Pith Number

pith:OMDZOG2G

pith:2018:OMDZOG2GFGPKXWYY2W5B5GVWYA

not attested not anchored not stored refs pending

Inequalities for quantum divergences and the Audenaert-Datta conjecture

Elliott H. Lieb, Eric A. Carlen, Rupert L. Frank

arxiv:1806.03985 v1 · 2018-06-11 · math-ph · math.FA · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMDZOG2GFGPKXWYY2W5B5GVWYA}

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	2026-05-18T00:00:55.173514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7307971b46299eabdb18d5ba1e9ab6c00dd63b1c1ea3c4f74c8057ef1c0c471f

Aliases

arxiv: 1806.03985 · arxiv_version: 1806.03985v1 · doi: 10.48550/arxiv.1806.03985 · pith_short_12: OMDZOG2GFGPK · pith_short_16: OMDZOG2GFGPKXWYY · pith_short_8: OMDZOG2G

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/OMDZOG2GFGPKXWYY2W5B5GVWYA \
  | 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: 7307971b46299eabdb18d5ba1e9ab6c00dd63b1c1ea3c4f74c8057ef1c0c471f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b59074c438d0e99b25891fbcaa5a29eef73c034bd7afe7371bd1ab7526c148",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-11T13:55:36Z",
    "title_canon_sha256": "1058600721821e65c705396f7d6080a5749aa99e72f47784610f4f8fc801f544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03985",
    "kind": "arxiv",
    "version": 1
  }
}