Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-23T06:47:11.932096Z
Paper Citation Record · LEDGER
The asymptotic in Waring's problem over function fields via a singular locus in the circle method
As of 19 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2412.14053.
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 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:57:00.180453Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T04:46:08.246532Z
Reference resolution
12 of 12 outbound references displayed
- verified exact9
- verified fuzzy0
- unresolved2
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5886747f-40f4-4f7a-95f6-b1417a545ed2 · outbound
This paper cites Bourgain.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Bourgain
Reference 1
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.363588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bc40d47b-058e-439b-bfe6-a75a10330aa3 · outbound
This paper cites Proof of the m ain conjecture in Vinogradov’s mean value theorem for degrees higher than three.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Proof of the m ain conjecture in Vinogradov’s mean value theorem for degrees higher than three
Reference 2
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.410006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9272f6e4-d59a-4151-95a2-67d7556bd15f · outbound
This paper cites A higher genus circle method and an application to geometric Manin’s conjecture.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method A higher genus circle method and an application to geometric Manin’s conjecture
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T06:47:39.516572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 500dea65-cb10-4df9-8ea3-3180afca6596 · outbound
This paper cites singular.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method singular
Reference 4
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.403052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9e37d059-b89e-4e89-b8ea-4974a31324f5 · outbound
This paper cites an unresolved cited work.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Unresolved cited work
Reference 5
- Resolution
- malformed identifier
- arxiv_id, observed 2026-05-23T06:47:39.522448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f847dc2a-8f68-467f-87ed-77aabf3419db · outbound
This paper cites an unresolved cited work.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T06:47:39.877075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation efea5b2e-ff12-4d2b-900b-7396d65820ce · outbound
This paper cites an unresolved cited work.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Unresolved cited work
Reference 7
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.380338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 41591f8a-9d97-4991-a95b-891cd8479c8f · outbound
This paper cites An Algebraic Circle Method.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method An Algebraic Circle Method
Reference 8
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.385903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7371d9f9-953a-4298-9817-192cafec2fd9 · outbound
This paper cites an unresolved cited work.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T06:47:39.873417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 817c5d3d-ccbe-4ddc-8f6a-5de8576ac4ac · outbound
This paper cites an unresolved cited work.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Unresolved cited work
Reference 10
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.397926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6796f6d8-aef7-41b8-b50d-0bec28c14a3e · outbound
This paper cites an unresolved cited work.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method Unresolved cited work
Reference 11
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.375099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e1d2c6f4-2817-431b-b252-ef98697b395e · outbound
This paper cites The asymptotic formula for Waring’s proble m in function fields.
The asymptotic in Waring's problem over function fields via a singular locus in the circle method The asymptotic formula for Waring’s proble m in function fields
Reference 12
- Resolution
- verified exact
- doi, observed 2026-05-23T06:47:39.392599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation c268e96b-f6b4-475e-b064-0761e9891779 · inbound
Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method cites this paper.
Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method The asymptotic in Waring's problem over function fields via a singular locus in the circle method
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T11:57:00.180453Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e22d7e3f-fd36-4d2a-90af-308b7d9fc441 · inbound
A short way of counting maps to hypersurfaces in Grassmannians cites this paper.
A short way of counting maps to hypersurfaces in Grassmannians The asymptotic in Waring's problem over function fields via a singular locus in the circle method
Reference 37
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T04:46:08.254451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.