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Paper Citation Record · LEDGER

Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2407.15887.

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

pith.paper-citation-record.v1
2407.15887 v3

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 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:28:16.231596Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T07:45:28.943322Z

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 f4359bec-f3cb-4bcc-8117-f24e9bbdde0a · inbound

Learning Hidden Physics and System Parameters with Deep Operator Networks cites this paper.

Learning Hidden Physics and System Parameters with Deep Operator Networks Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-23T07:45:28.946218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T07:44:41.833239Z digest=sha256:f1f8968dd4a6273cb082c2c2df96a7412e6f3ae9e7d7dc4574c95cb1707aefc0

Observation 483b4b44-ae7b-4671-a493-c567268f02e6 · inbound

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems cites this paper.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-11T17:28:16.231596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:28:16.231596Z digest=sha256:9b06d1839ba5467892d353f90b428372e7ffb7614b02279729c48ec91e048072

Observation 7022390b-1cf6-458e-816b-ebe722a9d9b1 · inbound

An Attention-based Spatio-Temporal Neural Operator for Evolving Physics cites this paper.

An Attention-based Spatio-Temporal Neural Operator for Evolving Physics Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T04:18:14.119838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:18:14.119838Z digest=sha256:41fe3a1dec5e77f65dda282dc2e514f9213945997de6a955975b6014c8b09d5d

Observation 3b5c200d-9314-4efb-a6d6-def51ad05f51 · inbound

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields cites this paper.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T10:13:39.975906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:13:39.975906Z digest=sha256:d7efdfedeb06a37ce2cb96769412f2da25ea23c6a8625edad872e61a1f13bd2b