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Paper Citation Record · LEDGER

Compression and complexity for sumset sizes in additive number theory

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:6c6e31bdb36214df10a52d1a633be506cef862a5662bcaa84dfa02243ec38dcb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:11756aa6b20b682fc28a5884100eb8c4880a00c640736fdf9b1cb1778b7a78ee

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:7b33b65258b2e783d5ad739b56be02d1d2c26a089165411f62aff4e608863ab4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:bcb5194b7fdca3e25fe0bdfc08036f159f4ad08eaa0c736c5a99c86275e5b81e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:abbea7eb870f6ea47808adb5e322f2c7ac338049276e26882e44f983ecd2014c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:e33a66252b9f88c810b0d130e97bc6465874c7b7af00d160a952291a78200781

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:00e1edd9dde95534e1c13219fea2817530d95198e113a3c0d098ebfd8b01de57

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:22244ce023543bc402e5e34acfd5f4abcf1293b174d5cc9f4a926f98b935e618

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:4ae006943ad99d4fbc367417c7ed5f1eff1395cf69ef619173adcdb5745f9596

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:b4b830acd2dd15793257e236efbefb2c03598455dd2530e48d31677c2d742804

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:4ba2418bf795217530ad6ca0f951aa0800dea98da0149daed2ea9e0a0f561635

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:60f97808849338d7b626d7fc350324db1114e774816db93ea2056cd33c99d2d4

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=sha256:21e1353403abbee2bfd2c7c9d89df0009c34aa3e536ee23b2aea77876a710cef

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:dbd0617438ac12ebd0d177998b2296d7cf499b958f7dfcbc1c1b7280515fad42

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:d9dcce557406569fd2e2edbd5055c17276a0a09de9b3c20f7fcc500a5bd04ba7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:24:51.712104Z digest=sha256:89a2f3c4ec16c51c871724b37745fadb107697c788660dc6f70174dac1b55d6b