Pith Number

pith:3JIHCBMT

pith:2017:3JIHCBMTQSANHPPNTR2YYT3YIZ

not attested not anchored not stored refs pending

Relating relative entropy, optimal transport and Fisher information: a quantum HWI inequality

Cambyse Rouz\'e, Nilanjana Datta

arxiv:1709.07437 v1 · 2017-09-21 · quant-ph · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JIHCBMTQSANHPPNTR2YYT3YIZ}

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	2026-05-18T00:34:35.817244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da507105938480d3bded9c758c4f7846562f6a15374db8465d82cb6e7c272c8c

Aliases

arxiv: 1709.07437 · arxiv_version: 1709.07437v1 · doi: 10.48550/arxiv.1709.07437 · pith_short_12: 3JIHCBMTQSAN · pith_short_16: 3JIHCBMTQSANHPPN · pith_short_8: 3JIHCBMT

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/3JIHCBMTQSANHPPNTR2YYT3YIZ \
  | 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: da507105938480d3bded9c758c4f7846562f6a15374db8465d82cb6e7c272c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5355615a8ab5cf8a6a330ef995bc84dec45dcc36828bf83ad280fb10c202c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-09-21T17:54:17Z",
    "title_canon_sha256": "4095ea9d0407b191744c8ea0a23f6e675891a1bc549b0787a2747d734c77b70b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07437",
    "kind": "arxiv",
    "version": 1
  }
}