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Paper Citation Record · LEDGER

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.20069.

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

pith.paper-citation-record.v1
2507.20069 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:59:27.711726Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

34 of 34 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 17b45007-a68c-4d0f-a0fc-4a8c9e974f3b · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:28.090755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.592067Z digest=sha256:73cfe4a811b9a60fadef714aeebe638a9c382c6e18678653e2fa6cb3fa4583c4

Observation 9e3a6df4-5534-4c8c-a4c3-25683b540d74 · outbound

This paper cites Baernstein, A unified approach to symmetrization, Partial Differential equations of elliptic type, eds, Symposia matematica 35, Cambridge University Press 1995, 47-91.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Baernstein, A unified approach to symmetrization, Partial Differential equations of elliptic type, eds, Symposia matematica 35, Cambridge University Press 1995, 47-91

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.079870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.596277Z digest=sha256:b01eee78fb0bebe48a14db2e51328ee4d15d7174550929555ad8e04aec4acf94

Observation 5e52e36f-399e-4bb6-923a-c8b506190843 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:28.068864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.600089Z digest=sha256:afe7f7eebde645d3a36f50a9da18578a025f772d08653b413f3fbb18dd5ce87d

Observation f431a184-2182-407a-b48b-05cb6e76cda4 · outbound

This paper cites A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:59:27.747782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.603797Z digest=sha256:1e4215ef4345adb47b8a70db54b8cc097758793b63b41f5ea186494e2fac3413

Observation 418b1a71-9014-4d7f-94e7-f968bcf557eb · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:28.058330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.608151Z digest=sha256:c0ff797863f2e662f1a485534db8b79fc671d4b53af35a9608865d71a23c1d53

Observation 836f9fd8-3142-41a6-9803-53c4a44d6ff4 · outbound

This paper cites Calanchi and B.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Calanchi and B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.048138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.611884Z digest=sha256:46d3a61fb2c7e80c8edf474becf108fb45e5ee97b35bdb5b068a092486843dd2

Observation fcc9628a-96d5-4d1c-985a-d88efd808085 · outbound

This paper cites Calanchi and B.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Calanchi and B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.038062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.615657Z digest=sha256:3a54fae4c05cbc7c9f6662f7afd2fab7b2f02e403eafd11933375cd1ea45e9a6

Observation f21dc359-2a49-42bb-83f7-dac702539756 · outbound

This paper cites Caffarelli and L.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Caffarelli and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.027992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.619303Z digest=sha256:6b953c38d2b7366097cce11bb0e30ec43adfa7ac2c9186a3569b26fa6211e0c3

Observation 4dcd2b1a-d42f-4713-8baf-5a88a9afd08f · outbound

This paper cites Cingolani and T.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Cingolani and T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.017780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.622766Z digest=sha256:f145ca86a5cb98410d189167765dd5e6a293b8d269f8f85fcbc1a6c23bc286e2

Observation 930694c0-db15-450c-9899-d5cc2201b084 · outbound

This paper cites Cingolani, T.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Cingolani, T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.007611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.626253Z digest=sha256:2afbdaca7e84be104eb7348e914d069de56ef51b57930aeebcfd40b96c3464f8

Observation 38a2ce31-6172-446e-b4d4-a7434185edc3 · outbound

This paper cites Caglioti, P.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Caglioti, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.997167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.629704Z digest=sha256:03e1571ac9bb76c92b214f0e83a7265cc95f87119675acaa87799f0c17ac825d

Observation 92dd663a-b71c-429a-884c-002585bb98b4 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.986068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.632923Z digest=sha256:a6d16620e9bd0d13222aea87fbfc5adb5d03c54e756b7cc9c40ce560ce3f7006

Observation 9cd86d84-2608-49df-8ca8-da0dd8c96da0 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.976301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.636575Z digest=sha256:dbedb501e84ab6ec0ae8f52b20c08d36943519c561993906c7df066cebba8323

Observation 88c90cbf-b1c6-4666-a903-a32bb9e0fbfe · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.966840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.639855Z digest=sha256:e843859a07f590ca0372ed42ff4efba07e921731732b53db72cca2dee8f6e5d7

Observation 5d59e2c4-943a-4123-b389-c73d9db8e536 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.957753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.644036Z digest=sha256:4427099613f68e2ab70db9d23f0a37dbca36c517eaa2ff5a8f8116865b6b4288

Observation 35f519bc-f7ca-4e8e-a1d4-af6939eb7250 · outbound

This paper cites Dolbeault and B.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Dolbeault and B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.948274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.647452Z digest=sha256:b922e72b188287b3bcde02a94e0c511aadf72d63ddb25f82cd620af766fbeab7

Observation f6cbb4de-808c-44d4-b59a-f00073bb9ea3 · outbound

This paper cites Di Nezza, G.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Di Nezza, G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.937736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.650636Z digest=sha256:40550b8a6aff6be28cda322c99c9e889a0d8d67e61ebe42d9d9a57d36b8c2a3d

