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Paper Citation Record · LEDGER

Optimal Young's convolutions inequality and its reverse form on the hypercube

As of 7 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 3 inbound Pith citation observations for arXiv:2507.06115.

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

pith.paper-citation-record.v1
2507.06115 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:31:46.368142Z

measured 26 of 26 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:13:05.155348Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T01:17:30.674714Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact5
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a58e331b-970f-4d7c-b646-085ff4969a61 · outbound

This paper cites Discrete Brunn-Minkowski Inequality for subsets of the cube.

Optimal Young's convolutions inequality and its reverse form on the hypercube Discrete Brunn-Minkowski Inequality for subsets of the cube

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:31:46.503628Z

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.

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Observation 484dc26e-bbd4-4880-9bc8-394d0fb5cd76 · outbound

This paper cites Sharp estimates for Gowers norms on discrete cubes.

Optimal Young's convolutions inequality and its reverse form on the hypercube Sharp estimates for Gowers norms on discrete cubes

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:31:46.479466Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.269648Z digest=sha256:2fbf23d7844583caa5424a49a40628dfc5735f49d94490acf58320b808dd8611

Observation bd166f4f-f63b-42f5-8ef0-2693c01caa6c · outbound

This paper cites Explicit constructions of RIP matrices and related problems.

Optimal Young's convolutions inequality and its reverse form on the hypercube Explicit constructions of RIP matrices and related problems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.822984Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.274826Z digest=sha256:5a5eacd587ba36cadee2cc02ac3844e967061ec8745cfe30856263ef04f280b4

Observation 932a9aac-e6bc-4876-a7b8-c8f9bef0dc17 · outbound

This paper cites Inequalities in Fourier analysis on binary cubes.

Optimal Young's convolutions inequality and its reverse form on the hypercube Inequalities in Fourier analysis on binary cubes

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:31:46.455281Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.279752Z digest=sha256:c7fc8423b2b0b32bb6e5601c173ba08b5e1b884f1696ec70724299ff632bb85e

Observation 675f3302-1994-47e4-b0eb-b7b6e545a14a · outbound

This paper cites Additive energies on discrete cubes.

Optimal Young's convolutions inequality and its reverse form on the hypercube Additive energies on discrete cubes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.803997Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.284866Z digest=sha256:084b30d5a65110d5481785945cdeb3932eebb173e946efd9b1b84c1902cbd4d6

Observation 27a0c509-41d0-4f0c-8471-5baecc7548e6 · outbound

This paper cites Hajela and P.

Optimal Young's convolutions inequality and its reverse form on the hypercube Hajela and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.786814Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.289548Z digest=sha256:edacc634c95ba500acf2e4480191a993a870ea30d1462ad3ee907539dea9339c

Observation 9bfa05b6-5590-4dcb-8620-7c498439ab76 · outbound

This paper cites A bound on partitioning clusters.

Optimal Young's convolutions inequality and its reverse form on the hypercube A bound on partitioning clusters

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.769478Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.294862Z digest=sha256:ad2b64d9b690d8b3d66d86380d06d5c2f00ec49b2bae1b3bf908f3f63cf6a3dd

Observation d9691a60-0097-4699-99d8-4b7aeac400ec · outbound

This paper cites Leindler.

Optimal Young's convolutions inequality and its reverse form on the hypercube Leindler

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.752136Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.299383Z digest=sha256:b8a138243613ba81ae3bdd6c9f411992f172b02c6962baeff04fcc2e3f7f4b8d

Observation 2971ce90-f33d-4230-8b2b-b056c8f180a5 · outbound

This paper cites Shkredov.

Optimal Young's convolutions inequality and its reverse form on the hypercube Shkredov

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.734663Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.304012Z digest=sha256:a787d6c0b4d16fd6e86b92727bad70951288aea2cc7f26aaa43df88e5f3ea8b2

Observation 495c1408-b199-4521-bb47-8559e66d8030 · outbound

This paper cites Energies and structure of additive sets.

Optimal Young's convolutions inequality and its reverse form on the hypercube Energies and structure of additive sets

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.714970Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.308944Z digest=sha256:31197b0794d6aed6e411c882beebff84a2392ba8134f6379d5ef5ad70199c10c

Observation e4fa8083-ec56-493c-ae39-9a81c2b1497e · outbound

This paper cites an unresolved cited work.

Optimal Young's convolutions inequality and its reverse form on the hypercube Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:31:46.697682Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.313403Z digest=sha256:7aad7974b06357d80b7f50bdf06bf1c1594e6a1fb4ce03f9625699198b29dce6

Observation 56ad6965-e613-44c9-ab67-f4af049682fb · outbound

This paper cites Bourgain, S.

Optimal Young's convolutions inequality and its reverse form on the hypercube Bourgain, S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.671290Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.318243Z digest=sha256:7b45aeeddc021e8100520e40256143f872238bb064f4c28791c2d41e26a7eefa

Observation 0a1615af-38d7-4efc-8f0e-909bffc54dc7 · outbound

This paper cites de Dios, R.

Optimal Young's convolutions inequality and its reverse form on the hypercube de Dios, R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.652795Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.322745Z digest=sha256:05a0ff7dad91075463e3f4517dc315711a9641e4fa0f741eb95ddca8b50a1122

Observation 0d3c1ff1-a89b-4957-ab3a-62ce6aa0d89e · outbound

This paper cites Fish, Ben Lund, and A.

