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Paper Citation Record · LEDGER

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation

As of 21 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 3 inbound Pith citation observations for arXiv:2507.15363.

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

pith.paper-citation-record.v1
2507.15363 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:42:16.560750Z

measured 52 of 52 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:08:01.782053Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T22:56:16.534841Z

Reference resolution

49 of 49 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved23
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a1adb405-369f-44ce-a1a7-8cf0c0df159f · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 1

Resolution
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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.

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Observation 93916dc7-4084-4b07-8dde-6f7c53127e0b · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 2

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

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Observation 77a6c76c-dc01-420f-8a5e-abe0f92bff08 · outbound

This paper cites This step extends the valid range of the asymptotic expansions at infinity or zero.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation This step extends the valid range of the asymptotic expansions at infinity or zero

Reference 3

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

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Observation 6827a4e8-08a8-4d00-9b6c-143d199fd75a · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 4

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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.

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Observation 9953b4f8-85dc-4ae3-9187-67cbbfca2599 · outbound

This paper cites Then, for x < xm and x > xm, we can use Eq.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Then, for x < xm and x > xm, we can use Eq

Reference 5

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

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Observation e9b44eed-f684-4b83-9a3d-c71886983c18 · outbound

This paper cites identity.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation identity

Reference 6

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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.

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Observation bb620230-53a4-4010-b001-4aced49e9c3f · outbound

This paper cites Thus, for the solutions v1 and v2 of Eq.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Thus, for the solutions v1 and v2 of Eq

Reference 7

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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.

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Observation 3540e3a4-8e2a-46d9-bce9-2e4f688cad16 · outbound

This paper cites GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run

Reference 8

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Source-reported events for the cited work

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Observation 81888abe-c1f0-4bdb-9e81-e7e96203d6af · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 9

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

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Observation 6fddf748-3ee3-4eb8-b2a1-07ac93cdcd23 · outbound

This paper cites Hu and Y.-L.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Hu and Y.-L

Reference 10

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

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Observation 07871499-9ec5-4c7e-80d8-a9f6abb69479 · outbound

This paper cites Laser Interferometer Space Antenna.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Laser Interferometer Space Antenna

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 94914a9a-6e25-4138-b889-2235c515341f · outbound

This paper cites Luo, L.-S.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Luo, L.-S

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f268e6b7-4b39-4f5e-8614-5db4af3ef0a4 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 13

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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.

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Observation 81c46d0b-6c43-4ce2-8287-5bea54bafe96 · outbound

This paper cites Babak, J.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Babak, J

Reference 14

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

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Observation 3a281d9d-d688-45e8-998a-846d48916681 · outbound

This paper cites Amaro Seoane et al.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Amaro Seoane et al

Reference 15

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

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Observation a1aa900e-a3af-453b-8fb5-bb9c2d02738b · outbound

This paper cites Laghi, N.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Laghi, N

Reference 16

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

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Observation e00acb8d-dd0b-4dc4-bbe7-56fa96684870 · outbound

This paper cites Cardoso, K.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Cardoso, K

Reference 17

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

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Observation b07b3c2e-02e4-41be-acb4-51fc0280f00c · outbound

This paper cites Askar, C.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Askar, C

Reference 18

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

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Observation 51b49f77-8db8-497d-bb56-7121ff79a596 · outbound

This paper cites Barausse et al.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Barausse et al

Reference 19

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

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Observation 1ddecae3-72c5-45da-a669-1163e677e948 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 20

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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.

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Observation 51ad3133-9993-4643-a38c-0742b665dc83 · outbound

This paper cites Pound and B.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Pound and B

Reference 21

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

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Observation 5dc65b4a-16f3-41da-b216-a0848c2fb826 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 22

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

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Observation cd8d5d59-9887-4003-971d-f475a8c9f840 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 23

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

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Observation 6a16e433-1f02-4641-87d0-e18df71347ab · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 24

Resolution
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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.

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Observation 7de050b7-c8dd-42a6-a3fd-432c3723e469 · outbound

This paper cites Drasco and S.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Drasco and S

Reference 25

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

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Observation d1c39137-e730-43fa-b8da-f0117f433da6 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 26

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

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Observation afdd0d7f-5d09-4fc8-8748-291370742ae9 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 27

Resolution
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raw_fallback, observed 2026-08-06T15:42:17.187669Z

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.

