Pith. sign in

Paper Citation Record · LEDGER

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

As of 12 August 2026, this Paper Citation Record lists 99 of 99 outbound references and 7 inbound Pith citation observations for arXiv:2412.02793.

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

pith.paper-citation-record.v1
2412.02793 v2

Coverage vector

measured 99 of 99 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:12:48.771992Z

measured 106 of 106 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:09:52.500890Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T01:58:29.095513Z

Reference resolution

99 of 99 outbound references displayed

  • verified exact6
  • verified fuzzy21
  • unresolved60
  • parse uncertain0
  • malformed identifier9
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e23a8bb8-1e3e-4b75-b154-9f8820aaa68a · outbound

This paper cites Energy scales and black hole pseudospectra: the structural role of the scalar product.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Energy scales and black hole pseudospectra: the structural role of the scalar product

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.272539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.272539Z digest=sha256:6815c9c95d8727fe133da1a2a6d0003c4319684788df5cf123a491577c799d97

Observation 501a02cb-8fc4-4f3b-8a9f-77009f6ff6bd · outbound

This paper cites Zeitschrift fur Physik51(3-4), 204– 212 (1928) https://doi.org/10.1007/BF01343196.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Zeitschrift fur Physik51(3-4), 204– 212 (1928) https://doi.org/10.1007/BF01343196

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.278767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.278767Z digest=sha256:35ede52a55f08574954784fd7104b4f77e6ec8f9980a0d92f7e205d03828516e

Observation 33a137a9-da5e-496c-b3dc-d081b5af4f55 · outbound

This paper cites Pure and Applied Mathematics, vol.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Pure and Applied Mathematics, vol

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.283060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.283060Z digest=sha256:8542513e850fc4fb121ee1517f641a3610296b7a1345136ce3204710dfdbc28f

Observation dec16cbb-63f0-45cf-8414-eac859796a37 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.287456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.287456Z digest=sha256:6b4c045624450dce4722e9eafeacca6a159e8a96e7533794d5b32880f8d511fe

Observation 61abef6c-4a2b-45e2-ab94-5f399d671b92 · outbound

This paper cites Communications on Pure and Applied Mathematics53(10), 1305–1334 (2000) https://doi.org/10.1002/ 1097-0312(200010)53:10⟨1305::AID-CPA4⟩3.0.CO;2-#.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Communications on Pure and Applied Mathematics53(10), 1305–1334 (2000) https://doi.org/10.1002/ 1097-0312(200010)53:10⟨1305::AID-CPA4⟩3.0.CO;2-#

Reference 5

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.291522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.291522Z digest=sha256:b9a3189b6d93a944e698e3c47fbdd602c171f10cffe12b18917fcba729b4e543

Observation a7c52c8c-38fd-4eae-92d6-d2a959f16019 · outbound

This paper cites Bulletin of Mathematical Sciences7(1), 1–85 (2017).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Bulletin of Mathematical Sciences7(1), 1–85 (2017)

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.295921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.295921Z digest=sha256:55cc0420c8171310f1ec34091300dac9b62a5e20b0ec80e4311517edd028ea53

Observation b4237563-9f07-4bb0-9c0e-776a6b96d134 · outbound

This paper cites Graduate Studies in Mathematics.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Graduate Studies in Mathematics

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.300970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.300970Z digest=sha256:c7ef18a8c99531f920a388456f837045a3dd7324b23c36d967158b0fe0d6aecf

Observation e2d1b4b9-d4ab-4b67-914e-25f67699726a · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.305411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.305411Z digest=sha256:a12800a484fa89af4c12e8b9a167a164b3c151d530a52a596fc2c46095919ccd

Observation 5415a7df-6124-4e1c-961a-49cd7683b3ea · outbound

This paper cites Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T23:12:50.040956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.309725Z digest=sha256:67b7863ee21098ecb3497f90a04c291d398f8c336d3c73b23bfd99fd07dae740

Observation cbefa711-2527-469f-8b44-acf01b465e35 · outbound

This paper cites Pseudospectrum and black hole quasi-normal mode (in)stability.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Pseudospectrum and black hole quasi-normal mode (in)stability

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.315099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.315099Z digest=sha256:404346ef16d5589833d65b7c1f5c28388d6395b0596cebca9e6c8bd7236ee8d3

Observation 1ecabb98-ead1-4a86-a370-c563b796ae43 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 11

Resolution
verified exact
raw_fallback, observed 2026-08-11T23:12:49.991421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.320408Z digest=sha256:6f090628e67c62116725ff7e0e1f956b50d4f65170224b87765d2c0aaa917b73

Observation d09e839f-4334-4460-b650-c8e1c70632ae · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.324856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.324856Z digest=sha256:1b51770c1059aa2b1180490f2eacc1c9607ac491ac7299ba7010acaa98d1881f

