Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:37:08.598410Z
Paper Citation Record · LEDGER
Additive structure in convex sets
As of 14 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.01568.
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 2026-08-14T06:32:32.682623+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
17 of 17 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a0de5f5f-19e0-4b30-bbc9-dbb8afddfa18 · outbound
This paper cites Large convex sets in difference sets.
Additive structure in convex sets Large convex sets in difference sets
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.989656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e07a0469-c1cc-49fc-8447-d07fea9b0eee · outbound
This paper cites Control and its applications in additive combinatorics.
Additive structure in convex sets Control and its applications in additive combinatorics
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:37:08.515785Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a8404c8-c4c8-4de6-9496-470a6fc52dc0 · outbound
This paper cites an unresolved cited work.
Additive structure in convex sets Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:37:08.971134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ce9e07bc-2799-4ea3-83f2-11c22fe41aa7 · outbound
This paper cites Erd¨ os and G.
Additive structure in convex sets Erd¨ os and G
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.952163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4c0c1574-e6b4-42d9-b95e-f0017b5676f3 · outbound
This paper cites an unresolved cited work.
Additive structure in convex sets Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:37:08.932178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 73dfeab5-b678-4e71-a346-920bfa0cb701 · outbound
This paper cites an unresolved cited work.
Additive structure in convex sets Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:37:08.906583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 79bd0116-3fb5-4c56-b59d-9fdb79dfe266 · outbound
This paper cites Koml´ os, M.
Additive structure in convex sets Koml´ os, M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.889179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 791a2795-4319-4676-9e33-5267bdbef442 · outbound
This paper cites an unresolved cited work.
Additive structure in convex sets Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:37:08.869328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 382460ae-2228-4309-b96b-9587f96764eb · outbound
This paper cites Roche-Newton and A.
Additive structure in convex sets Roche-Newton and A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.852395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 91af6fbb-cb86-4c9a-a921-ca065126c396 · outbound
This paper cites Roche-Newton and A.
Additive structure in convex sets Roche-Newton and A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.835371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ba7b1f70-3824-40e7-9dac-4e0d0cd989d7 · outbound
This paper cites An update on the sum-product problem.
Additive structure in convex sets An update on the sum-product problem
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.814456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2f2ae7a6-154a-4b95-ac3a-120a75eff6bf · outbound
This paper cites Ruzsa and Dmitrii Zhelezov.
Additive structure in convex sets Ruzsa and Dmitrii Zhelezov
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.784435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f8cc2199-503a-4fff-8a58-2483ccf221c1 · outbound
This paper cites On convolutions of convex sets and related problems.
Additive structure in convex sets On convolutions of convex sets and related problems
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.760297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d353067a-97a4-4e20-9778-959849b769a6 · outbound
This paper cites Shkredov.
Additive structure in convex sets Shkredov
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.738836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 39a98639-5b71-4c2d-b8e3-030b03600e85 · outbound
This paper cites an unresolved cited work.
Additive structure in convex sets Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:37:08.713102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 48e219ff-9e27-4b99-9298-db242d097b0f · outbound
This paper cites an unresolved cited work.
Additive structure in convex sets Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:37:08.689066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 431dc851-f805-43ef-a0ce-b5ed49778ff2 · outbound
This paper cites A theorem in finite projective geometry and some applications to number theory.
Additive structure in convex sets A theorem in finite projective geometry and some applications to number theory
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:37:08.668612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.