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Paper Citation Record · LEDGER

Additive structure in convex sets

As of 10 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.

pith.paper-citation-record.v1
2509.01568 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:37:08.598410Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

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 2026-08-09T06:31:02.800959+00:00.

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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.

source=pdf_text observed=2026-08-05T12:37:08.515785Z digest=sha256:bff8ce9dc48c8feeb0daf5394308ca84b61a5a4ee3996936c5473f72f61f967b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.520874Z digest=sha256:8655034461c571c98a2a18d30cd86ccdf042dcf8aa3bc1c0776b99c32f794fed

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.526750Z digest=sha256:512552b18479ffd2a7d20822f418aa40e6bd5162175f530b650223d713b806b5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.533211Z digest=sha256:db2920dddb8fd0399ce0f9343d65b7cb9b17dc1578af90a3c2ed9973bc82906f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.539028Z digest=sha256:ee29524159300bb3102d3e0117375091f2413138cfa35f6668c52f648a884efc

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.544303Z digest=sha256:b2cbbcaea6194fb927f7fa34e54d9e20d984af2d329a9591e7a345df924182da

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.549859Z digest=sha256:247e39ffb2bcc1109a61abd3fd7259a3345aad009e7f93fc65967b604b014899

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.555365Z digest=sha256:8fed0761a45d9721708db7d5134c4297f5e784b6aad4c3d16fa87445f237d7f4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.560461Z digest=sha256:81f72b6f3cd575c228ef22ef67cbba56d5a20c6d9874d2eb96f785b38b6486d4

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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.571909Z digest=sha256:8c85ab268e3c58ca969105e07b3f0fd269537b650c54d29a76e26da96ddc7a31

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.577385Z digest=sha256:e3f0823bc13f358b04e26ea3cb97822cedce3014d824a117716fdeb500a16315

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.582769Z digest=sha256:5478ba52ba9f0a830369d44f638ea5bca5491239ed1178d95537fd3dab2dd2c9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.587605Z digest=sha256:8bf54fff193f190d53031a41d5bcc09602d0f6ae4413dcad99c4573cb909c805

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.593179Z digest=sha256:598701f45fc96a1d67238569d940ecdbd1931db458bd4d02812d29ec0de9059f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:37:08.598410Z digest=sha256:4533ad65e54cb1a531026d64462ec032f3ec079a7650e0194aa3d9b53d764b49

Pith citing papers

No inbound Pith citation observations are available.