Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T16:48:56.697196Z
Paper Citation Record · LEDGER
On lower bounds of the density of planar periodic sets without unit distances
As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.13248.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact2
- verified fuzzy12
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4af182d4-a948-460a-bba9-45d12bbd2f18 · outbound
This paper cites In: Proceedings of the 37th International Conference on Machine Learning (ICML) (2020).
On lower bounds of the density of planar periodic sets without unit distances In: Proceedings of the 37th International Conference on Machine Learning (ICML) (2020)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:57.057049Z
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 1a8efdf0-4de0-4f85-ba68-96afbc64feac · outbound
This paper cites Mathematical Programming207, 303–327 (2024).
On lower bounds of the density of planar periodic sets without unit distances Mathematical Programming207, 303–327 (2024)
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-12T16:48:56.755135Z
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 90d2c079-4a9a-4a4e-8fb2-400d88ba0c7a · outbound
This paper cites Discrete & Computational Geometry 67, 1–12 (06 2022).
On lower bounds of the density of planar periodic sets without unit distances Discrete & Computational Geometry 67, 1–12 (06 2022)
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-12T16:48:56.741684Z
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 2a960081-6f6f-4306-becf-b6e408410ad0 · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:57.044665Z
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 61349acf-3ad7-4667-81a4-49cf2b3ed067 · outbound
This paper cites In: Proceedings of the International Conference on Learning Representations (ICLR) (2022).
On lower bounds of the density of planar periodic sets without unit distances In: Proceedings of the International Conference on Learning Representations (ICLR) (2022)
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:57.032288Z
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 d32f9ac2-b022-4748-88a1-cdb0d41a4be3 · outbound
This paper cites Clustering in typical unit-distance avoiding sets.
On lower bounds of the density of planar periodic sets without unit distances Clustering in typical unit-distance avoiding sets
Reference 6
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-12T16:48:56.811437Z
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 e8b7eb30-a3aa-4179-9d18-f38e17a593b2 · outbound
This paper cites Eureka30, 22–26 (1967).
On lower bounds of the density of planar periodic sets without unit distances Eureka30, 22–26 (1967)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:57.010831Z
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 1e4269ff-8e0c-47a2-adcb-389999b315ad · outbound
This paper cites The chromatic number of the plane is at least 5.
On lower bounds of the density of planar periodic sets without unit distances The chromatic number of the plane is at least 5
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:48:56.625007Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 448b1561-3e6b-4ecd-ba1e-518d39ab0a65 · outbound
This paper cites In: Discrete Geometry and Convexity (New York, 1982), Annals of the New York Academy of Sciences.
On lower bounds of the density of planar periodic sets without unit distances In: Discrete Geometry and Convexity (New York, 1982), Annals of the New York Academy of Sciences
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.998813Z
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 e5477674-5a50-48d6-879c-a778f6dbb641 · outbound
This paper cites Journal of the ACM25, 499–508 (1978).
On lower bounds of the density of planar periodic sets without unit distances Journal of the ACM25, 499–508 (1978)
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.985699Z
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 aacb9d5a-ffb5-4aa9-9470-82c548fed8ee · outbound
This paper cites In: Advances in Neural Information Processing Systems (NeurIPS).
On lower bounds of the density of planar periodic sets without unit distances In: Advances in Neural Information Processing Systems (NeurIPS)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.973972Z
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 2df8c3ad-b8ce-4b60-86ef-8c313af87d1b · outbound
This paper cites ACM Journal of Experimental Algorithmics24 (01 2019).https://doi.org/ 10.1145/3355502.
On lower bounds of the density of planar periodic sets without unit distances ACM Journal of Experimental Algorithmics24 (01 2019).https://doi.org/ 10.1145/3355502
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:48:56.640557Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18e3b8fb-24e2-4fcb-b794-08ce9f120a15 · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:56.962656Z
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 c6840d65-567a-4876-9640-4d1aba9f6e19 · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:56.950979Z
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 2ac640aa-cbe6-4974-a787-6f3484bed8ae · outbound
This paper cites In: Proceedings of the 5th International Conference on Learning Repre- sentations (ICLR) (2017).
On lower bounds of the density of planar periodic sets without unit distances In: Proceedings of the 5th International Conference on Learning Repre- sentations (ICLR) (2017)
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.940410Z
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 4056ae12-943f-4caa-9b2b-a14de555446b · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:56.929069Z
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 61f6c1b0-7c8b-4940-88ab-3a031ce39e6d · outbound
This paper cites In: Proceedings of the Twenty-First Workshop on Algorithm Engineering and Exper- iments, ALENEX 2019.
On lower bounds of the density of planar periodic sets without unit distances In: Proceedings of the Twenty-First Workshop on Algorithm Engineering and Exper- iments, ALENEX 2019
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.917830Z
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 904fe6d7-8ccb-41b8-b93f-4d939cce69ff · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:56.905156Z
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 81b83c11-3b1d-4c12-a9bb-02dda3e145e0 · outbound
This paper cites In: Advances in Neural Information Pro- cessing Systems (NeurIPS) (2018).
On lower bounds of the density of planar periodic sets without unit distances In: Advances in Neural Information Pro- cessing Systems (NeurIPS) (2018)
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.892082Z
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 f1522e27-5d1e-4a2a-ab29-1b8c9021edd5 · outbound
This paper cites Mimeographed (1966).
On lower bounds of the density of planar periodic sets without unit distances Mimeographed (1966)
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.877260Z
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 337367d5-cc33-4de8-b36a-29b11f43de0e · outbound
This paper cites In: Advances in Neural Information Processing Systems (NeurIPS).
On lower bounds of the density of planar periodic sets without unit distances In: Advances in Neural Information Processing Systems (NeurIPS)
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.864213Z
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 901b3548-da2e-40d7-8926-b6bd1579ec06 · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:56.850474Z
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 6891e38d-1e12-4593-a2b1-27f3bafdd855 · outbound
This paper cites Proximal Policy Optimization Algorithms.
On lower bounds of the density of planar periodic sets without unit distances Proximal Policy Optimization Algorithms
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:48:56.685138Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 866aead6-eb6c-43a9-9704-56e03ad1f619 · outbound
This paper cites In: Open Problems in Mathematics (2016).
On lower bounds of the density of planar periodic sets without unit distances In: Open Problems in Mathematics (2016)
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:48:56.837558Z
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 c375e196-d853-4916-b213-b2ec60f93a02 · outbound
This paper cites an unresolved cited work.
On lower bounds of the density of planar periodic sets without unit distances Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:48:56.824986Z
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 a83bf442-b0ab-490a-be3d-d289cb6c128a · outbound
This paper cites Deep Graph Library: A Graph-Centric, Highly-Performant Package for Graph Neural Networks.
On lower bounds of the density of planar periodic sets without unit distances Deep Graph Library: A Graph-Centric, Highly-Performant Package for Graph Neural Networks
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:48:56.697196Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.