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Paper Citation Record · LEDGER

Permanents in linear optical networks

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:quant-ph/0406127.

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

pith.paper-citation-record.v1
quant-ph/0406127 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:35:50.361198Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T16:14:53.375054Z

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 83dfdcbb-3302-4ecc-99d3-70b86ad13157 · inbound

Boson-fermion complementarity in a linear interferometer: An identity relating the determinant and permanent of a matrix cites this paper.

Boson-fermion complementarity in a linear interferometer: An identity relating the determinant and permanent of a matrix Permanents in linear optical networks

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-05-24T04:53:53.998294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T04:52:35.674376Z digest=sha256:32a78859c368e97976a759fa7775e1654f2f543a48cec63df130f8510c3ec17e

Observation 5b0e1496-004b-48f7-9f9a-25f57f880ebd · inbound

Incoherent behavior of partially distinguishable photons cites this paper.

Incoherent behavior of partially distinguishable photons Permanents in linear optical networks

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-08T20:35:50.361198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T20:35:50.361198Z digest=sha256:2aad81502ede28e914d0e4db0a7322fb0b650fd4a8e471b4b2137e2e6217c1de

Observation 579cd866-27c5-451f-aea3-2125662eeeb3 · inbound

Unveiling Hierarchical Invariants in Multiphoton Linear Optics cites this paper.

Unveiling Hierarchical Invariants in Multiphoton Linear Optics Permanents in linear optical networks

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T00:45:14.679021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:45:14.679021Z digest=sha256:aa328353d39e290675277f1b62940324e98069d71308229d6196a08bf3763cff

Observation a5f25bd1-dfb4-46c6-b030-2bcd24d537d9 · inbound

An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality cites this paper.

An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Permanents in linear optical networks

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T21:32:34.648205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T21:32:34.648205Z digest=sha256:11e602656fd3e1fe01bb2d9a2a744f481c509d2839c637710386ff2451a211c2

Observation 641164c5-1c3e-464a-b613-aff780119e8f · inbound

Mitigating the barren plateau problem in linear optics cites this paper.

Mitigating the barren plateau problem in linear optics Permanents in linear optical networks

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-05-18T10:26:14.563499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T10:25:00.553103Z digest=sha256:8f3c3838643dfc2c4e29c70af76afa54ab0a9079a7b5a02b67e854769b736dc1

Observation 1ceda6ec-3ae2-4d01-975d-48e7066ad169 · inbound

Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator cites this paper.

Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator Permanents in linear optical networks

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-05-25T05:46:39.632618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-25T05:46:06.969126Z digest=sha256:71c8fa1bdd4a41f11bed2ace5ca6b9a4ca89d28f4c31ef72da5c22ad5e5b0e94

Observation 68ed124b-d84c-4941-869a-c52d84055cda · inbound

Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator cites this paper.

Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator Permanents in linear optical networks

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-06-30T16:14:53.376435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T16:09:54.876685Z digest=sha256:b2509420a14ea8f60b146b0bd82532cbc3b250a9d29d1b43d0b9c895419cb91d

Observation e824bab3-c66a-4bab-81b0-95d3d69fcb96 · inbound

Universal linear manipulation via routing and projective measurements cites this paper.

Universal linear manipulation via routing and projective measurements Permanents in linear optical networks

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T11:57:19.756795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:57:19.756795Z digest=sha256:de504c0a1ba04c996a37e4f71273592901a617686daeeb859985b47505b91863