Observation d8a62a2c-7d69-4f41-87de-d08124f5c642 · outbound

This paper cites Felmer, A.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Felmer, A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.927568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.654016Z digest=sha256:2869f0a087f761a44436cf0c4c91c114f76199ff76e04a4cbd39fca9108a76fc

Observation 411eb984-4e65-4289-9055-737bf275f271 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.917181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.657435Z digest=sha256:856612a44fc5b9ba8f5843d8b59219bea616fc4901f22fb4d192fb8492ceb876

Observation 045f7d3a-2c3b-460f-8535-6010e7146ae3 · outbound

This paper cites Hyder, Moser functions and fractional Moser-Trudinger type inequalities, Nonlinear Anal., 146 (2016) 185-210.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Hyder, Moser functions and fractional Moser-Trudinger type inequalities, Nonlinear Anal., 146 (2016) 185-210

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.907029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.660925Z digest=sha256:4d46b13931571fbfdfe5098b509e197fd4169036b5c322e5e9784a6972015c51

Observation 2b16f320-8e29-410e-9fe6-03830d61edbf · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.896368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.664700Z digest=sha256:a47e3aa65037499c8665431ee502c36152bea1c22dfb625d49f63823f746add3

Observation b40d5d50-3acf-4aae-bf96-76d40e8232f6 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.886371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.668265Z digest=sha256:6ba130e05e72832c3bf85a91eb7a0a6cd7e568911211d580244797b738fc72b1

Observation 46d2e6c2-0dfb-4c25-a6aa-14b1c9090c77 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.876549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.671480Z digest=sha256:21f3eb1e7c442a6f05f070a778ed5c9518bdfa6f7dfa85aa5d56fbb7cb952c6d

Observation b940f773-b888-4383-b62b-02528cd5e329 · outbound

This paper cites Moser, A sharp form of an inequality by N.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Moser, A sharp form of an inequality by N

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.867090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.674907Z digest=sha256:2628b8f37e273167bed4d7437258906a5d71e12d18964801aef625b84de4e57d

Observation f6484990-c13f-4b92-a679-d143882872d6 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.856438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.679050Z digest=sha256:13bfb405cfb4f8501373ec08e353b710e08b8bacf2526d00e9b4209b5f68cf99

Observation c50af1d4-1a55-40ae-ab95-8c386d1085e9 · outbound

This paper cites Polya and G.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Polya and G

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.845659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.682635Z digest=sha256:581294809369f91fd2e3109ba8be473102b4d927881ddc43f4f9c850e1478c14

Observation 3137a801-f341-4cce-a2d5-14a50fe268ef · outbound

This paper cites Polya and G.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Polya and G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.834866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.686274Z digest=sha256:d0dc31cb7619626c58bc2fc5b476f1d981c9f62ef30b1a2e824c3f9b67d34963

Observation 00729228-e89a-45f4-9e77-8fdeb1c4a180 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.824540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.689728Z digest=sha256:a659529ddefceba9879b0f05d6febed605efcfea10cf50bdf2295d33e0fc1bb5

Observation 4e752caa-1344-47fa-8dad-a31713ff8d52 · outbound

This paper cites Roy, Extremal function for Moser-Trudinger type inequality with logarithmic weight, Nonlinear Anal., 135 (2016), 194-204.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Roy, Extremal function for Moser-Trudinger type inequality with logarithmic weight, Nonlinear Anal., 135 (2016), 194-204

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.814581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.693412Z digest=sha256:f490f79f6a1cc66c9d21544cbaa52b4e0482061411d05ef928058c2df643359c

Observation c5fe1237-da3f-4589-9074-8d3f5035f2e1 · outbound

This paper cites Roy, On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions, Discrete Contin.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Roy, On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions, Discrete Contin

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.803622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.697968Z digest=sha256:90b5a51253374127bc3d8a98e378701a863251b7ee05843f0ee06b78c0aeef7b

Observation f394a5d3-edac-489f-8359-e7a0f52cd987 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.792311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.701484Z digest=sha256:c7c43a9e32e47a5476f9932884c24f3869948113b6c93eb66202c07ccde54d1d

Observation 21ea71af-eb67-449c-8538-435a55988d55 · outbound

This paper cites Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.781382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.704960Z digest=sha256:049148e5f1e7312f6dd6d7137dc2a150de55cac717b400fcd4f71e4729dd5ea2

Observation 17a8624d-5590-4cf9-99c5-b76b7f9ea4ed · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.770129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.708358Z digest=sha256:30ac7c6e3955fbb233cf4635b13a34c0b84cee253bd3f66e815834fb9a095e69

Observation 19ae0880-ee45-4cff-ad07-fd860208b767 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.759468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:59:27.711726Z digest=sha256:189b9ea21d4aca1d49c0b016d19787141a74bb9181a33cf8d370accf7314ca4d

Pith citing papers

No inbound Pith citation observations are available.