Pith Number

pith:XG3FRGMB

pith:2012:XG3FRGMBRVOPB52VGIDCOUKDKM

not attested not anchored not stored refs pending

Quantum-correlation breaking channels, quantum conditional probability and Perron-Frobenius theory

Dariusz Chru\'sci\'nski

arxiv:1209.1014 v2 · 2012-09-05 · 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{XG3FRGMBRVOPB52VGIDCOUKDKM}

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.

Receipt and verification

First computed	2026-05-18T01:54:40.090281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b65899818d5cf0f75532062751435330b4872c2ab1ad1dd468e5bee2a34d84

Aliases

arxiv: 1209.1014 · arxiv_version: 1209.1014v2 · doi: 10.48550/arxiv.1209.1014 · pith_short_12: XG3FRGMBRVOP · pith_short_16: XG3FRGMBRVOPB52V · pith_short_8: XG3FRGMB

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/XG3FRGMBRVOPB52VGIDCOUKDKM \
  | 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: b9b65899818d5cf0f75532062751435330b4872c2ab1ad1dd468e5bee2a34d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2934cf179f3673fa56f3a179ee6dca6b310791dd1d9e566ae3f0afba0c42dc38",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-05T15:30:39Z",
    "title_canon_sha256": "d5f28fa1caf9efdc1d054bed1f1a3f4be9dbdabb9a7775ef44d720d9e9825f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1014",
    "kind": "arxiv",
    "version": 2
  }
}