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Paper Citation Record · LEDGER

LR-WaveHoltz: A Low-Rank Helmholtz Solver

As of 16 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 2026-08-16T06:30:59.297886+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=sha256:330e992364df7665304c5bca4c3c2ae8a06187421d620bfe18e317ca90528d73

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=sha256:07d9f79318f54d513953026b493cd48dadc6b313cbdc15a52b993fa1c2954b41

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:b798ace79fb512f48d4c95acfc659a52624473c01715af93083eda18ced35260

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=sha256:6ed7db79c8c351c73131316020a9c63b0df045a31fc982e0079f0108dfe0b51d

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:cb5c6f09eeb1991792239f32cb97d0ed607169a33551893cb6d48f40f31f46b8

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=sha256:598ba23229ad8102a104abd331456e7a453e3805155ab47473f641708d944b95

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:a4bd93e5ef02fde2c07a38fd6e4e73a1d5a8ec6130bcfb3fffdeed6fbc5da8c7

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=sha256:9b269edb2c4790b20908aa907dc2873afdcdc822275cb50d2c1f93c23986a653

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=sha256:9ef8ba620f840a8940fed055320a22a5bca0c0c843e3f2d4d261e0bf957c45d7

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=sha256:4cdf39c890a8f0b74c48b5b9699d7ddfb7ed4b1abdab642d2f6e0d349505e6f0

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=sha256:60ca821609269bacfb0bff5b7fd5dc6777b5abc1b3a19d583cfb7536d09e77c7

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=sha256:96d94d339200458a69079e40277dc082e11519dff706743d2eadb259da31abab

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:f5f088b5d7ea9c448d5c53437f503cecbfc606459b2b4837b1954ef8275c7ecd

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=sha256:0445373c0b53a85b3f1fcbd9771558bb7b391837215d238b942b23e7d3a3f3bc

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=sha256:3b968289209317842bae79721737fd5aa12d08d810270c432c03ddff16824a63

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=sha256:00e2d218218c3ce83d76aa2e059ded2dcd28e614875a6b3133650d881609f034

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:d74a53d839fdad873d542da53dd1dc0068cbf91d640f9f3b370865cf2f8b0ce5

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=sha256:759fdd2a7476e0f9c496ba20cdaf5ad2836023f168c010474ecb7d704f0ee100

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:addf211b4939fa9e0d3156a87b74a22388811a39f6e3cead4654771db1fc34c3

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:ad3191c01c938b18e1e171839d533209d33bf297434ce682a36d76476cf2ff88

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=sha256:3903f4f20bd8d054026485062fd91421167e76de34631388f80812bc46b8cd4d

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=sha256:20b71b19477a242e34e8f5981002e8ba9cb6a0f8c10b2d86f1c1af93e9411ef2

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:f3985d89287239d7471d962aec29be3416204f26f0719527e015787d8d66d9c6

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=sha256:0dfd62923d6781521490dfee2e63f524537e77cc1f10211d6673835b931b3d9a

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:b00d4ccab6bd1e180a13b0b7bd80302aa53939a51ec63e38b0d9deb8becb70fe

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=sha256:484b318685e0121958133617bd4040ffa43c580d91b327bf60a53eac6b83af15

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:da7c388a5e90e89db40411242803e2fa5ccc94f9d8ab485149b1deaa2949d0b5

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=sha256:7ca517ab8669d85c82d90e7ab4694c4e592386db131808e02c1c7673635b2fe9

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:a805b2206c1ae297ec5c1188bc260d103bb1eb79d483cea4b86596ab78a7ab19

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:b437619ea75dba3a0cb9c142353d2bc5f0f3c5ee2cebe1796413813a7a3ee72e

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=sha256:9476773bcabec5767fefc8d642716d2d8ba178aaf98eeb568b3c5059fda0f497

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=sha256:749cfc7ab6cf40616650e9eb08db8ad91a24810eba086c926f011ad112272b3a

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=sha256:4cf276282fd618369ce54eb70ec3d5a87671a3f8df2cdd2db01027c2ba75452e

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=sha256:188f3f974523b7cee20948d473340ce14ab298d4e200b862b7e815b005415c86

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:b22def048346930415334f772cb39cd2633ee79004e20d8a411e4138a7bd488a

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=sha256:0a0bb949ca6bb58905d5dbe5657282961a19194c499b733c2ddd7ae09e398cc1

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=sha256:32f6dbb6460a7853b19f7698b303c9fb3636aa1b65a3e45162e95a839547f1a0

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-27T15:44:11.686133Z digest=sha256:352c5b10b6efdae98ea8485c252b179a30cf11df6308588ce278393b4494ce38