Paper Citation Record · LEDGER

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality

As of 23 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.05922.

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

pith.paper-citation-record.v1
2607.05922 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T21:03:59.865150Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

28 of 28 outbound references displayed

verified exact0
verified fuzzy15
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cec4f181-b379-4736-bdb0-fa0ea0e24323 · outbound

This paper cites Beckner,Pitt’s inequality with sharp convolution estimates, Proc.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Beckner,Pitt’s inequality with sharp convolution estimates, Proc

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.642281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f6691c00-458d-4810-a776-fb41f16a7200 · outbound

This paper cites Beckner,Functionals for multilinear fractional embedding, Acta Math.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Beckner,Functionals for multilinear fractional embedding, Acta Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.615154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b93a4fbb-4f65-4ae6-9d18-e922e369dc28 · outbound

This paper cites Benedetto,Real variable and integration: with historical notes, Mathematis- che Leitf¨ aden, B.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Benedetto,Real variable and integration: with historical notes, Mathematis- che Leitf¨ aden, B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.628227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d4476a41-71b2-441e-a4a1-3081dc0d536c · outbound

This paper cites Carlen, J.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Carlen, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.638596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ddc8b093-7a95-469a-8ee3-84640bfadc8c · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.626246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c8c0070a-a115-4efb-b61d-7227fba8e299 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.645862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2de9e462-5cd6-4e4a-b2af-9fa80cb66283 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.610847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f13113a0-df09-41f6-b6b2-06d1978c3d4b · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.643828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4fcfa24f-ccd5-4d1a-ad20-f57ce62a88c5 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.640293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e2d5fa60-3eec-4a69-9a57-36b85c4e13b8 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.609383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c1f15ee-4c75-408c-a2fc-ed351c7b661b · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.620949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c29f0c88-f678-4cc5-a45d-3371f3bef1d7 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.638789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 253527af-c0c1-4f32-8e25-c0d7f949e47c · outbound

This paper cites Gilbrag, N.Trudinger,Elliptic partial differential equations of second order, Springer-Verlag, New York, 1977.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Gilbrag, N.Trudinger,Elliptic partial differential equations of second order, Springer-Verlag, New York, 1977

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.619163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 683b5953-9499-4f71-8e38-fcda86accc28 · outbound

This paper cites Hyder, J.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Hyder, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.617055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 10051cc9-5c70-44c4-8e08-7913762f37de · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.633320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 79c47356-736a-4397-84d0-4c892afcdf41 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.661779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e3bcc3cc-3290-4b36-aa74-8df7fc5ede21 · outbound

This paper cites Lei,On the integral systems with negative exponents, Discrete Contin.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Lei,On the integral systems with negative exponents, Discrete Contin

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.631610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 82e4165c-a4a8-4954-a85c-db286493a26d · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.657507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1523efa-435a-4a26-8268-b90267bfbb5c · outbound

This paper cites Li,Remark on some conformally invariant integral equations: the method of moving spheres, J.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Li,Remark on some conformally invariant integral equations: the method of moving spheres, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.636786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 65f9d927-656c-49d4-9750-9885c6aa7755 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.634909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1780d8e8-63a6-448d-8c32-4022af56a84f · outbound

This paper cites Lieb,Sharp constants in the Hardy-Littlewood-Sobolev and related inequali- ties, Ann.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Lieb,Sharp constants in the Hardy-Littlewood-Sobolev and related inequali- ties, Ann

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.631387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6eee099e-aa32-403d-a8a5-a487dd4f1947 · outbound

This paper cites Lieb,Coherent States as a Tool for Obtaining Rigorous Bounds, Proceedings of the Symposium on Coherent States, past, present and future, Oak Ridge, D.H.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Lieb,Coherent States as a Tool for Obtaining Rigorous Bounds, Proceedings of the Symposium on Coherent States, past, present and future, Oak Ridge, D.H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.655167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 779e582b-9e8f-4e2e-b2fd-7a161b7b7a30 · outbound

This paper cites Lieb and M.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Lieb and M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.633145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 800b5c17-b9a2-478e-ad7e-8a2380367f65 · outbound

This paper cites Liu,Symmetry and monotonicity of positive solutions for an integral system with negative exponents, Pacific J.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Liu,Symmetry and monotonicity of positive solutions for an integral system with negative exponents, Pacific J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.652791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4ea8e8b-5c3d-4648-9b2e-9bc89ce75f77 · outbound

This paper cites an unresolved cited work.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-08T21:05:35.648105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0b33c356-786f-4162-98be-305b633545d5 · outbound

This paper cites Ngˆ o, V.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Ngˆ o, V

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.650207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 16d948d8-7819-4fe4-8567-9d5c3dd22be5 · outbound

This paper cites Stein,Singular integrals and differentiability properties of functions, Prince- ton Mathe matical Series, Princeton University Press, Princeton, 1970.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Stein,Singular integrals and differentiability properties of functions, Prince- ton Mathe matical Series, Princeton University Press, Princeton, 1970

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.627274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7955dfdb-4102-4d71-aa1a-fac823c9f70e · outbound

This paper cites Xu,Uniqueness theorem for integral equations and its application, J.

Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality Xu,Uniqueness theorem for integral equations and its application, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:05:35.659800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.