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Paper Citation Record · LEDGER

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

As of 10 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2601.12044.

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

pith.paper-citation-record.v1
2601.12044 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:22:30.831386Z

measured 19 of 19 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

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External citation measurements

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Outbound references

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

This paper cites Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms.

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:22:29.503904Z digest=sha256:c451ef3833afca8541e2a79c08868d49103f36b4feec166e6410119eceb14694

Observation c68dc161-69d3-42d7-8968-a5b898ff5f58 · outbound

This paper cites Modern Koopman Theory for Dynamical Systems.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Modern Koopman Theory for Dynamical Systems

Reference 2

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source=arxiv_source observed=2026-08-03T10:22:29.660866Z digest=sha256:07a30267ad30f340bcc1023bfd1cc32d81610bd5a8198486adad1d583fb96a1d

Observation db4e8744-9225-40ea-880b-2fce0c8e0ff2 · outbound

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

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces

Reference 3

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source=arxiv_source observed=2026-08-03T10:22:29.710782Z digest=sha256:3e4794377bfb31a95b2baf0cb33119202311cf013553f415d45df39ad6c31274

Observation 89e42896-b48f-4378-9eb0-f7b0e33b5de2 · outbound

This paper cites Handbook of computability and complexity in analysis.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Handbook of computability and complexity in analysis

Reference 4

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source=arxiv_source observed=2026-08-03T10:22:29.772913Z digest=sha256:af4c35c3d43b7d882d979265f758e37f2c61b0673c9559567c3db58deb714871

Observation d6cc1d97-544c-4b51-800e-bde5e99f3186 · outbound

This paper cites Applied koopmanism.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Applied koopmanism

Reference 5

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source=arxiv_source observed=2026-08-03T10:22:29.832618Z digest=sha256:da89cb43d7fc42d7c6aa19eb5d8efd940995abb73319195d0d25413c3ea44b46

Observation acce6886-126c-45c0-989e-2c80bc5d8b2d · outbound

This paper cites Weihrauch Complexity and the Hagen School of Computable Analysis.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Weihrauch Complexity and the Hagen School of Computable Analysis

Reference 6

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source=arxiv_source observed=2026-08-03T10:22:29.884897Z digest=sha256:339147d3b7f7a835edc1857d9dc4dac5d1463feed0c9f53c7d3bf576d27755ae

Observation 3122949f-efb2-4e89-bfbe-e5bea6d37299 · outbound

This paper cites The foundations of spectral computations via the solvability complexity index hierarchy.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families The foundations of spectral computations via the solvability complexity index hierarchy

Reference 7

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source=arxiv_source observed=2026-08-03T10:22:29.968927Z digest=sha256:80f658688a4b6778247a60f1117e03032e489ad8a9fefb181c000fe88ca0b77a

Observation f61086e2-afb1-4f3f-a193-745cab171e6b · outbound

This paper cites Adversarial dynamical systems characterize when data-driven learning succeeds or fails.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Adversarial dynamical systems characterize when data-driven learning succeeds or fails

Reference 8

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Observation 08f98a19-9b3d-4e59-82a7-8bda02721f7e · outbound

This paper cites On the solvability complexity index, the -pseudospectrum and approximations of spectra of operators.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families On the solvability complexity index, the -pseudospectrum and approximations of spectra of operators

Reference 9

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source=arxiv_source observed=2026-08-03T10:22:30.105045Z digest=sha256:bdae228e062f438da8fa157002ea59967d412d875d105340eb8abffa8f9aafe2

Observation 1342bcc9-4035-4dd1-9259-7460de7e40fa · outbound

This paper cites Classical descriptive set theory , volume 156.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Classical descriptive set theory , volume 156

Reference 10

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source=arxiv_source observed=2026-08-03T10:22:30.209348Z digest=sha256:f25811c9210ae85fed2b36b2f7520b3faa5af47276e67f2446627528f528e915

Observation f131f58d-fd49-4ddf-8fea-ebec2816cf4c · outbound

This paper cites Hamiltonian systems and transformation in hilbert space.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Hamiltonian systems and transformation in hilbert space

Reference 11

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source=arxiv_source observed=2026-08-03T10:22:30.334663Z digest=sha256:dfe449a4e971152d1a0b87e20a9c62581e05878d0b8a733320b02d9aeece02bf

Observation fae2c6f9-b073-49ec-abbe-8a4183ae6723 · outbound

This paper cites Chapter 5 - borel sets and functions.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Chapter 5 - borel sets and functions

Reference 12

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source=arxiv_source observed=2026-08-03T10:22:30.457351Z digest=sha256:609e490737ce6ca65fd9a57807fb7177c57908034205763f79a71a931bad0d5b

Observation 622f8e8b-3acc-4802-9555-ddca77954763 · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Spectral properties of dynamical systems, model reduction and decompositions

Reference 13

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source=arxiv_source observed=2026-08-03T10:22:30.489281Z digest=sha256:5d59184134870148573aff895a1a10dd05a645aaaa9bc14d612fd91e6ce93d71

Observation d7bef906-4607-4f41-97d4-802b119f0391 · outbound

This paper cites Ideal analytic sets.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Ideal analytic sets

Reference 14

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source=arxiv_source observed=2026-08-03T10:22:30.530151Z digest=sha256:af367e91fcfcdc005c33202d8bb9fec6abf8a173e5e6b18eac1bfc1c0dc2c4c6

Observation b52b9ed7-eee0-489e-9ae3-973d330fde5b · outbound

This paper cites A topological view on algebraic computation models.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families A topological view on algebraic computation models

Reference 15

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source=arxiv_source observed=2026-08-03T10:22:30.597993Z digest=sha256:282d55ba8171e311ae636c7b9fc6cc274b11e03a15f44ea86921d8e26761461e

Observation 753e66d3-7d01-400f-b76f-6710139b9f21 · outbound

This paper cites Spectral analysis of nonlinear flows.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Spectral analysis of nonlinear flows

Reference 16

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source=arxiv_source observed=2026-08-03T10:22:30.663796Z digest=sha256:394de6550f375cf701d2a3e075aa35ca999a0cf8335f1006272b8e3cef923369

Observation cb506245-0f49-405d-a5d6-e4a8f8cec056 · outbound

This paper cites Dynamic mode decomposition of numerical and experimental data.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Dynamic mode decomposition of numerical and experimental data

Reference 17

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source=arxiv_source observed=2026-08-03T10:22:30.726603Z digest=sha256:f1e22a90dff1d9ce3be19a1b33a766dc734c369c7c43ef862905e00c2d3f7dd7

Observation d2b86e11-ebae-4cbf-809b-70ab8ddf5940 · outbound

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

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version

Reference 18

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source=arxiv_source observed=2026-08-03T10:22:30.759270Z digest=sha256:1c7e0076cc794f83b292438d48cfee5be8589a3cf89fa992f965c1f4ce8b6bf7

Observation 699a6a1c-e1cf-4e30-b8e5-d709882bf2f4 · outbound

This paper cites A course on Borel sets.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families A course on Borel sets

Reference 19

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Pith citing papers

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