Pith Number

pith:7VNHFCYT

pith:2017:7VNHFCYTXTE3UFCWRS64JUIU64

not attested not anchored not stored refs pending

A Pedagogical Intrinsic Approach to Relative Entropies as Potential Functions of Quantum Metrics: the $q$-$z$ Family

Fabio Di Cosmo, Fabio M. Mele, Florio M. Ciaglia, Franco Ventriglia, Giuseppe Marmo, Marco Laudato, Patrizia Vitale

arxiv:1711.09769 v2 · 2017-11-27 · quant-ph · cs.IT · hep-th · math-ph · math.IT · 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{7VNHFCYTXTE3UFCWRS64JUIU64}

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	2026-05-18T00:12:32.653749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5a728b13bcc9ba14568cbdc4d114f70a91804362004d4ba602f23169f6f2f6

Aliases

arxiv: 1711.09769 · arxiv_version: 1711.09769v2 · doi: 10.48550/arxiv.1711.09769 · pith_short_12: 7VNHFCYTXTE3 · pith_short_16: 7VNHFCYTXTE3UFCW · pith_short_8: 7VNHFCYT

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/7VNHFCYTXTE3UFCWRS64JUIU64 \
  | 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: fd5a728b13bcc9ba14568cbdc4d114f70a91804362004d4ba602f23169f6f2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7e4b9b7cc83c70394a62dddd3cb270ad9d5e9cd7d706850390858fbf4ac80a",
    "cross_cats_sorted": [
      "cs.IT",
      "hep-th",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-11-27T15:35:34Z",
    "title_canon_sha256": "2282c6794a952f0d59f2387237e8b30e5956b7de00d32e65a6cc136ede8974d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09769",
    "kind": "arxiv",
    "version": 2
  }
}