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Observation 26b1e911-6ad1-4c54-893a-a708986a8203 · outbound

This paper cites Fujita and H.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Fujita and H

Reference 28

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raw_fallback, observed 2026-08-06T15:42:17.170961Z

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.

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Observation 5f6cc630-2148-4d17-aa16-2b9b42919fe4 · outbound

This paper cites Fujita and H.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Fujita and H

Reference 29

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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.

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Observation abb7b4c7-d2c2-413a-9a3b-aa111ec6df83 · outbound

This paper cites Sasaki and T.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Sasaki and T

Reference 30

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raw_fallback, observed 2026-08-06T15:42:17.140295Z

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.

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Observation dad83f14-4cfe-4392-b10e-4c96ae7e4252 · outbound

This paper cites Sasaki and T.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Sasaki and T

Reference 31

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raw_fallback, observed 2026-08-06T15:42:17.125119Z

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.

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Observation 0d80f822-f098-4839-a95c-685bbcaa8a0b · outbound

This paper cites Sasaki and T.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Sasaki and T

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:42:17.110237Z

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.

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Observation dde8ed99-5fb4-48b1-8d48-ae3b6708c3df · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 33

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unresolved
no resolver link, observed 2026-08-06T15:42:16.482728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation fe05a418-f4c7-4da9-a93d-7127945e36ac · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:42:17.082606Z

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.

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Observation 5c04fca1-d476-45b3-a7c1-22aa23d336a0 · outbound

This paper cites Chen and J.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Chen and J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:42:17.065337Z

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.

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Observation 89206ebc-e3b2-418b-bc69-a1caddc6a0a5 · outbound

This paper cites Elaydi, Asymptotic behavior of difference equations, in An Introduction to Difference Equations (Springer New York, New York, NY, 2005) pp.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Elaydi, Asymptotic behavior of difference equations, in An Introduction to Difference Equations (Springer New York, New York, NY, 2005) pp

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:42:17.046613Z

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.

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Observation 2485ac19-6624-4707-8bef-93199cd79ed0 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:42:17.028326Z

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.

source=pdf_text observed=2026-08-06T15:42:16.500074Z digest=sha256:10182837f315d618265817cf848730aee72dff40edd06f4ccef0d7f089e99ab3

Observation eaadc6a8-1313-4b1c-b44e-031972b62045 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 38

Resolution
verified exact
doi, observed 2026-08-06T15:42:16.603705Z

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.

source=pdf_text observed=2026-08-06T15:42:16.504395Z digest=sha256:111e5d5f60546dc907e35e09af1eb0ebf6531208863b2c4b1eb6e80fa503c213

Observation 2e0524fa-f03e-402a-9aaa-b3dccb5ea55b · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 39

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:42:16.869425Z

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.

source=pdf_text observed=2026-08-06T15:42:16.509528Z digest=sha256:2faf53e73e9741d41a9ba20ca89e3751d6f988126bfa618ccbae9c93f6bc3736

Observation 679c4c29-f8f3-4471-9c69-4952adf04ca6 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:42:17.011183Z

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.

source=pdf_text observed=2026-08-06T15:42:16.513857Z digest=sha256:2d5c85fbf96f81b38d3a8fe5935c4d0dd9e9444c1e76f293e1fbed033dfe54e3

Observation eaf324f0-0857-433f-900d-655aabc211a1 · outbound

This paper cites Berti, V.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Berti, V

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:42:16.994474Z

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.

source=pdf_text observed=2026-08-06T15:42:16.518332Z digest=sha256:7c3dee00a17ebae85c539185cb1fa241c3e41b53c34d1ce590d30474c908c5e2

Observation 832e062d-7e92-4781-8b8d-fa4e308db2ba · outbound

This paper cites Olver, 10 - differential equations with a parameter: Expansions in elementary functions, in Asymptotics and Special Functions, edited by F.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Olver, 10 - differential equations with a parameter: Expansions in elementary functions, in Asymptotics and Special Functions, edited by F

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:42:16.978430Z

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.

source=pdf_text observed=2026-08-06T15:42:16.525228Z digest=sha256:4226cb0c5fb23e48af826d4726103ccd4ddabc660236bd402a0e57d0afca1557

