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Paper Citation Record · LEDGER

Learning solution operators of PDEs defined on varying domains via MIONet

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2402.15097.

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

pith.paper-citation-record.v1
2402.15097 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:31:53.123755Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T06:02:38.228079Z

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 50378469-3c65-4624-b2e9-45522e65d685 · inbound

A deformation-based framework for learning solution mappings of PDEs defined on varying domains cites this paper.

A deformation-based framework for learning solution mappings of PDEs defined on varying domains Learning solution operators of PDEs defined on varying domains via MIONet

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-12T04:31:53.123755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:31:53.123755Z digest=sha256:d0f48664e0e7a247d82d5be6ff0d6f11db913ee62a2550bfea27c07de9de104b

Observation f391b816-9c82-42e3-8c5b-f4e9a64af76e · inbound

Lower Bound on the Representation Complexity of Antisymmetric Tensor Product Functions cites this paper.

Lower Bound on the Representation Complexity of Antisymmetric Tensor Product Functions Learning solution operators of PDEs defined on varying domains via MIONet

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-23T06:02:38.231034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T05:58:24.616948Z digest=sha256:6c0f3719c0b1fec0eb395b2d4ed5a69d7f791b02d373bf9b1263f5d1bce19d9a

Observation 934be89f-97f7-439d-a03f-9cf526ab94ab · inbound

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries cites this paper.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Learning solution operators of PDEs defined on varying domains via MIONet

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-10T15:12:46.246352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:12:46.246352Z digest=sha256:33273bb1ee9d52016e3a5baeefe93439b10a8e4f5119a3fba21a7350c42799b5

Observation 862a5223-0a74-4cd7-a7e7-01c99a0e6e9e · inbound

DD-DeepONet: Domain decomposition and DeepONet for solving partial differential equations in three application scenarios cites this paper.

DD-DeepONet: Domain decomposition and DeepONet for solving partial differential equations in three application scenarios Learning solution operators of PDEs defined on varying domains via MIONet

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-06T10:20:47.208129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:20:47.208129Z digest=sha256:ca4421fc0ee40ea429ddd0aa57256386268897f5cc481aa0558864dac92e2adf

Observation 12ec66b1-3216-4b22-a2f8-7cdb72da8650 · inbound

Neural Shape Operator Surrogates -- Expression Rate Bounds cites this paper.

Neural Shape Operator Surrogates -- Expression Rate Bounds Learning solution operators of PDEs defined on varying domains via MIONet

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-05-10T11:10:09.866229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T04:53:12.913999Z digest=sha256:c39fd4e13cb8f4394828abd2031ef84463a7d137713f65f1f9c1dfc1581f7d17