Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-07T16:25:52.183768Z
Paper Citation Record · LEDGER
A Quantum Spectral Framework for Solving PDEs
As of 1 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2604.25825.
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 2026-08-01T06:32:01.292127+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-13T01:33:49.132446Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-01T21:26:16.525396Z
Reference resolution
15 of 15 outbound references displayed
- verified exact4
- verified fuzzy7
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ee2d1910-4468-4799-9c19-33befa86a16a · outbound
This paper cites Quantum block encoding for one-pair semiseparable matrices.
A Quantum Spectral Framework for Solving PDEs Quantum block encoding for one-pair semiseparable matrices
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T03:17:29.115940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation cddb82be-1648-4999-9c38-2c39b0be5265 · outbound
This paper cites Bagherimehrab and A.
A Quantum Spectral Framework for Solving PDEs Bagherimehrab and A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.713535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 81e74d9f-148b-47a8-ad2b-ec3304081a81 · outbound
This paper cites Bungartz and M.
A Quantum Spectral Framework for Solving PDEs Bungartz and M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.702807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation f9507564-8d40-4d4e-92f5-8de624825761 · outbound
This paper cites Castelazo, Q.
A Quantum Spectral Framework for Solving PDEs Castelazo, Q
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.710203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 18bfd60d-1a60-48a3-bea9-0691dee8fb41 · outbound
This paper cites an unresolved cited work.
A Quantum Spectral Framework for Solving PDEs Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T02:13:25.694273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation a21c961f-1318-4ce3-a60a-9459aca56868 · outbound
This paper cites Cramer, M.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.686629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 1c925199-c7d2-4d91-953a-abfbc38b2a7e · outbound
This paper cites De Ryck and S.
A Quantum Spectral Framework for Solving PDEs De Ryck and S
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.690523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 0753e44a-8a64-4d89-9dcd-0bac8ef8015f · outbound
This paper cites Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations.
A Quantum Spectral Framework for Solving PDEs Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:41:19.218295Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation a3ccfab0-1584-4b79-9540-09ba610ff4e1 · outbound
This paper cites an unresolved cited work.
A Quantum Spectral Framework for Solving PDEs Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T02:13:25.698261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 9dc5e66c-6471-489a-b5f0-c671f87e0b83 · outbound
This paper cites an unresolved cited work.
A Quantum Spectral Framework for Solving PDEs Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T02:13:25.706776Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation b129a040-e6d3-428d-9162-e1ae7b0c3ee5 · outbound
This paper cites Quantum Recommendation Systems.
A Quantum Spectral Framework for Solving PDEs Quantum Recommendation Systems
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:41:19.189200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation c10a8d62-c6e4-4ed2-8bd8-2a0733a2cbd2 · outbound
This paper cites Lecture Notes on Quantum Algorithms for Scientific Computation.
A Quantum Spectral Framework for Solving PDEs Lecture Notes on Quantum Algorithms for Scientific Computation
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:41:19.223487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation b15aa50a-c382-4ca2-813b-145a3f01d081 · outbound
This paper cites Lubasch, Y.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.675171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 4be66935-be07-4a7e-a2d5-fec09329092c · outbound
This paper cites Preskill,Lecture notes for physics 229: Quantum information and computation, California institute of technology, 16 (1998), pp.
A Quantum Spectral Framework for Solving PDEs Preskill,Lecture notes for physics 229: Quantum information and computation, California institute of technology, 16 (1998), pp
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T02:13:25.679657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation d17cf7ce-0140-4d68-8bf4-5b5485488131 · outbound
This paper cites an unresolved cited work.
A Quantum Spectral Framework for Solving PDEs Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T02:13:25.683175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Pith citing papers
Observation 28065ab3-5b15-4a45-b15e-13c3484c8633 · inbound
Toward Efficient End-to-End Quantum Elliptic PDE Solvers: a Multilevel Correction Algorithm for Direct Observable Estimation cites this paper.
Toward Efficient End-to-End Quantum Elliptic PDE Solvers: a Multilevel Correction Algorithm for Direct Observable Estimation A Quantum Spectral Framework for Solving PDEs
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-07-01T21:26:16.526615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.
Observation 9da499ca-e636-4ad9-890e-c4ca192c1d0a · inbound
A Quantum Path to Partial Differential Equations cites this paper.
A Quantum Path to Partial Differential Equations A Quantum Spectral Framework for Solving PDEs
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T01:33:49.132446Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.