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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.263795Z digest=sha256:fbca716fbd8ecf6d114adbe41223994802a67961ae75e3da9dfc04522a222b6a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.269648Z digest=sha256:24ffb89ec4fedecaeabe1bfe7784b9fadc904bb90d6ea2a41e3a27f8052ef751

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.274826Z digest=sha256:559a18da9c18c0cec87086da3b937c898d34c2487b8a1155256bdc4309e03405

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.279752Z digest=sha256:c49cd3fc75dd6859d3dd875511930a4f4ffb7220ff94ed913d0d223dbd55d568

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.284866Z digest=sha256:af57d064e99af7a106f0be7646114e9233998833bc89079d741fe6d927c59712

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.289548Z digest=sha256:dd0f47f7a3cf615c64ab3c52bd341c88dd8e209b3deb7197f02fc5206832b4cc

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.294862Z digest=sha256:e6a86ef67d0c66b616b4f002d6d29879d58938df2868398b43cf48b8c8540688

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.299383Z digest=sha256:8e2eb02031fe00860b1db8a49ead5888776f15b1c54125e5b75f804c7e9b98fb

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.304012Z digest=sha256:0ca5c012b70cb8798ca39b101e80d893d1f6f1a358878f942e17c61719903d69

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.308944Z digest=sha256:9e078cef880ce10136ef10431e7d72fae54d264aba69c6da30bf50e243b348a4

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.313403Z digest=sha256:904fd3f9f7aee8e196300a67bef60c8d436513e5d407c9df6ce6bc0de1f041a8

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.318243Z digest=sha256:da9b28556a6316126fd755a3936186bae30fa21feb2ce2cccd32364722e6f120

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.322745Z digest=sha256:485397850066840281a56be9e4bf5b77d1683178f32c0da500918d617bb99262

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.327248Z digest=sha256:79b0910a4fa210108ada82b6004e2ffd606de46eaa9d95887eaa5f3397237568

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.331630Z digest=sha256:26fdb2a0d1e84d015ab6ebc8ee082a68ee60cd055ab1cb661957dce82a2e1d21

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.336027Z digest=sha256:79a87540561392063a7c65c66028d74904633a73d45e48a0d8dc9d6819e0f17b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.341217Z digest=sha256:d72b66b63400c1b237e3c9540d839905bdf80304d1f53517dbcf4f8fe466f6c1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.346065Z digest=sha256:b28ab12570aba5e49a0fc180cb81542c718a96961e8456c1c24d9d2be389f575

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.350482Z digest=sha256:8c6be597f29bcf41860d029df7ba57304becde171a7d73f31a55b9dff8f92244

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.354760Z digest=sha256:da52661e57e5eee8487cf97eda651beb05b47b87517b6d2ecb88c6f31e3bc463

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.359486Z digest=sha256:7fe495053b3900e1851eab85d4480c11d06c8ca4b9ebf2634c049d86979fcda3

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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.368142Z digest=sha256:f667247baddc10e3822b820f8ec1a0b19ce447da3c4f0e327cc1a584ea5e7dbf

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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-01T04:17:25.416483Z digest=sha256:c9b8708944f1c26a7894c6b23397f1691cca9367075918ad93d7df053469b6e1

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