Observation ee3786c8-9cbe-4daa-93bf-053539b55a7d · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.329070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.329070Z digest=sha256:0a7c8b44ad620ef58b1b817d09c5d97c211e8180b845cf44e6f345c500e2697d

Observation 6357a0be-783f-41d4-96f0-9deb64448d2c · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.334628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.334628Z digest=sha256:90327b85eddc8ba52dc674da8a837d95b24e01fd1b8222129c21c494d214d85e

Observation a62e6143-ea57-47ba-973f-040e25c1eeaa · outbound

This paper cites Light interaction with photonic and plasmonic resonances.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Light interaction with photonic and plasmonic resonances

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.338931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.338931Z digest=sha256:d83d5b27b2c8dafa928cdc1996ff4392907c158f3cc89b38529e587100c3119f

Observation 7821f4cb-df1e-4fa1-999a-329da4143580 · outbound

This paper cites On the Completeness of the Quasinormal Modes of the Poeschl-Teller Potential.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach On the Completeness of the Quasinormal Modes of the Poeschl-Teller Potential

Reference 16

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.343217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.343217Z digest=sha256:30aa5fbba0c59fedf409d1acea0acc89347eec083564ed3843d7a5277e40afaf

Observation b07a9140-4569-46d0-b22f-74953818a954 · outbound

This paper cites Acta Phys.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Acta Phys

Reference 17

Resolution
verified exact
doi, observed 2026-08-11T23:12:48.995067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.347680Z digest=sha256:6b685a3f534c588cd2512c66ec52efb5233e6f798fa6322ce72d120724b517ce

Observation 142567e1-e41a-4b7f-a5d2-3774b0037de9 · outbound

This paper cites International Journal of Quantum Chemistry14(4), 529–542 (1978).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach International Journal of Quantum Chemistry14(4), 529–542 (1978)

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.353528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.353528Z digest=sha256:b81d560faf5c0127e42becc93a6d658050ad683876c180108697e1c74c39a80f

Observation a1c2e3b0-7939-4664-b18d-9252ffb842c0 · outbound

This paper cites Cambridge University Press, Cam- bridge (2011).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Cambridge University Press, Cam- bridge (2011)

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.358401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.358401Z digest=sha256:791cdb8529d43cfd51bbefffa3f17106dae65e32a7160d8c03857d29eadebeb6

Observation 66fdddd9-7939-400a-827c-5c86652a2e7a · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.362516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.362516Z digest=sha256:e40c8c1e3e943b0716c3f102055542f23f0ec8f4b32697c3ac986336f47722f9

Observation 9c4c9a9e-0fd0-4db3-83de-bf1780655425 · outbound

This paper cites On quasinormal modes of asymptotically anti-de Sitter black holes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach On quasinormal modes of asymptotically anti-de Sitter black holes

Reference 21

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.367549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.367549Z digest=sha256:bf247198a845c0ba93eb3be71e673918be42ccfd91a4196a03e5098e49892c3b

Observation b7e86480-6b99-46e0-bf5b-deec97af8e26 · outbound

This paper cites Spectral decomposition of black-hole perturbations on hyperboloidal slices.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Spectral decomposition of black-hole perturbations on hyperboloidal slices

Reference 22

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.373701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.373701Z digest=sha256:889b4decd8ac0cafd65c0a7e2fe7a92334eab3b03261c20be4b9bae64707498d

Observation 10c12244-7093-4d5c-9f46-312b99a6f39b · outbound

This paper cites Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordstr\"om case.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordstr\"om case

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.378399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.378399Z digest=sha256:183e43ff0ed7120191a19dc70973bf03e185dcfd06e69b5a930f95dc6beec8b9

Observation 8e65f6e7-d1c1-4d4d-bb14-ba4a22bbbe8b · outbound

This paper cites A model problem for quasinormal ringdown on asymptotically flat or extremal black holes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach A model problem for quasinormal ringdown on asymptotically flat or extremal black holes

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.383118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.383118Z digest=sha256:beb40db1dd4527cb5c690f32a85fb38d33b3daf14e7e03bbd4b7bf32865c7e81

Observation 8c8217b2-c025-40bc-949e-99b81dcaa5e2 · outbound

This paper cites Quasinormal modes in extremal Reissner-Nordstr\"om spacetimes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Quasinormal modes in extremal Reissner-Nordstr\"om spacetimes

Reference 25

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.387533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.387533Z digest=sha256:39e466741375f780776b8736cee551656b2b1a7f4ae8c5041c5fb86984173464

Observation fcb7bfb2-1420-449a-9b70-2cb8be4df5dc · outbound

This paper cites Annals of PDE 7, 1–13 (2021).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Annals of PDE 7, 1–13 (2021)

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.391714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.391714Z digest=sha256:7c0e82ef4914bbc604d2839a65d94c19790d164c839062b68dec0c5c22a4c19d

