Pith Number

pith:4XGYWGRQ

pith:2015:4XGYWGRQU34TSP24MPXMJLQ22R

not attested not anchored not stored refs pending

Passive states optimize the output of bosonic Gaussian quantum channels

Dario Trevisan, Giacomo De Palma, Vittorio Giovannetti

arxiv:1511.00293 v2 · 2015-11-01 · 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{4XGYWGRQU34TSP24MPXMJLQ22R}

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	2026-05-18T01:16:29.493441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5cd8b1a30a6f9393f5c63eec4ae1ad453f2134808fd3b21e91bc77d4ec1bb1e

Aliases

arxiv: 1511.00293 · arxiv_version: 1511.00293v2 · doi: 10.48550/arxiv.1511.00293 · pith_short_12: 4XGYWGRQU34T · pith_short_16: 4XGYWGRQU34TSP24 · pith_short_8: 4XGYWGRQ

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/4XGYWGRQU34TSP24MPXMJLQ22R \
  | 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: e5cd8b1a30a6f9393f5c63eec4ae1ad453f2134808fd3b21e91bc77d4ec1bb1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40493f688ca4eb33481b0413dc3924e3c58ed565463d7747993c9162732a5af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-01T18:58:51Z",
    "title_canon_sha256": "8780da0373709dd4e4b59ca1cea032aaa573c1a77432be14165acd689d30ef30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00293",
    "kind": "arxiv",
    "version": 2
  }
}