Pith Number

pith:XQ6MIGAH

pith:2016:XQ6MIGAH7A3HMXTC56NLSQUT5B

not attested not anchored not stored refs pending

The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have Gaussian Maximizers

Dario Trevisan, Giacomo De Palma, Vittorio Giovannetti

arxiv:1610.09967 v2 · 2016-10-31 · math-ph · math.MP · math.PR · 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{XQ6MIGAH7A3HMXTC56NLSQUT5B}

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	2026-05-18T00:08:57.778817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3cc41807f836765e62ef9ab94293e84d5c47dcbc3707c1e9b5b1db4a4e0576

Aliases

arxiv: 1610.09967 · arxiv_version: 1610.09967v2 · doi: 10.48550/arxiv.1610.09967 · pith_short_12: XQ6MIGAH7A3H · pith_short_16: XQ6MIGAH7A3HMXTC · pith_short_8: XQ6MIGAH

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/XQ6MIGAH7A3HMXTC56NLSQUT5B \
  | 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: bc3cc41807f836765e62ef9ab94293e84d5c47dcbc3707c1e9b5b1db4a4e0576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171aecb591ff17d83c301bae47c3092a47b5da3d3e6f226466eaa03f84d7b9eb",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-31T15:26:24Z",
    "title_canon_sha256": "d613016c41845b94f8f292480be6de81ff28bd068c2b442f7ce1c993fa0210b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09967",
    "kind": "arxiv",
    "version": 2
  }
}