Pith. sign in

Paper Citation Record · LEDGER

Entropic additive energy and entropy inequalities for sums and products

As of 9 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.20813.

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

pith.paper-citation-record.v1
2506.20813 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:02:21.654550Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 393b6eb8-3100-40d4-be98-807aea5d0311 · outbound

This paper cites Balog and E.

Entropic additive energy and entropy inequalities for sums and products Balog and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:22.055986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.570483Z digest=sha256:d7c8d7a73e75ccca9e81eda9cb139328eb3c414ed445cecd2e18467929a5ba47

Observation 967f244e-916a-4fb3-b3ff-9cde62c9fa86 · outbound

This paper cites Control and its applications in additive combinatorics.

Entropic additive energy and entropy inequalities for sums and products Control and its applications in additive combinatorics

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T23:02:21.574931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:02:21.574931Z digest=sha256:75d25c3db0a8e2d99331402b2e62bbffade9aad17d60e3cf8ac3eacbf977f8f3

Observation 66170bc6-70cd-41a2-8f34-87bd909768a7 · outbound

This paper cites Erd˝ os and E.

Entropic additive energy and entropy inequalities for sums and products Erd˝ os and E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:22.045382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.578795Z digest=sha256:1771390765524c045e7ce53dd789c0f988eded1f70d376d0c6554e4a0b0de745

Observation 5145c384-b338-4079-a0c1-92d72ec87d84 · outbound

This paper cites Gavalakis, I.

Entropic additive energy and entropy inequalities for sums and products Gavalakis, I

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:22.036707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.582645Z digest=sha256:0001c2d02634e1a1d4f305d111ee33e8163486b48a2df01a17971b09c0ccd19d

Observation 358e01a0-2ce1-438e-a32e-842a2d125de1 · outbound

This paper cites On an entropic analogue of additive energy.

Entropic additive energy and entropy inequalities for sums and products On an entropic analogue of additive energy

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T23:02:21.585978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:02:21.585978Z digest=sha256:c56a0a0d093ac57267c9639c7ecd27ab310251da0513b2f101903955cd9d5601

Observation 3c758d9c-eb4e-489a-9660-d94e76b2c9e4 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:22.028077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.589635Z digest=sha256:06f7ced49d40f8792ca5932e6fcfacc136d9406439596120b2d0cf95a91d641d

Observation b7ad74e9-eeab-4072-bed5-c5d58c1e7098 · outbound

This paper cites Marton's Conjecture in abelian groups with bounded torsion.

Entropic additive energy and entropy inequalities for sums and products Marton's Conjecture in abelian groups with bounded torsion

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T23:02:21.593086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:02:21.593086Z digest=sha256:8c4ab12c80b70e01db320c70325168f270d74732cc15bac429f4787d33b0fd74

Observation e8f7306e-e414-40fb-a2ab-7e227aef5bf4 · outbound

This paper cites Gowers, B.

Entropic additive energy and entropy inequalities for sums and products Gowers, B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:22.019315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.596498Z digest=sha256:f7a3c6871cb45524daed6a47bea3f6f3621d4da5f6dd59c88256b8771bb95932

Observation a253ce77-a9f8-4253-b404-b74048f137e9 · outbound

This paper cites Green, F.

Entropic additive energy and entropy inequalities for sums and products Green, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:22.010328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.599454Z digest=sha256:dbad040ee2ebafa142c94e4ef6333a3faeef08b61d4c06b742230452e8765ba1

Observation 633d93a8-fff0-4e58-9930-477219797902 · outbound

This paper cites G¨ ul, D.

Entropic additive energy and entropy inequalities for sums and products G¨ ul, D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.999965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.602483Z digest=sha256:f52a01630ad6dac9f988cf140c4634e4260d7088ef6494565058a7e23b9d6dc8

Observation fbb62efd-19b7-4dbd-abe9-34ca6cf510ec · outbound

This paper cites Kaimanovich and A.M.

Entropic additive energy and entropy inequalities for sums and products Kaimanovich and A.M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.989742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.605484Z digest=sha256:8e2f1544eb555c189b577f37a9a7205fbbd55bfdc8acc43db77e5559328c370e

Observation fa301003-45e6-4d06-83a3-24a47702235e · outbound

This paper cites Kontoyiannis and M.

Entropic additive energy and entropy inequalities for sums and products Kontoyiannis and M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.979302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.608653Z digest=sha256:0f58c774da80285337397dffbd78206851006db9924f306d026a831c3cc841f0

Observation 4324ce67-7d51-4637-8312-45495218378d · outbound

This paper cites Lapidoth and G.

