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Paper Citation Record · LEDGER

Soliton methods and the black hole balance problem

As of 20 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2501.09823.

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

pith.paper-citation-record.v1
2501.09823 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:43:52.498910Z

measured 51 of 51 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 7245eb48-e91e-4c14-bed2-a81ff9732862 · outbound

This paper cites The inverse scattering transform-Fourier analysis for nonlinear problems , Stud.

Soliton methods and the black hole balance problem The inverse scattering transform-Fourier analysis for nonlinear problems , Stud

Reference 1

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Observation edfca476-eec2-440f-af88-670c48dc9441 · outbound

This paper cites and Hennig, J., Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein–Maxwell the- ory, Phys.

Soliton methods and the black hole balance problem and Hennig, J., Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein–Maxwell the- ory, Phys

Reference 2

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Observation e8c46e29-2546-414c-9f9f-a7e0195fc739 · outbound

This paper cites V.,Zur Theorie der partiellen Differentialgleichungen er- ster Ordnung, Math.

Soliton methods and the black hole balance problem V.,Zur Theorie der partiellen Differentialgleichungen er- ster Ordnung, Math

Reference 3

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Observation 9e2ef9d8-f2df-4560-bbb3-68dbbc2559ba · outbound

This paper cites and Schoen, R.

Soliton methods and the black hole balance problem and Schoen, R

Reference 4

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a085c7b8-a082-491e-bea6-cafc6397e7f2 · outbound

This paper cites A., L-A pair of a system of coupled equations of the gravi- tational and electromagnetic fields , JETP Lett.

Soliton methods and the black hole balance problem A., L-A pair of a system of coupled equations of the gravi- tational and electromagnetic fields , JETP Lett

Reference 5

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Observation 74919322-9573-4c0c-aa54-a2e8e931f654 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 6

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Observation 791404fd-efc9-4d94-9ad4-7661c1033049 · outbound

This paper cites L., Proof of the uniqueness conjecture for black holes , PhD Thesis, University of New England (1983).

Soliton methods and the black hole balance problem L., Proof of the uniqueness conjecture for black holes , PhD Thesis, University of New England (1983)

Reference 7

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Observation 03ba5a03-2c50-495c-af7f-52fc58e205c6 · outbound

This paper cites T., On rigidity of analytic black holes , Commun.

Soliton methods and the black hole balance problem T., On rigidity of analytic black holes , Commun

Reference 8

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Observation ab735ca2-b8e1-467d-923c-0371a184745c · outbound

This paper cites T., Costa, J.

Soliton methods and the black hole balance problem T., Costa, J

Reference 9

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Observation 5f598646-8ba1-4f88-bf33-bacc515e43db · outbound

This paper cites T., Eckstein, M., Nguyen, L., and Szybka, S.

Soliton methods and the black hole balance problem T., Eckstein, M., Nguyen, L., and Szybka, S

Reference 10

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Observation b3607b72-09aa-4d3e-beb8-cfa28427ee3b · outbound

This paper cites T and Wald, R.

Soliton methods and the black hole balance problem T and Wald, R

Reference 11

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c6b09b06-111f-4df1-a397-63049199452d · outbound

This paper cites L., On the classification of stationary electro-vacuum black holes, Class.

Soliton methods and the black hole balance problem L., On the classification of stationary electro-vacuum black holes, Class

Reference 12

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Observation 95858b10-f2f7-44a3-b614-b6f7b0c3d0dc · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 13

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Observation 861572f2-0c76-4e5d-a05f-b8afd1091251 · outbound

This paper cites Spinning Black Binaries in de Sitter space.

Soliton methods and the black hole balance problem Spinning Black Binaries in de Sitter space

Reference 14

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Observation 9c3a803a-aea9-46f9-944f-92e5250b3644 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6c73866e-a063-496c-a4c3-c5216bc899d5 · outbound

This paper cites J., New formulation of the axially symmetric gravitational field problem.

Soliton methods and the black hole balance problem J., New formulation of the axially symmetric gravitational field problem

Reference 16

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0f322608-50b4-4ed2-9e53-7aa6d7543610 · outbound

This paper cites S., Greene, J.

Soliton methods and the black hole balance problem S., Greene, J

Reference 17

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Observation 4cdf0181-e537-4721-baf3-124872144d2d · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e27397bf-93a5-4311-b7f4-dc697fe7144e · outbound

This paper cites and Ernst, F.

Soliton methods and the black hole balance problem and Ernst, F

Reference 19

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f75485cc-9529-470e-8a48-0d8705effb21 · outbound

This paper cites Quantum Grav.

Soliton methods and the black hole balance problem Quantum Grav

Reference 20

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d7172603-50bf-4319-8281-9fcede3b2167 · outbound

This paper cites Quantum Grav.

