Pith Number

pith:727UTPZY

pith:2023:727UTPZYWS7MNHBXIWEQ3YMVLI

not attested not anchored not stored refs pending

The Schmidt rank for the commuting operator framework

Alexander Stottmeister, Lauritz van Luijk, Reinhard F. Werner, Ren\'e Schwonnek

arxiv:2307.11619 v1 · 2023-07-21 · quant-ph · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{727UTPZYWS7MNHBXIWEQ3YMVLI}

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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

Unitary induced channels and Tsirelson's problem

Receipt and verification

First computed	2026-07-05T08:34:04.711306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febf49bf38b4bec69c3745890de1955a12838752564007bf3f010a9e06c54431

Aliases

arxiv: 2307.11619 · arxiv_version: 2307.11619v1 · doi: 10.48550/arxiv.2307.11619 · pith_short_12: 727UTPZYWS7M · pith_short_16: 727UTPZYWS7MNHBX · pith_short_8: 727UTPZY

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/727UTPZYWS7MNHBXIWEQ3YMVLI \
  | 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: febf49bf38b4bec69c3745890de1955a12838752564007bf3f010a9e06c54431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab271b6cdc1568e3d41bcce9ba63fbe7c1684780f22e97827f59c97d34cc9c41",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-07-21T14:37:33Z",
    "title_canon_sha256": "2930c0a3258bb68e715e67b763147d56b18b84518b899248c19473a4c88c6645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11619",
    "kind": "arxiv",
    "version": 1
  }
}