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Paper Citation Record · LEDGER

LR-WaveHoltz: A Low-Rank Helmholtz Solver

As of 10 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2510.09352.

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

pith.paper-citation-record.v1
2510.09352 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:39:53.878146Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T15:44:11.686133Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T02:47:37.229884Z

Reference resolution

37 of 37 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved37
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0805f082-6d7e-45ec-9a0f-c39e4c07b387 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:49.896982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:49.896982Z digest=sha256:8b23252a9515680f290538a6ebc184121c83433f1d0a07116c7ce878d6f8604d

Observation 8b416e3b-c64c-4dac-a70b-5740dadda3ea · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 2

Resolution
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no resolver link, observed 2026-08-04T10:39:49.993054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:49.993054Z digest=sha256:8a250b72a333bdf247d1dd250a2b6ddd052b6833faa47273e10f41756b242514

Observation d46956ea-bb91-46fe-a069-3fd1da08154b · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.078703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.078703Z digest=sha256:bcbec0f2a13a827efba6f77e348aa94789fac2011bb8b941097de19f989b882b

Observation 07c641d8-420c-49b9-a165-78e400337ec3 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.180593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.180593Z digest=sha256:2d69b5a8f89d5e029a87ce3645b6a61b7dd03f49e5722852722ab787bdfd55a7

Observation f8ab0ef0-6dea-49b0-8271-891f4a0eb41d · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.270134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.270134Z digest=sha256:98dc616003fb9c10acf0ef6807146fc7704c7292665594130ea2e17da42ca59f

Observation cb44f91f-2ad3-4dd9-8ea2-b385f23dd5a4 · outbound

This paper cites Kreiss, J.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Kreiss, J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.412173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.412173Z digest=sha256:24f977faca242e28347f4b460e66c0d7597feff2954735e4111dfa5820ccf585

Observation a5c0ee97-9182-4c1f-a711-0ce1bdca0a09 · outbound

This paper cites Hagstrom, G.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Hagstrom, G

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.512837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.512837Z digest=sha256:8f2d2a7d4d93db28f1f15672c9c7f303040f128c5b978edd94e469a5c92c628d

Observation dd53ca30-6ab2-46f3-bf7f-5754420e5add · outbound

This paper cites Appel¨ o, F.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Appel¨ o, F

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.624743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.624743Z digest=sha256:d80e2b2ae6ff19429f525b0a505a4e7d442c365f539983f55b5e94c444bbfa66

Observation dc4e8764-0052-4f60-8e7a-a868d22a572f · outbound

This paper cites Appel¨ o, F.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Appel¨ o, F

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.748254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.748254Z digest=sha256:af64071090d93f02bfbb0b056ab6f1f951439e6fa679d360d31626007bd9db00

Observation c22dc4e6-27d3-44c1-bc91-a8cfaabc2f55 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.849065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.849065Z digest=sha256:ceb8582a3c904351ffbc86be4b42840a8bfa58a3d1bef8a1f1280f1a20b135bc

Observation fa888ba9-76a8-4ee5-bc83-cc35e761d944 · outbound

This paper cites Kreiss, G.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Kreiss, G

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:50.949758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:50.949758Z digest=sha256:0c61f40bc4ff593fd9fb4011d069e1a793c572018056928d7b089fa778a40ea0

Observation 5b5a8df8-348f-4c2c-a215-80187f983185 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.069359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.069359Z digest=sha256:9a6d374112754f308c1c8b236aba8b0159fc994dead3b0d2f8200c89c47dfddd

Observation 044a7430-1ff9-49eb-bc62-46aa9419e2a1 · outbound

This paper cites Mattsson, F.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Mattsson, F

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.219478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.219478Z digest=sha256:de073c6f42e61869b7f81fc77c9f17c4b4800761216e46dfac9075f351ce3143

Observation 00ec104b-e675-4122-8153-303fd7ba2561 · outbound

This paper cites Mattsson, F.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Mattsson, F

