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Paper Citation Record · LEDGER

Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2408.02198.

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

pith.paper-citation-record.v1
2408.02198 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:14:22.143906Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T07:45:28.907389Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • 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 e40e5a63-b732-4a8e-8f83-091b31170c7d · inbound

What do physics-informed DeepONets learn? Understanding and improving training for scientific computing applications cites this paper.

What do physics-informed DeepONets learn? Understanding and improving training for scientific computing applications Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T11:14:22.143906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:14:22.143906Z digest=sha256:6a929456e9aea649b4f92217648271c2a89f602c6f40bb9365fc8501c1a7b956

Observation f84360fd-a4c7-4b4c-a1b9-98ec397f884c · inbound

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

Learning Hidden Physics and System Parameters with Deep Operator Networks Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-23T07:45:28.910218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T07:44:41.833239Z digest=sha256:65b50397649e804c5675c7528e0ad886d5575735fda9f3f5ef8d6c84db67d12d

Observation aae18416-9640-4070-b1a9-91779121f3f5 · inbound

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows cites this paper.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T22:20:27.563324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:20:27.563324Z digest=sha256:0a40244ac336dc140540738f85fd512027738c1e898dbd15b3740f18fa1e2cc2