Observation 548222f5-f5b1-4d22-880a-4aa97572bc27 · outbound

This paper cites Existence of Zero-damped Quasinormal Frequencies for Nearly Extremal Black Holes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Existence of Zero-damped Quasinormal Frequencies for Nearly Extremal Black Holes

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.395547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.395547Z digest=sha256:c63d5f438369402420e904ee3670911e48387582a159790918c5a5c00576bd6a

Observation 5b8eacf4-3a86-4f26-b695-f6ca44f84a41 · outbound

This paper cites PhD thesis, Depart- ment of Applied Mathematics And Theoretical Physics, Cambridge U.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach PhD thesis, Depart- ment of Applied Mathematics And Theoretical Physics, Cambridge U

Reference 28

Resolution
verified exact
doi, observed 2026-08-11T23:12:48.977053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.399560Z digest=sha256:c649325a79469886ff9a7776c0699d911632312321733cebdf2837f472a06f05

Observation c6e784fd-5e57-4a9a-a0f0-ca50e98fb9b1 · outbound

This paper cites Quasinormal modes on Kerr spacetimes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Quasinormal modes on Kerr spacetimes

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.403308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.403308Z digest=sha256:79f8fb18c842cf839d396cba5fe15eb40010403a142febbc62e79bb059a2ad6f

Observation a70169e8-9ddf-4d75-b5bd-9c550781b09f · outbound

This paper cites (In)stability of de Sitter Quasinormal Mode spectra.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach (In)stability of de Sitter Quasinormal Mode spectra

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.408297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.408297Z digest=sha256:6464dbbab7877c04270745174274147499744fd8bc0604b180f4c57361d553de

Observation 3b88bc52-c278-4014-bd1e-79da6568c8e2 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 31

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T23:12:49.714162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.412779Z digest=sha256:8887127d823139e6d0d7658c37da0ffb0a50c8d21539da61b7c6201cbc1bde5c

Observation 1f6367a5-1180-423b-87a2-76d5fd32d54f · outbound

This paper cites Zeitschrift f¨ur Analysis und ihre Anwendungen16(1), 9–36 (1997).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Zeitschrift f¨ur Analysis und ihre Anwendungen16(1), 9–36 (1997)

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.417440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.417440Z digest=sha256:e1eddfdef3d86d782c9c2ebb59c4d7ecf19f23e8317872758306676e875d5978

Observation 0db3f17d-9eda-426a-9daa-ecd591412105 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.430507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.430507Z digest=sha256:c33a2bc5481987952827e0efb5e4efb52fe7144c2a8eb0b4dcb1314be6ecdb0b

Observation 9def1bdf-2f0d-48bd-b398-247427064388 · outbound

This paper cites Conserved currents for Kerr and orthogonality of quasinormal modes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Conserved currents for Kerr and orthogonality of quasinormal modes

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.435559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.435559Z digest=sha256:380dc40b35bce891f799173b2ed1c62ecf5835cde051be1f8c26381d0a09a165

Observation 6da07225-a62f-4861-867a-1b40284dabb7 · outbound

This paper cites Linear Algebra and its Applications436(10), 3839–3863 (2012) https://doi.org/10.1016/j.laa.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Linear Algebra and its Applications436(10), 3839–3863 (2012) https://doi.org/10.1016/j.laa

Reference 35

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.440599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.440599Z digest=sha256:a822b4f9855fbc93b9b67458b68551b26279d22aebb7c9eea422ea1189944e8e

Observation 34011d8d-802f-457c-bbf1-fffdf1153f6d · outbound

This paper cites European Journal of Mechanics-A/Solids100, 104809 (2023).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach European Journal of Mechanics-A/Solids100, 104809 (2023)

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.445165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.445165Z digest=sha256:7c8c857ffcfac4cfeab9b8f478fdcfa6c8145d25c4687edd567b095816b8e4cf

Observation a016489e-4536-43de-bdab-9ddbbb5f375a · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.449296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.449296Z digest=sha256:bab2379f34a7069f0e6f6a19845eab1edf51ff143c5c458fd1943da0a23bc251

Observation 23138046-dced-4fff-af3b-f023b6861e11 · outbound

This paper cites American Mathematical Soc., 201 Charles Street, Providence (2012).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach American Mathematical Soc., 201 Charles Street, Providence (2012)

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.453428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.453428Z digest=sha256:53a68484bf91a18105904733725c386a828810d3e7a4328008d36db194b3878d

Observation acf3af08-48e3-4bc7-a370-fa048c75f4e5 · outbound

This paper cites Holographic quenches and anomalous transport.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Holographic quenches and anomalous transport

Reference 39

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T23:12:49.598544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.461560Z digest=sha256:d2ab383442944b3f7bb98086a92e200a82b4f1dbb7bccbd4c2ee200f76a4fedb

Observation b7fea8dc-f810-4d9c-920e-24eddf053f67 · outbound

This paper cites Physical Review D68(8), 084014 (2003).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review D68(8), 084014 (2003)

