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Paper Citation Record · LEDGER

Artifacts of Numerical Integration in Learning Dynamical Systems

As of 9 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2507.14491.

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

pith.paper-citation-record.v1
2507.14491 v4

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T04:33:46.375174Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

43 of 43 outbound references displayed

  • verified exact3
  • verified fuzzy25
  • unresolved15
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 163e4caf-28c5-4477-9ad0-96e24c5fb5cd · outbound

This paper cites Ariel, B.

Artifacts of Numerical Integration in Learning Dynamical Systems Ariel, B

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 91de29eb-e266-4f40-8b74-0412d47a1b06 · outbound

This paper cites Bertalan, F.

Artifacts of Numerical Integration in Learning Dynamical Systems Bertalan, F

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7c0dc007-3042-4e90-ae4d-2ca728f5c369 · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5d30a775-da72-4814-9693-6bc1f28867f4 · outbound

This paper cites Calvo, A.

Artifacts of Numerical Integration in Learning Dynamical Systems Calvo, A

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 988e8772-4338-4e15-985c-3bc0340a19a8 · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-05-19T05:37:06.803578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 88286c98-d1a9-44e3-af32-ec8d8fa658c5 · outbound

This paper cites Symplectic Recurrent Neural Networks.

Artifacts of Numerical Integration in Learning Dynamical Systems Symplectic Recurrent Neural Networks

Reference 6

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 073b5c96-354f-4146-8872-23bb618a0a4a · outbound

This paper cites Dahlquist, L.

Artifacts of Numerical Integration in Learning Dynamical Systems Dahlquist, L

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 16744c82-d7e7-49f9-a430-5db11eb15a53 · outbound

This paper cites Djeumou, C.

Artifacts of Numerical Integration in Learning Dynamical Systems Djeumou, C

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 2a5914d9-5213-441d-ad82-c6802b9c07a2 · outbound

This paper cites 43 Numerical Artifacts in Learning Dynamical Systems.

Artifacts of Numerical Integration in Learning Dynamical Systems 43 Numerical Artifacts in Learning Dynamical Systems

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9708e28c-27bd-40fd-bc43-31fb9e38d2f4 · outbound

This paper cites How to Learn and Generalize From Three Minutes of Data: Physics-Constrained and Uncertainty-Aware Neural Stochastic Differential Equations.

Artifacts of Numerical Integration in Learning Dynamical Systems How to Learn and Generalize From Three Minutes of Data: Physics-Constrained and Uncertainty-Aware Neural Stochastic Differential Equations

Reference 10

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a2a8166b-82d3-4523-bb8e-a1381ad0d31f · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1dfab283-1c82-4a32-93ab-513b46e1836e · outbound

This paper cites Greydanus, M.

Artifacts of Numerical Integration in Learning Dynamical Systems Greydanus, M

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 85cac28f-4ffd-463c-884a-0bff91725184 · outbound

This paper cites Hersch, F.

Artifacts of Numerical Integration in Learning Dynamical Systems Hersch, F

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 53578d97-f441-444f-a481-730c52cb6a34 · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 982dc779-f3ef-4dc5-877d-135316f5884a · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f39f7551-280b-486d-aece-a0dc034cb118 · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation bbf3ea4f-bdda-40c5-a1f9-d32efe86fb2a · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d7d34f1b-5220-4c9d-9da9-fefa289190a7 · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation edb03440-7ef2-4bc3-a893-bd469590e042 · outbound

This paper cites Laurie and J.

Artifacts of Numerical Integration in Learning Dynamical Systems Laurie and J

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 68cd13b9-232c-4336-9348-f94bd8e272d3 · outbound

This paper cites Levinson, J.

Artifacts of Numerical Integration in Learning Dynamical Systems Levinson, J

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation de3c4863-c125-498e-b55b-b4a61f2e5be7 · outbound

This paper cites 44 Numerical Artifacts in Learning Dynamical Systems.

Artifacts of Numerical Integration in Learning Dynamical Systems 44 Numerical Artifacts in Learning Dynamical Systems

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 33934b51-aa6a-4e85-8bd9-edd7c5d5a49c · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:37:06.784511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5f2e8603-0044-49c1-a897-7dc2d8a34695 · outbound

This paper cites Lucas and R.

Artifacts of Numerical Integration in Learning Dynamical Systems Lucas and R

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 482c8d5b-fab3-4a3b-892b-a4f638127b2e · outbound

This paper cites Mardt, L.

Artifacts of Numerical Integration in Learning Dynamical Systems Mardt, L

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d9cf328d-98a6-42c8-8f1a-5faa2e5f6fdc · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 25

Resolution
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raw_fallback, observed 2026-05-19T05:37:06.808738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ce8ce6a4-0b0b-496e-bee1-3c0d3df45755 · outbound

This paper cites Mezi ´c and A.

