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Paper Citation Record · LEDGER

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

As of 15 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 2026-08-15T06:32:42.880941+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

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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=sha256:2d3716e86d20663eda073e51a6a143ea9ad2cab20919ca21454b084c0ef69c78

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=sha256:3b3525015b438b2b4e070ba003aef8507a08e316e9247c15bf31395b236580fa

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=sha256:9ce05304adb32180585d2aa2da3747d794d8ff516feeb1d935bc83360d39dcf9

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

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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=sha256:866c5e187d93b7649ac7020f1c5edff7101797f38ed956528135e0dfdce47dbe

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:01:26.449997Z digest=sha256:04954d22542be59f9efb0ff4c5129aded4e01edb93222d3ac9b9d81f15d61cf1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:01:26.815459Z digest=sha256:b607d132a2586998ba30ff6881dde95c417b1f96ad8dc525e1925a8be2762c31

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=sha256:860f6fcd536277ed883f631178920e240e0b02c14b499b6674f5b9246621a8bd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:01:27.350247Z digest=sha256:db6e681cabb417e96a9972d43ab35d6c2707c53d621715637e361e4b52554bbc

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=sha256:48ff4fbebd876c33a6e42f21df1a64200e454688daa97cf8ebb40221da682fff

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=sha256:168ef0502e2cc9dd3372b4def5cc95ed141db89a0687c61be3dc511483144ed8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:01:26.882042Z digest=sha256:bebba20b4fa110230c45a71b05e310cc82300745cc149fe4ca1a80643e5fbb51

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=sha256:6066b53dad71532e8717acbe474074279e354428da731f749f7789391f990f35

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=sha256:484b8cde5e3efc31f0b63f9ec8ecb6cd71d4eeab6eda53be640d8a8d0f294216

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:01:26.756744Z digest=sha256:7d75994e384727966aeac9fc72b2bfadfc98eff4cd1a6336c374a2a8c2cb36bd

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 2026-08-15T06:32:42.880941+00:00.

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