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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

verified exact1
verified fuzzy34
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.645494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.626868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.609023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.589641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.571340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:43:53.553634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.530712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.510170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.476526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.457606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.439946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.421117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:43:53.399464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:43:52.608087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:43:53.379539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.360165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.342245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:43:53.323666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.304148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

This paper cites Quantum Grav.

Soliton methods and the black hole balance problem Quantum Grav

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.279811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.258463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.240266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

This paper cites Quantum Grav.

Soliton methods and the black hole balance problem Quantum Grav

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.219049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:43:53.199570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.181437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T19:43:52.313156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T19:43:52.319707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.162729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:43:53.143394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.116382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

This paper cites Pure Appl.

Soliton methods and the black hole balance problem Pure Appl

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.093611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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; raw_fallback, observed 2026-08-10T19:43:53.070848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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: verified fuzzy; raw_fallback, observed 2026-08-10T19:43:53.048450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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; raw_fallback, observed 2026-08-10T19:43:52.986537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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: verified fuzzy; 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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.