Optimal Young's convolutions inequality and its reverse form on the hypercube Fish, Ben Lund, and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.633967Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.327248Z digest=sha256:ca09a8c669fcf23865f630196b0c3adbe3a70911cafb23966c1e472c5f8de6cd

Observation 2f5696d8-27b6-461d-8e95-9d5603c49f34 · outbound

This paper cites Gyarmati, M.

Optimal Young's convolutions inequality and its reverse form on the hypercube Gyarmati, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.618570Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.331630Z digest=sha256:92fbc6276ca964780eb152fa792839aa7b8af33e63e80168117c8c7593696912

Observation 664f63bb-7185-4ad2-9131-8ad5005a1773 · outbound

This paper cites Green, D.

Optimal Young's convolutions inequality and its reverse form on the hypercube Green, D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.601844Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.336027Z digest=sha256:9181bd74efbaea3d212daec7a5f35d6b27207fc4bae2a1d664c8aaf38bbe39ac

Observation ce437220-8057-430d-8366-1b7ba1f85aa9 · outbound

This paper cites an unresolved cited work.

Optimal Young's convolutions inequality and its reverse form on the hypercube Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:31:46.584614Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.341217Z digest=sha256:36c36bf023a8f6c767e19661cbce126ebe68691dda4afd11ec962bd08d8169e8

Observation 3c712501-bbdd-4038-8436-0e2a866ae0be · outbound

This paper cites Hanson and G.

Optimal Young's convolutions inequality and its reverse form on the hypercube Hanson and G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.568754Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.346065Z digest=sha256:2bc50a9c3128ff9df42940719631f73b76d4459be595732183a9f0de99f67de4

Observation d9cbea1d-2730-48a7-a48b-a7343063bbe6 · outbound

This paper cites Ivanisvili, Convolution estimates and the number of disjoint partitions, The Electronic Journal of Combinatorics, Volume 24, Issue 2 (2017), Paper P2.43.

Optimal Young's convolutions inequality and its reverse form on the hypercube Ivanisvili, Convolution estimates and the number of disjoint partitions, The Electronic Journal of Combinatorics, Volume 24, Issue 2 (2017), Paper P2.43

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.553182Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.350482Z digest=sha256:2c66eec0f7ae7d69beb4a273cd571a3c452bd44fb2bdfa503974dc6fb664350f

Observation 35d40614-5fd1-48be-b5f1-e8bc250144f4 · outbound

This paper cites On binomial sums, additive energies, and lazy random walks.

Optimal Young's convolutions inequality and its reverse form on the hypercube On binomial sums, additive energies, and lazy random walks

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:31:46.431443Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.354760Z digest=sha256:cb135e5c3bc3f7bf4642eabc8a4624902b28440734d7a74a2fca319039b681d0

Observation 27c2f468-0fcf-4ced-92c9-993d5a0f2aed · outbound

This paper cites Kane and T.

Optimal Young's convolutions inequality and its reverse form on the hypercube Kane and T

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:31:46.537984Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.359486Z digest=sha256:8d461f5d9c65c5513d9b39c6a1f59a53b7759983812e0bc279ec4f299e376ce0

Observation 063f5ad5-c962-4e7f-87b1-d21bc206fb6f · outbound

This paper cites Matolcsi, I.

Optimal Young's convolutions inequality and its reverse form on the hypercube Matolcsi, I

Reference 22

Resolution
verified exact
doi, observed 2026-08-06T19:31:46.406050Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.363775Z digest=sha256:9b3b34e0478d148cf593a37e8a24fbd6943f860c6208eed36ba6d09133387db9

Observation 6f5a5950-8000-497b-9555-311295133225 · outbound

This paper cites an unresolved cited work.

Optimal Young's convolutions inequality and its reverse form on the hypercube Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:31:46.521507Z

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.

source=arxiv_source observed=2026-08-06T19:31:46.368142Z digest=sha256:469a6584d5bdebf991679611beea50c15dc6e6c1657c06ced1f7aa71fa536ced

Pith citing papers

Observation 0884e1a3-b3cd-47f8-8852-bb4c30eb8ace · inbound

A spectral correlation inequality for increasing Boolean functions cites this paper.

A spectral correlation inequality for increasing Boolean functions Optimal Young's convolutions inequality and its reverse form on the hypercube

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-03T01:17:30.676627Z

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.

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Observation ce666652-1f55-4a4a-8413-db56bb887e0d · inbound

The sharp diagonal spectral correlation inequality on the discrete cube cites this paper.

The sharp diagonal spectral correlation inequality on the discrete cube Optimal Young's convolutions inequality and its reverse form on the hypercube

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:35:43.237911Z

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.

source=pdf_text observed=2026-07-01T04:17:25.416483Z digest=sha256:bf4bafeba1ebe8ffe24e5b1cbd3de1bb63f86f1f886cfa2c11863f3e1b04a582

Observation 9b5fddbd-9256-4e4b-aefb-37a9dd84eee2 · inbound

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families cites this paper.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Optimal Young's convolutions inequality and its reverse form on the hypercube

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T07:13:05.155348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:13:05.155348Z digest=sha256:add45bad722e591e755ccb7a888a5dee47ba2d7bb318b3ae1572fe0d794931a3