Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T21:32:34.984760Z
Paper Citation Record · LEDGER
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality
As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2509.08121.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact0
- verified fuzzy18
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a5ec1d49-8082-4f08-b908-af5632576aed · outbound
This paper cites The computational complexity of linear optics.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality The computational complexity of linear optics
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:38.779243Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57d8fff5-4c64-467c-a427-e37291cbe934 · outbound
This paper cites The computational complexity of linear optics.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality The computational complexity of linear optics
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:38.539982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation af629201-b1f2-48bc-a014-566370e57919 · outbound
This paper cites Simply exponential approximation of the permanent of positive semidefinite matrices.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Simply exponential approximation of the permanent of positive semidefinite matrices
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:38.304438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a290f529-04a7-4493-ad7e-a46ad2ee707b · outbound
This paper cites an unresolved cited work.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T21:32:38.049109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e11248ea-c24c-48f2-94ff-cdd06bf3b860 · outbound
This paper cites On approximability of the permanent of psd matrices.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality On approximability of the permanent of psd matrices
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:37.834305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ce326ddb-cc32-41e0-88ef-b3a90a370bfd · outbound
This paper cites Bounds on the permanent and some applications.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Bounds on the permanent and some applications
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:37.651677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b2138339-7203-4ebf-8543-d2f15a263008 · outbound
This paper cites Kräuter, and T.S.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Kräuter, and T.S
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:37.408778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1aa81156-6ec4-4baa-8568-c6dfddecf106 · outbound
This paper cites Computing monomer-dimer systems through matrix permanent.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Computing monomer-dimer systems through matrix permanent
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:37.176869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 25706eb4-f827-4d31-bd3a-b8fed1955eb5 · outbound
This paper cites An upper bound for the permanent of (0,1)-matrices.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality An upper bound for the permanent of (0,1)-matrices
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:37.061242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f3078c59-2dcf-4254-8abc-66ecd054add4 · outbound
This paper cites Inapproximability of positive semidefinite permanents and quantum state tomography.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Inapproximability of positive semidefinite permanents and quantum state tomography
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.978333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ead4898-4f1f-4cfe-8549-f1e5a69ab100 · outbound
This paper cites Upper bounds for permanents of ( \ 0,\,1\ ) -matrices.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Upper bounds for permanents of ( \ 0,\,1\ ) -matrices
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.793489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 409213c2-d91f-4ab2-8e4a-d4d3829194f4 · outbound
This paper cites Permanents.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Permanents
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.642390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ddff1c68-d50f-4328-89de-3207531cf650 · outbound
This paper cites Permanents.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Permanents
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.475579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3f6d609d-46d4-412f-8ba1-a06f1c101cad · outbound
This paper cites Inequalities for the permanent function.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Inequalities for the permanent function
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.332525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 91fb13d3-06e6-43df-9815-4a1c0f0c7355 · outbound
This paper cites An upper bound for permanents of nonnegative matrices.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality An upper bound for permanents of nonnegative matrices
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.186060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 88682cf1-cdef-4da6-938f-346bf0bdb402 · outbound
This paper cites A short proof of minc's conjecture.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality A short proof of minc's conjecture
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:36.010926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 37673a3e-93d6-4286-96c9-9d353687f25c · outbound
This paper cites Counting 1-factors in regular bipartite graphs.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Counting 1-factors in regular bipartite graphs
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:35.840000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a5f25bd1-dfb4-46c6-b030-2bcd24d537d9 · outbound
This paper cites Permanents in linear optical networks.
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.
Observation c179be11-a04a-43bd-9747-14db683df828 · outbound
This paper cites an unresolved cited work.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T21:32:35.684058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ada354ef-6740-4554-8de4-45e20e10edc1 · outbound
This paper cites an unresolved cited work.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T21:32:35.519259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aa35caeb-1f76-4bf2-8989-4c5e46e3ce65 · outbound
This paper cites Random point fields associated with certain fredholm determinants i: fermion, poisson and boson point processes.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Random point fields associated with certain fredholm determinants i: fermion, poisson and boson point processes
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:35.378135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 962bd985-ffad-41ca-874e-e69e1465d714 · outbound
This paper cites an unresolved cited work.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T21:32:35.238091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f05e8d2a-03c2-4998-8832-e81be4ad4e72 · outbound
This paper cites Maximizing products of linear forms, and the permanent of positive semidefinite matrices.
An Algorithmic Upper Bound for Permanents via a Permanental Schur Inequality Maximizing products of linear forms, and the permanent of positive semidefinite matrices
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:32:35.113937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.