Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:31:47.269689Z
Paper Citation Record · LEDGER
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds
As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.03697.
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 2026-08-16T06:30:59.297886+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
21 of 21 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved7
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e2ea50b5-7e05-4a5c-b9be-76c0483ace17 · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.627130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 051de9e5-0f0c-45db-b72f-fd6adb71cdb1 · outbound
This paper cites Ambrosio, X.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Ambrosio, X
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.612106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 495b8e87-f743-4ea6-8000-48f361a52f20 · outbound
This paper cites Calabi, An extension of E.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Calabi, An extension of E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.597220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86c07b9d-6bc4-4d84-ad47-4cafb8086a37 · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.582090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e2fcbd6-f65c-4fdb-9a40-c13ac28ad1ac · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.566294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 10a1cc5a-2993-46f9-97ab-0e965d348a96 · outbound
This paper cites De Giorgi, Convergence problems for functionals and operato rs, In Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis (Rom e, 1978), pages 131-.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds De Giorgi, Convergence problems for functionals and operato rs, In Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis (Rom e, 1978), pages 131-
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.549643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42ca111a-3cf1-473d-abd3-bd51c05f0790 · outbound
This paper cites del Pino, M.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds del Pino, M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.518468Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 02d999f4-5a9c-41e4-8062-9bd65d2c1d2b · outbound
This paper cites Ghoussoub, C.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Ghoussoub, C
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.503099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 52e7e823-4a45-4883-8ba3-4f690ae89dda · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.488426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a93ae17-a2e8-486f-be4b-0d04483c06d3 · outbound
This paper cites Ma, Gradient estimates for a simple elliptic equation on non-com pact Riemannian mani- folds, J.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Ma, Gradient estimates for a simple elliptic equation on non-com pact Riemannian mani- folds, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.473517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8259625f-a7f2-47b8-93f5-b5293d9d9655 · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.458200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65ebbb0c-9d2c-4708-8bba-8671fc1131a0 · outbound
This paper cites Modica, A gradient bound and a liouville theorem for nonlinear po isson equations, Com- mun.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Modica, A gradient bound and a liouville theorem for nonlinear po isson equations, Com- mun
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.442239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f5ac4003-22e7-4cce-8421-4de47adf0859 · outbound
This paper cites Negrin, Gradient estimates and a Liouville type theorem for th e Schr¨ odinger operator, J.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Negrin, Gradient estimates and a Liouville type theorem for th e Schr¨ odinger operator, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.426225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fad2d1ad-fb88-4cb9-bc8c-4d45b16d27ed · outbound
This paper cites Pacard, M.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Pacard, M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.411000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e39d21b7-ad49-4056-b566-25382ee77390 · outbound
This paper cites Ratto, M.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Ratto, M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.393766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a283456c-cae7-4d33-8f42-d740531ab63f · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.375486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a337d666-9256-433f-9799-a4da219ec9df · outbound
This paper cites Souplet, Q.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Souplet, Q
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.358937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 26153986-cfb1-45eb-b4ab-7423c7abb81a · outbound
This paper cites Yang, Gradient estimates for a nonlinear parabolic equation o n Riemannian manifolds, Proc.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Yang, Gradient estimates for a nonlinear parabolic equation o n Riemannian manifolds, Proc
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.341676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 31460e77-f77e-4e56-af2d-d1ed1637ba9c · outbound
This paper cites Yang, Gradient estimates for the equation ∆ u + cu− α = 0 on Riemannian manifolds, Acta Math.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Yang, Gradient estimates for the equation ∆ u + cu− α = 0 on Riemannian manifolds, Acta Math
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:47.325047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 760c1219-d4c0-4cb8-8c94-bc118c799d1b · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:47.307999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00a90651-bc05-4216-a700-1a0fbfc1aea0 · outbound
This paper cites an unresolved cited work.
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds Unresolved cited work
Reference 188
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-14T14:31:47.533720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.