Entropic additive energy and entropy inequalities for sums and products Lapidoth and G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.969265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.612422Z digest=sha256:cde763e63633affbb1263a8312f904cc65152054158f41ebf51a741b0f351170

Observation adff833f-abed-4905-bbb8-d3f068decd59 · outbound

This paper cites Lau and C.

Entropic additive energy and entropy inequalities for sums and products Lau and C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.960182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.615443Z digest=sha256:2576a2350fb22e8366f9ef58ed35ee282afce9aadb7bee592e203799299a21fe

Observation 9b9d0031-1745-477b-a238-e355d73b64a1 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:21.950998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.618441Z digest=sha256:8de773cf4aae4c15727912f325ed461d30e18b9cd65bbd6a12db8f2feef6337b

Observation 92b2e372-f356-4895-9b99-cae1072d5f9a · outbound

This paper cites Madiman and I.

Entropic additive energy and entropy inequalities for sums and products Madiman and I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.942030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.621470Z digest=sha256:f6b2a857a1bec6a44e0c5353c25a926476ee12a38fcd56628f625ac5f93a578e

Observation 7f41aa66-7842-4e91-8b57-877f5f2d9681 · outbound

This paper cites Makkuva and Y.

Entropic additive energy and entropy inequalities for sums and products Makkuva and Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.932860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.624555Z digest=sha256:cf02c562c9d4cd809343ad4c61023a95eef2b5f6c1f62dcd1e84d7c2b22d3165

Observation 80859ddf-474d-45ba-9d83-852728b1572f · outbound

This paper cites M´ ath´ e and W.L.

Entropic additive energy and entropy inequalities for sums and products M´ ath´ e and W.L

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-06T23:02:21.804163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.627804Z digest=sha256:87f764103f971cfa8945e5cbfe1c03f82cfc253fd9501386f564e2e7929ba885

Observation 54306b8e-b438-47e3-8b95-4c37ae356077 · outbound

This paper cites Pl¨ unnecke.

Entropic additive energy and entropy inequalities for sums and products Pl¨ unnecke

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.923666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.630780Z digest=sha256:da599b9b682dc779701ee5990af3eb847efdf83b588ea788a4b1a6edeb48290c

Observation 06e01de1-6153-4aa8-bc39-fec88751aa55 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:21.913558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.634088Z digest=sha256:0f54fd0e17c14e03d447d2c14e5d4c72b61782eeb342093bb0bd604afa6afd1c

Observation e5d370ae-3990-4fcc-ad8c-ebdfd7634fa0 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:21.902472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.637196Z digest=sha256:fd32b668d955abf122d40f232fd4641451545e2cdf452ff45363dac0c1893620

Observation 2f02c09a-e97a-494c-96a4-1d4d7abdddd1 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:21.891800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.640202Z digest=sha256:3ecce8cddb25b95c3f183ab729fcf51f4762544627074126878c143cea63327c

Observation 5d851d79-b4eb-438d-87ad-3e4e119c18b0 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:21.880354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.643018Z digest=sha256:2f1d97d7501feacbe449672f8e0da1c83c3f541fb56ef1ce63999ba08039611a

Observation 0207d8be-f06e-4679-b695-0757a61bfa5d · outbound

This paper cites Stotz and H.

Entropic additive energy and entropy inequalities for sums and products Stotz and H

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.870039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.645962Z digest=sha256:4ffcfdd35e2f6f59f0343fa3d2309017f4fe19cff5b9bb39c2cf04484ac98053

Observation 1095510f-8114-414a-8e49-e4ea73106de6 · outbound

This paper cites an unresolved cited work.

Entropic additive energy and entropy inequalities for sums and products Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:02:21.859881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.648907Z digest=sha256:09b2fb7906da3ddc799b78ebe4d714a3c6979627eba97c4909d9f07ccf78bec2

Observation f9901a94-e88f-454b-8fac-f125abeae312 · outbound

This paper cites Tao and V.

Entropic additive energy and entropy inequalities for sums and products Tao and V

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.850325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.651767Z digest=sha256:949e73a1ff7a84826c08d5d42edc6846ea3553b032925874f1bdf7852505764e

Observation fe2146f6-9da3-4de2-8349-6a5371226d53 · outbound

This paper cites Yao and S.A.

Entropic additive energy and entropy inequalities for sums and products Yao and S.A

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:02:21.840568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T23:02:21.654550Z digest=sha256:df6d0ff6fdec457b46a43397f5b84c73c7fa452ccb175de96b75ad07dc918b83

Pith citing papers

No inbound Pith citation observations are available.