Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T19:51:08.163772Z
Paper Citation Record · LEDGER
On commuting pairs in arbitrary sets of 2x2 matrices
As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 4 inbound Pith citation observations for arXiv:2411.10404.
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, observed 2026-08-16T11:35:30.422184Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-21T23:00:43.620529Z
Reference resolution
34 of 34 outbound references displayed
- verified exact2
- verified fuzzy21
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d8462448-01ac-4e78-b39a-aca65e373a7c · outbound
This paper cites Amoroso, E.
On commuting pairs in arbitrary sets of 2x2 matrices Amoroso, E
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.864682Z
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 c786a6b0-c14e-4950-9211-30f2fb383d37 · outbound
This paper cites Balog, E.
On commuting pairs in arbitrary sets of 2x2 matrices Balog, E
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.849509Z
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 11136405-616d-4b60-ba73-56895cefaf95 · outbound
This paper cites Balog, T.
On commuting pairs in arbitrary sets of 2x2 matrices Balog, T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.832931Z
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 f186d066-6718-4814-99b8-2e3831d22e24 · outbound
This paper cites Bourgain, M.
On commuting pairs in arbitrary sets of 2x2 matrices Bourgain, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.817440Z
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 5ec2aea8-8606-4119-82ca-9d26d8eb1709 · outbound
This paper cites Browning, W.
On commuting pairs in arbitrary sets of 2x2 matrices Browning, W
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:51:08.018063Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2d40e68-cff9-47e6-8fc7-cfc9fcc4c3e9 · outbound
This paper cites Chapman, A.
On commuting pairs in arbitrary sets of 2x2 matrices Chapman, A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.802231Z
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 9240cc5f-c15f-4ca3-8a1f-3c9bb3b0c3ce · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.787343Z
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 cef8a1a0-9e05-4c57-9a44-bcb85afba68c · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.771939Z
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 0828d98f-7096-4e70-b29d-486932a995aa · outbound
This paper cites Eberhard, Commuting probabilities of finite groups , Bull.
On commuting pairs in arbitrary sets of 2x2 matrices Eberhard, Commuting probabilities of finite groups , Bull
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.756917Z
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 b840eb23-1bc3-4306-a8a6-b796ec285380 · outbound
This paper cites Erd˝ os, P.
On commuting pairs in arbitrary sets of 2x2 matrices Erd˝ os, P
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.739115Z
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 828864fd-c314-4664-b64a-f8499d4264a6 · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.723103Z
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 3022da6e-bd70-4adc-ae3a-585f61b097bb · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.707769Z
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 eeafefb8-90cd-40a2-8ea8-b35610773f71 · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.692106Z
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 daae69bc-9917-4bd2-af5b-d7c6daf2970f · outbound
This paper cites On a conjecture of Marton.
On commuting pairs in arbitrary sets of 2x2 matrices On a conjecture of Marton
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:51:08.064547Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3faf2be7-da15-409c-bd7e-e13bff5d429e · outbound
This paper cites Sumsets and entropy revisited.
On commuting pairs in arbitrary sets of 2x2 matrices Sumsets and entropy revisited
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:51:08.229505Z
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 c2a418a7-f0f6-413d-8f27-9773b1831907 · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.676597Z
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 2fb45b29-79ff-4b91-ab89-cd71ffa0dddb · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.660720Z
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 b9ff5c6a-bae0-4d86-9237-8bf7b0a888e4 · outbound
This paper cites Lund, Incidences and Extremal Problems on Finite Point Sets, Thesis (Ph.D.)-Rutgers The State University of New Jersey - New Brunswick.
On commuting pairs in arbitrary sets of 2x2 matrices Lund, Incidences and Extremal Problems on Finite Point Sets, Thesis (Ph.D.)-Rutgers The State University of New Jersey - New Brunswick
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.644768Z
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 157a0665-5796-4844-b6e4-81cdb8f2988e · outbound
This paper cites Energy estimates in sum-product and convexity problems.
On commuting pairs in arbitrary sets of 2x2 matrices Energy estimates in sum-product and convexity problems
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:51:08.207759Z
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 c9a23768-b2ac-48f4-97d0-35dd7a509fdc · outbound
This paper cites Mudgal, Diameter free estimates for the quadratic Vinogradov mean v alue theorem , Proc.
On commuting pairs in arbitrary sets of 2x2 matrices Mudgal, Diameter free estimates for the quadratic Vinogradov mean v alue theorem , Proc
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.629088Z
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 7bca0d33-59a8-4e34-823e-c3cc97fea548 · outbound
This paper cites Mudgal, An Elekes–R´ onyai theorem for sets with few products , Int.
