a Kantorovich variant of (p,q)-Szasz-Mirakjan operators

Abylkassymova Elmira, Khursheed J. Ansari, M. Mursaleen

arxiv:1512.03731 v1 · 2015-12-01 · 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{LDL5S7FKMJY4D2JWU57MHJKB7L}

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	2026-05-18T01:24:31.510557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d7d97caa6271c1e936a77ec3a541faebfd2c0945002aa21037cf9754e065a1

Aliases

arxiv: 1512.03731 · arxiv_version: 1512.03731v1 · doi: 10.48550/arxiv.1512.03731 · pith_short_12: LDL5S7FKMJY4 · pith_short_16: LDL5S7FKMJY4D2JW · pith_short_8: LDL5S7FK

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/LDL5S7FKMJY4D2JWU57MHJKB7L \
  | 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: 58d7d97caa6271c1e936a77ec3a541faebfd2c0945002aa21037cf9754e065a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0dfcfb08bd10f66f15f379c539df7af202cd54fa766a42012b8e283b121e1c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-01T07:00:47Z",
    "title_canon_sha256": "f6dba4275ca0e6d8aaf5c358aba9551e3b7010e5758ab25ae9e8ddc9f28dedb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03731",
    "kind": "arxiv",
    "version": 1
  }
}