Artifacts of Numerical Integration in Learning Dynamical Systems Mezi ´c and A

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a9a1de64-7937-4dec-ad91-87b9bacdd9da · outbound

This paper cites Neary and U.

Artifacts of Numerical Integration in Learning Dynamical Systems Neary and U

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f4f8ea8a-f84a-4f5b-ab37-56de093b1cda · outbound

This paper cites Oussar and G.

Artifacts of Numerical Integration in Learning Dynamical Systems Oussar and G

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.821065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5b34cd72-5e4a-415e-a1ca-76563065a4db · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:37:06.818626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9d63cf8f-4ff8-4a5b-b20a-1ab31074e5d3 · outbound

This paper cites Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems.

Artifacts of Numerical Integration in Learning Dynamical Systems Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-05-19T04:37:04.190956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 484146ca-265e-4f82-acc4-0910ff867490 · outbound

This paper cites Rico-Martinez and I.

Artifacts of Numerical Integration in Learning Dynamical Systems Rico-Martinez and I

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.823163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6f5f48f2-dc3b-4b51-ad17-615baa8f5e35 · outbound

This paper cites Schaeffer, G.

Artifacts of Numerical Integration in Learning Dynamical Systems Schaeffer, G

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.830635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:e33cf0b5278495768d3ab50afb0511734490698cb11e13252538cb9680f1dd3b

Observation b53b9d4a-3004-4f76-bfe2-896ccd3e084c · outbound

This paper cites Schaeffer, G.

Artifacts of Numerical Integration in Learning Dynamical Systems Schaeffer, G

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.832860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:42d8be2772deb51c2cdb1721d4fe6ec4de297a0e56f73f41e255e88083c7be72

Observation 8330934c-94ff-4e22-b511-f1a110293bc3 · outbound

This paper cites Terakawa and T.

Artifacts of Numerical Integration in Learning Dynamical Systems Terakawa and T

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.835403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:0732f2cef82fe98bbee3fd58228e9037d54f55534b7a99fcf56c51df5e6a375c

Observation 0259411a-4031-415f-9f9b-18ef36b14d95 · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:37:06.837747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 25e0841a-176a-4b2f-8ef1-3346510ed682 · outbound

This paper cites Wehmeyer and F.

Artifacts of Numerical Integration in Learning Dynamical Systems Wehmeyer and F

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.811483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:e7b9b8c0125f94b1f893ce026675e4364430043bcf590827e52c7f7abd9cb84b

Observation 94d56076-c04f-413b-b2ed-a5e5f0a4bebb · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:37:06.814010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:9ee8a45cd74353a9a418211cc3efe0ab09f0480532e9447539b447e2047261a2

Observation 94d878de-198e-4fc9-a3c7-a3d9c9d2cfdd · outbound

This paper cites Yeung, S.

Artifacts of Numerical Integration in Learning Dynamical Systems Yeung, S

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.816434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:c10ad5b22d63dd13ec71106e6d3f3dd27664c01561ab23f01708b28fdbc66a5c

Observation 2389efa1-4201-440c-9370-0cac9cf984d4 · outbound

This paper cites Zhang and H.

Artifacts of Numerical Integration in Learning Dynamical Systems Zhang and H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.840058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:2b2eba3c9dd0715e4de9afaa07c32f2c461de8bf0e11166f8d905313dba2ebb9

Observation ebb5c123-2f12-46a9-9402-0b2ff5ecb94a · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:37:06.842218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:bef96e3e1385f242cfb4a4d9f3c6d840fc67b9773824180115147f17f26c8d9a

Observation 2bc7a553-d396-487a-8b0a-60c34526dd5e · outbound

This paper cites an unresolved cited work.

Artifacts of Numerical Integration in Learning Dynamical Systems Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:37:06.744490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:e8f74149530a45e5c42a354b7ef8732f4ed5d0be664bf29b66bce726f6b60e9f

Observation ccbb0dce-3600-4865-b4cc-a2be616bc928 · outbound

This paper cites Theorem 6.2.

Artifacts of Numerical Integration in Learning Dynamical Systems Theorem 6.2

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.747858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:4b30f083e030f72f66ac1a6f6e2f51aa549023e23b26e86c3d68a45468a95678

Observation b2387d10-bb27-47c3-8db3-ffe2cf152a29 · outbound

This paper cites Consequently, we conclude that if h satisifies |eλh| < 8 9, then all the roots of (40) contain negative real part.

Artifacts of Numerical Integration in Learning Dynamical Systems Consequently, we conclude that if h satisifies |eλh| < 8 9, then all the roots of (40) contain negative real part

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:37:06.750409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T04:33:46.375174Z digest=sha256:f8ab05014862bad5c4a729b4a29c964299a2bda3227ff1ad81d95f0353a88a50

Pith citing papers

No inbound Pith citation observations are available.