Pith Number

pith:BEW4Y3W3

pith:2010:BEW4Y3W3RBK6ANZAL5YU6K3MKE

not attested not anchored not stored refs pending

The optimal unitary dilation for bosonic Gaussian channels

Alexander S. Holevo, Filippo Caruso, Jens Eisert, Vittorio Giovannetti

arxiv:1009.1108 v1 · 2010-09-06 · 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{BEW4Y3W3RBK6ANZAL5YU6K3MKE}

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	2026-05-18T02:05:36.123791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092dcc6edb8855e037205f714f2b6c51226709db462570374aee7a6a2d53fc81

Aliases

arxiv: 1009.1108 · arxiv_version: 1009.1108v1 · doi: 10.48550/arxiv.1009.1108 · pith_short_12: BEW4Y3W3RBK6 · pith_short_16: BEW4Y3W3RBK6ANZA · pith_short_8: BEW4Y3W3

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/BEW4Y3W3RBK6ANZAL5YU6K3MKE \
  | 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: 092dcc6edb8855e037205f714f2b6c51226709db462570374aee7a6a2d53fc81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa85c91c71db8b10e68608a9d68509eabaf51af366d373e8ef9f6dcde28ae805",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-09-06T18:08:36Z",
    "title_canon_sha256": "2122da980bff024ce49cdf2038df12802e8154c416ce3fd5c7a1b971d0ecb2a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1108",
    "kind": "arxiv",
    "version": 1
  }
}