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Paper Citation Record · LEDGER

Model Reduction and Neural Networks for Parametric PDEs

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2005.03180.

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

pith.paper-citation-record.v1
2005.03180 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:41:59.319173Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-10T06:15:00.866473Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e98a8ea4-f7d6-4b83-a7da-026fcaebbac9 · inbound

A Neural Operator based Hybrid Microscale Model for Multiscale Simulation of Rate-Dependent Materials cites this paper.

A Neural Operator based Hybrid Microscale Model for Multiscale Simulation of Rate-Dependent Materials Model Reduction and Neural Networks for Parametric PDEs

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T23:41:59.319173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:41:59.319173Z digest=sha256:58ef07e7ebcefadb3a20a95b85a8f7a75dd03c60d6af58688f406f1537a226f6

Observation 31abaafa-2aa3-40bf-b902-34a0d3e23087 · inbound

Modeling turbulent and self-gravitating fluids with Fourier neural operators cites this paper.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Model Reduction and Neural Networks for Parametric PDEs

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:04.878904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T10:46:04.878904Z digest=sha256:e912dd5878fdf0875a230c2fae28eeb4f45665b923e22fd4e11bcb7b7b89f670

Observation 744be830-ce65-4e1c-891e-4d7c403015b7 · inbound

Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems cites this paper.

Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems Model Reduction and Neural Networks for Parametric PDEs

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-03T01:14:10.126694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:14:10.126694Z digest=sha256:98249321c3b1d381ff4c23de8308942e51e73425286ba53049233511991d1120

Observation 9c244606-5cc8-4ffe-a798-c4c31210daad · inbound

Physics-Informed Reduced-Order Operator Learning for Hyperelasticity in Continuum Micromechanics cites this paper.

Physics-Informed Reduced-Order Operator Learning for Hyperelasticity in Continuum Micromechanics Model Reduction and Neural Networks for Parametric PDEs

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:05:52.696126Z

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.

source=pdf_text observed=2026-05-11T03:02:47.843748Z digest=sha256:e542c396256245f73b62880caf60feb37f7c4f7e92ba0d0971e1e6b30add8baa