Pith Number

pith:JVF6EXM4

pith:2013:JVF6EXM4AARNXP5YWWDWKDGH66

not attested not anchored not stored refs pending

Revisiting additivity violation of quantum channels

Motohisa Fukuda

arxiv:1307.0707 v3 · 2013-07-02 · 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{JVF6EXM4AARNXP5YWWDWKDGH66}

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	2026-05-18T02:32:46.486303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d4be25d9c0022dbbfb8b587650cc7f7b1fff66d6cb9d03a76336c680e70f2d7

Aliases

arxiv: 1307.0707 · arxiv_version: 1307.0707v3 · doi: 10.48550/arxiv.1307.0707 · pith_short_12: JVF6EXM4AARN · pith_short_16: JVF6EXM4AARNXP5Y · pith_short_8: JVF6EXM4

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/JVF6EXM4AARNXP5YWWDWKDGH66 \
  | 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: 4d4be25d9c0022dbbfb8b587650cc7f7b1fff66d6cb9d03a76336c680e70f2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20a80f4b91330f2300f1da8a69d621ce8294e1f75aa40cdaf2989dfec0cac89f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-02T13:53:19Z",
    "title_canon_sha256": "bfb9b8cc3e5839e56c49debb8e621f760cfe19a1c2ef821e383fa2856b9bf911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0707",
    "kind": "arxiv",
    "version": 3
  }
}