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Paper Citation Record · LEDGER

Reversed inequality of the Herbst-type and the related Euler-Lagrange system

As of 23 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.05928.

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

pith.paper-citation-record.v1
2607.05928 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T19:32:42.303956Z

measured 35 of 35 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

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e55b690b-ae39-42cb-8278-02900ba7b0a8 · outbound

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

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Beckner,Pitt’s inequality with sharp convolution estimates, Proc

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.375477Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:57328c741e82cc4fd47e37e8cd4d1d104e60b111f1559ffb44c39a0ab24e9d63

Observation 99bf06e2-9ddf-46c7-8806-d835d7522d87 · outbound

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

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Beckner,Functionals for multilinear fractional embedding, Acta Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.372035Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:45292cf9dd64f6f8add8cfe5d25ceb22b73892ed5ac9fec2c4c07c647487cdc3

Observation 49731fb1-6ce1-4fde-9b38-1d6861d9f56c · outbound

This paper cites Bellazzini, R.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Bellazzini, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.365143Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:e02210d230af6d40344ce6dd0ccef66e88aa6813ce1ae382f270db0b1d82d661

Observation 5c7ae2a8-8fe5-4b03-b0d9-e71f613eef18 · outbound

This paper cites Bellazzini, M.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Bellazzini, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.366701Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:cebd7ababa7644bd30e76da9d4643f00331f279830244374b626d08041b289bf

Observation 67399451-88a6-4a13-8b20-2960919e1e91 · outbound

This paper cites Bellazzini, M.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Bellazzini, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.323414Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:78a709b26d963559fdf073a5e6d68dea157ad6f330ec34770d39efd7a9b94f23

Observation a4a56165-36af-4dee-bc6f-df6bef13a6e6 · outbound

This paper cites Caristi, L.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Caristi, L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.324865Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:f6c39a066049ec036ccddfd4a68ed916b5911747ff23eff0c307c87e67b31280

Observation c3825334-f0e9-47ae-9f81-daccb59a61d2 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.321750Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:823c2834653bb51ff573e3f560c1a4ba055ec4386fce42acbae825617f4e3a8e

Observation 0a5a30c5-db3e-4da5-b255-b5fcfe1bdfad · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.370248Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:2a1b751dddd82e8dbeb0c1e2212f6b2b6915ec4c938839abade84011f11ec5ae

Observation 40d65714-8cfa-4044-a528-d5a07c7fbcf3 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.388260Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:9b65cf8c929b8455fb10e8bff3ec96aafd2d7ef308cdab99f858ac139eea9b46

Observation 18c80fc7-8a08-4aa5-b994-8ed7c6ea83c1 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.390124Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:f7102b9e8989d1447653609ee254dd48c8f3302bf88cf8467925329c8e6ea5d8

Observation fc64d24b-59aa-4b85-86d7-dadf0dbad233 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.368546Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:35ea4b6375034840c9f43a391060d428609186237e3e64cf4edfa8d9f3340ace

Observation dcaea31a-1a3d-4cb1-9bc3-ff026cc1e8b2 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.373661Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:278600f39578c20307ccc9d56f167d3746571c2aabedcf1a03fb1a918dcd3171

Observation 37f9336a-6abf-43e3-869c-6d24584b14b9 · outbound

This paper cites D’Ambrosio, E.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system D’Ambrosio, E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.377259Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:8ab41942f53e73891d0858e4a3f279cb336d9386381cfe65c657ce6399cfea15

Observation e20c0fb8-27f3-472d-8146-763497022b32 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.378873Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:9c30e558f2a3cc67979f20445a3c4b8508c8291cc7b90198ed7af35347d74d0c

Observation 3e7bba91-4c99-4917-a141-91ec866eb134 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.356087Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:b2441e8ff4774ba094aadf240516328cd26d303cf24840218b36fe070abb1d34

Observation 020216e8-cd8d-43a3-acbf-7957ac296c04 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.363426Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:ec386c57aecd98c662a741d19070b1a616bcf3588374dae9a434cca41fcda78f

Observation f9184ac5-018e-4fde-9519-6fd3e0965e87 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.360002Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:f7df7cc06993ded955034c716e8555a36bfb13b1cddd8e1939168e7589009c05

Observation c5109aff-ca88-444e-8fb2-9b9936c121fa · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.347423Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:a4e8daebc58c25c47ff293663166b52f10b5f86163961995432c54a797a22607