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.364379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.364379Z digest=sha256:2e9f9fd79e19e30b1feefce6cb96e7ead4a56b82974888dc7be6f3f2ed77420f

Observation 35ee22d0-1638-4a24-a57e-ce04f47aaeb7 · outbound

This paper cites Bachmayr, Low-rank tensor methods for partial differe ntial equations, Acta Numerica 32 (2023) 1–121.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Bachmayr, Low-rank tensor methods for partial differe ntial equations, Acta Numerica 32 (2023) 1–121

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.448193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.448193Z digest=sha256:d5865442b395a7a9da10c825211b05006f6725785c55a259a8ab6c5f2340b1f1

Observation 45ef3e8a-fb12-46c3-b876-0f8d40f2bf11 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.557816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.557816Z digest=sha256:3fcc602dbb9266f951d4a26add152a89b52ad4ffd4481a39ac931f7580d51000

Observation 60e28858-89ab-48e2-9e28-d5cf29dd1919 · outbound

This paper cites Dektor, A.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Dektor, A

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.674177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.674177Z digest=sha256:443eb47dde83de4eb98ddf9dd559a0f07f4c481a649c698c321d460fe7637152

Observation 5cd4869b-62c2-481e-b3e6-6ce76ac0b8c1 · outbound

This paper cites Appel¨ o, Y.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Appel¨ o, Y

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.808093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.808093Z digest=sha256:6ae6a897fd5b604f7662a058bfc038d1d8e7b17685dd9ac8437abf11197373a8

Observation 02dfd6c3-dc17-4e2c-b49d-804bff15962d · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:51.964741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:51.964741Z digest=sha256:dfe2733d48ab45b0d69059706746906adf75b60661ebedadd386a5f44481e008

Observation 99901d1b-2731-494b-8044-93215795b036 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.088336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.088336Z digest=sha256:ca53077c0761c2203f87cd77d9a77c3902e4686dbe955be72a2904e3dadf6d0d

Observation e5c67993-2a1f-4f03-9d9e-c322fca0e075 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.166663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.166663Z digest=sha256:dcb91bb94ebd5f717e6c9b70fce7247ec660636590453dd826dad32d14820cac

Observation c207eb3f-1c90-4a1e-bdc7-7f41b872e53d · outbound

This paper cites Bebendorf, W.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Bebendorf, W

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.257303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.257303Z digest=sha256:795b14641151074e36cce67002eba9cbc085bb74780c95f71a55710e1a3a1154

Observation d83f2335-e7e2-446b-b7c9-bd09580ce49c · outbound

This paper cites Engquist, H.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Engquist, H

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.395057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.395057Z digest=sha256:d93ce113f27a4e3c8ea93bccb2590154032c10a7dd56453499997bdff6a30215

Observation fa4e8a25-2fd2-4653-8b8d-e816e562484b · outbound

This paper cites Engquist, L.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Engquist, L

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.464736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.464736Z digest=sha256:5cbd11b5b06ffa1eb6a53cdc9125860f0c1bd2c092c52fd7180c5b993dcb2af0

Observation 8b4087bb-3701-4754-9e0d-1d2c31359a59 · outbound

This paper cites lrAA: Low-Rank Anderson Acceleration.

LR-WaveHoltz: A Low-Rank Helmholtz Solver lrAA: Low-Rank Anderson Acceleration

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.516656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.516656Z digest=sha256:8879396770676f8429d6fece583c38a2ea70e239fa6f4faca18d171595ad52cf

Observation 49a222ce-d2d5-4f57-a46f-1429cacc7cbb · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.591972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.591972Z digest=sha256:c28956dbfa9ceb7c23bf2c127a017de91f5f7b0c5aacd391aadcc6151463c2cd

