Paper Citation Record · LEDGER

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material

As of 20 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2501.03377.

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

pith.paper-citation-record.v1
2501.03377 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:01:42.310541Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

31 of 31 outbound references displayed

verified exact22
verified fuzzy4
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c3f0f8a7-ae73-4db2-ac4a-355db9673ba5 · outbound

This paper cites Ben-Israel, T.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Ben-Israel, T

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:44.077103Z

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 db8306d0-5019-4cac-88da-e15a3384a825 · outbound

This paper cites Eckart–Young.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Eckart–Young

Reference 2

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.989908Z

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 d1c7a05e-0415-4268-beeb-4c1bdd876476 · outbound

This paper cites Eckart, G.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Eckart, G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:01:44.176052Z

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 d5170fee-6a53-430d-8851-a76cff3bb185 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T22:01:42.199179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85a93de1-5c14-46cc-9581-dbf3d070adf9 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:01:44.162830Z

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 67cf1f34-241c-4ba3-bbb7-9bd040757bbe · outbound

This paper cites Fiedler: Special matrices and their applications in numerical mathematics (2nd ed.), Dover Publications, Dover, 2008.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Fiedler: Special matrices and their applications in numerical mathematics (2nd ed.), Dover Publications, Dover, 2008

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.822553Z

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 dd6d1161-363a-47c4-b902-b45204e80a1d · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.750756Z

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 329e3806-30c1-4b80-93cc-770b106ba399 · outbound

This paper cites explanatory.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material explanatory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:01:44.149267Z

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 fc93aca2-7e37-4185-a825-e12d2153f347 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.663193Z

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 e20db233-4561-4149-a8e4-c54775594fb3 · outbound

This paper cites Kol´ arov´ a: Spectral properties of discretized Laplace operator (in Czech), Diploma the- sis, Technical University of Liberec, 2024.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Kol´ arov´ a: Spectral properties of discretized Laplace operator (in Czech), Diploma the- sis, Technical University of Liberec, 2024

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:01:44.134454Z

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 d83f097c-1efc-4b3b-873c-f8b7baa84dee · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.573725Z

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 61e8ce87-284b-44a5-8b70-7d65c56cb28b · outbound

This paper cites Kressner, M.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Kressner, M

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.472979Z

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 667b64f5-0ba0-4638-b1f9-1a4aa4b221d5 · outbound

This paper cites Liesen, Z.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Liesen, Z

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.379983Z

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 6a33526a-b919-41fa-a8ef-227f878a6812 · outbound

This paper cites M´ alek, Z.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material M´ alek, Z

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.293831Z

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 bf98089a-f3d4-439c-aa8d-cdf20ae616e6 · outbound

This paper cites Marton, M.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Marton, M

Reference 15

Resolution: verified exact; doi, observed 2026-08-10T22:01:42.400579Z

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 d7296679-d91c-4ae7-80ed-c1cdbbf89211 · outbound

This paper cites Marton, J.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Marton, J

Reference 16

Resolution: verified exact; doi, observed 2026-08-10T22:01:42.386089Z

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 0d7a4888-b0b9-4639-b61c-323035dc6c38 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.188123Z

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 e7ddf249-83bf-4900-9074-1280dd36278d · outbound

This paper cites Meurant : The Lanczos and conjugate gradient algorithms: From theory to finite pre- cision computations, SIAM Software, Environments, and Tools 19, Philadelphia, 2006.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Meurant : The Lanczos and conjugate gradient algorithms: From theory to finite pre- cision computations, SIAM Software, Environments, and Tools 19, Philadelphia, 2006

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.110533Z

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 f1177476-2f0f-47bc-86d8-d44da2052b62 · outbound

This paper cites Meurant, J.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Meurant, J

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:43.034628Z

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 812778d7-5c0d-4dff-99b0-f1694b2ae0a4 · outbound

This paper cites Meurant, P.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Meurant, P

Reference 20

Resolution: verified exact; doi, observed 2026-08-10T22:01:42.371988Z

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 8e56e864-1cb1-467b-8ee9-ebe2de382d6c · outbound

This paper cites Mirsky : Symmetric gauge functions and unitarily invariant norms, The Quarterly Jour- nal of Mathematics, Oxford Second Series, 11 (1960), pp.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Mirsky : Symmetric gauge functions and unitarily invariant norms, The Quarterly Jour- nal of Mathematics, Oxford Second Series, 11 (1960), pp

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:42.935882Z

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 a02dd504-ecb1-46dd-935f-7c2881704350 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:42.863843Z

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 ecc4157a-a0ec-4c87-bff6-d96c35eea3d7 · outbound

This paper cites Saad : Numerical methods for large eigenvalue problems (revised ed.) SIAM Classics in Applied Mathematics 66, Phildelphia, 2011.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Saad : Numerical methods for large eigenvalue problems (revised ed.) SIAM Classics in Applied Mathematics 66, Phildelphia, 2011

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:42.778242Z

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 280ad384-f2fd-406c-892b-66509023f24e · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:01:44.118976Z

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 c09a7822-a89f-407f-96e5-6cfcb0485875 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:01:44.104517Z

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 73d3311e-26f3-461a-9147-fa1b138d792a · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T22:01:42.289324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a52040a-c5d2-4bb3-94ed-a4253956bce2 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:42.706986Z

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 205f9d44-5924-4d72-a5a7-0c1bec219e4d · outbound

This paper cites Ullmann : A Kronecker product preconditioner for stochastic Galerkin finite element dis- cretization, SIAM Journal on Scientific Computing, 32 (2010), pp.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Ullmann : A Kronecker product preconditioner for stochastic Galerkin finite element dis- cretization, SIAM Journal on Scientific Computing, 32 (2010), pp

Reference 28

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:42.620274Z

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 7fd95224-8098-4e2c-ab89-ec4a18a8d50a · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 29

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:01:42.533940Z

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 fbb56b6e-7024-4d6e-ba69-6acb54f7a273 · outbound

This paper cites an unresolved cited work.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-08-10T22:01:42.347219Z

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 54f30b82-9eda-461e-97a1-a006f197af5e · outbound

This paper cites URL https://www.intel.com/content/www/ us/en/developer/tools/oneapi/onemkl.html.

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material URL https://www.intel.com/content/www/ us/en/developer/tools/oneapi/onemkl.html

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:01:44.090876Z

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.