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Paper Citation Record · LEDGER

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm

As of 24 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.23613.

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

pith.paper-citation-record.v1
2507.23613 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:38:44.353872Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4668ca98-d8a7-4a83-a06f-77734f3dd706 · outbound

This paper cites Bayliss, C.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Bayliss, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:46.956195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:42.818203Z digest=sha256:e0a7fcffa8c9bad465fbb40f6dd4950f41daecdd9c60363302bf5d3a2b64589b

Observation ebeeaeb6-43d5-43a5-9217-fa400fee98f0 · outbound

This paper cites Ihlenburg, I.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Ihlenburg, I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:46.711571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:42.887106Z digest=sha256:162424d9fb4cc4e69ae99639173d8136a6fc0763a09ec8202b805bfff30d0257

Observation 0b9bee60-8ece-428c-be85-29544e737f41 · outbound

This paper cites Appel¨ o, J.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Appel¨ o, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:46.524869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:42.991157Z digest=sha256:14f90c8cbc3e9bb0fe5878c9972aaa077da1b26a7e5b57dd9add4d42f0bfb64d

Observation c4a9eb62-8dbe-4921-ba47-a766f3bc17b0 · outbound

This paper cites Ernst, M.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Ernst, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:46.348813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.071664Z digest=sha256:9ed76fb27347c36cc3c616a118c66b17be1f953242c80e36c7e7e32f88c1cbea

Observation 2f3a0b43-6f07-46af-ba20-d230ac8d0e85 · outbound

This paper cites Erlangga, Advances in iterative methods and preconditioners for the Helmholtz equation, Archives of Computational Methods in Engineering 15 (1) (2008) 37–66.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Erlangga, Advances in iterative methods and preconditioners for the Helmholtz equation, Archives of Computational Methods in Engineering 15 (1) (2008) 37–66

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:46.166061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.177297Z digest=sha256:2d0e34663ddc6587e7f67b0a1e8ac946f2007cc20164df187bc42d6f6eb7bf60

Observation 0006827c-b6f6-478f-8a04-5b97dc1c4c92 · outbound

This paper cites Lahaye, J.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Lahaye, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:46.021111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.290914Z digest=sha256:292782c3be38316bf564f1159fb12ef19ed37e932afdd6ae6fdbe93726c1c6ec

Observation 90bcfe4b-7874-45b7-b0cf-ec6c9689e37c · outbound

This paper cites Appel¨ o, F.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Appel¨ o, F

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:45.847333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.396243Z digest=sha256:2a48b8fce20ca652ade95ea18a3314c3ca530e44e2e65ce6bc3e141d3d7a6473

Observation 20dc917d-ae69-485f-9972-460bfb866774 · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:38:45.653519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.491590Z digest=sha256:11531929fef483e5cb81f12886735882210b587e0cbbea552049c6d6b64e9e3e

Observation 6c1c6a40-0074-4ce6-a0ad-797913cce9d1 · outbound

This paper cites Appel¨ o, F.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Appel¨ o, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:45.531735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.561198Z digest=sha256:4f01b2d59b317f4660d6bd233fcf1b81fd009fd100b3916c71351734aa282c9d

Observation abdc45ec-9ed1-41f1-8f6e-c48f1da9da27 · outbound

This paper cites Rotem, O.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Rotem, O

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T10:38:43.642940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:38:43.642940Z digest=sha256:6701aab8135b662d690ef7953dde3c02f1f24cba5e59766bf0b3f08a90ce77a4

Observation a6a62de0-dc0f-4c37-b56e-71c96c0ca1c4 · outbound

This paper cites Appel¨ o, J.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Appel¨ o, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:38:45.400937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.750964Z digest=sha256:9039f8a9ec823da5017534ecfe9690957dc25f8d6c57654194bb353954b5b018

Observation 14fa7393-4325-4901-9c69-2c8ccdfe9fe9 · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:38:45.206456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:43.855346Z digest=sha256:e872c9a630747b7d6ef4bef5fec9ec6de12257006d6fef119f48837fca743830

Observation d7e9ba46-f06d-4856-b682-c600f05530d7 · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T10:38:43.968225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:38:43.968225Z digest=sha256:eb53305ff270d21e458d14787800dd377d68db05aab79be813feebdde54af7b9

Observation e59e6f3a-4d00-4284-968d-eae2e6423cbd · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T10:38:44.028262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:38:44.028262Z digest=sha256:747b5f9ff758b53ed4f906104a1dfa3401fed4c7ce6eeb613335cae551b60e48

Observation d555867e-2882-47d1-b62a-b792b1e246c2 · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:38:45.006613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:44.129104Z digest=sha256:fd2a7ed1b416ff428f401ca1fa7c9b3858a1a8c70996a08c890bb417eca37124

Observation 51dd3b32-cc1d-4a9e-9204-dcfe4f861817 · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:38:44.802372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:44.251145Z digest=sha256:33dda50c6ec5ca85015084d2869d96f1c59da08ce9432a4d72efa5341da033ad

Observation e5516564-9721-4bc7-ba6a-e82489f23ff8 · outbound

This paper cites an unresolved cited work.

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:38:44.634587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T10:38:44.353872Z digest=sha256:b7e5a38031e0b3d18063f1a4e8693aa990b004d47ca369da4b78980e1ac99c26

Pith citing papers

No inbound Pith citation observations are available.