Paper Citation Record · LEDGER

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities

As of 8 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2505.21015.

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

pith.paper-citation-record.v1
2505.21015 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:56:21.143616Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:00:38.344121Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T15:00:38.462280Z

Reference resolution

45 of 45 outbound references displayed

verified exact1
verified fuzzy25
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 620e798b-5d02-424c-beaa-1b3497aa767f · outbound

This paper cites Badii and A.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Badii and A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:28.282588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation efd73bec-670f-4def-997e-1e6f56c17481 · outbound

This paper cites Chhabra and R.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Chhabra and R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:27.998334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ad91be9-b8e7-4b5e-98e1-249d575dd188 · outbound

This paper cites Beck and F.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Beck and F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:27.784534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 06b71d80-d4db-4899-949b-89ea2439f684 · outbound

This paper cites Harte.Multifractals: Theory and Applications.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Harte.Multifractals: Theory and Applications

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:27.535582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f6629578-0f5d-4360-bf4d-15d970d95621 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:27.285064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cca98d96-a522-434f-b18a-53b057e34e96 · outbound

This paper cites Jizba and T.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Jizba and T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:27.006695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b0f01ae7-bb44-434e-b17a-da1943616a04 · outbound

This paper cites Jizba and T.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Jizba and T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:26.735654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45d875a2-86ab-4600-b4b8-248f07472139 · outbound

This paper cites Vignat and J.-F.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Vignat and J.-F

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:26.558096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation de3477bb-8f68-4454-80ba-416d2049b186 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:26.423795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation db289967-afbb-4a1c-9455-03982cd359b4 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:26.294698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a448b78a-22c8-4db9-a4c5-4a6228661b4b · outbound

This paper cites Enciso and P.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Enciso and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:26.150768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d4cc25c5-601b-41b8-92be-a8b16fb36a7f · outbound

This paper cites Bialynicki-Birula.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Bialynicki-Birula

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:26.018957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57cc8399-08f1-4bcb-a8ce-da7f9bf68819 · outbound

This paper cites Bialynicki-Birula.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Bialynicki-Birula

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:25.870863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 80348f39-969b-49a5-8269-841312f294c6 · outbound

This paper cites Zozor, M.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Zozor, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:25.706655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e601947-3a5f-4c00-9a26-e0f7465cb541 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:25.556544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3d2f9afb-038e-4e94-b278-1f61e3b77cb0 · outbound

This paper cites Romera and J.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Romera and J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:25.379656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1210327d-99e5-47d0-b76f-9d960263ffb2 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:25.195576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2473cb64-168b-40a6-b53a-9866e7644c19 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:25.067462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e383c91f-5648-4917-849d-76137a5f3d17 · outbound

This paper cites López-García, A.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities López-García, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:24.882110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91377ea5-9a6e-4545-818b-72b94d7e5fd4 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:24.809263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 066e8854-aaa1-42c2-9fb7-a393ff285c20 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:24.752196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 61fa057b-e4ce-4e61-bf84-ec9d03a4b2dd · outbound

This paper cites López-Rosa, M.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities López-Rosa, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:24.529083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5f9e01e-d848-4908-b284-17e0d472121b · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:24.183949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b91a1eb3-161b-431c-89bd-54cc0a05c57d · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:23.931779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aac3fd65-2b87-434b-9a7f-681a1aad9e23 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:23.770453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 95da89a6-d9d9-413f-ad10-7eaeb81a0932 · outbound

This paper cites Dembo, T.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Dembo, T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:23.623463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 584d7d4f-a0d3-43e0-b261-6a53fc5c7747 · outbound

This paper cites Lutwak, D.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Lutwak, D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:23.548676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ca7a963-146a-4133-92be-064cbaf2bcdf · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:23.418097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9d13265-36cd-403f-b331-1cb8cebe1da5 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:23.325549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5922bf74-8bad-4f13-a840-696f85c66259 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:23.209276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd3a1b39-d530-4229-8f45-44eb33bd87d1 · outbound

This paper cites Lasserre.Moments, positive polynomials and their applications.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Lasserre.Moments, positive polynomials and their applications

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:23.116155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 223ed5ed-4fc9-4040-84cc-f06c61636617 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:22.987786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 06d11f45-7385-4608-aa26-06edaf8c83ab · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:22.885175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1fdbb3e0-a5f7-4980-8dc0-253becaf8107 · outbound

This paper cites Biswas and A.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Biswas and A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:22.742491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ee31b48-d708-46db-aacd-088b1e1c13f1 · outbound

This paper cites Puertas-Centeno.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Puertas-Centeno

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:22.595979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8c1f64c8-4dde-412b-8aa7-8163bc576e1e · outbound

This paper cites Zozor, D.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Zozor, D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:22.483340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bbdfb6f8-a2fa-4110-bdde-854b7dbb4bc3 · outbound

This paper cites Puertas-Centeno and S.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Puertas-Centeno and S

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:22.359936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9c8ed21b-9418-40ed-b4ee-0456a89df005 · outbound

This paper cites A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:56:21.334981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60deb3fe-144b-422d-a143-2cda4b6bdaab · outbound

This paper cites Kaniadakis.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Kaniadakis

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:22.239271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bef3658a-7a0f-473b-89a8-1b6d62a97c4b · outbound

This paper cites Rodríguez, Á.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Rodríguez, Á

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:22.099550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e9277b26-6167-49a8-b087-349da21fe6e1 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:21.967937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bbde96cb-c18a-4a71-b1dd-b03b12d690ab · outbound

This paper cites Guerrero, P.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Guerrero, P

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:21.819687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9b05a21-96d4-4989-90ce-2ab72d4f5282 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:21.745728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 08d07811-8ef0-41b1-ac09-84a0d9609442 · outbound

This paper cites an unresolved cited work.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:21.623592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37ea5fab-60ea-478c-a457-80a2cd41ecee · outbound

This paper cites Lutwak, D.

Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities Lutwak, D

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:21.515032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation acc0a87c-e35c-46ee-bb39-b1677d3946f2 · inbound

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

Sharp informational inequalities involving Kullback-Leibler and R\'enyi divergences and a family of scaling-invariant relative Fisher measures Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:00:38.470083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.