Pith Number

pith:4XOC5YTE

pith:2015:4XOC5YTE2BMD4YX6OTMYUTX7V7

not attested not anchored not stored refs pending

Normal form decomposition for Gaussian-to-Gaussian superoperators

Alexander S. Holevo, Andrea Mari, Giacomo De Palma, Vittorio Giovannetti

arxiv:1502.01870 v4 · 2015-02-06 · 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{4XOC5YTE2BMD4YX6OTMYUTX7V7}

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	2026-05-18T02:03:59.839791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5dc2ee264d0583e62fe74d98a4effaff08107a4bd3c09a0c9422a0af79c7634

Aliases

arxiv: 1502.01870 · arxiv_version: 1502.01870v4 · doi: 10.48550/arxiv.1502.01870 · pith_short_12: 4XOC5YTE2BMD · pith_short_16: 4XOC5YTE2BMD4YX6 · pith_short_8: 4XOC5YTE

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/4XOC5YTE2BMD4YX6OTMYUTX7V7 \
  | 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: e5dc2ee264d0583e62fe74d98a4effaff08107a4bd3c09a0c9422a0af79c7634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de65ced3b2c37f1063a0395de696ffd15f40d6091a9837c4545d582c5d6a4ed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-02-06T12:29:29Z",
    "title_canon_sha256": "071534bb4d5b4c57e818f69c953ed3180f49add30093a1ed1c45c5a2bc092f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01870",
    "kind": "arxiv",
    "version": 4
  }
}