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Paper Citation Record · LEDGER

Compression and complexity for sumset sizes in additive number theory

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 4 inbound Pith citation observations for arXiv:2505.20998.

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

pith.paper-citation-record.v1
2505.20998 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T13:34:37.386538Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:33:10.854467Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:24:52.164374Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2b152e3-b6a9-48cd-804c-db8640670afc · outbound

This paper cites Erd˝ os and E.

Compression and complexity for sumset sizes in additive number theory Erd˝ os and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T13:37:19.561794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:d5b984879cc736057dfa430bc775cb31f6dab9fc34651bc51d05b4fa99f46b46

Observation 9686db60-bc84-49c3-907d-6c13229bdbe3 · outbound

This paper cites an unresolved cited work.

Compression and complexity for sumset sizes in additive number theory Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-19T13:37:19.571541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:45f5cdb4a6867c55a2b66c4ffbc2ca562f60689f5d131508dd3f0f65bda23c42

Observation 925874bf-050f-4088-bb0e-4a80feaf478a · outbound

This paper cites an unresolved cited work.

Compression and complexity for sumset sizes in additive number theory Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-19T13:37:19.569632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:371304a9c9a8ef499ba57f3edb3541cfa561c8fd2b691e6d0f2b3f403404ac58

Observation 76162a78-6172-4cc4-b195-b4bcb0b98fd1 · outbound

This paper cites an unresolved cited work.

Compression and complexity for sumset sizes in additive number theory Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-19T13:37:19.567704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:2a1bd985edc2363bc2168f24d36965ffc3f0d83571dc6794ec8a1b349c413636

Observation aae27c7b-cece-4300-98c4-0c999653b8fb · outbound

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

Compression and complexity for 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 2026-05-19T13:37:19.565764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:79fe540b2d1107e6facfbbc48307287fb9fbfcaa802071c8b2f0b09eb6230428

Observation bde10610-b1ce-447e-9f93-8b73f228b9b9 · outbound

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

Compression and complexity for sumset sizes in additive number theory Kravitz, Relative sizes of iterated sumsets, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T13:37:19.553259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:27184e8918da9637b0313a631bd372cb530a3c77590e3d63bf659b0ecbb7c163

Observation a1cb5b43-031c-4640-a9a5-3337756e9d92 · outbound

This paper cites an unresolved cited work.

Compression and complexity for sumset sizes in additive number theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-19T13:37:19.563729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:2426f591642b0a2c4ef0ff9904d2c5a94da84c75f67f4d7fb2b3bf0415b3ac03

Observation 8b6c5e5c-2d9c-4177-8af4-949f2cf84902 · outbound

This paper cites an unresolved cited work.

Compression and complexity for sumset sizes in additive number theory Unresolved cited work

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-19T13:37:19.314595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:3a173d6923a295065e7c2aa89f84993e7b3a943e6232ed0e24f2d524b1a85c29

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

This paper cites Explicit sumset sizes in additive number theory.

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:f60f02dac18b7e0561778fab30b2a9a60594823261062d8620a92b07ddc7c110

Observation dc8da167-e45d-43f4-936b-01c634031609 · outbound

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

Compression and complexity for 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 2026-05-19T13:37:19.558054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:7d3ab41e0b5bb87c74f1ade98c5d49fbb4b5ce9fa18f0ee3fc79c26a751f854d

Observation ec88e439-0140-4d4b-9f57-b3242f6e5136 · outbound

This paper cites P´ eringuey and A.

Compression and complexity for sumset sizes in additive number theory P´ eringuey and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T13:37:19.559916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:3b5ba04267d62ed4ce4e45178196922eea2414a8176473badd110214f89a0d99

Observation 0e8d3452-f300-4ec9-bf46-196104ea1520 · outbound

This paper cites Schinina, On the sums of sets of sizek, preprint.

Compression and complexity for sumset sizes in additive number theory Schinina, On the sums of sets of sizek, preprint

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T13:37:19.555919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:1e0a6094e14c4052385e88156a688288239c84ce762754adc9b974fbb7758e55

Pith citing papers

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

Finer control on relative sizes of iterated sumsets cites this paper.

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.

source=pdf_text observed=2026-08-07T10:33:10.854467Z digest=sha256:a939ba6d7b84eb98c48931021133437234f64948722eb035e3457f4c92b848d4

Observation 33859a3e-35aa-4a43-aacf-b5943534c416 · 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 Compression and complexity for sumset sizes in additive number theory

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T00:14:38.999679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:14:38.999679Z digest=sha256:750de15d02a86ee5b5c8303f70f44991a01a06d6e008765bb75d4a12b0230348

Observation 9f2e8ab6-cc81-4b21-b2a4-59eed8a919ed · inbound

On Nathanson's Triangular Number Phenomenon cites this paper.

On Nathanson's Triangular Number Phenomenon Compression and complexity for sumset sizes in additive number theory

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-06T22:50:27.129701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:50:27.129701Z digest=sha256:07e7548c47754f6343376b47dab94694d47049ca8fe12e310dbd96e4cf92f695

Observation ae47b279-d466-4886-a202-56d8f3f3f4d6 · inbound

Additive sumset sizes with tetrahedral differences cites this paper.

Additive sumset sizes with tetrahedral differences Compression and complexity for sumset sizes in additive number theory

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:24:52.336867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:24:51.712104Z digest=sha256:17f3b65f14376f71719c0a21589e2b9a7c507256a55e9a410b9e8392cebb9c41