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Paper Citation Record · LEDGER

Guaranteeing Conservation of Integrals with Projection in Physics-Informed Neural Networks

As of 8 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2511.09048.

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

pith.paper-citation-record.v1
2511.09048 v2

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:46:59.143229Z

measured 5 of 5 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

5 of 5 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6de7b2cb-75d2-4823-854f-55ae1ac49788 · outbound

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

Guaranteeing Conservation of Integrals with Projection in Physics-Informed Neural Networks Challenges in Training PINNs: A Loss Landscape Perspective

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-03T22:46:59.139134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:46:59.139134Z digest=sha256:12f4e5f396a9f577e29dc409b817371f1c86a48e270f50121fbf9c425166143c

Observation a1e2bea5-0e05-41e9-b796-cfe50a6f8c43 · outbound

This paper cites Learning differentiable solvers for systems with hard constraints.

Guaranteeing Conservation of Integrals with Projection in Physics-Informed Neural Networks Learning differentiable solvers for systems with hard constraints

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-03T22:46:59.135854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:46:59.135854Z digest=sha256:3a76c34c499b421a136e628b072e408abb3e35642052992bb38bba7682e39717

Observation eedc08e5-2ee9-4477-9528-4351ae21b3fb · outbound

This paper cites Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws.

Guaranteeing Conservation of Integrals with Projection in Physics-Informed Neural Networks Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-03T22:46:59.132207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:46:59.132207Z digest=sha256:98b88598a5903dd4ebed53cd358ec0225eb44539a827fffa0b5b7048995fa30c

Observation 30c26e07-68a8-40bf-819d-66d383136c38 · outbound

This paper cites Lagrangian neural networks.

Guaranteeing Conservation of Integrals with Projection in Physics-Informed Neural Networks Lagrangian neural networks

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T22:46:59.128106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:46:59.128106Z digest=sha256:db5a43575d7e79c7f195da08a9b5c52732af5123ce67f80d0fd629fc5ee32ad5

Observation 0b46ec34-933d-4f73-8b0b-644d82f0b632 · outbound

This paper cites Each 2D PDE dataset had parameters ∆x= 1/16,X= [0,2],∆t= 0.01,T= [0,0.99],(n x, ny)= (32, 32), andn t = 100, so each had 25,600 total state valuesu.

Guaranteeing Conservation of Integrals with Projection in Physics-Informed Neural Networks Each 2D PDE dataset had parameters ∆x= 1/16,X= [0,2],∆t= 0.01,T= [0,0.99],(n x, ny)= (32, 32), andn t = 100, so each had 25,600 total state valuesu

Reference 4090

Resolution
unresolved
no resolver link, observed 2026-08-03T22:46:59.143229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:46:59.143229Z digest=sha256:b058564095693de01975446607419bb66bbfaf001ad65f32140d47f2e66f1bc0

Pith citing papers

No inbound Pith citation observations are available.