Paper Citation Record · LEDGER

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2412.09400.

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

pith.paper-citation-record.v1
2412.09400 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:11:52.369750Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:39:01.547366Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:39:02.331064Z

Reference resolution

25 of 25 outbound references displayed

verified exact1
verified fuzzy14
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba2e5458-208a-4e34-b27e-5c67b3d282fc · outbound

This paper cites Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:11:52.447164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c51eec5-5726-43af-b208-4904af57ff01 · outbound

This paper cites Bachmayr.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Bachmayr

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.714874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f2cba51c-0ce7-44ee-8d7f-d4346f952979 · outbound

This paper cites Bachmayr and R.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Bachmayr and R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.702778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec8f8b5c-48c2-44ef-a8b1-b8ecadea4e24 · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.690434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1571a802-badd-4fe2-bd54-0730f473f231 · outbound

This paper cites Ceruti, L.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Ceruti, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.678475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 54b2226f-f5a6-4476-8a6d-f475b5eeca29 · outbound

This paper cites Ceruti, J.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Ceruti, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.666356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation da6c0bc4-69c0-4054-98f0-6f74b41fec64 · outbound

This paper cites Ceruti and C.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Ceruti and C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.653938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9abbef52-223b-4de8-b647-fa49f9651db6 · outbound

This paper cites Christlieb, B.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Christlieb, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.641244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 008ab594-b63e-49fe-9d85-38f8652aecce · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.628038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 93be7fbc-83f9-4d9e-89a9-9e10f810178a · outbound

This paper cites El Kahza, W.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations El Kahza, W

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.614236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 05a4efc7-a16d-4d6c-a6ef-e4477be1a988 · outbound

This paper cites Grasedyck, D.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Grasedyck, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.602932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6c479934-7b2d-46e9-82a5-d620112a4d5f · outbound

This paper cites Hackbusch.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Hackbusch

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.590620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0303f3fd-14bf-42a6-b5cb-36a521262d7e · outbound

This paper cites Hagstrom and R.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Hagstrom and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.577746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2c8ca212-fc28-46b0-b60f-38e89b8c5614 · outbound

This paper cites Hiriart-Urruty and C.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Hiriart-Urruty and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.563056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 194b5f55-c5ed-4620-8da9-74f592612b45 · outbound

This paper cites Huang, J.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Huang, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.550175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67e81697-21ec-4dbd-94d1-9582baf42233 · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.538611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 054eb74d-303d-421e-b2fc-c28fedcfa904 · outbound

This paper cites Kieri, C.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Kieri, C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.526572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6e00be2d-5eb0-4bb9-8cb9-ec4e9f4e883c · outbound

This paper cites Koch and C.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Koch and C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:11:52.512892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 97ee0267-2b37-443e-b4d2-3d7e63e43ad7 · outbound

This paper cites Randomized low-rank Runge-Kutta methods.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Randomized low-rank Runge-Kutta methods

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T17:11:52.346508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42fe29bc-7c27-42a4-866b-1cd3b27ddb37 · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.498691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3076a1fa-860c-423b-a297-a93ec3edb9bb · outbound

This paper cites Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T17:11:52.354557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5c698eb-6932-4652-881a-7b6c75988349 · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.485737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e3ea8475-443f-46a6-9b5d-969fdd07bd6f · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.471818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a19af20-5a18-431a-b608-0dc1aab0efa8 · outbound

This paper cites Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T17:11:52.366088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd8f43ff-f74a-4361-b4e9-73a7303776d1 · outbound

This paper cites an unresolved cited work.

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:11:52.459671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 9613f1f8-75be-48d5-9420-045ef3c0d691 · inbound

Iterative thresholding low-rank time integration cites this paper.

Iterative thresholding low-rank time integration High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:39:02.419632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.