Pith Number

pith:RJ7NRGK7

pith:2018:RJ7NRGK7SJZZZSQBB67FL3VJFG

not attested not anchored not stored refs pending

$\Phi-$entropy inequalities and asymmetric covariance estimates for convex measures

Van Hoang Nguyen

arxiv:1810.07141 v1 · 2018-10-16 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJ7NRGK7SJZZZSQBB67FL3VJFG}

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	2026-05-18T00:03:10.304230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7ed8995f92739cca010fbe55eea929abcd67479eb41fb498d0c9b562b8a7bc

Aliases

arxiv: 1810.07141 · arxiv_version: 1810.07141v1 · doi: 10.48550/arxiv.1810.07141 · pith_short_12: RJ7NRGK7SJZZ · pith_short_16: RJ7NRGK7SJZZZSQB · pith_short_8: RJ7NRGK7

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/RJ7NRGK7SJZZZSQBB67FL3VJFG \
  | 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: 8a7ed8995f92739cca010fbe55eea929abcd67479eb41fb498d0c9b562b8a7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f549e1021078b886e1d78aafecbfaaee11557d8ff4d79bcffddde0ddcd512405",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-16T17:14:04Z",
    "title_canon_sha256": "662b922f007ed736de439e2c38a2cc93e417e1aa32452014d5fa81327d49a574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07141",
    "kind": "arxiv",
    "version": 1
  }
}