Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:46:27.267042Z
Paper Citation Record · LEDGER
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order
As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.04498.
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
33 of 33 outbound references displayed
- verified exact3
- verified fuzzy12
- unresolved18
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 30182e09-41c2-4de8-bd80-dd4ed44706b0 · outbound
This paper cites Arioli and D.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Arioli and D
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.851799Z
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 4561b1a4-f456-4579-a0b1-f99151df5b9f · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.835646Z
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 2976f94b-5a7d-40cb-988b-572622f742b3 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.821262Z
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 26891182-456b-4d4a-b638-ed2191d2b87f · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.807352Z
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 3744baf5-4f39-4c73-88b3-f430e845a3fe · outbound
This paper cites Multigrid Methods for Discrete Fractional Sobolev Spaces.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Multigrid Methods for Discrete Fractional Sobolev Spaces
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:46:27.359658Z
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 eb84300c-f458-4e84-9645-a9879028849a · outbound
This paper cites Bertoluzza, V.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Bertoluzza, V
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.790951Z
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 cc07b44b-2ba9-41c8-93fc-612b132aa99b · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.776417Z
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 2d26cab3-562d-4263-8667-343a570b8f80 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:46:27.150341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f80cba38-f239-4a59-ac24-e85184470bc8 · outbound
This paper cites Bonito and J.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Bonito and J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.748137Z
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 1d49e086-2ddf-4aa7-9407-324bd33e98b8 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.734499Z
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 1674909f-51b7-49f1-8c11-096567d6f251 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.719375Z
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 65d341e3-874c-466c-b78b-6cf965a1c166 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.706326Z
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 77149985-4467-4c03-a742-392290a5fabf · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.692076Z
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 cd5e895c-2ce6-4b5a-ba05-6f80a87c75c9 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.678300Z
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 e0effbf0-3b9c-47d0-97af-bc96d4714159 · outbound
This paper cites Costabel and A.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Costabel and A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.663557Z
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 33369080-c3f2-433f-a5ce-d9c09368f6b6 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.647102Z
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 fd632c73-dbaa-48db-9791-e67c54474f3b · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.631807Z
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 952dc1be-0657-4303-bebb-59e2f30eec50 · outbound
This paper cites Hansen and G.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Hansen and G
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.614594Z
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 068f791f-86e6-4ec1-82b8-c38404f31bae · outbound
This paper cites Hansen and G.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Hansen and G
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.598528Z
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 d78ae825-d17d-4e75-8e74-aac4db6e273c · outbound
This paper cites Hiptmair.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Hiptmair
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.579720Z
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 1b1cf828-8baf-4f51-9212-6a36816cfd45 · outbound
This paper cites Hiptmair and J.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Hiptmair and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.544929Z
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 92e40cc6-8ec9-47f0-81a7-f5b4437f94be · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.527797Z
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 70d8f32f-5f96-4dd3-a192-14e0a43ff013 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.510276Z
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 720c2eb1-5aa5-4f52-8ab1-a0aba1255c30 · outbound
This paper cites Preconditioning trace coupled 3$d$-1$d$ systems using fractional Laplacian.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Preconditioning trace coupled 3$d$-1$d$ systems using fractional Laplacian
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:46:27.333580Z
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 6b6ab44c-a59d-4617-b28f-0bb02eef87a5 · outbound
This paper cites Kuchta, M.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Kuchta, M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.494789Z
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 6a2b90fa-1d3f-4bd4-af77-e2b7236a8781 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.480525Z
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 3bfe2dd2-399f-46f6-b71f-823aba83eda4 · outbound
This paper cites Lions and E.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Lions and E
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.447487Z
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 7e5b5358-19eb-492e-826b-ae4f777dfd39 · outbound
This paper cites Mardal and R.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Mardal and R
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.431375Z
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 d67413ba-1c50-4eca-87de-b564e50a3d1a · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.412697Z
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 9bdf3b8d-17e7-4e6a-b022-fa2e31acafde · outbound
This paper cites Uniform preconditioners for problems of negative order.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Uniform preconditioners for problems of negative order
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:46:27.309589Z
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 5efc63ba-bbcf-45ba-9bda-2928b5894ff0 · outbound
This paper cites Tveito, K.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Tveito, K
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:27.396795Z
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 0c53fd80-cd72-49e3-869e-c62caa68604c · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.378926Z
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 c48460dd-0746-4998-92a6-8837a6b7b473 · outbound
This paper cites an unresolved cited work.
An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order Unresolved cited work
Reference 1997
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:27.562592Z
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.