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.466250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.466250Z digest=sha256:b2d75921b66cb63fddab8c53505485f2cad9bfaa61f85e94b41838a71f2d9a89

Observation b45dafb8-ee06-4ab7-bb93-0473b44af246 · outbound

This paper cites Physical Review D—Particles, Fields, Gravitation, and Cosmology76(8), 084007 (2007).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review D—Particles, Fields, Gravitation, and Cosmology76(8), 084007 (2007)

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.470424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.470424Z digest=sha256:b8c111edf6455f3bde7940166281c8e9d3d5ed13639e1c25b2d0b6e54e2b9f55

Observation 72fe2b03-48f7-4bde-b170-9a5eaafcc50c · outbound

This paper cites Physical Review D90(12), 124032 (2014) 86.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review D90(12), 124032 (2014) 86

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.475086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.475086Z digest=sha256:670a5a0548d18760fd9632cf3cbe461ba810a37186e969b51d229b540ac08464

Observation 1137a77c-1c6d-4c7d-af61-5af50443a60f · outbound

This paper cites Physical Review D108(10), 104020 (2023).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review D108(10), 104020 (2023)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.541657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.480385Z digest=sha256:b0fed460cf4589faf56be01e240823d8ed42f9de2f148bf4f49efd5abf198884

Observation 06ac824d-12cf-47af-b633-c6fac719b707 · outbound

This paper cites Physical Review Letters134(6), 061401 (2025).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review Letters134(6), 061401 (2025)

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.529751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.486320Z digest=sha256:7553092b4c5371ea676e31cc2db771ac338d9fb23291c61e1855d61aadf17f68

Observation 5fa85c76-1654-4a85-8cb1-f9f7844e9ebe · outbound

This paper cites Pseudospectrum and binary black hole merger transients.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Pseudospectrum and binary black hole merger transients

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.490880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.490880Z digest=sha256:93bf2abd45298df24e0c54019bb47ba66a6178e2c9037cffa524ccb8be4e6e2f

Observation 631a8ce5-7147-414f-98d2-9ed8ff4e3d7d · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.495504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.495504Z digest=sha256:0de73ecb791d23d1da1fe5142903f477a5a58683e14217b62a2ea6e28d62bf98

Observation 497e7089-4938-4922-910f-a3f26c7cec8c · outbound

This paper cites III - Second order perturbations of collapse with rotation.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach III - Second order perturbations of collapse with rotation

Reference 47

Resolution
verified exact
doi, observed 2026-08-11T23:12:48.935699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.499988Z digest=sha256:bcc054069bcb43bf0869f49a70aa590202be2678a5dc55cae93b1bdbdf02292d

Observation 185b6d45-748c-4f3c-8b8e-ba6aa8895388 · outbound

This paper cites Second-order perturbation theory: the problem of infinite mode coupling.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Second-order perturbation theory: the problem of infinite mode coupling

Reference 48

Resolution
malformed identifier
no resolver link, observed 2026-08-11T23:12:48.504178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.504178Z digest=sha256:40a6366ca9c98bc20111dc38acb269209ddad9b76e27b5789792ccc1fdd0f358

Observation e7a1abe0-0630-47fc-9882-1eb57b8c5ec7 · outbound

This paper cites Gauge and motion in perturbation theory.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Gauge and motion in perturbation theory

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.508461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.508461Z digest=sha256:25e3561c811cbb3d7d06ea21f1262eb56762b1ef683ea41e5555bebb36f9925d

Observation 192ee3e5-fed6-405a-88e9-5d6e5f82a8dd · outbound

This paper cites Classical and Quantum Grav- ity25(14), 145002 (2008).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Classical and Quantum Grav- ity25(14), 145002 (2008)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.516964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.513586Z digest=sha256:d698e1068954b545f12b76992aaa0efb60b7c70ca33ded90b5595faa7b21cf89

Observation 445ef67a-f269-40de-93c8-49548a0f74c3 · outbound

This paper cites A geometric framework for black hole perturbations.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach A geometric framework for black hole perturbations

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.517766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.517766Z digest=sha256:b993f1b6e0dfee736aa302b204e2fccc9199c906209e81f0d75ab1f3a8e681e5

Observation 5fd52aae-a717-44fe-9881-971187bb5405 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.524060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.524060Z digest=sha256:18e55061c50c5c7d04358e356298abcb57b449cd65b7f4ebf7e003aa2d09bbfb

Observation 4a253bcb-02d9-43b8-b814-271a9541020f · outbound

This paper cites Philosophical Transactions of the Royal Society A382(2267), 20230046 (2024).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Philosophical Transactions of the Royal Society A382(2267), 20230046 (2024)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.503158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.529350Z digest=sha256:add56a7a663be25d1acf37532370323ab3652a3a3bd8d2341917b1ef25f5a259

