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Paper Citation Record · LEDGER

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

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.263795Z digest=sha256:4dc6759ad17d5c7a5329b643aab0b2ba7b4102aa7fac5972f3e5540104317516

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.269648Z digest=sha256:8021f7c04210e3c23a471be443709e63c6e7af8dc86b0e258a6172109ec67891

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.274826Z digest=sha256:4c9190961682a6c6f1be47fa727dbd0f33c3c1c66c6461874838cb988c6eab2c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.279752Z digest=sha256:64e97ca50131cdec738547136c288f63afae3756e6407579804d2e3ff9864163

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.284866Z digest=sha256:87eacddd21b5d4373c83c623f9e74afd78fc68b55aa4a45ef65dc9803daf5a8c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.289548Z digest=sha256:c0191a4ae2a2860c0cd95ef9a09a1b30086f74f814be6e75934a8002d147da66

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.294862Z digest=sha256:0d65e99cbb98ab740dc9e755ed89441bb0f711d5fd147905c6d0064965b6c4c5

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.299383Z digest=sha256:d5de537c6184bfc0393a517755aea32db78e66c1eaa71245d2f82f49fb26087f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.304012Z digest=sha256:17adc9ba544e392ead12365f01e424dc3c5a70aef3f0bf3cf78407f75b279ba1

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.308944Z digest=sha256:3bd68f8257fcaabd3bd4eb800b87c8c7d225f625b575989bdf301cb9b0dab15d

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.313403Z digest=sha256:6cb6080bab5755e25e9279a63448518d1c01be965c692fc19ba063bb02977625

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.318243Z digest=sha256:785f40d6a85fb0ab2c71db76702fb440af62da5aa29a2a0ccf4cc48a9362e56c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.322745Z digest=sha256:78d3367190c7d90bb17b4b8e46cc2cb3285529f4ba2cb73058f1fa525350d229

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.327248Z digest=sha256:2b8796fa3f70e97bcc59ee5b520d7baba6f175802180ac434f25e318854bbc94

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.331630Z digest=sha256:4a36110b2769d84d001b5bc9c6f3cb0ec57b9317dad9a598a7786cdb882c2dee

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.336027Z digest=sha256:6b9787e13dc983348d76bd9b014f6f44c6bd0d306d0f25cabe7c9e8b24a7b359

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.341217Z digest=sha256:b75dbc22084c4a44b4f42ad1de4561cea3415fac3fd46e2af50c35cab5ba8c8a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.346065Z digest=sha256:e14f1d65ee86a15ab154753f556c943ed4a478000c0b6bb2e8e83eaa8d07a2e4

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.350482Z digest=sha256:6c5dc3e094fa3e132a39f68452aeb24cb034d26f5fb8a5085559b49b2f3732f4

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.354760Z digest=sha256:4353f7daf3ca7a5fb2b0254a9ea7923a9cddcf93286bacb85bc5305ad1e708c0

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.359486Z digest=sha256:768330e92b691c9bfed98f130e247d7e317887cf0201483a10c6d9f35d1e446f

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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:31:46.368142Z digest=sha256:c8c76003b84a783a4cc0143108ebb628dad98847dc10c3bd159f0230067e1b1f

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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-01T04:17:25.416483Z digest=sha256:e399a82413b634a6f3293106e9dc000b2a2c78a86ecfcaf6b006769c4f0ca945

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:fe2fb3a8a054dcdab94e336c1f454c9a485ae188b0a5a126858f6f882265e6bf