Pith Number

pith:PT2NHUYP

pith:2013:PT2NHUYPMMUE3VJ2YAMWFGAPFU

not attested not anchored not stored refs pending

A new quantum version of f-divergence

Keiji Matsumoto

arxiv:1311.4722 v4 · 2013-11-19 · 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{PT2NHUYPMMUE3VJ2YAMWFGAPFU}

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.

Cited by

4 papers in Pith

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

A Weighted Spectral Quantum Fidelity

Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems

Quantum Proper Scoring Rules: Minimax Estimation and Resource-Theoretic Advantages

Receipt and verification

First computed	2026-05-18T00:24:25.509811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf4d3d30f63284dd53ac01962980f2d073e264b3a986109d34d8e304d7e7e35

Aliases

arxiv: 1311.4722 · arxiv_version: 1311.4722v4 · doi: 10.48550/arxiv.1311.4722 · pith_short_12: PT2NHUYPMMUE · pith_short_16: PT2NHUYPMMUE3VJ2 · pith_short_8: PT2NHUYP

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/PT2NHUYPMMUE3VJ2YAMWFGAPFU \
  | 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: 7cf4d3d30f63284dd53ac01962980f2d073e264b3a986109d34d8e304d7e7e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1657c1ba307ae8dffd00b64d227ae3d3b8a566614ca69abfbc83a4bc30ebfcdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-19T12:46:17Z",
    "title_canon_sha256": "127728c130c678a564727223f67dacba91b13d9a2dd1a612cb40b42ae17fa66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4722",
    "kind": "arxiv",
    "version": 4
  }
}