Paper Citation Record · LEDGER

Possible Sizes of Sumsets

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2510.23022.

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

pith.paper-citation-record.v1
2510.23022 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:08:32.328617Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:41:27.120923Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T19:18:19.389194Z

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12e88580-6ac1-4af7-a5b1-0879e23d6c4a · outbound

This paper cites On sums and products of integers.

Possible Sizes of Sumsets On sums and products of integers

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:30.840901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffe10f65-3f9d-43a6-bcfe-3633bf75de6a · outbound

This paper cites Lev and Pavel Y.

Possible Sizes of Sumsets Lev and Pavel Y

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:30.912517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22f6eec4-51cb-4f27-ae06-34cda1f355b9 · outbound

This paper cites Nathanson.

Possible Sizes of Sumsets Nathanson

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.092909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5defbbfb-5e0a-48f0-9444-56900fbb2ef9 · outbound

This paper cites Nathanson.

Possible Sizes of Sumsets Nathanson

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.226777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca30213e-63dc-4a12-bc60-51ee97718cbe · outbound

This paper cites Explicit sumset sizes in additive number theory.

Possible Sizes of Sumsets Explicit sumset sizes in additive number theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.370597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82476f35-391d-4ab6-a658-e604d77a9151 · outbound

This paper cites Triangular and tetrahedral number differences of sumset sizes in additive number theory.

Possible Sizes of Sumsets Triangular and tetrahedral number differences of sumset sizes in additive number theory

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.488632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0fcf969-3b65-42fc-8b3d-0b3a260e1f66 · outbound

This paper cites Additive sumset sizes with tetrahedral differences.

Possible Sizes of Sumsets Additive sumset sizes with tetrahedral differences

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.593978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1b2e80c-4fe3-4afc-babd-752f7b6dbb84 · outbound

This paper cites Nathanson.

Possible Sizes of Sumsets Nathanson

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.691109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e31ec5c-9fb3-4611-b668-32132d06b823 · outbound

This paper cites On Nathanson's Triangular Number Phenomenon.

Possible Sizes of Sumsets On Nathanson's Triangular Number Phenomenon

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.759393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da39c10c-2a70-4f17-ab44-0dc3b6c18b25 · outbound

This paper cites Eine zahlentheoretische anwendung der graphentheorie.

Possible Sizes of Sumsets Eine zahlentheoretische anwendung der graphentheorie

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.832821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 378f84bc-3efc-42ca-a827-b2b1d2b13c44 · outbound

This paper cites Razborov.

Possible Sizes of Sumsets Razborov

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.896407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbb4001b-f838-4d86-a257-5b804c72bfa1 · outbound

This paper cites an unresolved cited work.

Possible Sizes of Sumsets Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.964209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79292b8a-1483-44a5-a281-799a428368eb · outbound

This paper cites On the Sumset of Sets of Size $k$.

Possible Sizes of Sumsets On the Sumset of Sets of Size $k$

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:32.039524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe30753e-4435-4fff-a07d-b400a9f6ef5d · outbound

This paper cites Additive combinatorics , volume 105 of Cambridge Studies in Advanced Mathematics.

Possible Sizes of Sumsets Additive combinatorics , volume 105 of Cambridge Studies in Advanced Mathematics

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:32.117603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bad09d8-62b9-4b31-8f1f-ecfbe3e5eabe · outbound

This paper cites Some inverse results of sumsets.

Possible Sizes of Sumsets Some inverse results of sumsets

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:32.260301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a581d53f-13c2-4bda-9b72-f5339029c7dc · outbound

This paper cites Graph theory and additive combinatorics---exploring structure and randomness.

Possible Sizes of Sumsets Graph theory and additive combinatorics---exploring structure and randomness

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:32.328617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation d5194868-0904-46d7-a638-981782502805 · inbound

Intersections of sumsets in additive number theory cites this paper.

Intersections of sumsets in additive number theory Possible Sizes of Sumsets

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-17T01:20:39.736846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 36ae889c-e44d-4d6f-acf3-23938065df93 · inbound

A Local Classification of Four-Element Multiple Sumsets cites this paper.

A Local Classification of Four-Element Multiple Sumsets Possible Sizes of Sumsets

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T14:41:27.120923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.