Paper Citation Record · LEDGER

Scalable nonlinear manifold reduced order model for dynamical systems

As of 14 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2412.00507.

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

pith.paper-citation-record.v1
2412.00507 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:24:49.191809Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:04:14.221826Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T04:52:03.794639Z

Reference resolution

48 of 48 outbound references displayed

verified exact1
verified fuzzy20
unresolved27
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d634bbfc-c154-41ad-9980-16bfaf394fbc · outbound

This paper cites Diaz, Youngsoo Choi, and Matthias Heinkenschloss.

Scalable nonlinear manifold reduced order model for dynamical systems Diaz, Youngsoo Choi, and Matthias Heinkenschloss

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.607930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1cdf26ba-758a-4fad-bea9-7d27ddfaef8c · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.599169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0f89b63a-b879-4107-abeb-40bd548b5b59 · outbound

This paper cites Maday and E.

Scalable nonlinear manifold reduced order model for dynamical systems Maday and E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.589644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e2de188d-ebe0-4dc0-902d-23acbf5b0b6d · outbound

This paper cites Maday and E.

Scalable nonlinear manifold reduced order model for dynamical systems Maday and E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.580740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3f446350-821b-4643-9aa7-53ed85e89712 · outbound

This paper cites Iapichino, A.

Scalable nonlinear manifold reduced order model for dynamical systems Iapichino, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.572292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d48b581e-ea65-40cc-b4d9-289bcb339a48 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.564176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 39d966e4-647c-412f-8944-31609d919948 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.555028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7bea8df5-4085-462d-b135-698dae4a3ad0 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.546467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e720231-4773-454b-972a-d97f0e4baebd · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.536761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8d8e724-dd6d-4dfa-a27d-aff7b8cff336 · outbound

This paper cites Buffoni, H.

Scalable nonlinear manifold reduced order model for dynamical systems Buffoni, H

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.527919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bac5f64f-ab03-42a4-881d-44e2d0aa4d34 · outbound

This paper cites The Schwarz alternating method for the seamless coupling of nonlinear reduced order models and full order models.

Scalable nonlinear manifold reduced order model for dynamical systems The Schwarz alternating method for the seamless coupling of nonlinear reduced order models and full order models

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.076084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c34f9df-3ef8-483c-a398-2e2ba3cf1569 · outbound

This paper cites Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment.

Scalable nonlinear manifold reduced order model for dynamical systems Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:24:49.234922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 01ae2c63-0724-49de-b204-aa657a0556e8 · outbound

This paper cites Iollo, G.

Scalable nonlinear manifold reduced order model for dynamical systems Iollo, G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.518940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0f3578d8-4d59-41bd-aba5-dc59ceb6e319 · outbound

This paper cites Hoang, Y.

Scalable nonlinear manifold reduced order model for dynamical systems Hoang, Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.508785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aa67b4ef-da07-408c-88c1-6525665757c3 · outbound

This paper cites Haasdonk.

Scalable nonlinear manifold reduced order model for dynamical systems Haasdonk

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.499678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 632a4bf7-2230-433e-be8c-1b86a000aa0b · outbound

This paper cites Quarteroni, A.

Scalable nonlinear manifold reduced order model for dynamical systems Quarteroni, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.490421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0cf7d6b4-067e-4f0b-a2df-41dfc5cb8ae6 · outbound

This paper cites Hinze and S.

Scalable nonlinear manifold reduced order model for dynamical systems Hinze and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.481587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9a4a9ff5-f631-4a03-8600-7ebfa80a5e3d · outbound

This paper cites Gubisch and S.

Scalable nonlinear manifold reduced order model for dynamical systems Gubisch and S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.472236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ffc31a3b-959a-4eab-8eed-cdb2f50a45de · outbound

This paper cites Local la- grangian reduced-order modeling for the rayleigh-taylor instability by solution manifold decom- position.

Scalable nonlinear manifold reduced order model for dynamical systems Local la- grangian reduced-order modeling for the rayleigh-taylor instability by solution manifold decom- position

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.101852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec1117cc-e066-4073-a2c6-3169a7402884 · outbound

This paper cites Reduced order models for lagrangian hydrodynamics.

Scalable nonlinear manifold reduced order model for dynamical systems Reduced order models for lagrangian hydrodynamics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.105095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c4ea6cb-6db4-4908-8cb1-da7a1e70fb34 · outbound

This paper cites Conservative model reduction for finite-volume models.

Scalable nonlinear manifold reduced order model for dynamical systems Conservative model reduction for finite-volume models

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.108086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14df0923-66dc-4850-b284-5732465a5cd9 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.449220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5275962f-29b0-4c82-b52b-4a125628ce66 · outbound

This paper cites Benner and T.

Scalable nonlinear manifold reduced order model for dynamical systems Benner and T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.439694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2fae7618-deb4-4e1f-9614-c10e02bc1d02 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.430903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 16f0016b-af37-452b-9084-5ef9ec469bf6 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.421488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5c6496c5-e1b8-4940-b8b3-d8d578496335 · outbound

This paper cites Benner and T.

