Paper Citation Record · LEDGER

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem

As of 8 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2506.08355.

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

pith.paper-citation-record.v1
2506.08355 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:23:13.152645Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy29
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1226def1-266c-49f1-b33e-32917fd94a76 · outbound

This paper cites Bai and R.C.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Bai and R.C

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.644919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87f3fb50-0779-422c-83fb-fd66283d799e · outbound

This paper cites Bai and R.C.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Bai and R.C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.634719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 148e4a48-22a7-4353-9313-195529669fb1 · outbound

This paper cites Bai and R.C.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Bai and R.C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.624580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f1505a21-f297-4bc4-9958-93382d297d9e · outbound

This paper cites Bai, R.C.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Bai, R.C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.614496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca03fb1a-23c9-4ef8-bc6b-a8fc098f1fef · outbound

This paper cites Bao and Y.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Bao and Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.604676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f9eddfd-0b24-425c-a5fb-65efbc49b4e4 · outbound

This paper cites Benner and C.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Benner and C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.594950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb0d54ad-2b19-448c-b53a-47574e7400d7 · outbound

This paper cites Blase, I.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Blase, I

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.585182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21a0ded5-ccea-4ac3-9378-c4f4f2206a19 · outbound

This paper cites Brabec, L.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Brabec, L

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.575098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 25fb04cc-9077-45c2-81d6-2f38e7c80c33 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.564898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1159c19f-0968-4245-b586-aaeda7a4e590 · outbound

This paper cites Gao and Y.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Gao and Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.554867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 192ece1f-c556-4746-819d-ffa08a5a49ab · outbound

This paper cites Giannozzi, S.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Giannozzi, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.544385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4acf4fd0-1603-4db6-8491-f31eb8a868aa · outbound

This paper cites Hernandez, J.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Hernandez, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.534943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 25b119cc-1599-4d8a-ad13-7a15e8c2f108 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.525678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 051fa513-3279-4c56-9b21-f44e930c2a61 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.515710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 397b9a26-c823-4c06-a146-43d8230b4f2b · outbound

This paper cites Kohaupt, Introduction to a Gram-Schmidt-type biorthogonalization method, Rocky Mt.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Kohaupt, Introduction to a Gram-Schmidt-type biorthogonalization method, Rocky Mt

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.505529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8161471-e581-481a-a432-920731378d07 · outbound

This paper cites Kress, Numerical Analysis, Springer Science & Business Media, 2012.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Kress, Numerical Analysis, Springer Science & Business Media, 2012

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.495224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b4a7243e-6d01-455c-a2b1-1afbfca781dd · outbound

This paper cites Lanczos,An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Lanczos,An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.485168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 32305d6e-98ea-43c1-b45a-30232e616a80 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.475104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 328dbec2-6bf4-4bf3-878f-cbcfc77c86c0 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.465715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 97915233-af37-4fb8-9ee6-6260921cf153 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.455600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 891d964a-1730-404b-9448-6bee40343e88 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.445007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3692a782-f270-4330-80c8-f1fe11ab6c8a · outbound

This paper cites Onida, L.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Onida, L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.435533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63db37ea-f0f2-4d06-9c6e-0bd19f49362f · outbound

This paper cites Papakonstantinou, Reduction of the RPA eigenvalue problem and a generalized Cholesky decomposition for real-symmetric matrices, Europhys.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Papakonstantinou, Reduction of the RPA eigenvalue problem and a generalized Cholesky decomposition for real-symmetric matrices, Europhys

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.425730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9a16d70-5108-4085-8387-be75f84f13fe · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.415354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8c43bc57-b9d3-4866-aa30-6e46eef28a57 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.404264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2780dbaa-fdd0-429a-a3a0-389390cab265 · outbound

This paper cites Ring and P.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Ring and P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.393799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 07cc49f9-76a3-4fb0-b2c4-0e9b7bef169c · outbound

This paper cites Rocca, Z.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Rocca, Z

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.383652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1b979337-ce8f-4906-937d-6a37c8521519 · outbound

This paper cites Ruhe , Numerical aspects of Gram-Schmidt orthogonalization of vectors, Linear Algebra Appl., 52(1983), pp.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Ruhe , Numerical aspects of Gram-Schmidt orthogonalization of vectors, Linear Algebra Appl., 52(1983), pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.373356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5dcfcdc7-0ef4-4ba5-8972-c3e117345e9b · outbound

This paper cites Saad, The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems, SIAM J.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Saad, The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems, SIAM J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.362757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4eef98a4-a3aa-45cc-b337-0f8a602b4b66 · outbound

This paper cites Saad, Iterative Methods for Sparse Linear Systems, SIAM, 2003.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Saad, Iterative Methods for Sparse Linear Systems, SIAM, 2003

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:13.098838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a4b46c5-1de9-4b7a-b97b-a35b10f1363b · outbound

This paper cites Saad, Numerical Methods for Large Eigenvalue Problems, J.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Saad, Numerical Methods for Large Eigenvalue Problems, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.345515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 446f9ce0-d723-40c2-a4fb-a10d1151fbfb · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.335820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0d12fb09-0649-45e4-8c3a-d9ad7bda99fc · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.324831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 28da6f2a-4717-4fbf-8ba1-22244349edef · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.314925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b05d788e-9fbd-4b7b-b46c-f8735e00053b · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.304141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 15c21689-559f-42e7-aad3-b9c660f4e1dd · outbound

This paper cites Strinati, Application of the Green’s functions method to the study of the optical properties of semiconductors, Riv.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Strinati, Application of the Green’s functions method to the study of the optical properties of semiconductors, Riv

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.293126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1034ba1-e541-4a88-9a96-3abaec0b7eeb · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.282896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 684046af-428c-43ab-bb56-efeaa2046dd0 · outbound

This paper cites Teng and R.C.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Teng and R.C

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.271967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation efbadf97-c5e2-47a2-84cf-8451fcd4b448 · outbound

This paper cites Teng and L.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Teng and L

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.261890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c28d16a3-f224-49c8-87ef-80f4559661c1 · outbound

This paper cites Teng and L.H.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Teng and L.H

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.251909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fbabedeb-ba44-4777-a03a-796d9fbbbc35 · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.240840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bcc8162d-bded-46a7-85d3-cf3a8d869564 · outbound

This paper cites Thouless, Vibrational states of nuclei in the random phase approximation, Nucl.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Thouless, Vibrational states of nuclei in the random phase approximation, Nucl

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.228999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 611d4b16-c8c9-40ef-986c-ea12c6a7c80d · outbound

This paper cites Thouless, The Quantum Mechanics of Many-Body Systems, Academic, 1972.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Thouless, The Quantum Mechanics of Many-Body Systems, Academic, 1972

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.217944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 117e0c6c-bf76-437a-a27b-dd4aabe918dc · outbound

This paper cites an unresolved cited work.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:13.205443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1271b00-6716-4375-b2f6-cd9d351a91c3 · outbound

This paper cites Vecharynski, J.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Vecharynski, J

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.194524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b5d90599-3bd0-4f49-a89a-f87cf2681f85 · outbound

This paper cites Zhang, Y.

A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem Zhang, Y

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:13.183159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.