Pith Number

pith:KC2HB3CN

pith:2016:KC2HB3CNUJ5DC4S5Q3GGZ5EWZO

not attested not anchored not stored refs pending

Inequalities of M.G. Krein, Yu.V. Linnik and E.A. Gorin for positive definite functions

A.B. Pevnyi, S.M. Sitnik

arxiv:1609.01218 v1 · 2016-09-05 · 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{KC2HB3CNUJ5DC4S5Q3GGZ5EWZO}

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	2026-05-18T01:06:18.609123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b470ec4da27a31725d86cc6cf496cba66948eda4db228aa83f4feb3ef1e019

Aliases

arxiv: 1609.01218 · arxiv_version: 1609.01218v1 · doi: 10.48550/arxiv.1609.01218 · pith_short_12: KC2HB3CNUJ5D · pith_short_16: KC2HB3CNUJ5DC4S5 · pith_short_8: KC2HB3CN

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/KC2HB3CNUJ5DC4S5Q3GGZ5EWZO \
  | 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: 50b470ec4da27a31725d86cc6cf496cba66948eda4db228aa83f4feb3ef1e019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44203918b10759d1cf020803ada0335745b364ffa1f5d4da3dd4f719e733649c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-05T16:40:34Z",
    "title_canon_sha256": "b1f2e2d96bccb826ee6c83f7e011bab1463bc317c96c6eba064ce9a2abe4f882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01218",
    "kind": "arxiv",
    "version": 1
  }
}