Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T19:07:02.270836Z
Paper Citation Record · LEDGER
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields
As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2501.10603.
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 2026-08-20T06:33:59.587034+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
21 of 21 outbound references displayed
- verified exact7
- verified fuzzy8
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e7cbe6de-438e-40fe-8db4-9008f15641c4 · outbound
This paper cites Bhatia, Matrix Analysis, 2nd ed.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Bhatia, Matrix Analysis, 2nd ed
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.866933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 04e9b64e-f860-4b9f-bb99-dc47ff243f8e · outbound
This paper cites an unresolved cited work.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T19:07:02.848041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 008f069e-bc1b-48c3-b0e6-6f15c5f5e7aa · outbound
This paper cites an unresolved cited work.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T19:07:02.825763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c721fd4b-9137-4197-9b90-17df38e23bf5 · outbound
This paper cites an unresolved cited work.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T19:07:02.801402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c1316fa3-f5a3-4785-a2d7-fa04ce5e10a6 · outbound
This paper cites Semidefinite programming,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Semidefinite programming,
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.765245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1083fc10-f547-4b11-8648-201295ded70f · outbound
This paper cites Random Tensor Inequalities and Tail bounds for Bivariate Random Tensor Means, Part I.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Random Tensor Inequalities and Tail bounds for Bivariate Random Tensor Means, Part I
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.567157Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0644261e-3a8f-4555-9cd3-d0a96c5580f8 · outbound
This paper cites Random Multiple Operator Integrals.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Random Multiple Operator Integrals
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.539320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 388c79c8-d632-449d-9648-15f5a52c65c5 · outbound
This paper cites Random Parametrization Double Tensors Integrals and Their Applications.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Random Parametrization Double Tensors Integrals and Their Applications
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.513232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c77c549e-17c0-46cf-898f-20395ff5691e · outbound
This paper cites Random Double Tensors Integrals.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Random Double Tensors Integrals
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.479722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f7fc9ca7-a466-44bb-b88f-3fc1ef991fd1 · outbound
This paper cites Multivariate Mond-Pecaric Method with Applications to Hypercomplex Function Sobolev Embedding.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Multivariate Mond-Pecaric Method with Applications to Hypercomplex Function Sobolev Embedding
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.444424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 093590e6-8ebd-4b46-9623-c2bed6a31ed3 · outbound
This paper cites Generalized Converses of Operator Jensens Inequalities with Applications to Hypercomplex Function Approximations and Bounds Algebra.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Generalized Converses of Operator Jensens Inequalities with Applications to Hypercomplex Function Approximations and Bounds Algebra
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.410132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e43d115d-7317-4af3-a5c5-8a76769e1e9f · outbound
This paper cites Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:07:02.367904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 293ad992-9986-435b-b161-4eb5fc85728a · outbound
This paper cites Exceptional topology of non-hermitian systems,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Exceptional topology of non-hermitian systems,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.745492Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2ad0f00f-c2d6-4b97-a3ab-818c986e4f52 · outbound
This paper cites an unresolved cited work.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T19:07:02.725178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c6781fe3-6950-482c-9a4a-65eb962fc7cc · outbound
This paper cites Topological phases of non-hermitian systems,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Topological phases of non-hermitian systems,
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.705248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f7b35d68-e9a0-4700-9304-602792b1aca7 · outbound
This paper cites Non-hermitian physics,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Non-hermitian physics,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.668077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2f09d47c-c74a-4656-b592-68cab27ab314 · outbound
This paper cites an unresolved cited work.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Unresolved cited work
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:07:02.246485Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aab5423c-6348-4768-b083-3389c33a9c3e · outbound
This paper cites A simple proof of the Jordan decomposition theorem for matrices,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields A simple proof of the Jordan decomposition theorem for matrices,
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.626554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f9e4c913-68f7-4bc2-a417-2f1454b891ee · outbound
This paper cites Operator Characterization via Projectors and Nilpotents.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Operator Characterization via Projectors and Nilpotents
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:07:02.257226Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b237f60f-ff72-4fbe-873d-61513367f952 · outbound
This paper cites Jensen’s operator inequality,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Jensen’s operator inequality,
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.606652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1382eedf-b0f0-4ac0-bcbe-ab6b2b6ccc10 · outbound
This paper cites Matrix analysis: matrix monotone functions, matrix means, and majorization,.
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields Matrix analysis: matrix monotone functions, matrix means, and majorization,
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:07:02.588009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.