Observation c9f358ed-dc5d-4dab-96c1-37eea9366d8e · outbound

This paper cites Hyperbolic times in Minkowski space.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Hyperbolic times in Minkowski space

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.533694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.533694Z digest=sha256:079baf6b316519255e7561c3aabb0a80c6be3dbed3e11fc8b55aea143c731ebe

Observation 28f92953-0689-4ef2-a7ad-457e76419bab · outbound

This paper cites Hyperboloidal Approach to Quasinormal Modes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Hyperboloidal Approach to Quasinormal Modes

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.537994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.537994Z digest=sha256:e108618a216ad105bacb6f03903e02a8ecf1acac5ce7d0d0bd067a1d607bc706

Observation 26a0dde6-124f-49f0-9d1a-d7bcaf20fc6e · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.491457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.542910Z digest=sha256:691f1c61f6c27122d4c0e7a52f105228e28cfb6aad309c7415123bbbcdc3284a

Observation 66137463-ddf0-41a3-8ec8-ee935d8cd203 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.479104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.548152Z digest=sha256:52df62f21fe6bce917fb614782946edd48b57dc6940578d6dbf1aaa2e9c6ca8e

Observation 33c4e0b2-9683-4321-937a-7dc0ef1b8c67 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.462249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.553088Z digest=sha256:908b97ecd3cbad1f3ab91b4fa637094181a301ba50115901a5ff7462567a6a46

Observation f01407e7-faaf-4658-bd22-d4579f4944fd · outbound

This paper cites Laser & Photonics Reviews12(5), 1700113 (2018) https://doi.org/10.1002/lpor.201700113 https://onlinelibrary.wiley.com/doi/pdf/10.1002/lpor.201700113.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Laser & Photonics Reviews12(5), 1700113 (2018) https://doi.org/10.1002/lpor.201700113 https://onlinelibrary.wiley.com/doi/pdf/10.1002/lpor.201700113

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.557803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.557803Z digest=sha256:577f6179bf357472bb7421591ac0f1189e7a01f7b2a3f62cd5d8a554b71adc76

Observation 7e2b6d63-c42b-4934-916e-bfcbc156496e · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.562726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.562726Z digest=sha256:dd9e14d4676a85e5002118dc2ec19be02fa92c466e3395ed0d02e012693357fc

Observation 84a07a7a-db19-4c6d-a99a-2f4d4179f84e · outbound

This paper cites Journal of Computational and Applied Mathematics69(1), 125–142 (1996) https://doi.org/10.1016/0377-0427(95)00021-6.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Journal of Computational and Applied Mathematics69(1), 125–142 (1996) https://doi.org/10.1016/0377-0427(95)00021-6

Reference 61

Resolution
verified exact
doi, observed 2026-08-11T23:12:48.880341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.567384Z digest=sha256:3bb261ae31c51782fdefd786666a3633266a0c3ff86e1a7fedf3a4e5043a71cf

Observation a0e348a0-25dc-4903-9576-c5bd0483fead · outbound

This paper cites Journal of High Energy Physics2024(10) (2024) https://doi.org/10.1007/jhep10(2024)084.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Journal of High Energy Physics2024(10) (2024) https://doi.org/10.1007/jhep10(2024)084

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.572308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.572308Z digest=sha256:895bc634c916460763c732ab51dc9a5c7c00359244bdaabf0171e8e19db1e10e

Observation ab902887-d856-4e94-9475-8f50ec01babc · outbound

This paper cites Classical and Quantum Gravity41(23), 235015 (2024) https://doi.org/10.1088/1361-6382/ad89a1.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Classical and Quantum Gravity41(23), 235015 (2024) https://doi.org/10.1088/1361-6382/ad89a1

Reference 63

Resolution
verified exact
doi, observed 2026-08-11T23:12:48.851878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.577610Z digest=sha256:661046b317a0a7d42c96f5bfc6411bc0f6e9f7b6ff3d6d37d0ca4e904c3733f7

Observation a8a2507e-5227-4d26-bb0b-ef296a20e7cb · outbound

This paper cites Non-modal effects in black hole perturbation theory: Transient Superradiance.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Non-modal effects in black hole perturbation theory: Transient Superradiance

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.582246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.582246Z digest=sha256:ba8b536c63276f4ab3afee1ceb48551b79cc3ba1b476a0e2a0ce49199696e652

Observation 3b1af8fc-967c-4330-8e70-783f98ced2d4 · outbound

This paper cites Gravitational wave signatures of black hole quasi-normal mode instability.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Gravitational wave signatures of black hole quasi-normal mode instability

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.587925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.587925Z digest=sha256:df2fe3021a68305a25edb87920c68c041188c4b08be8053469bdb092946623bd

Observation bea90e36-cc1b-4439-89e0-7e612798b385 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.447127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.592550Z digest=sha256:e9a0f047e03f24ce493dde6d59fc2ce55ba43525400f6c9db83a654a338ffb48

