Paper Citation Record · LEDGER

Multiprecision computations with Schwarz methods

As of 21 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2509.20937.

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

pith.paper-citation-record.v1
2509.20937 v3

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:53:55.457941Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

50 of 50 outbound references displayed

verified exact0
verified fuzzy27
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 673bfb12-936d-4288-a309-de59b6a3222f · outbound

This paper cites doi: 10.1109/IEEESTD.2019.8766229.

Multiprecision computations with Schwarz methods doi: 10.1109/IEEESTD.2019.8766229

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T15:53:55.196779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5c3969d-0cee-42f9-87d9-69b1ea2e3641 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.386074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2e171ba0-4f47-4342-9198-d92bcfe17db3 · outbound

This paper cites Benzi, A.

Multiprecision computations with Schwarz methods Benzi, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.369855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 26544318-f640-4a75-893b-4483368fb6ad · outbound

This paper cites Berman and R.

Multiprecision computations with Schwarz methods Berman and R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.354099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 97f9f6b5-2f7a-452d-bf1f-96b25dec8856 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.337777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d7d3bb09-dab3-4e20-ba76-80c86a4d9e60 · outbound

This paper cites Buttari, N.

Multiprecision computations with Schwarz methods Buttari, N

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.322023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d9c6f0a2-d07b-44ef-8eaa-a0a987745f30 · outbound

This paper cites Cai and M.

Multiprecision computations with Schwarz methods Cai and M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.306622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b10a68eb-cf18-47b2-b917-211b83bfd774 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.291190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9507b02-b726-4775-905a-a7ea579a8b8c · outbound

This paper cites pychop: Emulating Low-Precision Arithmetic in Numerical Methods and Neural Networks.

Multiprecision computations with Schwarz methods pychop: Emulating Low-Precision Arithmetic in Numerical Methods and Neural Networks

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T15:53:55.238303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3aee829-1643-4293-9924-537dc4f6b97f · outbound

This paper cites Carson and N.

Multiprecision computations with Schwarz methods Carson and N

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.275776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 184a162a-f34f-4e31-a834-329416732462 · outbound

This paper cites Cuvelier, M.

Multiprecision computations with Schwarz methods Cuvelier, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.258386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 69ae73a3-aa6d-4275-8879-51620dfb8092 · outbound

This paper cites Dolean, M.

Multiprecision computations with Schwarz methods Dolean, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.241409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ea920b2d-48e7-43b6-8b3b-376b92ca323c · outbound

This paper cites Dolean, M.

Multiprecision computations with Schwarz methods Dolean, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.224625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f98551d4-1f69-497e-bcbb-fa919a4e449e · outbound

This paper cites SIAM, Philadelphia, 2015.

Multiprecision computations with Schwarz methods SIAM, Philadelphia, 2015

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.207250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3bbe49d6-083c-485e-994d-9f8c454cb345 · outbound

This paper cites Efstathiou and M.

Multiprecision computations with Schwarz methods Efstathiou and M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.190784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8863d6a1-2335-4905-ad82-ced1a5cd60bb · outbound

This paper cites How Descriptive are GMRES Convergence Bounds?.

Multiprecision computations with Schwarz methods How Descriptive are GMRES Convergence Bounds?

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T15:53:55.274220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cea98adc-7e9a-427e-9ba1-f70d99df2245 · outbound

This paper cites Frommer and D.

Multiprecision computations with Schwarz methods Frommer and D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.173267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7f6cf205-e110-4b5d-acc5-0ba5fe77e393 · outbound

This paper cites Frommer and D.

Multiprecision computations with Schwarz methods Frommer and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.155536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90a04c51-b201-4550-a73d-cdd146d1c962 · outbound

This paper cites Frommer and D.

Multiprecision computations with Schwarz methods Frommer and D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.138524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5ee50c0d-6993-46c4-b1f0-57384098713d · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.120452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23b242c5-7a02-4b11-a6fc-acccc195049c · outbound

This paper cites Schwarzmethodsoverthecourseoftime.Electronical Transactions on Numerical Analysis, 31:228–255, 2008.