Scalable nonlinear manifold reduced order model for dynamical systems Benner and T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.412800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0eafe962-c73e-43ed-a4de-e9bebb593441 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.403030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 71758e75-7d0b-4de4-bd49-b1f8072879ba · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.393734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ab8e8e13-48de-4ea4-bdba-e371cce38dab · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.384619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8ffc959b-8a38-4a6e-98fa-06ad4c127f35 · outbound

This paper cites Space–time reduced order model for large-scale linear dynamical systems with application to boltzmann transport problems.

Scalable nonlinear manifold reduced order model for dynamical systems Space–time reduced order model for large-scale linear dynamical systems with application to boltzmann transport problems

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.135194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13d098ed-db4b-4a50-ba5e-8f1c0623cfe7 · outbound

This paper cites Efficient space–time reduced order model for linear dynamical systems in python using less than 120 lines of code.

Scalable nonlinear manifold reduced order model for dynamical systems Efficient space–time reduced order model for linear dynamical systems in python using less than 120 lines of code

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.139246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54e7cc4b-9958-4cb0-87a6-781907e57efe · outbound

This paper cites Space–time least-squares petrov–galerkin projection for nonlinear model reduction.

Scalable nonlinear manifold reduced order model for dynamical systems Space–time least-squares petrov–galerkin projection for nonlinear model reduction

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.142234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7520a709-aae9-4eee-9aa3-11bfd72d7b33 · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.361049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b5fc3237-0457-498a-8df0-2a56e7a5d6ca · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.351365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d1d4d731-3dea-4778-b0bc-d651c5f22733 · outbound

This paper cites Parametric dy- namic mode decomposition for reduced order modeling.

Scalable nonlinear manifold reduced order model for dynamical systems Parametric dy- namic mode decomposition for reduced order modeling

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.342396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 56dc934b-44bd-4bae-88e6-2b6f28f6fd33 · outbound

This paper cites Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models.

Scalable nonlinear manifold reduced order model for dynamical systems Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.155002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6283890a-3488-4f1e-a4b5-7b386e2295e6 · outbound

This paper cites Component-wise reduced order model lattice-type structure design.

Scalable nonlinear manifold reduced order model for dynamical systems Component-wise reduced order model lattice-type structure design

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.158079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f981b0cd-4944-4b0d-afcd-768dccb88d59 · outbound

This paper cites Gradient-based constrained optimization using a database of linear reduced-order models.

Scalable nonlinear manifold reduced order model for dynamical systems Gradient-based constrained optimization using a database of linear reduced-order models

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.161015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77650993-f0a0-4f9d-9f14-552488e22dd9 · outbound

This paper cites Lin, Du T.

Scalable nonlinear manifold reduced order model for dynamical systems Lin, Du T

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.317227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1de8ae90-ead7-4d93-8198-1d8da040156e · outbound

This paper cites Scaled-up prediction of steady Navier-Stokes equation with component reduced order modeling.

Scalable nonlinear manifold reduced order model for dynamical systems Scaled-up prediction of steady Navier-Stokes equation with component reduced order modeling

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.167073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caf7f01d-a9ac-4e21-9217-a457591303de · outbound

This paper cites Ohlberger and S.

Scalable nonlinear manifold reduced order model for dynamical systems Ohlberger and S

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.308581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ea7a3e73-f28c-438b-a0a7-e80b94108e8c · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.299653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bb191884-11d1-4e03-9169-6d9ea73eb5a9 · outbound

This paper cites Hartman and L.

Scalable nonlinear manifold reduced order model for dynamical systems Hartman and L

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.289273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 54282fe5-da98-4999-a83b-0ef184916044 · outbound

This paper cites Lee and K.

Scalable nonlinear manifold reduced order model for dynamical systems Lee and K

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.279737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8eec0f89-622a-4e89-b727-3be4be1b4c6c · outbound

This paper cites an unresolved cited work.

Scalable nonlinear manifold reduced order model for dynamical systems Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:24:49.270389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 179db647-805e-4360-90d7-44c6c9451779 · outbound

This paper cites Efficient nonlinear manifold reduced order model.

Scalable nonlinear manifold reduced order model for dynamical systems Efficient nonlinear manifold reduced order model

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-12T05:24:49.184789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8494d8a-9d7e-474b-99ae-098a85c3eaf9 · outbound

This paper cites Barnett, C.

Scalable nonlinear manifold reduced order model for dynamical systems Barnett, C

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.261239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c43da2b-7dd1-441b-89e8-6719589b0e25 · outbound

This paper cites Compute platforms.

Scalable nonlinear manifold reduced order model for dynamical systems Compute platforms

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:24:49.252014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 917f78e7-ce86-4000-b403-c990b06a75ab · inbound

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor cites this paper.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Scalable nonlinear manifold reduced order model for dynamical systems

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T13:04:14.221826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7be77520-e0f2-4b47-af95-a075e7d8dcfd · inbound

Latent Space Dynamics Identification for Interface Tracking with Application to Shock-Induced Pore Collapse cites this paper.

Latent Space Dynamics Identification for Interface Tracking with Application to Shock-Induced Pore Collapse Scalable nonlinear manifold reduced order model for dynamical systems

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-19T04:52:03.795986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.