Observation e21b175c-c461-47b6-a798-9cc706b54ac8 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.596477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.596477Z digest=sha256:5b10d26662026aff066a3eeee2f0dcf6250a5395193b9f08265624bfcd9deeab

Observation 28f0c6f9-2d53-43d4-a704-971a5f0237b1 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.602582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.602582Z digest=sha256:4dfd55e38b3836ce2f71a3de46aae96462d4352d96d96def79d291ead01f80a5

Observation cfaff046-53af-49d0-976d-0c45af93f4f5 · outbound

This paper cites In: 18th Conference of the Indian Association for General Relativity and Gravitation, pp.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach In: 18th Conference of the Indian Association for General Relativity and Gravitation, pp

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.428035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.607623Z digest=sha256:f1b8155c48e8ebc12e306c17a29ca5780d07d4f025341864eefbc023d20cfead

Observation d61a883c-4835-4032-bfe2-ae72edaca6a5 · outbound

This paper cites Physical Review D109(4), 044010 (2024).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review D109(4), 044010 (2024)

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.414721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.612308Z digest=sha256:18e43b26f40cd8bbbae7346c7c1287e6fbe3436673223bb1b69b33c7dd511050

Observation 666d82a2-b07b-4be1-a0cc-f8981d56656d · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 71

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T23:12:49.357780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.617257Z digest=sha256:e9b37cd9b2d57017b3f7063fa02631740df6fc8c797c4b2d4316d3438ee16774

Observation 272a6166-40e4-4052-8785-4d8067013c7a · outbound

This paper cites Science261(5121), 578–584 (1993) https://doi.org/10.1126/ science.261.5121.578 https://science.sciencemag.org/content/261/5121/578.full.pdf.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Science261(5121), 578–584 (1993) https://doi.org/10.1126/ science.261.5121.578 https://science.sciencemag.org/content/261/5121/578.full.pdf

Reference 72

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T23:12:50.398132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.621522Z digest=sha256:352e1f9f154dd4db233b963a41a853b2837e6e6863f66c503466c48e34c660ce

Observation a0a9d512-71cb-4583-8302-e810c133e79f · outbound

This paper cites Princeton University Press, Princeton (2005).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Princeton University Press, Princeton (2005)

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.381219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.627943Z digest=sha256:66234d869fe9866f99072bb4d2dc72ac1b6c2330d675ba1c2489c19c6b781c9b

Observation 4753ad7a-9b3d-4818-80da-48136aae8d47 · outbound

This paper cites Annual Review of Fluid Mechan- ics39(1), 129–162 (2007) https://doi.org/10.1146/annurev.fluid.38.050304.092139 https://doi.org/10.1146/annurev.fluid.38.050304.092139.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Annual Review of Fluid Mechan- ics39(1), 129–162 (2007) https://doi.org/10.1146/annurev.fluid.38.050304.092139 https://doi.org/10.1146/annurev.fluid.38.050304.092139

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.633515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.633515Z digest=sha256:e22bd52886efb27fa5def7345be6f5a07ade35490fb052fa1336d19412eac8b3

Observation aaba3b24-4429-456a-b167-ed84cdbbcb33 · outbound

This paper cites In preparation (2022).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach In preparation (2022)

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.366260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.639954Z digest=sha256:14de5c78f28432c8bc09be8352e9b631b021cf4b893e9bd8c109c68e007455fa

Observation f588d959-1f96-4b79-b436-599dd1ac23ba · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.353264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.645427Z digest=sha256:4774b6b961f23ee0c99188429b7f476324c5ddc028c2a9ec3bf85d530dbb0465

Observation 9047ca8e-d6bf-48f3-9588-5ee8708829ea · outbound

This paper cites Physics of Fluids 31(8), 2093 (1988).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physics of Fluids 31(8), 2093 (1988)

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.339651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.650399Z digest=sha256:066005464955097350cae85b3f461fbfd1b249cca8e793a340f775841912313b

Observation c185acb1-e80f-4646-84cf-6d4720fd331f · outbound

This paper cites Oxford University Press, New York, Oxford (1987).http://opac.inria.fr/record=b1081336.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Oxford University Press, New York, Oxford (1987).http://opac.inria.fr/record=b1081336

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.322798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.655308Z digest=sha256:4235b042ff554c11249f6ff3a4c01226382b505c77ae9317ad46edd246f09347

Observation c87b1a2c-5b5b-43af-8f48-d41b383f734f · outbound

This paper cites SIAM Rev.39(3), 383–406 (1997).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach SIAM Rev.39(3), 383–406 (1997)

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.307289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.659795Z digest=sha256:d8f2cba8615c874f5dcb01a55fd32635114457fe87986f8b4f1cd3f7225e86e9

Observation fc43db56-1f88-4369-9322-0cd39dc02a15 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 80