Observation fbbdedbe-d7c2-4dca-8b31-87dd20c28bb1 · outbound

This paper cites Olver's asymptotic method: a special case.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Olver's asymptotic method: a special case

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:42:16.768689Z

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.

source=pdf_text observed=2026-08-06T15:42:16.530784Z digest=sha256:61bcceca159a9e36dce4bea2a3d837ee8997dce3d69028dd01a2a214800571f0

Observation de538045-3712-4a4a-88ac-3ee4ba365422 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T15:42:16.536689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:42:16.536689Z digest=sha256:2bfadb2d546a3e08b5886f5ff44e21cc4dfe9708f22ea279d2103f0349ce149f

Observation 5eed997f-ad94-41bb-872a-ad26249f3197 · outbound

This paper cites Quasinormal modes and excitation factors of Kerr black holes.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Quasinormal modes and excitation factors of Kerr black holes

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T15:42:16.542039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:42:16.542039Z digest=sha256:4f52ffcd59abef194cecd9ff7a3fe6493d61f4197eeb2ae3daa55bf7500a4062

Observation 7ffaf3dc-3579-48e6-a131-ad9cfa68f0df · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T15:42:16.547163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:42:16.547163Z digest=sha256:3e48d7ebb8e3a12096ab953a61a16de5412efe7c7b15ff8bb10dc0ba0e306cbb

Observation 2f487244-12f7-4dc4-a162-bc3c5d0067b2 · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:42:16.950968Z

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.

source=pdf_text observed=2026-08-06T15:42:16.551578Z digest=sha256:3813d82cc59140a4c2282e195bd4ec6c066a453d7eda6f476641448e92655b04

Observation 382a5b3c-cbbb-48df-bc5d-e9aafdaab88e · outbound

This paper cites an unresolved cited work.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:42:16.935637Z

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.

source=pdf_text observed=2026-08-06T15:42:16.556056Z digest=sha256:4b98a4c37e46ac143bb1f4d69f0cba22a2433e933d387582eb54b4961fd31c7b

Observation 092c3d48-7541-4fe1-8b3b-60766316a065 · outbound

This paper cites OL WR, Numerical solution of second-order linear dif- ference equations, J.

A New High-Performing Method for Solving the Homogeneous Teukolsky Equation OL WR, Numerical solution of second-order linear dif- ference equations, J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:42:16.920221Z

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.

source=pdf_text observed=2026-08-06T15:42:16.560750Z digest=sha256:5d30dcce20fc6ab1ac535bae91b6ca2799a94c8744a364111291569c6fa3d535

Pith citing papers

Observation 2022b878-6411-4c8a-a5c3-b30adb07c24c · inbound

Gravitational radiation from Kerr black holes using the Sasaki-Nakamura formalism: Waveforms and fluxes at infinity cites this paper.

Gravitational radiation from Kerr black holes using the Sasaki-Nakamura formalism: Waveforms and fluxes at infinity A New High-Performing Method for Solving the Homogeneous Teukolsky Equation

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-03T22:53:00.946377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:53:00.946377Z digest=sha256:ed547ffe85f3a4b64574f49573fbca1e7e101dc773d4040d85db6057594666c3

Observation bf6d9615-54d8-4560-bad3-8cd48ef7ba69 · inbound

Gravitational waves of extreme-mass-ratio inspirals in a rotating black hole with Dehnen dark matter halo cites this paper.

Gravitational waves of extreme-mass-ratio inspirals in a rotating black hole with Dehnen dark matter halo A New High-Performing Method for Solving the Homogeneous Teukolsky Equation

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-05-11T22:56:16.543010Z

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.

source=pdf_text observed=2026-05-08T02:13:24.333816Z digest=sha256:2f52ef8474e2ad778cce2f878006f21df3850690a8dcb7fd17ac0b3708c36370

Observation e4316ff7-42b0-4145-91cd-5c78968bb86b · inbound

Coherent End-to-End Search for Generic Extreme-Mass-Ratio Inspirals cites this paper.

Coherent End-to-End Search for Generic Extreme-Mass-Ratio Inspirals A New High-Performing Method for Solving the Homogeneous Teukolsky Equation

Reference 54

Resolution
malformed identifier
no resolver link, observed 2026-08-07T20:08:01.782053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:08:01.782053Z digest=sha256:03c1a99d383635e8d6bed626066bede65c7c1c0e013123f0e9d91fa4fc22256c