Pith. sign in
Pith Number

pith:XRFOGNZ5

pith:2024:XRFOGNZ5NIHINT5Z2DZG5ZK3YW
not attested not anchored not stored refs pending

Matrix decompositions in Quantum Optics: Takagi/Autonne, Bloch-Messiah/Euler, Iwasawa, and Williamson

Martin Houde, Nicol\'as Quesada, Will McCutcheon

arxiv:2403.04596 v2 · 2024-03-07 · quant-ph · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XRFOGNZ5NIHINT5Z2DZG5ZK3YW}

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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.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-05T09:25:41.394510Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc4ae3373d6a0e86cfb9d0f26ee55bc5ac86d35e63b7b64e724e1bd601441d6f

Aliases

arxiv: 2403.04596 · arxiv_version: 2403.04596v2 · doi: 10.48550/arxiv.2403.04596 · pith_short_12: XRFOGNZ5NIHI · pith_short_16: XRFOGNZ5NIHINT5Z · pith_short_8: XRFOGNZ5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XRFOGNZ5NIHINT5Z2DZG5ZK3YW \
  | 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: bc4ae3373d6a0e86cfb9d0f26ee55bc5ac86d35e63b7b64e724e1bd601441d6f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a3b3352e440e2c825e47f0e74cedd83861a99dec97a220228a2f10f429013147",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-03-07T15:43:17Z",
    "title_canon_sha256": "fd77388b30e901ab2cd6619f3f579fc32fc31f01236ec53122c5164556aa4e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.04596",
    "kind": "arxiv",
    "version": 2
  }
}