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.294224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.664449Z digest=sha256:9f643a7d7829e7873da56a99370a389cf6fbcac03b19dac3370331d6f05367b7

Observation 78640fed-42a7-4dba-943b-de799d596b7a · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 81

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:12:50.278937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.673828Z digest=sha256:faf149ec46ef9897a4c7b92266a2eaa7a4af73a6aa54d9a6b5c5520fa5034a09

Observation d81de64b-c8d7-41c1-b2a2-1cd79e17dae3 · outbound

This paper cites an unresolved cited work.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Unresolved cited work

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.679171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.679171Z digest=sha256:b7e77167bb0c22b5efd6031fd5f523d609fda35ba9e4cf6864afde765c128656

Observation 8c20ab07-dbac-46e0-8d83-4004c4cb1ebe · outbound

This paper cites Hyperboloidal Research Network Seminar, 13 December (2024).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Hyperboloidal Research Network Seminar, 13 December (2024)

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.261777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.683251Z digest=sha256:a9cff6f1d32cf0edd5ca8528f9f2cec2b980a4a1a59133675e5a5c54b190dc61

Observation 5c247c03-5df7-47ca-9daf-ff246953beae · outbound

This paper cites The pseudospectrum for the Kerr black hole with spin $s=0$ case.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach The pseudospectrum for the Kerr black hole with spin $s=0$ case

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.687279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.687279Z digest=sha256:e04fdfc77e6bd3b5ed9fbebbdbbad81b320d41ee5f8f42a7edcdf3d70cd09741

Observation 8c671dbb-108c-4900-bf45-0a6b0b121061 · outbound

This paper cites Overdamped QNM for Schwarzschild black holes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Overdamped QNM for Schwarzschild black holes

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.692040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.692040Z digest=sha256:b9df669d558366f4bea62d3d47e138ed93596c278f47f1a8b4351f5d0c0fca2f

Observation 33881cbc-1242-4476-ae9e-381cbde1f404 · outbound

This paper cites Journal of High Energy Physics2024(5), 1–39 (2024).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Journal of High Energy Physics2024(5), 1–39 (2024)

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.243909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.697124Z digest=sha256:fdb88b63adbcd137f9a4e40ff3142d58101285de6fb7615a2ae7f127c87352f6

Observation a3d333b5-3bb9-4585-a1c4-051fbbadf965 · outbound

This paper cites Pseudospectrum of Reissner-Nordstr\"om black holes: quasinormal mode instability and universality.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Pseudospectrum of Reissner-Nordstr\"om black holes: quasinormal mode instability and universality

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.702115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.702115Z digest=sha256:a40694350f3f0bda994f7ad749792810e9625565c00d13918186f5fc5c7efcc1

Observation 5c5f3b88-97bd-4a8b-86ea-047e5313fde9 · outbound

This paper cites Physical Review D103(6), 065014 (2021).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Physical Review D103(6), 065014 (2021)

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.220594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.711167Z digest=sha256:6fad8d600bbf9a4b896053db4398e775310b9628997ddc2bedcb19b94f194d43

Observation 247cc1ed-8aec-4451-83c7-80aac9f35b32 · outbound

This paper cites Reviews in Mathematical Physics22(04), 431–484 (2010).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Reviews in Mathematical Physics22(04), 431–484 (2010)

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.200751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.715727Z digest=sha256:51740e0301b9fd704bc871a234ed781eec021c35fe43e355aecc65c521b6f46c

Observation af8542c8-35f7-4905-a955-886b9abb280c · outbound

This paper cites Journal of Geometry and Physics3(1), 101–117 (1986).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Journal of Geometry and Physics3(1), 101–117 (1986)

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.183375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.720507Z digest=sha256:bbcb7cf2aeaaccd9204f51f12a9ab2fe1e024651e80db9dc35cf980717d9678f

Observation f1a8c00a-fee2-4d6b-9bc1-08846df75108 · outbound

This paper cites Philosophical Transactions of the Royal Society A382(2267), 20230037 (2024).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Philosophical Transactions of the Royal Society A382(2267), 20230037 (2024)

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.166005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.725056Z digest=sha256:d49f4514f709c66e6103c480e987cdd7162b8fda83b2547885b8e53f7bd5f93a

Observation 3eaac155-da17-4fc1-a94e-8bea65a9fe3b · outbound

This paper cites A toy model of hyperboloidal approach to quasinormal modes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach A toy model of hyperboloidal approach to quasinormal modes

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.730631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.730631Z digest=sha256:af7cce8de51a99ac28bdd62f65272d1e04d6fa74e33cf943c462664f9facf0de

Observation 9279a081-b516-4129-960a-d9ee44a30e99 · outbound

This paper cites Theses, Universit ´e Bourgogne Franche- Comt´e (February 2022).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Theses, Universit ´e Bourgogne Franche- Comt´e (February 2022)

