Pith Number

pith:XNEIC6PH

pith:2020:XNEIC6PH3KY2P4QT3ROAFWHEPN

not attested not anchored not stored refs pending

Extreme Points and Factorizability for New Classes of Unital Quantum Channels

Magdalena Musat, Mary Beth Ruskai, Uffe Haagerup

arxiv:2006.03414 v4 · 2020-06-05 · math.OA · math-ph · math.MP · quant-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{XNEIC6PH3KY2P4QT3ROAFWHEPN}

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

Thermal operations from informational equilibrium

Receipt and verification

First computed	2026-07-05T03:33:37.653071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb488179e7dab1a7f213dc5c02d8e47b5d33ae5c40de2c6847193a2433817c87

Aliases

arxiv: 2006.03414 · arxiv_version: 2006.03414v4 · doi: 10.48550/arxiv.2006.03414 · pith_short_12: XNEIC6PH3KY2 · pith_short_16: XNEIC6PH3KY2P4QT · pith_short_8: XNEIC6PH

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/XNEIC6PH3KY2P4QT3ROAFWHEPN \
  | 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: bb488179e7dab1a7f213dc5c02d8e47b5d33ae5c40de2c6847193a2433817c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c21fcce8b0af515d336451f8bcb95126be71a6daf1b4ca13bbd0a794473ef1b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-06-05T13:13:18Z",
    "title_canon_sha256": "cc9f32eff5d1bedbac4cb1b19e324534f6e2a9422d0c69db56da24c073bed624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.03414",
    "kind": "arxiv",
    "version": 4
  }
}