Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:15:16.497809Z
Paper Citation Record · LEDGER
A note on the frequency gaps between integers in the thin obstacle problem
As of 12 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2412.13425.
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 2026-08-11T10:58:44.212660Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T10:58:44.262008Z
Reference resolution
6 of 6 outbound references displayed
- verified exact0
- verified fuzzy4
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0db564ba-9685-4373-be96-1e1071269f1a · outbound
This paper cites The structure of the free boundary for lower dimensional obstacle problems.
A note on the frequency gaps between integers in the thin obstacle problem The structure of the free boundary for lower dimensional obstacle problems
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:15:16.618594Z
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 bb00077c-3863-4111-b63f-d42ed86c7775 · outbound
This paper cites Direct epiperimetric inequalities for the thin obstacle problem and applications.
A note on the frequency gaps between integers in the thin obstacle problem Direct epiperimetric inequalities for the thin obstacle problem and applications
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:15:16.602772Z
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 691ae70f-fbdd-450e-bbf3-b9aaabcdabfa · outbound
This paper cites Generic regularity of free boundaries for the obstacle problem.
A note on the frequency gaps between integers in the thin obstacle problem Generic regularity of free boundaries for the obstacle problem
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:15:16.590382Z
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 60455cd3-2418-4a44-bce9-a48f917084a3 · outbound
This paper cites an unresolved cited work.
A note on the frequency gaps between integers in the thin obstacle problem Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:15:16.574051Z
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 afa887fa-00f4-492a-83c2-9b454132bdfc · outbound
This paper cites Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem.
A note on the frequency gaps between integers in the thin obstacle problem Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:15:16.557840Z
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 730abc91-942c-482d-8b94-08177e7024de · outbound
This paper cites an unresolved cited work.
A note on the frequency gaps between integers in the thin obstacle problem Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:15:16.538154Z
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 16e708ce-ad91-45fe-a67d-e7e4a19faee4 · inbound
Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian cites this paper.
Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian A note on the frequency gaps between integers in the thin obstacle problem
Reference 2024
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T10:58:44.335639Z
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.