Paper Citation Record · LEDGER

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces

As of 8 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2509.00224.

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

pith.paper-citation-record.v1
2509.00224 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:55:43.453285Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:07:06.581765Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

verified exact2
verified fuzzy27
unresolved18
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 005edf5e-ce3c-4c27-a71a-8482c1f9f6b8 · outbound

This paper cites Norma.jl.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Norma.jl

Reference 1

Resolution: parse uncertain; raw_fallback, observed 2026-08-05T13:55:44.053164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e28beb0a-da98-4fe7-bc34-279150cdaa1d · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:44.044658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 057a23ff-4d70-4933-b3a3-a4bac4cc7e2e · outbound

This paper cites Barnett and C.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Barnett and C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:44.036148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb1e6647-2529-44e7-b40e-119f5b839c20 · outbound

This paper cites Barnett, C.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Barnett, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:44.028221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 11ffddd4-b8e4-4f06-af44-32134eb96aa8 · outbound

This paper cites Batlle, M.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Batlle, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:44.019358Z

Source-reported events for the cited work

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Observation 1d6d040c-0602-466c-a442-b71e999910f6 · outbound

This paper cites Benner, P.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Benner, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:44.010364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f008615b-14c1-43ef-8c5d-eb6ddb0b1578 · outbound

This paper cites Bonneville, Y.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Bonneville, Y

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:44.001371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 48db589b-c79b-4688-b99c-e97844d9d398 · outbound

This paper cites A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T13:55:40.704639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a0524fa-d791-406f-9447-5bad5f05c860 · outbound

This paper cites Cocola, J.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Cocola, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.992586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6cf7b815-350d-40dd-9c3d-4b6668bf98e1 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-05T13:55:43.689947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e460a003-62a5-44ec-8970-7df360b568d9 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.984178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c8f5188-51df-4618-9c7c-da37ed487a00 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-05T13:55:43.606140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a4c02a0e-e07e-4db6-9bf9-01e070831f16 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.975178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e296e547-3c7f-45b4-91d4-fc8ddc133036 · outbound

This paper cites Geelen, L.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Geelen, L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.966484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0b4554c-83bb-4ab6-b585-7be252f875a4 · outbound

This paper cites Geelen, S.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Geelen, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.958302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c039421e-35cf-4f39-916d-62ebe7cfe816 · outbound

This paper cites Ghattas and K.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Ghattas and K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.949778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60f7ae30-b269-4260-b02a-75bf1c9c6bfa · outbound

This paper cites Goyal and P.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Goyal and P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.941385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 928df4bc-d8bc-448b-96e3-01283507f06b · outbound

This paper cites Gruber and I.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Gruber and I

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.932900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe7f6b42-2239-48b2-adc6-c1009d1ea2f6 · outbound

This paper cites Gubisch and S.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Gubisch and S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.924659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3af7c5d5-a643-423b-accb-234702f47c31 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.915835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 17b8c77a-ee73-4ee3-a66c-aa7a7ea80f06 · outbound

This paper cites Hinze and S.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Hinze and S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.907819Z

Source-reported events for the cited work

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Observation bddf6785-ab6b-4cd8-92fa-1bb26f17f7aa · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.900113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 11f53d22-5c9f-48e2-b696-cc1c5c26d0f7 · outbound

This paper cites Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T13:55:42.428818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b55426d-39ed-4e04-a285-ab900002feea · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.892292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 426e5719-e31f-46ec-978a-b7409a073e9b · outbound

This paper cites Kramer, B.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Kramer, B

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.883941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6db26e9b-976b-497d-934f-d069779fc26b · outbound

This paper cites Lance, A.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Lance, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.875884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50efbaaf-84d3-4b31-b100-d510417f266c · outbound

This paper cites Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T13:55:42.786790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a207e051-9cc0-44dd-a534-b69912baab78 · outbound

This paper cites Lee and K.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Lee and K

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.867675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8b3e5ca9-2c94-4007-a203-696c6a6c7562 · outbound

This paper cites Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T13:55:43.045243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 815c3070-3062-4b25-950f-2a0a42020608 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.858935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 38068e9d-0800-42dd-9750-78228ccc78ab · outbound

This paper cites Mota and J.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Mota and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.850319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 54110107-4986-4414-900c-a6c42d9533e2 · outbound

This paper cites Ohlberger and S.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Ohlberger and S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.841683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a0447241-defc-4beb-b408-0f770a331bf5 · outbound

This paper cites Parish, M.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Parish, M

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.833370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb0aa069-4b7a-4266-94fb-5a476fe6fc3e · outbound

This paper cites Peherstorfer and K.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Peherstorfer and K

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.824809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9868111f-d1bf-4366-a799-c1bdf30f76f2 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.815552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 489329f1-9be9-4053-ba94-84d74b5db36d · outbound

This paper cites Romor, G.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Romor, G

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.806366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 28d7d0d4-3374-47f3-a17a-fca97cdc8860 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.797623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 161b129f-006e-4033-b7d3-836e81a17ea1 · outbound

This paper cites Salvador, L.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Salvador, L

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.788500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3938a339-d20a-41bd-a650-c9e869e6315b · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.778776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a81d41a-10c9-442d-bd58-eefb0c36312c · outbound

This paper cites Santin and B.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Santin and B

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.769651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2758a219-a0f4-4f55-9cc5-3cf94804c5ef · outbound

This paper cites Sch¨ olkopf, A.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Sch¨ olkopf, A

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.760809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd6fe587-7064-4acc-90b6-e3fff32e38f8 · outbound

This paper cites Schwerdtner, P.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Schwerdtner, P

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.751418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cef0fd08-494c-42dd-912b-bc39a7356514 · outbound

This paper cites Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-05T13:55:43.438706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edf7739b-0fc5-4910-a594-abeca1140587 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.742418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b2cfee6e-2e47-4329-8509-4e1530cd1f31 · outbound

This paper cites Virtanen, R.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Virtanen, R

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-05T13:55:43.444932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6edb3696-9d84-4e8c-b591-301dd25d1c34 · outbound

This paper cites Wendland.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Wendland

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.728081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 31cb377d-7be8-4bda-969c-c9a7ed9ff256 · outbound

This paper cites Woodward and P.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Woodward and P

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:55:43.718151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78aaefba-5684-4c06-80c2-002a5c1df7d1 · outbound

This paper cites an unresolved cited work.

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:55:43.708989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 98da4b84-be1b-4ba6-83b2-a33fab1c9ed4 · inbound

Hybrid coupling with operator inference and the overlapping Schwarz alternating method cites this paper.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T21:07:06.581765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.