Paper Citation Record · LEDGER

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.08599.

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

pith.paper-citation-record.v1
2607.08599 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T04:47:04.962653Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

32 of 32 outbound references displayed

verified exact8
verified fuzzy16
unresolved8
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0849a098-7889-422a-9767-356a35e6553f · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.580890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9c0a23ed-d2dc-45f9-be5f-dc479c2228fd · outbound

This paper cites Johnson, Entropy inequalities and the central limit theorem, Stochastic Processes and Their Applications 88 (2) (2000) 291–304.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Johnson, Entropy inequalities and the central limit theorem, Stochastic Processes and Their Applications 88 (2) (2000) 291–304

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.582912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ef28197e-1ad3-4aaf-83d6-895b7e59ae5d · outbound

This paper cites Johnson, A.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Johnson, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.584598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 63e049af-8032-4bb9-8ef6-c3f96e5e7cc1 · outbound

This paper cites Toscani, Entropy inequalities for stable densities and strengthened central limit theo- rems, Journal of Statistical Physics 165 (2) (2016) 371–389.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Toscani, Entropy inequalities for stable densities and strengthened central limit theo- rems, Journal of Statistical Physics 165 (2) (2016) 371–389

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.586514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8bb236db-ec0f-4148-8bc3-4bc5b0d73365 · outbound

This paper cites Pluchino, A.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Pluchino, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.588214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2c7d8efe-60e5-4174-a8d7-7a5aa7f49619 · outbound

This paper cites Umarov, C.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Umarov, C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.579217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dcde0ab5-680a-47a5-9f32-5e6cc6db6705 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.574072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ceb2b636-8088-4081-a66e-c66a59855ea6 · outbound

This paper cites Tsallis, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World, 2nd Edition, Springer, 2023.doi:10.1007/978-3-030-79569-6.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Tsallis, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World, 2nd Edition, Springer, 2023.doi:10.1007/978-3-030-79569-6

Reference 8

Resolution: verified exact; doi, observed 2026-07-10T04:56:45.755806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 261dfaf1-0b00-4476-a224-88978ad49294 · outbound

This paper cites Rioul, Information theoretic proofs of entropy power inequalities, IEEE Transactions on Information Theory 57 (1) (2010) 33–55.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Rioul, Information theoretic proofs of entropy power inequalities, IEEE Transactions on Information Theory 57 (1) (2010) 33–55

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.577573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5cf6e67c-f1ba-4207-9af5-5f174ca66162 · outbound

This paper cites Verd´ u, Convexity/concavity of R´ enyi entropy andα-mutual information, in: 2015 IEEE International Symposium on Information Theory (ISIT), IEEE, 2015, pp.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Verd´ u, Convexity/concavity of R´ enyi entropy andα-mutual information, in: 2015 IEEE International Symposium on Information Theory (ISIT), IEEE, 2015, pp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.572384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 538d6e00-cfe4-40a2-9ccb-02a56003a8b6 · outbound

This paper cites Sason, S.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Sason, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.575742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5912df79-28ec-4202-b108-bac3b7719eee · outbound

This paper cites Yamano, Skewed Jensen–Fisher divergence and its bounds, Foundations 1 (2) (2021) 256–264.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Yamano, Skewed Jensen–Fisher divergence and its bounds, Foundations 1 (2) (2021) 256–264

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.570492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c872c75a-7459-4d13-8328-37b013fb8be5 · outbound

This paper cites Zozor, J.-F.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Zozor, J.-F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.564380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 20fbda08-b4b4-4783-a212-8fa245ca20fa · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.547624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8df2d2ce-999b-4d52-bb48-2a0972e2c210 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-07-10T04:56:45.761254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 25b9cecd-321b-45bd-bbd9-c4d7e9b3d6e7 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.545999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7f2f345e-fa3b-4484-93dd-6452550bfe42 · outbound

This paper cites General properties of entropy.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types General properties of entropy

Reference 17

Resolution: verified exact; doi, observed 2026-07-10T04:56:45.756163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0d9623ab-0439-4927-b37f-4c7be0b2b6a0 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.566137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c498ef24-6fa1-4f01-a4a7-09772f8d1803 · outbound

This paper cites Cram´ er, Mathematical Methods of Statistics, Vol.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Cram´ er, Mathematical Methods of Statistics, Vol

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.559176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4e62cb87-8384-427f-acaa-e893a2e68cf9 · outbound

This paper cites Lutwak, D.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Lutwak, D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.561783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 22023941-635e-4b98-88a4-481542e22e79 · outbound

This paper cites Lutwak, D.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Lutwak, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.567860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b3f070f7-38a2-480a-90b4-e9dc21e82399 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.554209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 32af9d79-642d-41a6-8aa1-272e4d0c2df0 · outbound

This paper cites Zozor, D.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Zozor, D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.557416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 372479fb-638c-453c-9c08-5caa8d427e95 · outbound

This paper cites Puertas-Centeno, S.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Puertas-Centeno, S

Reference 24

Resolution: verified exact; doi, observed 2026-07-10T04:56:45.758413Z

Source-reported events for the cited work

correction dated 2025-10-13. Source: crossref record 10.1088/1751-8121/ae0d17->10.1088/1751-8121/adc960:correction, observed 2026-07-11T03:00:22.994207+00:00. This notice travels one citation hop only.

Observation 7bcd97c9-3252-4709-a9ce-3d458aeff18a · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-10T04:56:45.753462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b805e306-fb23-45bd-a12c-7eca856efea2 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.549163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4d35f921-defd-46ee-918a-fbe7a2529e69 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-10T04:56:45.759342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation baf01f60-1860-46e5-8f27-a90c0a6f11b9 · outbound

This paper cites Sharp informational inequalities involving Kullback-Leibler and R\'enyi divergences and a family of scaling-invariant relative Fisher measures.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Sharp informational inequalities involving Kullback-Leibler and R\'enyi divergences and a family of scaling-invariant relative Fisher measures

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-07-10T04:56:45.961404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation add8810e-a64a-4840-beb2-252688b225d4 · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-10T04:56:45.960071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a5c1579b-17bd-4c60-a265-8ddaab212734 · outbound

This paper cites Bercher, On a (β, q)−generalized Fisher information and inequalities involving q−Gaussian distributions, Journal of Mathematical Physics 53 (6) (2012).

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Bercher, On a (β, q)−generalized Fisher information and inequalities involving q−Gaussian distributions, Journal of Mathematical Physics 53 (6) (2012)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.551018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0bcb3e94-5a95-4dd9-a452-db9fe1e43762 · outbound

This paper cites Dr´ abek, R.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Dr´ abek, R

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.555825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bcd0c701-0107-4877-8ce9-7db2163c122f · outbound

This paper cites an unresolved cited work.

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:06:48.552620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.