Pith. sign in

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:22671ef353f205cef7ede5e8392af422ad2a048283f02b969ef4037a99daafcf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:6470dc4681413f51bf7f5330d4268adac4bfcc6114d245d122bbe364231de3a2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:d740583f5719c1e8b4c31e60e3ce936df30e1746cc1fb251b34f495a4b85c1da

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:923e42f00632e86970afe63501012b750b9c7b2e44b29fe393f50322d0534085

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:3282808a656b815c646d04f8ea9cff17a7698ccfbc582c5ccbc63aacbc429b43

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:567e7b981690ff27571a686fbd7e9b1722c03f6de0419e1b11a7445d8cefcdf7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:1e51657d7f9e61d060d1c496b5881c1ea722110a678828100ecf550e5cdae101

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:5deaa289f56080306c2e1064028f44c566f282802abc282705152b62e26237d8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:a8adfb9f2648a002beb998670b95b0d200e678dc2c4263e57c1ed3f8755e6406

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:647443dd6620ddbe30388ca4a506a9c513d117bd175285adb00533cd64dc0a5b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:8fb590eb1a23dc71f9c1a4f607f57174eb68b39dcace0dfa2d0edccded534e0e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:7e20381101763e61dbcb8c8c63fcc68c6a2637b3ad5c2843fe5259e9f680ed70

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:24:51.712104Z digest=sha256:f4ff86bdd5b9820c81fed69ab114da4ba97bcf594005d2dc0defab57d53a9bf7