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Paper Citation Record · LEDGER

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

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2403.04596.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2403.04596 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T04:42:02.531341Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T18:10:01.752099Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 0df69b93-43bb-45a1-9612-f20a171da1c1 · inbound

Bosonic Quantum Computational Complexity cites this paper.

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

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-23T20:18:24.107166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T20:17:01.394622Z digest=sha256:a1a0513d64a9a4aaf7b1df17cc949e8c8b2c4867432878b0a189e9b982690555

Observation 308344ff-f6a4-4cba-abf9-ecab63050e8e · inbound

The $\omega$-Effect from a Multimode Squeezed Graviton State cites this paper.

The $\omega$-Effect from a Multimode Squeezed Graviton State Matrix decompositions in Quantum Optics: Takagi/Autonne, Bloch-Messiah/Euler, Iwasawa, and Williamson

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:10:01.754434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-25T23:01:55.195336Z digest=sha256:60026455e1a3230294b392118a3c757fa7f2f6a772c97286c78aac828a141428

Observation ff5fb815-ceae-48b8-8931-154770d6ae16 · inbound

Torsional four-fermion interaction for Majorana neutrinos cites this paper.

Torsional four-fermion interaction for Majorana neutrinos Matrix decompositions in Quantum Optics: Takagi/Autonne, Bloch-Messiah/Euler, Iwasawa, and Williamson

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-07-04T13:59:52.404192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-26T04:42:02.531341Z digest=sha256:96d8dd9fd46893dc573cd0561f912108c3f2305a95fa8e6543caf341e2c8a93c