Multiprecision computations with Schwarz methods Schwarzmethodsoverthecourseoftime.Electronical Transactions on Numerical Analysis, 31:228–255, 2008

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.104057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50040ca9-e35c-44f5-909c-d679b47416e8 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.087806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8ef1f0c5-4364-4db0-8126-d04f9177a07d · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.067715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 85c4897c-bb3c-42ff-aba7-620a27f5b5ed · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.051483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fd0bde29-47b5-4875-b5ba-68e973659252 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.036261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e87d7c9d-211e-4ea9-b789-2362671419eb · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:56.020349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4b72900a-585b-41b6-aea0-91c60e0a8592 · outbound

This paper cites Giraud, A.

Multiprecision computations with Schwarz methods Giraud, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:56.005299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b888e13c-7bdc-4c46-a722-f5ab86599f65 · outbound

This paper cites Glusa, E.

Multiprecision computations with Schwarz methods Glusa, E

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.987770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 740bc1f4-e871-4c10-a2dd-ad87f6cfb251 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.970911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58c954e7-baea-43d4-bced-a4dafa583a66 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.952702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3c778c2d-47be-4ee9-a824-3c4b82ad5843 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.935540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 07afe93f-b5a8-4a9a-a4ea-77a091b214f3 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.917953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c4926a9d-13f8-4821-8b1b-4feeaf35c1d0 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.900380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1bebfe0d-aaed-4f32-9658-a6754ee7bc9b · outbound

This paper cites Liesen and Z.

Multiprecision computations with Schwarz methods Liesen and Z

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.881932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ee5ba1cc-5417-4a2f-a14e-8dbd0217c814 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.864788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e3b33264-d488-4602-9169-ca2cf4e53f7b · outbound

This paper cites Magoulès, D.

Multiprecision computations with Schwarz methods Magoulès, D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.846300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 06ca129f-b386-4971-bc2f-a63f51ccba6a · outbound

This paper cites Advanpix LLC., Yokohama, Japan.

Multiprecision computations with Schwarz methods Advanpix LLC., Yokohama, Japan

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.829335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29e4dff3-40a3-4a6a-8ad6-a5727f911f5c · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.811883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 08b77141-cc83-46cd-92cb-d67183017a88 · outbound

This paper cites Ozaki, T.

Multiprecision computations with Schwarz methods Ozaki, T

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.793628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86ac158c-5408-4c37-8703-7a1be9caa6e8 · outbound

This paper cites Ozaki, T.

Multiprecision computations with Schwarz methods Ozaki, T

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.774631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d586864b-a52a-4a98-8eac-032705d521e6 · outbound

This paper cites Ozaki Scheme II: A GEMM-oriented emulation of floating-point matrix multiplication using an integer modular technique.

Multiprecision computations with Schwarz methods Ozaki Scheme II: A GEMM-oriented emulation of floating-point matrix multiplication using an integer modular technique

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T15:53:55.410301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15a8493b-7546-4f23-99c1-32282eda8744 · outbound

This paper cites Saad.Iterative Methods for Sparse Linear Systems.

Multiprecision computations with Schwarz methods Saad.Iterative Methods for Sparse Linear Systems

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.757671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09859ba6-52bd-45bd-b0f8-69ab44faa4b3 · outbound

This paper cites Sarkis and M.

Multiprecision computations with Schwarz methods Sarkis and M

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.739216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4c128560-1cd7-4802-9c1f-8f1cc9eac07e · outbound

This paper cites Schneck, M.

Multiprecision computations with Schwarz methods Schneck, M

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.721659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation caf43aaf-7137-426f-b45a-9d57ae32f74d · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.704073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 619aa394-856f-4551-a1b2-54ba56656bd6 · outbound

This paper cites Smith, Petter E.

Multiprecision computations with Schwarz methods Smith, Petter E

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.685627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e211aa6c-3781-456e-b6d0-2af24bafd3f2 · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.667303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 933d4e56-8c5a-4425-a11a-15b0e6d74e53 · outbound

This paper cites Springer, Berlin, Heidelberg, New York, 2005.

Multiprecision computations with Schwarz methods Springer, Berlin, Heidelberg, New York, 2005

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.651096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62795970-6afc-47fb-b1d8-841fbb70883e · outbound

This paper cites an unresolved cited work.

Multiprecision computations with Schwarz methods Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:53:55.634382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b7f8084c-e4b4-4998-b297-ecdb35ecdf67 · outbound

This paper cites Widlund and M.

Multiprecision computations with Schwarz methods Widlund and M

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:53:55.615278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.