Soliton methods and the black hole balance problem Quantum Grav

Reference 21

Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation ba8513b6-5b83-4e3c-8092-93baea880630 · outbound

This paper cites and Ansorg, M., The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein–Maxwell theory: study in terms of soliton methods , Ann.

Soliton methods and the black hole balance problem and Ansorg, M., The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein–Maxwell theory: study in terms of soliton methods , Ann

Reference 22

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Observation 46ef7016-2ca4-4f24-804d-26259ae6ebee · outbound

This paper cites Quantum Grav.

Soliton methods and the black hole balance problem Quantum Grav

Reference 23

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 394a70b8-0d9a-4615-9e0d-cb8cb01490c7 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation adf5d61a-7f29-4210-b468-13b6d2ed2616 · outbound

This paper cites and Neugebauer, G., Non-existence of stationary two-black- hole configurations, Gen.

Soliton methods and the black hole balance problem and Neugebauer, G., Non-existence of stationary two-black- hole configurations, Gen

Reference 25

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Observation fd0418ce-339f-4171-b87c-99b43e1ceb0f · outbound

This paper cites Gravitational collapse to extremal black holes and the third law of black hole thermodynamics.

Soliton methods and the black hole balance problem Gravitational collapse to extremal black holes and the third law of black hole thermodynamics

Reference 26

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Unavailable: canonical work link unavailable.

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Observation c5ff27c0-d227-4b38-888a-59a77b8b86ef · outbound

This paper cites Extremal black hole formation as a critical phenomenon.

Soliton methods and the black hole balance problem Extremal black hole formation as a critical phenomenon

Reference 27

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Unavailable: canonical work link unavailable.

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Observation 00bf74b6-8368-4e50-affa-fd5a6cfff08f · outbound

This paper cites P., Gravitational field of a spinning mass as an example of algebraically special metrics, Phys.

Soliton methods and the black hole balance problem P., Gravitational field of a spinning mass as an example of algebraically special metrics, Phys

Reference 28

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Observation 810b4334-ff23-4b73-8924-32812c0f639d · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 29

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2a58c00f-ce11-406d-bfae-8ee183e0b129 · outbound

This paper cites and Neugebauer, G., The superposition of two Kerr solu- tions, Phys.

Soliton methods and the black hole balance problem and Neugebauer, G., The superposition of two Kerr solu- tions, Phys

Reference 30

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a6664778-5285-4bec-81e1-e12d9f2abea9 · outbound

This paper cites Pure Appl.

Soliton methods and the black hole balance problem Pure Appl

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation fc52a675-7c20-450e-99c5-ce88366a7b09 · outbound

This paper cites D., A class of exact solutions of Einstein ’s field equations, Phys.

Soliton methods and the black hole balance problem D., A class of exact solutions of Einstein ’s field equations, Phys

Reference 32

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2719a8b5-7ce4-4a54-952e-09a73efef952 · outbound

This paper cites S., Ruiz, E., and Sanabria-G´ omez, J.

Soliton methods and the black hole balance problem S., Ruiz, E., and Sanabria-G´ omez, J

Reference 33

Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 41f02a2f-94e2-4c0c-874e-882fd1f2201c · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:53.012125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 67140ed6-55f1-458f-be36-e5ee75449152 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 35

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9c04c4bc-1468-4e29-b4bf-ad4623a16b4b · outbound

This paper cites O., Proof of uniqueness of the Kerr-Newman black hole solu- tion, J.

Soliton methods and the black hole balance problem O., Proof of uniqueness of the Kerr-Newman black hole solu- tion, J

Reference 36

Resolution
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raw_fallback, observed 2026-08-10T19:43:52.963749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.387149Z digest=sha256:883eeddb771c14dcf9b39b6aee024cf15c7133fe5edc9a046f5b218a81a0edc2

Observation 2aa10ac6-cce8-41da-bcdb-a7606b327c52 · outbound

This paper cites Quantum Grav.

Soliton methods and the black hole balance problem Quantum Grav

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.935071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.398522Z digest=sha256:16549325c36838df84318d7985e0e3c7041b0e30c30f4edda8a5bb18ba4e95eb

Observation 3e2c0b2b-745e-4920-8143-1bd516790f0b · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:52.916743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.404599Z digest=sha256:81cdfb5f0a853b48114f8d788057ef1362f0c8bc28185514a19135576b32bcb8

Observation 5385042b-593b-4730-88c0-e00e4b609993 · outbound

This paper cites and Hennig, J., Stationary two-black-hole configura- tions: A non-existence proof , J.

