Paper Citation Record · LEDGER

On an asymmetric additive energy inequality

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.25442.

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

pith.paper-citation-record.v1
2607.25442 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:36:00.433329Z

measured 24 of 24 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 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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74be940b-71d7-494d-8635-c7c014680ecf · outbound

This paper cites The sum-product conjecture is false for real numbers.

On an asymmetric additive energy inequality The sum-product conjecture is false for real numbers

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:57.283940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50b28c10-000a-4259-a9ae-70308946086e · outbound

This paper cites Bourgain,Estimates on exponential sums related to the Diffie-Hellman distributions, Geom.

On an asymmetric additive energy inequality Bourgain,Estimates on exponential sums related to the Diffie-Hellman distributions, Geom

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:57.343533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 396a507d-f987-465f-9a59-e75ae671d386 · outbound

This paper cites Bourgain, M.-C.

On an asymmetric additive energy inequality Bourgain, M.-C

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:57.542683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43bfdefe-f490-4336-bd9b-6c5cd5250b97 · outbound

This paper cites Chang,The Erd˝ os-Szemer´ edi problem on sum set and product set, Ann.

On an asymmetric additive energy inequality Chang,The Erd˝ os-Szemer´ edi problem on sum set and product set, Ann

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:57.671675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbd89427-53af-473d-a121-6c4a453f1237 · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:57.809768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7043127-266b-4520-b384-62634b39676d · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:57.939523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54898287-b29a-4d13-9fa3-8e8edab67154 · outbound

This paper cites Hanson, O.

On an asymmetric additive energy inequality Hanson, O

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.096075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa297d3d-bbeb-47f9-aca3-65d1d65022b9 · outbound

This paper cites Harrison, A.

On an asymmetric additive energy inequality Harrison, A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.220326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef7ee0eb-8107-48d0-bb60-ab7dd15d2a88 · outbound

This paper cites Hatami,Graph norms and Sidorenko’s conjecture, Israel J.

On an asymmetric additive energy inequality Hatami,Graph norms and Sidorenko’s conjecture, Israel J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.354464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df4f7b84-a02f-40d8-a77c-7dc643d1ddbd · outbound

This paper cites Moriguchi, K.

On an asymmetric additive energy inequality Moriguchi, K

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.509311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7fe12bd-8bb3-433c-acae-1f3ef9fd261d · outbound

This paper cites Mudgal,An Elekes–R´ onyai theorem for sets with few products, Int.

On an asymmetric additive energy inequality Mudgal,An Elekes–R´ onyai theorem for sets with few products, Int

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.668710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 569ed5f4-7b76-460b-b9b0-8abbe086f3ec · outbound

This paper cites Mudgal,Energy estimates in sum-product and convexity problems, Amer.

On an asymmetric additive energy inequality Mudgal,Energy estimates in sum-product and convexity problems, Amer

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.791219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80ca3f29-5321-4d92-9a6a-0b78f5540595 · outbound

This paper cites Mudgal,Unbounded expansion of polynomials and products, Math.

On an asymmetric additive energy inequality Mudgal,Unbounded expansion of polynomials and products, Math

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:58.996773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa47c141-496d-4263-9718-f9410606e07d · outbound

This paper cites On commuting pairs in arbitrary sets of 2x2 matrices.

On an asymmetric additive energy inequality On commuting pairs in arbitrary sets of 2x2 matrices

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.121244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ea2308d-56ed-4708-889d-604ef572ee86 · outbound

This paper cites P´ alv¨ olgyi, D.

On an asymmetric additive energy inequality P´ alv¨ olgyi, D

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.262054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29b6f178-b9ae-419d-8447-9b023a60f53f · outbound

This paper cites Petridis,New proofs of Pl¨ unnecke-type estimates for product sets in groups, Combinatorica32 (2012), no.

On an asymmetric additive energy inequality Petridis,New proofs of Pl¨ unnecke-type estimates for product sets in groups, Combinatorica32 (2012), no

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.413316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83c8f0f4-e064-46ee-ab78-aabbe6775c5f · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.551313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea98a372-5274-4878-93b8-239633bd231b · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.667675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bb1a1ce-cd69-4c42-b811-70fd30a14994 · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.776570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35cb5166-7148-4b0e-8dee-0ef9f8a4f2bf · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.860576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da45bc34-794a-4e21-9404-769c98bc4882 · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T02:35:59.997037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 217427fb-62da-4275-9c4a-97c4a4a85984 · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T02:36:00.144780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d94ded9-3266-4c32-bad7-06f88d675457 · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T02:36:00.264472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b5d0a66-525c-4baa-8284-e6e49d9490f2 · outbound

This paper cites an unresolved cited work.

On an asymmetric additive energy inequality Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T02:36:00.433329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.