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Paper Citation Record · LEDGER

Compression and complexity for sumset sizes in additive number theory

As of 20 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:5aacc20a4dd7054697003e98f6175a4596db719cab26b03444ff8c32d2c55d1d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:038aa350b3306653fa4b6731907dd3b30f230170e6e499269c74b6a4afe330e6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:3f68b9a4c4ba68ff05d6699a15d6704e5d925b4a2d5a71bfb096dcf3f9cf1e18

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:565a46acf0cf2f0ecd6cb0a4ef0a1b70ba6efdd59c5322e953979c06555abf96

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:dd9cd82083f5bca5657c4900dff2aef9baf214ebf125737c45d60aa4ca809d25

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:781ee6289d76ce0958cce252121d396065acfb941314b10548b705ea9e3697e6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:40a6970f9847a9abf4db5202059ed28e9258a4769db3db5fd4bb6db149d6db07

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:5ef806f809dbadd402bfe601f393ee9b8584e0122730ec10bc5ebeda2a4fa63e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:45ae6d1dbe6c8630d1e695b663bd3613a169422ab54f48f3f34de6894f77d528

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:d850f76ff16adee33284f4b669543a89489eb1725ecad49eee70618efca65f83

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:6eda23cc73ed13c3de883295abda84c95c96831503c8ccdaa8c246a3c00164fe

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T13:34:37.386538Z digest=sha256:02067ab8b2cb5aa2d6992aee625b5eedea164d39a4e9dea833d48323fae07c79

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=sha256:299b9c2edfd3c5b316d48855652689d12e2d2c03ab1830a3b50ecddc17e3ec69

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=sha256:8fc3af0f6c46a4eb492b63404dfa9d6e720936b0e1f2d938229c48de2f96bbe7

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=sha256:6aa6d50341bb5e6ec19c1c96f92a614ddc84dcd7bc3523f900a6b70cfb3f1e02

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:24:51.712104Z digest=sha256:72de50bd80c47ca4bfdb1e04838e1074066f93879b50c0caba1edfb85ac13c61