Soliton methods and the black hole balance problem and Hennig, J., Stationary two-black-hole configura- tions: A non-existence proof , J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.886495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.411073Z digest=sha256:44465049b0cda92174e7bdfed42ebe1a7cd8398319498f87c95e8b43c6b69802

Observation 02f378ee-9515-4460-9069-b1a4114bf16a · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:52.864626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.420697Z digest=sha256:975198ea49249af7f8a517908bc693defdf2b020a791307259ffadcba735cf84

Observation 763660d5-e1a0-454b-adab-896ce57e41fb · outbound

This paper cites and Kramer, D., Einstein-Maxwell solitons , J.

Soliton methods and the black hole balance problem and Kramer, D., Einstein-Maxwell solitons , J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.845831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.426940Z digest=sha256:99946b2009cfce562b4d03cbd03857ebcefa3b57f4f92afd416b07221afc02aa

Observation d0434022-5293-4768-afc1-22f3cd3d593d · outbound

This paper cites and Meinel, R., Progress in relativistic gravitational theory using the inverse scattering method , J.

Soliton methods and the black hole balance problem and Meinel, R., Progress in relativistic gravitational theory using the inverse scattering method , J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.821142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.434267Z digest=sha256:fcb99248c8e0003425f059d18838de5208e9aa1bb29f80e60f51c60e97ce4da6

Observation 5a30f395-12fc-46df-a240-b27acc049d43 · outbound

This paper cites T., Couch, E., Chinnapared, K., Exton, A., Prakash, A., Torrence, R., Metric of a rotating, charged mass , J.

Soliton methods and the black hole balance problem T., Couch, E., Chinnapared, K., Exton, A., Prakash, A., Torrence, R., Metric of a rotating, charged mass , J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.792548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.440335Z digest=sha256:8e37f0db0d9e6a0b596c1b4f96118fa30dd3efa0550fe0f108292a83987e767d

Observation 98e0fc50-96b3-426e-b603-2aedc495a64e · outbound

This paper cites T., Tamburino, L., and Unti, T., Empty-Space Generaliza- tion of the Schwarzschild Metric , J.

Soliton methods and the black hole balance problem T., Tamburino, L., and Unti, T., Empty-Space Generaliza- tion of the Schwarzschild Metric , J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.773706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.445385Z digest=sha256:e429364400b65e53c53e17cdafc445e3654bd6062324247791c2ad34542db7d4

Observation 4edc0146-0931-424d-adad-12db75fe3930 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:52.755742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.452164Z digest=sha256:6f05a49672f945a24377d5799d9974621e395537ec6d6bdf46ba1ab5d04451df

Observation 3e4aa313-04cf-4c22-9f93-9d6bfbac99d5 · outbound

This paper cites S., Report on waves, Report of the 14th Meeting of the British Association for the Advancement of Science, pp.

Soliton methods and the black hole balance problem S., Report on waves, Report of the 14th Meeting of the British Association for the Advancement of Science, pp

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.737722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.464444Z digest=sha256:1637a9f3af5be64cceb2d0eb9a3974bc33b06e712a3f377018ecb7a37952eb3c

Observation e3a91656-e58c-48f6-83be-939528f8d361 · outbound

This paper cites R., Oscillations and waves (Springer 1984).

Soliton methods and the black hole balance problem R., Oscillations and waves (Springer 1984)

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.715797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.471836Z digest=sha256:574f566646ddb32e5a6d7d09d5ea85b34adb092902c2bf8fa659fc8dff883a86

Observation 5f9aeb6b-355b-4acd-9c2c-d0f00fc15427 · outbound

This paper cites S., Disc-accretion onto a black hole.

Soliton methods and the black hole balance problem S., Disc-accretion onto a black hole

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:43:52.694761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.480550Z digest=sha256:5e4f88aa03041115d8a40918cc61939a2ebf37804db54caf886fa55bc9ad52bd

Observation b07e83e6-65ff-42c8-a641-2c1c5b70dcc3 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:52.676516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.486061Z digest=sha256:88d0f8b5066d231ad7d37f6ca1a895b2c16f52c8ac27e107b4fcd2d7f7a320ae

Observation 7ae6dc59-e399-4c10-8345-1f08fca5bf22 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:52.658421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.492433Z digest=sha256:1238b76c72d0e0dc87f34734e58cacc89e0efcc7e22003705201fab7d54bc495

Observation d1e8200d-b7e1-4be8-ac56-a791c20cdc28 · outbound

This paper cites an unresolved cited work.

Soliton methods and the black hole balance problem Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:43:52.638724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T19:43:52.498910Z digest=sha256:aa42bd4fdf7ec8fd3555c253661793dca13046053a92708ccb7cb84da0081e0f

Pith citing papers

No inbound Pith citation observations are available.