Pith Number

pith:35CVJW2U

pith:2005:35CVJW2UICTI5LIYLB744VGSSX

not attested not anchored not stored refs pending

Continuity bounds on the quantum relative entropy

J. Eisert, K.M.R. Audenaert

arxiv:quant-ph/0503218 v3 · 2005-03-29 · 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{35CVJW2UICTI5LIYLB744VGSSX}

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

A quantum entropy production operator

Receipt and verification

First computed	2026-07-04T16:57:32.085531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4554db5440a68ead18587fce54d295e0194c8aeba4f8f1eb154fa43fe43111

Aliases

arxiv: quant-ph/0503218 · arxiv_version: quant-ph/0503218v3 · doi: 10.48550/arxiv.quant-ph/0503218 · pith_short_12: 35CVJW2UICTI · pith_short_16: 35CVJW2UICTI5LIY · pith_short_8: 35CVJW2U

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/35CVJW2UICTI5LIYLB744VGSSX \
  | 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: df4554db5440a68ead18587fce54d295e0194c8aeba4f8f1eb154fa43fe43111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb7fdd2e2d600517c65920c5b931df72b725473b7394cbf628adc390b57f46f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-03-29T14:44:44Z",
    "title_canon_sha256": "8156e8db32a19f3e4e29c83ef581014151f6185abeb7696d237b3a19141bf024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0503218",
    "kind": "arxiv",
    "version": 3
  }
}