Observation 015a371d-de5b-4cd3-843c-160f94daa6cc · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.342363Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:4e04e5375aab41e19acd8f49eba4623a55d3292a9d63edb64710eb9aa12f29be

Observation a702c10b-1240-476d-b0ba-a235aaa0eb8c · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.353711Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:cf2a5fe2ea83bb44abadc258ef78fa57405c8eb26f4aaef5b2267d43e70d29f9

Observation 5a8e4d24-0c0d-4a82-a107-0671d26af8e6 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.361742Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:a320e6e76a19eb9ba325c9acf1ff51675f051ac9d29f5eb40e113e08780965d0

Observation a7f4f8eb-df65-4451-b5ca-fe2822d68138 · outbound

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

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Li,Remark on some conformally invariant integral equations: the method of moving spheres, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.380715Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:3b57492763231f304e55081d36ac42a4dc6ae42d575bb221eabbcc40f7510a2a

Observation 6ac018bb-8ad4-43c1-872a-6e42aae0a3f1 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.383691Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:df584c2ecc41a95e3438a2445db01e0a04909f6c532bf3bb22a75de7bc6a7d7e

Observation dd9a3710-d5e2-42d4-ad84-ebf19ffad828 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.385495Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:e642f95d1383c0346a08f22c8a7bf63ca41b88af6596f06c154f83727b3985fd

Observation 00678623-0dda-44f8-9d4a-3fbc21df0c3f · outbound

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

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Liu,Symmetry and monotonicity of positive solutions for an integral system with negative exponents, Pacific J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.335579Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:bbe6f6f348f9051a0c37ce6105550557114d512f8bef4454219d8a2433d0214d

Observation 859f6cd9-6c3a-492b-9594-5050a41115f6 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.337569Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:1535d1aade2f16e745b4a934d889c6edef30a0676d8b112c57046ea5c747c333

Observation 6a21004f-b5d4-4460-b023-d17c32ac62e4 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.331423Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:e8b3e1af614cdfbc3314b616ed6fa0cd86099f26e001a382a2e4b7e125cc00bb

Observation 36acbab1-e1f4-44a7-a89e-75c63e0b4588 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.333884Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:9691337fd1e550418fbb57157ceef82c0ad52626d9b44e81191b9063278ef652

Observation c8e49bc3-de4c-48b3-9109-832faad42be3 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.338973Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:cbe3d8e17b7b05ad39107d27d1313bc95dd421a9910bbb212bdb63fca1b8f00d

Observation c433245a-a2e3-45c1-a92e-dddd5581b36a · outbound

This paper cites Mercuri, V.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Mercuri, V

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.349633Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:7f98ee70f17dddfa3833911b5b81429fef936f41898661baad0532da654e9aee

Observation f795fdfd-be4e-4c5d-9d07-eccec6f95a14 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.326582Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:acf9704cea52896619c61a616535100b73d79949e81426eaea1125e59cc963af

Observation cd2a73b6-f2de-4c1a-b238-033a607a3326 · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.329848Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:43de4150f56fc9e07f6827d79af3e7b21a21ee7c0c4fd867ecd4521ec7c5807e

Observation 1d5da1f3-d143-4889-8c04-d13bfc393f1a · outbound

This paper cites an unresolved cited work.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-07-08T19:35:33.328075Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:6844eb0c6c491f13cb97d67ededaf78fbd73dd8370914850398d57f9e42ace85

Observation 3580f599-9698-4ce3-b597-00995654c1fc · outbound

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

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Xu,Uniqueness theorem for integral equations and its application, J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.351747Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:e266bfe1e6aa4fdf55398daa2a0d9f8b24674e056bd7fcc08f509932223180ad

Observation 3f4c107f-e553-49e8-9ccf-df602a5f65db · outbound

This paper cites Ziemer,Weakly Differentiable Functions, Graduate Texts in Math.

Reversed inequality of the Herbst-type and the related Euler-Lagrange system Ziemer,Weakly Differentiable Functions, Graduate Texts in Math

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T19:35:33.358253Z

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.

source=pdf_text observed=2026-07-08T19:32:42.303956Z digest=sha256:094be5c5dac5abc74ac83daf73a80876bc6c986f5698af4659884978c333a1a5

Pith citing papers

No inbound Pith citation observations are available.