Pith Number

pith:2G33WDPZ

pith:2004:2G33WDPZV3JSXZTIYBYPRJEJNY

not attested not anchored not stored refs pending

Conditions for strictly purity-decreasing quantum Markovian dynamics

(2) Institute of Theoretical Physics, A. Shabani (1), Astrophysics University of Gdansk), D.A. Lidar (1), Quantum Control, R. Alicki (2) ((1) Center for Quantum Information, University of Toronto

arxiv:quant-ph/0411119 v2 · 2004-11-16 · quant-ph · math-ph · math.MP · physics.chem-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{2G33WDPZV3JSXZTIYBYPRJEJNY}

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 Geometry of Quantum Complexity in Open Systems

Receipt and verification

First computed	2026-05-18T01:26:50.750406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b7bb0df9aed32be668c070f8a4896e2fcffc537b507b237046c61f6332d917

Aliases

arxiv: quant-ph/0411119 · arxiv_version: quant-ph/0411119v2 · doi: 10.48550/arxiv.quant-ph/0411119 · pith_short_12: 2G33WDPZV3JS · pith_short_16: 2G33WDPZV3JSXZTI · pith_short_8: 2G33WDPZ

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/2G33WDPZV3JSXZTIYBYPRJEJNY \
  | 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: d1b7bb0df9aed32be668c070f8a4896e2fcffc537b507b237046c61f6332d917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea458309b3cd21b2d9e88b63937e2dbe5fe3d2961f698bb57a7830d8f87df444",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-11-16T19:14:04Z",
    "title_canon_sha256": "aa43fc322d9b217f0ce47febd0a36519fdbd5365de1a7af2b24394037e6b78a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0411119",
    "kind": "arxiv",
    "version": 2
  }
}