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.150178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.736090Z digest=sha256:9a5ea50b98f86d3715ed4d1b791804bd475b1a4d6c2f46f6557db9904f080c1e

Observation 288de833-9fb8-4544-b5aa-992cb634f4d9 · outbound

This paper cites Pseudospectrum of de Sitter black holes.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Pseudospectrum of de Sitter black holes

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.741028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.741028Z digest=sha256:b15751907983928726edeca3ca9c0f7ecd463ac2f1a046ca7b8c53962cece0ef

Observation 46d0a0e8-afcb-4d86-b957-0e6e5ad5a4d5 · outbound

This paper cites Journal of High Energy Physics2023(12), 1–60 (2023).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Journal of High Energy Physics2023(12), 1–60 (2023)

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.133083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.750732Z digest=sha256:79af61ff43e842436535e220f5d0cc09854162ca309128bdac01a1c52cf7bb0a

Observation 9a249d90-6e60-4763-9d61-dbd902b9f237 · outbound

This paper cites Science China 90 Physics, Mechanics & Astronomy67(10), 100412 (2024).

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Science China 90 Physics, Mechanics & Astronomy67(10), 100412 (2024)

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.114042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.756827Z digest=sha256:e3f65a1f7a7d026e68325d2b7753b17154dbda9a18f72f2ed28c7c9d281ed05f

Observation 3e15aa6f-95d7-4355-a6a0-b9d7b7722457 · outbound

This paper cites The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.761717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.761717Z digest=sha256:c9ded0b30aabdb74f86dc1a56b9fec86b453ea405697ebc0afb14b146140d7f1

Observation 738408cc-8b01-49e0-b6c4-af9267488139 · outbound

This paper cites Cam- bridge Monographs on Mathematical Physics.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Cam- bridge Monographs on Mathematical Physics

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:12:50.098158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T23:12:48.767631Z digest=sha256:7f3394ed7afc6a4460ec134417cd027fc287c7836bb9c732faf99f92aebb68c0

Observation fc6b1f47-070c-4bec-9871-d6b5c0dda130 · outbound

This paper cites Axisymmetric fully spectral code for hyperbolic equations.

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach Axisymmetric fully spectral code for hyperbolic equations

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-11T23:12:48.771992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:12:48.771992Z digest=sha256:f91a2a7dbbf58b2f3bca4587f0f3f7e045e6e74aef65c1e405eed03f81487ee9

Pith citing papers

Observation 59d29daf-f12b-4f17-9009-1b18620bfddf · inbound

The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework cites this paper.

The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-10T23:09:52.500890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:09:52.500890Z digest=sha256:97acdbb4a702a080467e57200fd535348503fe6563f94a8e5743a3af6204dff6

Observation 71a98483-57df-4578-b547-cdd718aaf77f · inbound

Probing the Unstable Spectrum of Schwarzschild-like Black Holes cites this paper.

Probing the Unstable Spectrum of Schwarzschild-like Black Holes Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:04.876060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:04.876060Z digest=sha256:3deaea419be22f0636408fcaeac496c9224af93982b2697555f433d079a71ee1

Observation e785befe-bfcf-49a3-af27-769e0a828b6c · inbound

Transients in black hole perturbation theory cites this paper.

Transients in black hole perturbation theory Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-06T15:12:30.511528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:12:30.511528Z digest=sha256:a023af6245f918fccba8d314955aac8c9f62dcb44fcc0e0dba817f8330cb49a4

Observation 35cce1a2-4fcb-4a6c-acdd-f67855b66c61 · inbound

Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics cites this paper.

Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T17:19:56.929796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:19:56.929796Z digest=sha256:3fc972deed0f691b823291d45bc9dfdb494b933c1a6a5ac36e4b13465bc8fce8

Observation 4c4c69e1-3e28-4ed9-acad-8b14257d767b · inbound

Exceptional line and pseudospectrum in black hole spectroscopy cites this paper.

Exceptional line and pseudospectrum in black hole spectroscopy Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-03T21:08:45.526567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:08:45.526567Z digest=sha256:0dd463394e19da78daca335bc662460bab4acef321553deb3b005a3d1f96033a

Observation 9b004fb2-794b-4d0a-9a10-e05dd3edba62 · inbound

Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations cites this paper.

Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-10T14:40:32.397276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T14:39:18.855521Z digest=sha256:ab834ef1bca8fa9180676ca780a61022d53c0e66006e580a8f48283ad4bb41fc

Observation 92ff45c6-6668-4e10-a87f-f0fae7f94fab · inbound

Properties of natural polynomials for Schwarzschild and Kerr black holes cites this paper.

Properties of natural polynomials for Schwarzschild and Kerr black holes Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:58:29.097357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T01:55:11.566487Z digest=sha256:021fb1e35ce91107a02c3b137d8980fb526558880687e97d60eb8126c8df6ba0