Paper Citation Record · LEDGER

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem

As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2505.21917.

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

pith.paper-citation-record.v1
2505.21917 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:30:24.159358Z

measured 44 of 44 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

44 of 44 outbound references displayed

verified exact0
verified fuzzy20
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00ea817f-b7c2-4d42-ba1d-4f0576c73cdb · outbound

This paper cites Aizenman, R.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Aizenman, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:33.732056Z

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 d0700a8e-9e5a-4093-be33-8eb42cb4d4f8 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:33.569945Z

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 27ced82f-7f69-4354-acc4-f8a15b313eb1 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:33.368540Z

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 9ca85ffb-be69-4ff3-8c86-555e0b92b24b · outbound

This paper cites Ballard, J.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Ballard, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:33.155902Z

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 5940ceb5-c926-44d7-bad1-763496b993a8 · outbound

This paper cites A Generalized Randomized Rank-Revealing Factorization.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem A Generalized Randomized Rank-Revealing Factorization

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:20.161578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcdf851b-22f0-4bee-bbc4-636d3156a777 · outbound

This paper cites Banks, J.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Banks, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.924213Z

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 54ee9693-f73b-4f05-bc0d-d5d28e66284d · outbound

This paper cites Banks, A.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Banks, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.673820Z

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 6832edf7-ed94-48ff-bc6e-9b65a76af8bc · outbound

This paper cites Beavers and E.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Beavers and E

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.466689Z

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 40d9dca7-fd17-4db6-974e-28a227126b3a · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:32.276513Z

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 c04f1e28-6138-467d-a3ba-8423fc39eb93 · outbound

This paper cites Bunse-Gerstner.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Bunse-Gerstner

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.055291Z

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 569a7e25-3c03-4d1d-9b57-6a96430130a6 · outbound

This paper cites Chandrasekaran.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Chandrasekaran

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:31.876436Z

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 bfdd63ce-7b71-4ae4-b71a-71bfd2e862ff · outbound

This paper cites Collins, P.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Collins, P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:31.584758Z

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 7526adce-4e9c-4d5f-a298-9051fc3ff614 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:31.386553Z

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 7ab6ed77-517e-4f83-89fd-952f181ebc4f · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:31.214286Z

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 f98d3a41-c97a-4894-89f8-2adc737cca2e · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:31.002656Z

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 896346fb-4e69-4e38-b6e3-d4a04a16b9c5 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:30.895796Z

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 21bd616e-4d13-4229-adfe-b1fa10ea5a48 · outbound

This paper cites Demmel, I.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Demmel, I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.673195Z

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 999b1d86-ebe5-42aa-84a4-31e808cb7a89 · outbound

This paper cites Demmel, I.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Demmel, I

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:21.690545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc2cef7f-ac33-4155-a8d7-e89fd6ceb799 · outbound

This paper cites Demmel, I.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Demmel, I

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.490536Z

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 6861f3c0-eb83-4ef3-84e0-edd7872da9e9 · outbound

This paper cites Elsner and J.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Elsner and J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.323544Z

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 3abd888c-b6a0-4973-9f58-16c026c0af6b · outbound

This paper cites Ford and G.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Ford and G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.196624Z

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 0a617aa4-1d16-4688-9331-33fb5d55acff · outbound

This paper cites Graillat.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Graillat

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.984205Z

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 d6f81036-c188-459e-8042-3bf5dde6f427 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:29.837565Z

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 12e1d74f-c96b-4e2c-889d-514692a02c69 · outbound

This paper cites Kressner, D.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Kressner, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.650003Z

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 3eb4b243-8b76-4470-8617-a106675385fc · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:29.513304Z

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 97eacb21-171a-4fa1-af74-a7713df959f4 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:29.296788Z

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 65f9a7e5-41d4-4773-81b7-75cccc319370 · outbound

This paper cites Mangasarian and E.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Mangasarian and E

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.104262Z

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 1678a81a-1a69-4cf6-bd59-c29774c3edcc · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:28.925826Z

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 3794ae30-4edc-4ea1-9d46-2aa43098602e · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:28.814902Z

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 d3307210-9d69-438f-ba51-18aaa67f2de7 · outbound

This paper cites Nakatsukasa, Z.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Nakatsukasa, Z

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:28.690463Z

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 eca45938-93e7-45d2-ae79-a739b99dd1a4 · outbound

This paper cites Schneider.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Schneider

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:28.533841Z

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 41796aa0-34e4-4cec-a5ee-80228fdd8d24 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:28.120789Z

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 ff5d9c33-d089-4fa7-986b-cf5600389152 · outbound

This paper cites Sparse Pseudospectral Shattering.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Sparse Pseudospectral Shattering

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:23.215703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfae8a66-4afd-48d0-a875-56798f208cd1 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:27.854744Z

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 605529a0-0bed-4a15-aacf-4835b7931ee6 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:27.472999Z

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 0cae37f5-62be-49fd-94e1-a36d33b9c84c · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:27.194751Z

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 79a53913-416c-4afd-afc4-16550906c283 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:26.894911Z

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 7114f1ea-927a-4615-a380-5f0c1b2e3a4c · outbound

This paper cites Veseli´ c.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Veseli´ c

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:26.431427Z

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 af5e365f-3d1b-4dcf-b05b-a02fb857b2f8 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:26.184770Z

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 f83e0e78-91cb-47cc-aca5-039528c8b17a · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:25.934897Z

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 fe7767cd-64b0-4c0b-9001-4e75eb7f9f30 · outbound

This paper cites The eigenvalues of ( A, B) to the right of gi correspond to eigenvalues of ( A, B) in the right half plane.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem The eigenvalues of ( A, B) to the right of gi correspond to eigenvalues of ( A, B) in the right half plane

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:25.635437Z

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 1aed1006-2385-4dd0-81ee-8c0208dd2c14 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:25.105019Z

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 33230343-315d-467c-8ba4-3956a93a3881 · outbound

This paper cites an unresolved cited work.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:24.834841Z

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 12ed2196-605f-40af-9c2e-c05f3d958543 · outbound

This paper cites This is a simple consequence of the fact that 1 2 (sign(A) − I) is a projector onto eigenvectors of A associated to the left half plane.

Structured Divide-and-Conquer for the Definite Generalized Eigenvalue Problem This is a simple consequence of the fact that 1 2 (sign(A) − I) is a projector onto eigenvectors of A associated to the left half plane

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:24.614899Z

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.