Paper Citation Record · LEDGER

Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1508.03280.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1508.03280 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:00:17.401597Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T16:38:40.785048Z

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 81b706f3-3628-4bf2-bd74-a2cca0adde52 · inbound

Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces cites this paper.

Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T00:00:17.401597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81e244a8-72fb-49d7-9f0e-f5301e8010bd · inbound

Avoiding spectral pollution for transfer operators using residuals cites this paper.

Avoiding spectral pollution for transfer operators using residuals Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T15:11:46.454603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78e77ad8-c06f-4424-9ba7-9e9603104c4f · inbound

Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version cites this paper.

Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-18T15:56:34.600546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c7cbd1db-39b4-4a63-86db-50f9f2e0aa07 · inbound

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families cites this paper.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T10:22:29.503904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cd71ab0-6320-4dfa-b3e1-aef125becf46 · inbound

From Witness-Space Sharpness To Family-Pointwise Exactness For The Solvability Complexity Index cites this paper.

From Witness-Space Sharpness To Family-Pointwise Exactness For The Solvability Complexity Index Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:36:02.416545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 41e32581-58b1-44f6-bb66-04369a4ff6ac · inbound

From Witness-Space Sharpness To Family-Pointwise Exactness For The Solvability Complexity Index cites this paper.

From Witness-Space Sharpness To Family-Pointwise Exactness For The Solvability Complexity Index Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-19T17:52:42.851390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 10f7bc60-061b-4d19-8be5-c09c338ffd7b · inbound

Finite-Query Collapse and Modal Exact Bases in the SCI Hierarchy cites this paper.

Finite-Query Collapse and Modal Exact Bases in the SCI Hierarchy Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:38:40.786727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd49f581-6292-4bb5-b04c-7f2b76b5cf20 · inbound

Localisation of pseudospectra on discrete groups cites this paper.

Localisation of pseudospectra on discrete groups Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T08:54:36.944314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb9f1413-9819-4d10-aa57-ee09aff62da3 · inbound

Spectral and Pseudospectral Approximation of Finite-Interaction-Range Operators in Doubling Metric Measure Spaces cites this paper.

Spectral and Pseudospectral Approximation of Finite-Interaction-Range Operators in Doubling Metric Measure Spaces Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T17:30:21.750028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.