Pith Number

pith:Q7ARZNLA

pith:2025:Q7ARZNLA7DGK7WLWPUKY7TV5LO

not attested not anchored not stored refs pending

Transportation cost and contraction coefficient for channels on von Neumann algebras

Marius Junge, Peixue Wu, Roy Araiza

arxiv:2506.04197 v1 · 2025-06-04 · math.OA · math-ph · math.FA · 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{Q7ARZNLA7DGK7WLWPUKY7TV5LO}

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

Metrics on completely positive maps via noncommutative geometry

Receipt and verification

First computed	2026-07-05T11:15:58.781025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c11cb560f8ccafd9767d158fcebd5bad2ce2a79785b1627e8baea6a2ad6e4b

Aliases

arxiv: 2506.04197 · arxiv_version: 2506.04197v1 · doi: 10.48550/arxiv.2506.04197 · pith_short_12: Q7ARZNLA7DGK · pith_short_16: Q7ARZNLA7DGK7WLW · pith_short_8: Q7ARZNLA

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/Q7ARZNLA7DGK7WLWPUKY7TV5LO \
  | 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: 87c11cb560f8ccafd9767d158fcebd5bad2ce2a79785b1627e8baea6a2ad6e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235459a2a693c44a9b3fa530373c8f69ff8beacf2bf09abf6fcbcda87a8da9ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-06-04T17:42:33Z",
    "title_canon_sha256": "873b9aa5be6860fbc4efc49f532d81e602b281708783fc82f880c47a4869b80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04197",
    "kind": "arxiv",
    "version": 1
  }
}