Observation d92b617b-9c53-4351-a23f-c324e88193fe · outbound

This paper cites Hagstrom, Radiation boundary conditions for the num erical simulation of waves, Acta numerica 8 (1999) 47–106.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Hagstrom, Radiation boundary conditions for the num erical simulation of waves, Acta numerica 8 (1999) 47–106

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.701874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.701874Z digest=sha256:b88bd296ef75f0d453e70a23f3e1a277648a99e67953c1d9ec433e85eef52605

Observation 64b16b08-e61e-4a67-b09d-c9754c57cf5f · outbound

This paper cites Appel¨ o, S.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Appel¨ o, S

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:52.860588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:52.860588Z digest=sha256:e0b912765e1c1b11e39a581de66cc65d6602a0f174900f518f8366ba1a420543

Observation 2a92ac84-f741-424f-ae63-8a5b917cbff4 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.072443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.072443Z digest=sha256:842fcd0962bd68a523f6057bc6780ccfbeb8d10a38f98c136b36733941ca51ff

Observation af0df897-766d-4bc1-8986-e4ce41e4eca7 · outbound

This paper cites Mattsson, J.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Mattsson, J

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.198945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.198945Z digest=sha256:e6eee6049f6bc626f9befcd4b4ae082ca379c99361242aa344b0752d36a50c1f

Observation 259eb29d-d847-4f81-9c28-3266f08902ca · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.317376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.317376Z digest=sha256:5b57d0148123c1d8d6043a602b50dbc8c0ddc1f407addc575b5c332176df2136

Observation b29c0d43-02a3-4583-903b-1b9bc9bd03bd · outbound

This paper cites Almquist, S.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Almquist, S

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.389384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.389384Z digest=sha256:3c6bf853ca4d23874d9e4e69aaa34827eda125b9858a58ffd9e884e495c959e0

Observation 6861d4f6-02b6-4d01-98dd-f22ed0e92a58 · outbound

This paper cites Benner, R.-C.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Benner, R.-C

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.470480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.470480Z digest=sha256:bef08d25706a653d8a1289d0b150cf3464b14c795b1d70b359a15fdc74267134

Observation d4a8d935-e978-4b1f-88e6-a01eb2fd7a28 · outbound

This paper cites Rotem, O.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Rotem, O

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.536323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.536323Z digest=sha256:f1d695820c18a0b9769bd7f22ee0f9e3b9ed80016757f5d90143ecbe40584c25

Observation 9f6cd386-9118-4464-82a6-aec11c51a2be · outbound

This paper cites Appel¨ o, J.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Appel¨ o, J

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.663687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.663687Z digest=sha256:07d415d529385bd60f9bdbce6c66e3f0568ce183ce59841eeabca9fa84becf32

Observation 3fa85874-d681-4c4e-aeae-809caab2c1ee · outbound

This paper cites Sabino, Solution of large-scale Lyapunov equations via the block modified Smith method, Ph.D.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Sabino, Solution of large-scale Lyapunov equations via the block modified Smith method, Ph.D

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.817368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.817368Z digest=sha256:c04e15a3fb1a4c57efb672bcb04d5d972832923ead556d746893287b506043c3

Observation 1fa98544-3f8a-40da-a2d8-5fa8a9f23bb7 · outbound

This paper cites an unresolved cited work.

LR-WaveHoltz: A Low-Rank Helmholtz Solver Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-04T10:39:53.878146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:39:53.878146Z digest=sha256:c6be2222294fd1e5c22936b517a8bc1aa7b898e3bfa12cd77580122d110161c1

Pith citing papers

Observation 4a668260-cfc8-48df-9b7e-75d2d948ff67 · inbound

Low-Rank Acceleration of the Operator Fourier Transform cites this paper.

Low-Rank Acceleration of the Operator Fourier Transform LR-WaveHoltz: A Low-Rank Helmholtz Solver

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-08T02:18:39.948094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T15:44:11.686133Z digest=sha256:539448b357ea6cd0c17a1159c170318b70bee5c57c2ccc01fd32b584017f36ee