Paper Citation Record · LEDGER

Artifacts of Numerical Integration in Learning Dynamical Systems

As of 10 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 2026-08-09T06:31:02.800959+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
malformed identifier0
metadata mismatch0

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.800841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.781942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.787287Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.797962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; arxiv_id, observed 2026-05-19T04:37:04.200662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.779052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; raw_fallback, observed 2026-05-19T05:37:06.759432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.761603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; arxiv_id, observed 2026-05-19T04:37:04.196249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.755009Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.752953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.757336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.763648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.765892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.768538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.771230Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; raw_fallback, observed 2026-05-19T05:37:06.776201Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; raw_fallback, observed 2026-05-19T05:37:06.773593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.806093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; raw_fallback, observed 2026-05-19T05:37:06.795263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; raw_fallback, observed 2026-05-19T05:37:06.792663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:37:06.790009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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: unresolved; 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 2026-08-09T06:31:02.800959+00:00.

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; raw_fallback, observed 2026-05-19T05:37:06.825695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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; raw_fallback, observed 2026-05-19T05:37:06.827920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

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 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.