On commuting pairs in arbitrary sets of 2x2 matrices Mudgal, An Elekes–R´ onyai theorem for sets with few products , Int
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.612232Z
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 4d5df351-2464-4485-8d15-5e4123885965 · outbound
This paper cites Mudgal, Unbounded expansion of polynomials and products , Math.
On commuting pairs in arbitrary sets of 2x2 matrices Mudgal, Unbounded expansion of polynomials and products , Math
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.597035Z
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 a1efd2c5-a3f9-40ff-af76-35df179f1893 · outbound
This paper cites Murphy, Upper and lower bounds for rich lines in grids , Amer.
On commuting pairs in arbitrary sets of 2x2 matrices Murphy, Upper and lower bounds for rich lines in grids , Amer
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.578560Z
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 b9cb7173-97b4-49c2-a5f7-b757ff1996f4 · outbound
This paper cites Murphy, O.
On commuting pairs in arbitrary sets of 2x2 matrices Murphy, O
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.563568Z
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 d9444585-f886-4569-acff-07910143b474 · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.548502Z
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 0fed69a8-b9a0-4844-a5a0-8222d5d82788 · outbound
This paper cites P´ alv¨ olgyi, D.
On commuting pairs in arbitrary sets of 2x2 matrices P´ alv¨ olgyi, D
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.532337Z
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 52b8b772-b985-4f3e-b316-124bef3ec53a · outbound
This paper cites Petridis, New proofs of Pl¨ unnecke–type estimates for product sets in groups, Combinatorica 32 (2012), no.
On commuting pairs in arbitrary sets of 2x2 matrices Petridis, New proofs of Pl¨ unnecke–type estimates for product sets in groups, Combinatorica 32 (2012), no
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.515838Z
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 15fd9aed-6a3a-4056-8742-1f91e22ae149 · outbound
This paper cites Petridis, O.
On commuting pairs in arbitrary sets of 2x2 matrices Petridis, O
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.499811Z
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 ec18e6af-d764-4d0a-9516-61e015d16905 · outbound
This paper cites Roche-Newton, M.
On commuting pairs in arbitrary sets of 2x2 matrices Roche-Newton, M
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.483438Z
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 ffc65031-9819-4e2f-a499-0f96d0e6739e · outbound
This paper cites Rudnev, I.
On commuting pairs in arbitrary sets of 2x2 matrices Rudnev, I
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.463697Z
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 d7f9733e-c80a-44b0-8667-210aa640a42a · outbound
This paper cites Schoen, New bounds in Balog–Szemer´ edi–Gowers theorem, Combinatorica 35 (2015), no.
On commuting pairs in arbitrary sets of 2x2 matrices Schoen, New bounds in Balog–Szemer´ edi–Gowers theorem, Combinatorica 35 (2015), no
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.445205Z
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 026fe594-31d6-4a5b-bd89-5e6e82bdec28 · outbound
This paper cites Shkredov, Some new results on higher energies , Trans.
On commuting pairs in arbitrary sets of 2x2 matrices Shkredov, Some new results on higher energies , Trans
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.428605Z
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 ffa3cefb-8b53-4eff-91a4-498496f8e1c7 · outbound
This paper cites Solymosi, Bounding multiplicative energy by the sumset , Adv.
On commuting pairs in arbitrary sets of 2x2 matrices Solymosi, Bounding multiplicative energy by the sumset , Adv
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:51:08.412962Z
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 9cf273dd-2fed-4cff-9fd7-c5265b6203c3 · outbound
This paper cites an unresolved cited work.
On commuting pairs in arbitrary sets of 2x2 matrices Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:51:08.394092Z
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.
Pith citing papers
Observation e508233b-e71b-44dd-b287-7866de6a5769 · inbound
Counting matrices over finite rank multiplicative groups cites this paper.
Counting matrices over finite rank multiplicative groups On commuting pairs in arbitrary sets of 2x2 matrices
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T13:59:06.795258Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aee3de6a-9f22-4b40-86f1-c67f8ebc32cb · inbound
On commuting integer matrices cites this paper.
On commuting integer matrices On commuting pairs in arbitrary sets of 2x2 matrices
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:35:30.422184Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd6718bd-b542-468a-ab59-0139443c64f8 · inbound
Counting $2 \times 2$ integer matrices with a given determinant cites this paper.
Counting $2 \times 2$ integer matrices with a given determinant On commuting pairs in arbitrary sets of 2x2 matrices
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T23:00:43.623079Z
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 aa47c141-496d-4263-9718-f9410606e07d · inbound
On an asymmetric additive energy inequality cites this paper.
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.