Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2505.08491.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:40:06.566254Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-02T00:16:10.520619Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 4c4dae05-fea4-4874-af7f-491fdba2d29a · inbound
Neural Preconditioning via Krylov Subspace Geometry cites this paper.
Neural Preconditioning via Krylov Subspace Geometry Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:40:06.566254Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9cd746d-32e9-45f8-96dd-899a4ae18415 · inbound
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method cites this paper.
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T10:26:34.019418Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43a3f5c6-e2b1-4be9-9e3f-4875957fbaf9 · inbound
Neural operator preconditioning from mixed dataset for the Helmholtz equations: Application to transcranial ultrasound cites this paper.
Neural operator preconditioning from mixed dataset for the Helmholtz equations: Application to transcranial ultrasound Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-01T19:43:19.665544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.