Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T10:53:06.702677Z
Paper Citation Record · LEDGER
Inverse problems for sumset sizes of finite sets of integers
As of 12 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 3 inbound Pith citation observations for arXiv:2412.16154.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:33:10.782121Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T22:50:27.266492Z
Reference resolution
9 of 9 outbound references displayed
- verified exact0
- verified fuzzy3
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6b217a80-42b0-413d-976c-6c91abff4577 · outbound
This paper cites Granville and G.
Inverse problems for sumset sizes of finite sets of integers Granville and G
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:53:06.888863Z
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.
Observation e4b19947-eb08-4e50-bf85-793d5a22d6c6 · outbound
This paper cites Granville and A.
Inverse problems for sumset sizes of finite sets of integers Granville and A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:53:06.870672Z
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.
Observation 341e84bd-00f3-4bfb-b469-29e3f062275a · outbound
This paper cites Kravitz, Relative sizes of iterated sumsets, arXiv:2 412.18598.
Inverse problems for sumset sizes of finite sets of integers Kravitz, Relative sizes of iterated sumsets, arXiv:2 412.18598
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:53:06.852740Z
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.
Observation 9164db79-97c0-4995-a64b-b99b7cb97167 · outbound
This paper cites an unresolved cited work.
Inverse problems for sumset sizes of finite sets of integers Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:53:06.834348Z
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.
Observation 4448d4c3-29e7-4d4a-baba-b93932307d10 · outbound
This paper cites an unresolved cited work.
Inverse problems for sumset sizes of finite sets of integers Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:53:06.817778Z
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.
Observation 9c1e5162-51cd-4408-9a75-e01a803bb791 · outbound
This paper cites an unresolved cited work.
Inverse problems for sumset sizes of finite sets of integers Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:53:06.801815Z
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.
Observation 0b7d973d-ee0a-4848-be90-b94f24283840 · outbound
This paper cites an unresolved cited work.
Inverse problems for sumset sizes of finite sets of integers Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:53:06.784211Z
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.
Observation 6e81ed43-2c27-40c4-896b-c4cc5b3d6c20 · outbound
This paper cites an unresolved cited work.
Inverse problems for sumset sizes of finite sets of integers Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:53:06.765648Z
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.
Observation 5936c4b6-1c00-46f0-95b0-f99091771e9b · outbound
This paper cites an unresolved cited work.
Inverse problems for sumset sizes of finite sets of integers Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:53:06.745997Z
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.
Pith citing papers
Observation 18f98c32-bdb7-496a-b58f-3e40f641760e · inbound
Finer control on relative sizes of iterated sumsets cites this paper.
Finer control on relative sizes of iterated sumsets Inverse problems for sumset sizes of finite sets of integers
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:33:10.782121Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34a6ebc1-af8c-456b-b9f5-9482d07e1415 · 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 Inverse problems for sumset sizes of finite sets of integers
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:14:38.484034Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df067b39-780f-449d-96d7-b1f092fd7105 · inbound
On Nathanson's Triangular Number Phenomenon cites this paper.
On Nathanson's Triangular Number Phenomenon Inverse problems for sumset sizes of finite sets of integers
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:50:27.270025Z
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.