Pith Number

pith:OCAORH3B

pith:2017:OCAORH3B4ALPWLFLV2JOFIBRCH

not attested not anchored not stored refs pending

A glimpse at the operator Kantorovich inequality

H.R. Moradi, I.H. G\"um\"u\c{s}, Z. Heydarbeygi

arxiv:1708.04547 v4 · 2017-08-15 · 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{OCAORH3B4ALPWLFLV2JOFIBRCH}

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	2026-05-18T00:22:10.778900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7080e89f61e016fb2cabae92e2a03111d27f4719ef1c155e0d04459f2d61c30c

Aliases

arxiv: 1708.04547 · arxiv_version: 1708.04547v4 · doi: 10.48550/arxiv.1708.04547 · pith_short_12: OCAORH3B4ALP · pith_short_16: OCAORH3B4ALPWLFL · pith_short_8: OCAORH3B

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/OCAORH3B4ALPWLFLV2JOFIBRCH \
  | 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: 7080e89f61e016fb2cabae92e2a03111d27f4719ef1c155e0d04459f2d61c30c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db66f7cf62163814126f0368c7ef243235a52cda8743107aea250c6376663be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-15T15:17:12Z",
    "title_canon_sha256": "6ddc67957a42fede2878294adde214dc098a380c4d1bb6d7f73dcafd5daa64e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04547",
    "kind": "arxiv",
    "version": 4
  }
}