Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T05:19:43.654251Z
Paper Citation Record · LEDGER
Pinned Dot Product Set Estimates
As of 12 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2412.17985.
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 2026-08-04T09:39:46.694533Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T00:56:24.068780Z
Reference resolution
11 of 11 outbound references displayed
- verified exact0
- verified fuzzy2
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a21bf561-2a53-44db-87e9-37f7d86a504e · outbound
This paper cites New improvement to Falconer distance set problem in higher dimensions.
Pinned Dot Product Set Estimates New improvement to Falconer distance set problem in higher dimensions
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.611964Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b3419bf-1cc8-433e-aab5-c7128ba88a94 · outbound
This paper cites Weighted refined decoupling estimates and application to Falconer distance set problem.
Pinned Dot Product Set Estimates Weighted refined decoupling estimates and application to Falconer distance set problem
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.617269Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6832495-004e-4efb-8261-f5d63db29e02 · outbound
This paper cites Discretized Radial Projections in $\mathbb{R}^d$.
Pinned Dot Product Set Estimates Discretized Radial Projections in $\mathbb{R}^d$
Reference 9
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-11T05:19:43.808511Z
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 f7ec7cb7-29bc-4eb0-9b25-2dcf2e1816a9 · outbound
This paper cites Furstenberg sets estimate in the plane.
Pinned Dot Product Set Estimates Furstenberg sets estimate in the plane
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.648805Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8af150fc-c602-46f1-840e-ce851580e736 · outbound
This paper cites an unresolved cited work.
Pinned Dot Product Set Estimates Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.654251Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79e0ad77-65ea-48dc-98ce-93e89529719f · outbound
This paper cites Regularity of distance measures and sets.
Pinned Dot Product Set Estimates Regularity of distance measures and sets
Reference 1999
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:19:43.913615Z
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 8e246d6b-59f7-49a2-8053-1a278b8f6c9e · outbound
This paper cites Hausdorff dimension and the exceptional set of projec- tions.
Pinned Dot Product Set Estimates Hausdorff dimension and the exceptional set of projec- tions
Reference 2003
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.622328Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b5db9c7-6b7c-4785-a186-6ceb71219f52 · outbound
This paper cites Hausdorff dimension, orthogonal projections and intersections with planes.
Pinned Dot Product Set Estimates Hausdorff dimension, orthogonal projections and intersections with planes
Reference 2015
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:19:43.930769Z
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 0f102d00-fafd-4421-a198-c883a11094d2 · outbound
This paper cites A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$.
Pinned Dot Product Set Estimates A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.638225Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f7065c1-48fb-421d-9704-769e0ddc6f68 · outbound
This paper cites Distance sets bounds for polyhedral norms via effective dimension.
Pinned Dot Product Set Estimates Distance sets bounds for polyhedral norms via effective dimension
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:19:43.600179Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b30e31f3-94f5-44c3-81af-76ef2645c9f5 · outbound
This paper cites Radial Projections in $\mathbb{R}^n$ Revisited.
Pinned Dot Product Set Estimates Radial Projections in $\mathbb{R}^n$ Revisited
Reference 2024
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-11T05:19:43.881940Z
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 a3ad79a6-febc-4790-af17-6f0a1bd71bd4 · inbound
A Structural Condition on Point Sets with Few Distinct Dot Products cites this paper.
A Structural Condition on Point Sets with Few Distinct Dot Products Pinned Dot Product Set Estimates
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T09:39:46.694533Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a1572ad-300f-4fb6-9ea6-29de46310c98 · inbound
On volume vectors determined by hypergraphs in thin subsets of Euclidean space cites this paper.
On volume vectors determined by hypergraphs in thin subsets of Euclidean space Pinned Dot Product Set Estimates
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T00:56:24.070973Z
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.