Paper Citation Record · LEDGER

Finer control on relative sizes of iterated sumsets

As of 20 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2506.05691.

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

pith.paper-citation-record.v1
2506.05691 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:33:10.978973Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T03:56:47.884532Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T14:19:54.988057Z

Reference resolution

9 of 9 outbound references displayed

verified exact0
verified fuzzy4
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9310c7b-5908-484f-8d1f-9d780546d8cd · outbound

This paper cites Walker, A tight structure theorem for sumsets.

Finer control on relative sizes of iterated sumsets Walker, A tight structure theorem for sumsets

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:33:11.236291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c2934716-51ca-4ec1-aa94-cd9466ac009f · outbound

This paper cites an unresolved cited work.

Finer control on relative sizes of iterated sumsets Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:33:11.224153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1015adbd-82c8-4f2f-9ffe-ba8c5c9b0c72 · outbound

This paper cites an unresolved cited work.

Finer control on relative sizes of iterated sumsets Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:33:11.208914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1c8b75e0-3120-4d30-bb22-8ad7b32aac2d · outbound

This paper cites Kravitz, Relative sizes of iterated sumsets.

Finer control on relative sizes of iterated sumsets Kravitz, Relative sizes of iterated sumsets

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:33:11.196461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 18f98c32-bdb7-496a-b58f-3e40f641760e · outbound

This paper cites Inverse problems for sumset sizes of finite sets of integers.

Finer control on relative sizes of iterated sumsets Inverse problems for sumset sizes of finite sets of integers

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T10:33:10.782121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9965a6a2-319d-42f9-ad99-a86e2740a03f · outbound

This paper cites Nathanson, Sums of finite sets of integers.

Finer control on relative sizes of iterated sumsets Nathanson, Sums of finite sets of integers

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:33:11.184678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 42ef40c8-1bee-4e95-bae1-f5a57d8445b8 · outbound

This paper cites Compression and complexity for sumset sizes in additive number theory.

Finer control on relative sizes of iterated sumsets Compression and complexity for sumset sizes in additive number theory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T10:33:10.854467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e3fb3ce-6cd7-42c1-8018-3d6cf6a2dee4 · outbound

This paper cites Nathanson and I.

Finer control on relative sizes of iterated sumsets Nathanson and I

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:33:11.141898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f636396b-f51d-48d1-815b-a0035c80eaee · outbound

This paper cites A note on iterated sumsets races.

Finer control on relative sizes of iterated sumsets A note on iterated sumsets races

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:33:10.978973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a9ec1417-f3df-4c13-8053-3d777889dcb8 · inbound

Intersections of sumsets in additive number theory cites this paper.

Intersections of sumsets in additive number theory Finer control on relative sizes of iterated sumsets

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-16T19:18:19.396679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4d4ff725-db39-4fe3-a67d-0ccdb44a793f · inbound

Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa cites this paper.

Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa Finer control on relative sizes of iterated sumsets

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:19:54.989295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.