Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T14:55:05.064912Z
Paper Citation Record · LEDGER
The Entropic Sum-Product Phenomenon
As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.29042.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
29 of 29 outbound references displayed
- verified exact12
- verified fuzzy0
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 556d978f-f46a-4190-b658-62e921ec54ac · outbound
This paper cites Control and its applications in additive combinatorics.
The Entropic Sum-Product Phenomenon Control and its applications in additive combinatorics
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:04.986154Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2cbe149c-3222-428d-896a-103cfdff6200 · outbound
This paper cites The sum-product conjecture is false for real numbers.
The Entropic Sum-Product Phenomenon The sum-product conjecture is false for real numbers
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:04.989806Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ab1f754-5d17-4dc4-a958-047addfcab05 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:04.995004Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 763b4910-76fb-41f1-9cf8-99881fafaeaa · outbound
This paper cites Cushman, A note on the sum-product problem and the convex sumset problem , arXiv:2512.13849 [math.CO] (2025).
The Entropic Sum-Product Phenomenon Cushman, A note on the sum-product problem and the convex sumset problem , arXiv:2512.13849 [math.CO] (2025)
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:04.998183Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26c530d2-d72e-45d0-8c85-60f5f52b2857 · outbound
This paper cites A short proof of Rudnev's point-plane incidence bound.
The Entropic Sum-Product Phenomenon A short proof of Rudnev's point-plane incidence bound
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.001262Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e55804d-f23b-417e-94e6-c0a119f0f39f · outbound
This paper cites Elekes and I.
The Entropic Sum-Product Phenomenon Elekes and I
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.004195Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83532503-ba32-44c1-8152-aa9452b13fe3 · outbound
This paper cites Elekes, On the number of sums and products , Acta Arith.
The Entropic Sum-Product Phenomenon Elekes, On the number of sums and products , Acta Arith
Reference 7
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:13.424943Z
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.
Observation 08f87e47-6929-4325-9c97-03265c5d2364 · outbound
This paper cites Erd˝ os and E.
The Entropic Sum-Product Phenomenon Erd˝ os and E
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.009593Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c83b36f6-b798-4fc7-96c7-618d7a2b2673 · outbound
This paper cites Entropy lower bounds and sum-product phenomena.
The Entropic Sum-Product Phenomenon Entropy lower bounds and sum-product phenomena
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.012043Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9207d25a-9429-49f1-a330-761e43def369 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:13.245266Z
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.
Observation 44ce9231-bcfd-41c6-bdc3-ebb5f80dad66 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.017647Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f79e407-c6be-48e8-96c5-f20fb51d947c · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 12
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:13.010879Z
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.
Observation 361fd0c6-ac41-4b09-b090-99b4fb1c4826 · outbound
This paper cites Green, F.
The Entropic Sum-Product Phenomenon Green, F
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:12.836072Z
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.
Observation 9e7117e8-6443-46a9-b72a-6196f8a583d3 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.025797Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01dd54b8-d212-4e9b-9a5d-e289a6289cd4 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:12.649177Z
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.
Observation 621739a1-3423-417c-af7f-bf5cebe8318f · outbound
This paper cites Koll´ ar, Szemer´ edi-Trotter-type theorems in dimension 3 , Adv.
The Entropic Sum-Product Phenomenon Koll´ ar, Szemer´ edi-Trotter-type theorems in dimension 3 , Adv
Reference 16
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:12.482629Z
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.
Observation 930a64be-bbea-474a-acbf-4004aade8830 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:12.135523Z
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.
Observation 0a3fd84f-2e77-41ae-804d-78b534e02aee · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.036123Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bcea101-b02c-4977-a309-5d24bdf68fb5 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.038660Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ad20af58-1cc3-4c5b-b021-aede74362541 · outbound
This paper cites M´ ath´ e and W.
The Entropic Sum-Product Phenomenon M´ ath´ e and W
Reference 20
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:11.833995Z
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.
Observation d6cbf527-9103-4dba-9a14-dfb0283b9d98 · outbound
This paper cites Rudnev, On the number of incidences between points and planes in three dimensions , Combinatorica 38 (2018), no.
The Entropic Sum-Product Phenomenon Rudnev, On the number of incidences between points and planes in three dimensions , Combinatorica 38 (2018), no
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.043983Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 537fdf57-0941-4e22-88be-e1019a503d2b · outbound
This paper cites Rudnev and S.
The Entropic Sum-Product Phenomenon Rudnev and S
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.046773Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e387d058-4000-44ba-98b1-3eea95a9f7b5 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.049453Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d6c9ce1-98e5-4710-92b9-1339c2f10cae · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:11.660159Z
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.
Observation f03a4540-54d7-4e17-a51e-b7500176f10b · outbound
This paper cites Solymosi, Bounding multiplicative energy by the sumset , Adv.
The Entropic Sum-Product Phenomenon Solymosi, Bounding multiplicative energy by the sumset , Adv
Reference 25
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:11.408283Z
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.
Observation 903fae8d-70cb-4285-b8be-fa75e514dc99 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.057055Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa1dcd35-5384-45a5-8d00-fa0f3d5692b2 · outbound
This paper cites Szemer´ edi and W.
The Entropic Sum-Product Phenomenon Szemer´ edi and W
Reference 27
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:11.051201Z
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.
Observation a4ee0040-ee1a-4370-b8b6-f5ab5daed03c · outbound
This paper cites Tao, Sumset and inverse sumset theory for Shannon entropy , Combin.
The Entropic Sum-Product Phenomenon Tao, Sumset and inverse sumset theory for Shannon entropy , Combin
Reference 28
- Resolution
- verified exact
- doi, observed 2026-08-03T14:59:10.773299Z
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.
Observation 8c6b002c-d98a-4d42-99cc-7b764f3e79d4 · outbound
This paper cites an unresolved cited work.
The Entropic Sum-Product Phenomenon Unresolved cited work
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:55:05.064912Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.