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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-09T06:31:02.800959+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
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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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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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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 2026-08-09T06:31:02.800959+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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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+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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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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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.

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

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

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

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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 2026-08-09T06:31:02.800959+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

Resolution
verified fuzzy
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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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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no resolver link, observed 2026-08-06T15:42:16.482728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:42:16.482728Z digest=sha256:714141c98e36a148e11e60c8b47781723fb0baf26b317ca5bf2cd752eaa5d94e

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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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

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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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

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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
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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.

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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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:42:16.513857Z digest=sha256:f56934c517f3e934871184366e0d3a05b8b866942719727b1f2ffe49971e23bd

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
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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=pdf_text observed=2026-08-06T15:42:16.518332Z digest=sha256:5e8ff83391e1fffd2bead1ae2b97ca8dc1880df85c25fc4450ceccd577a2b212

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
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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=pdf_text observed=2026-08-06T15:42:16.525228Z digest=sha256:d9f1bcf353b0cd1d73a98d6c467eb0b61b75614b80797aa3aade6cb9f42d9226

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 2026-08-09T06:31:02.800959+00:00.

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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:f016c7eca420bcdb5ed05e3ed6a23c307342a0c9dcac88dd21ffed1d73933979

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:aea60f9eda7bab10659ac366b4eb51011121a12d30899511112f0346e3af1a0c

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=sha256:724ffb76a263f445a579166289134a30311b5b8a58907406ce03576969dea4ea

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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:42:16.560750Z digest=sha256:9f47d05a0b981e6223d10d198f25d01fcb6162bac2e3344ee585e4731e8566b6

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=sha256:7bc78b7ee810296b7027fc52dc8a1959e7afd9a8b428bf9ffab3922f1d041612

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 2026-08-09T06:31:02.800959+00:00.

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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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:08:01.782053Z digest=sha256:ef7637fd9159092537a14b3e66afe0cbe3b006d7656294b396d848ea3d95675a