Pith Number

pith:DYEYC4VJ

pith:2024:DYEYC4VJYGD7LU7DT5PIDROKCW

not attested not anchored not stored refs pending

Continuity bounds for quantum entropies arising from a fundamental entropic inequality

\'Angela Capel, Bjarne Bergh, Koenraad Audenaert, Michael G. Jabbour, Nilanjana Datta, Paul Gondolf

arxiv:2408.15306 v4 · 2024-08-27 · quant-ph · math-ph · 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{DYEYC4VJYGD7LU7DT5PIDROKCW}

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

The entropic coherence is a necessary resource for non-energy preserving gates

Receipt and verification

First computed	2026-07-05T11:59:07.048195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e098172a9c187f5d3e39f5e81c5ca15adea74a12b0cee69f215ba2978251d5b

Aliases

arxiv: 2408.15306 · arxiv_version: 2408.15306v4 · doi: 10.48550/arxiv.2408.15306 · pith_short_12: DYEYC4VJYGD7 · pith_short_16: DYEYC4VJYGD7LU7D · pith_short_8: DYEYC4VJ

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/DYEYC4VJYGD7LU7DT5PIDROKCW \
  | 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: 1e098172a9c187f5d3e39f5e81c5ca15adea74a12b0cee69f215ba2978251d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ffa4ab68a5d7598232010eb5bd6eef76e01b6f5ec456ea242368b0a40a1374",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-08-27T15:59:38Z",
    "title_canon_sha256": "c165977641dc22ecd24c4d6463eecc6728ff4f22a5b53f1b7fe3a65ef5235b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15306",
    "kind": "arxiv",
    "version": 4
  }
}