Paper Citation Record · LEDGER

Explicit sumset sizes in additive number theory

As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 5 inbound Pith citation observations for arXiv:2505.05329.

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

pith.paper-citation-record.v1
2505.05329 v5

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T16:04:59.172593Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:14:38.844472Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-19T13:37:19.318850Z

Reference resolution

13 of 13 outbound references displayed

verified exact4
verified fuzzy4
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eab96a60-20a7-4fff-af2b-54a13e636370 · outbound

This paper cites Erd˝ os and E.

Explicit sumset sizes in additive number theory Erd˝ os and E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T16:06:46.643791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 909ceeac-72b2-476b-b229-99d3e197a827 · outbound

This paper cites an unresolved cited work.

Explicit sumset sizes in additive number theory Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-22T16:06:46.647266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3c304c33-bb63-44f2-8ef5-776864383429 · outbound

This paper cites an unresolved cited work.

Explicit sumset sizes in additive number theory Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-22T16:06:46.650709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e176533d-0fc2-4f9d-8ce1-c4646a07bdd5 · outbound

This paper cites Hegyv´ ari, On representation problems in the additive number theory, Acta Math.

Explicit sumset sizes in additive number theory Hegyv´ ari, On representation problems in the additive number theory, Acta Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T16:06:46.640336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3f380f1b-6bef-4af2-a2f6-6eb91116d339 · outbound

This paper cites Kravitz, Relative sizes of iterated sumsets, J.

Explicit sumset sizes in additive number theory Kravitz, Relative sizes of iterated sumsets, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T16:06:46.662527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3cf71842-99d7-427d-bbc1-ef49d988e8ed · outbound

This paper cites an unresolved cited work.

Explicit sumset sizes in additive number theory Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-22T16:06:46.675069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f184f44f-4f4b-491e-99a8-d1ab1aaa16ef · outbound

This paper cites an unresolved cited work.

Explicit sumset sizes in additive number theory Unresolved cited work

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-22T16:06:46.092398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30abc1aa-4062-4df9-a036-82245205b086 · outbound

This paper cites an unresolved cited work.

Explicit sumset sizes in additive number theory Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-22T16:06:46.658647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation df87f9bd-0178-4a01-9037-36e33595bffd · outbound

This paper cites an unresolved cited work.

Explicit sumset sizes in additive number theory Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-22T16:06:46.655048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b2db161c-ce1b-4052-88e6-5af155d10965 · outbound

This paper cites O’Bryant, A complete annotated bibliography of work related to Sidon sequences, Electron.

Explicit sumset sizes in additive number theory O’Bryant, A complete annotated bibliography of work related to Sidon sequences, Electron

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T16:06:46.668913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 77065bc9-19d1-4279-bb34-01ebf30710dd · outbound

This paper cites On Nathanson's Triangular Number Phenomenon.

Explicit sumset sizes in additive number theory On Nathanson's Triangular Number Phenomenon

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-22T16:06:46.081490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation de6d1c7f-1178-44ab-9b20-22dbbcde2cb4 · outbound

This paper cites A note on iterated sumsets races.

Explicit sumset sizes in additive number theory A note on iterated sumsets races

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-22T16:06:46.086672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 50d1b229-6391-45a8-8b22-b30f1bbdda1a · outbound

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

Explicit sumset sizes in additive number theory On the Sumset of Sets of Size $k$

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-22T16:06:46.075689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 789be31f-0467-4b47-ae0b-982f8f28dbc1 · inbound

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

Compression and complexity for sumset sizes in additive number theory Explicit sumset sizes in additive number theory

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-19T13:37:19.321041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6c5c83b8-0b1e-473b-a18b-4e3912c93f93 · inbound

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

Triangular and tetrahedral number differences of sumset sizes in additive number theory Explicit sumset sizes in additive number theory

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T00:14:38.844472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca2d5053-9be3-4f38-9cdf-bb58b5e71552 · inbound

On Nathanson's Triangular Number Phenomenon cites this paper.

On Nathanson's Triangular Number Phenomenon Explicit sumset sizes in additive number theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T22:50:27.132933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8dac3c1-f2f4-4eab-8752-d0e5f7bdadb6 · inbound

Additive sumset sizes with tetrahedral differences cites this paper.

Additive sumset sizes with tetrahedral differences Explicit sumset sizes in additive number theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.640446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Possible Sizes of Sumsets cites this paper.

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.