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Paper Citation Record · LEDGER

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints

As of 9 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2505.20515.

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

pith.paper-citation-record.v1
2505.20515 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:01:27.491306Z

measured 15 of 15 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T03:02:34.692289Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T03:03:37.391909Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact4
  • verified fuzzy1
  • unresolved8
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c43ea66e-c662-4033-973d-f97023aed17a · outbound

This paper cites Julia: A Fast Dynamic Language for Technical Computing.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Julia: A Fast Dynamic Language for Technical Computing

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:26.340167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:26.340167Z digest=sha256:11392b2309696cdd172c9263d45cbbc32ba06727394d5be8efcae46b0bca8460

Observation 86135ece-72bf-4e1c-9e7b-0328945ba23b · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Adam: A Method for Stochastic Optimization

Reference 5

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unresolved
no resolver link, observed 2026-08-07T14:01:26.600347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:26.600347Z digest=sha256:aad54491e1dc09f24c9f84508a6e2c3c67779a37ab4a6e80ca62eeeca61bc204

Observation 8a608256-b366-4815-b5c5-8b59c586be37 · outbound

This paper cites Differentiable programming for differential equations: A review.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Differentiable programming for differential equations: A review

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:27.223016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:27.223016Z digest=sha256:eb909c4694ebf293a0945e9b49ae538977589b7fd376dc9f07fca2151c7b10be

Observation ba641039-8338-4e98-9689-a3d5218ffd75 · outbound

This paper cites Projected Neural Differential Equations for Learning Constrained Dynamics.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Projected Neural Differential Equations for Learning Constrained Dynamics

Reference 14

Resolution
malformed identifier
no resolver link, observed 2026-08-07T14:01:27.491306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:27.491306Z digest=sha256:5c431b3fc48a041822914e71e99ba0b8a3a681705085b0eea9b56ec1ec9ee5c8

Observation 496c88bd-0849-4857-9866-0e005b9045f9 · outbound

This paper cites Deconstructing the Inductive Biases of Hamiltonian Neural Networks.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Deconstructing the Inductive Biases of Hamiltonian Neural Networks

Reference 1986

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:01:28.615643Z

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=2026-08-07T14:01:26.449997Z digest=sha256:a89b71801692f88148860159935bf8852f10ad7d62f3dd565b3c439f536c5890

Observation 5005a799-eb2d-4f56-85ad-3c0e518362e9 · outbound

This paper cites J., Guo, X., and Rackauckas, C.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints J., Guo, X., and Rackauckas, C

Reference 1989

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:01:28.791608Z

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=2026-08-07T14:01:26.815459Z digest=sha256:b1d122341b0ae30b8af8a31319e2ec2fe33bc4402321a4b6999b5b2a8fe58c63

Observation 1105abdb-0223-456d-ba8c-320aea864c80 · outbound

This paper cites Lagrangian Neural Networks.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Lagrangian Neural Networks

Reference 1996

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:26.377662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:26.377662Z digest=sha256:29ed4fc01005bb1644184c6f5e057e0aee9898f3589a71e87a2329ffbe07b73f

Observation 1d704322-342a-40f3-bfce-409327880def · outbound

This paper cites Stabilized Neural Differential Equations for Learning Dynamics with Explicit Constraints.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Stabilized Neural Differential Equations for Learning Dynamics with Explicit Constraints

Reference 1999

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:01:28.074279Z

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=2026-08-07T14:01:27.350247Z digest=sha256:507ddc3996f848b6af1583df81def40e8e949795217077aa6c3d8fcb5c382b4d

Observation d9bb684b-c245-40c4-8340-d998e1183355 · outbound

This paper cites Learning Neural Differential Algebraic Equations via Operator Splitting.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Learning Neural Differential Algebraic Equations via Operator Splitting

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:26.679665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:26.679665Z digest=sha256:da3462a1484d9c13532f0f33234915f9c4ce2a2dde739ad32461219bc432cf06

Observation bbaad7f2-c69e-4852-a2a4-60c2531db9f1 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Universal Differential Equations for Scientific Machine Learning

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:26.956953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:26.956953Z digest=sha256:b708c7068e0ca30482355cacf626842d2e99adc322f8d2dafa29bd234a3d24d5

Observation 4872b910-cf9a-4d8d-a00e-5ff074722431 · outbound

This paper cites On Efficient Training & Inference of Neural Differential Equations, 2023a.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints On Efficient Training & Inference of Neural Differential Equations, 2023a

Reference 2018

Resolution
verified exact
doi, observed 2026-08-07T14:01:27.818285Z

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=2026-08-07T14:01:26.882042Z digest=sha256:214437225a52e344cc1a4256e3c2e6a2dcf1a1f3b752c8a94eef10009afcfe1e

Observation a4ef5262-c982-4d57-9de6-e8390c6ee1fa · outbound

This paper cites Challenges in Training PINNs: A Loss Landscape Perspective.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Challenges in Training PINNs: A Loss Landscape Perspective

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:27.087467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:27.087467Z digest=sha256:41c2f2f2640fba17b64aeef28620e55f2069a1ff34a0bb5ed5b0eae540001605

Observation f4c55acd-ce72-4071-86e2-706bc86924c4 · outbound

This paper cites On Neural Differential Equations.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints On Neural Differential Equations

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:26.511697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:26.511697Z digest=sha256:bdbcdc9b0ac69660758dad862057520b75ed5cf0f34f741ab6fb44c7b6407125

Observation 3b89a1ee-4b58-483e-b88a-7124480e9d8a · outbound

This paper cites Unifying physical systems' inductive biases in neural ODE using dynamics constraints.

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints Unifying physical systems' inductive biases in neural ODE using dynamics constraints

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:01:28.391575Z

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=2026-08-07T14:01:26.756744Z digest=sha256:00e1e609724819581dec681c117bc895bcce5c98ccfe73c4aaf385f4e92b5ce6

Pith citing papers

Observation c9070bd4-0a35-4790-9e02-4a60d70cf6f5 · inbound

Physics-Guided Dimension Reduction for Simulation-Free Operator Learning of Stiff Differential-Algebraic Systems cites this paper.

Physics-Guided Dimension Reduction for Simulation-Free Operator Learning of Stiff Differential-Algebraic Systems Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-10T03:03:37.393379Z

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=2026-05-10T03:02:34.692289Z digest=sha256:5faba5156ab81574888480d380c4aec5470b3e167c1e11adfbff9cf97bab9f8c