Pith Number

pith:LEQHYY3S

pith:2025:LEQHYY3SM6U3MNMMRJSWTRXICF

not attested not anchored not stored refs pending

From Classical to Quantum: Explicit Classical Distributions Achieving Maximal Quantum $f$-Divergence

Dimitri Lanier, Julien B\'eguinot, Olivier Rioul

arxiv:2501.14340 v1 · 2025-01-24 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEQHYY3SM6U3MNMMRJSWTRXICF}

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

1 paper in Pith

Tight Contraction Rates for Primitive Channels under Quantum $f$-Divergences

Receipt and verification

First computed	2026-07-05T10:04:49.231897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59207c637267a9b6358c8a6569c6e81143a4b4584e3b91e6f9e622920ce02068

Aliases

arxiv: 2501.14340 · arxiv_version: 2501.14340v1 · doi: 10.48550/arxiv.2501.14340 · pith_short_12: LEQHYY3SM6U3 · pith_short_16: LEQHYY3SM6U3MNMM · pith_short_8: LEQHYY3S

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/LEQHYY3SM6U3MNMMRJSWTRXICF \
  | 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: 59207c637267a9b6358c8a6569c6e81143a4b4584e3b91e6f9e622920ce02068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2563217b0820404fe0fd216b6a4c16c73bb4fdfb175c4575fdc34d2c6be12527",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-01-24T09:06:13Z",
    "title_canon_sha256": "4ec6ae95107d7eeb1b178bcfef23d8a88bb2a4d37face87437b1d85c829188ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14340",
    "kind": "arxiv",
    "version": 1
  }
}