Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 8 inbound Pith citation observations for arXiv:2501.01934.

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

pith.paper-citation-record.v1
2501.01934 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:20:27.648019Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:08:50.278007Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

49 of 49 outbound references displayed

verified exact0
verified fuzzy15
unresolved33
parse uncertain0
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External citation measurements

5
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation e1d6ffc0-c5f4-4daa-8418-91ad28cf57c0 · outbound

This paper cites Koziel, L.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Koziel, L

Reference 1

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Observation 78374661-fb95-4b7f-bc55-108b45728846 · outbound

This paper cites an unresolved cited work.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 2

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Observation fcbea152-b963-4d3d-b03e-572534a6f2c2 · outbound

This paper cites an unresolved cited work.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 3

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Observation 53ee26ae-b8a5-459e-9e2f-05c78945b64a · outbound

This paper cites Skinner, A.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Skinner, A

Reference 4

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Observation 434b2ee9-65b9-41fb-ac57-6065b3082a29 · outbound

This paper cites an unresolved cited work.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 5

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Observation 59f2175b-a608-4a77-bd7f-a7b0e9ceda39 · outbound

This paper cites Leifsson, S.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Leifsson, S

Reference 6

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Observation d46f2f3f-75c6-42f5-b07d-3490d0699809 · outbound

This paper cites an unresolved cited work.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 7

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Reference 8

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 9

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 10

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Observation c839f7ad-7acc-442a-ac94-d4f565aba084 · outbound

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 11

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Observation 6c59063a-ba16-48d6-938c-13b6c0a12997 · outbound

This paper cites Zhang, F.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Zhang, F

Reference 12

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Observation bdeeecf8-449e-4338-b294-a3efaf166ecb · outbound

This paper cites Harada, D.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Harada, D

Reference 13

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Observation dcef72c9-0625-4497-ade2-022309962230 · outbound

This paper cites Bhatnagar, Y.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Bhatnagar, Y

Reference 14

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Observation c53f2b02-c681-45bc-a556-7b0abbbfff86 · outbound

This paper cites an unresolved cited work.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 15

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Observation 91428008-bf05-48b5-8bd8-1a95089ca08f · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Fourier Neural Operator for Parametric Partial Differential Equations

Reference 16

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 17

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Observation bb62cad9-9c64-4f40-b887-8332386dbd2d · outbound

This paper cites Tripura, S.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Tripura, S

Reference 18

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Observation e21f66f4-2313-442a-bab3-a0f63b3138b3 · outbound

This paper cites Shukla, V.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Shukla, V

Reference 19

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 20

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Observation 9a36a13a-23f3-45b7-a51b-b04bb05f65f0 · outbound

This paper cites Learning Mesh-Based Simulation with Graph Networks.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Learning Mesh-Based Simulation with Graph Networks

Reference 21

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 22

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 23

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Observation a5877bbb-8eb0-4514-bc53-306c3f3d4719 · outbound

This paper cites Peyvan, K.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Peyvan, K

Reference 24

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 25

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 26

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Observation a672d933-c7bb-4018-879f-dae88942d166 · outbound

This paper cites Scherding, G.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Scherding, G

Reference 27

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Observation 5afd61bd-156a-4ddb-9464-12ed7cd375cb · outbound

This paper cites Schouler, Y.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Schouler, Y

Reference 28

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Reference 29

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Observation a3380422-7b57-4380-b5e8-21b3e4cccd95 · outbound

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 30

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Observation 05d4b436-b1e8-4192-be2c-458b0fe9f97e · outbound

This paper cites Schlottke-Lakemper, G.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Schlottke-Lakemper, G

Reference 31

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This paper cites Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing

Reference 32

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Observation 60012bce-e646-4e9d-9869-20e440ba6d0a · outbound

This paper cites A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics

Reference 33

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Observation 7055e947-6e9c-4466-a10e-7e2985ff54f0 · outbound

This paper cites Hennemann, A.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Hennemann, A

Reference 34

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 35

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

This paper cites Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving.

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

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Observation f85f9f7e-222d-422d-8be7-d2b2f93cf50a · outbound

This paper cites Sahoo, Experiments on a blunt cone model in a hypersonic shock tunnel (2007).

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Sahoo, Experiments on a blunt cone model in a hypersonic shock tunnel (2007)

Reference 37

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 38

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 39

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Observation 78145652-f78f-44d4-b68b-1e1e1cfc4185 · outbound

This paper cites CViT: Continuous Vision Transformer for Operator Learning.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows CViT: Continuous Vision Transformer for Operator Learning

Reference 40

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Observation c3ef88f2-3779-4f87-8dab-84688f765df2 · outbound

This paper cites Seidman, G.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Seidman, G

Reference 41

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Observation 2fb3dd72-e90a-459f-be6d-97d4b56977ac · outbound

This paper cites Peyvan, V.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Peyvan, V

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:28.240055Z

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Observation dda90577-6750-472c-b343-4fc3b79d8414 · outbound

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 43

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Observation c00563ba-d621-4497-8815-9f8a886420a8 · outbound

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 44

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Observation 108c536c-552a-45cc-bf28-1660dbb963be · outbound

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 45

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23945b8c-15f4-4f3f-b9a8-135ce34ee953 · outbound

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Ronneberger, P

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:28.206044Z

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Observation 2a5714af-0797-4b80-800c-31151af77cc3 · outbound

This paper cites an unresolved cited work.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:20:28.186353Z

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Observation 60577b91-b9df-491d-9897-fa7d096c19d9 · outbound

This paper cites Sanchez-Gonzalez, J.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Sanchez-Gonzalez, J

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:28.164789Z

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Observation 7b841aa1-a43f-47f6-80d4-b004e0157ca3 · outbound

This paper cites Krizhevsky, G.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Krizhevsky, G

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:28.139628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 2d98e68b-9e65-4177-87ee-4932def20e7c · inbound

Physics-Infused Reduced-Order Modeling for Analysis of Multi-Layered Hypersonic Thermal Protection Systems cites this paper.

Physics-Infused Reduced-Order Modeling for Analysis of Multi-Layered Hypersonic Thermal Protection Systems Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 21

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Observation 9a34a808-e5fc-4c95-aef5-1e3fa609a138 · inbound

Crack Path Prediction with Operator Learning using Discrete Particle System data Generation cites this paper.

Crack Path Prediction with Operator Learning using Discrete Particle System data Generation Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 44

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Observation 05a5d1b4-d534-4133-86c4-5d0d535849ce · inbound

I-FENN with DeepONets: accelerating simulations in coupled multiphysics problems cites this paper.

I-FENN with DeepONets: accelerating simulations in coupled multiphysics problems Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-05T13:29:00.866324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b286456-d2e3-4f9a-a76f-a00f232b2a14 · inbound

Learning Rarefied Gas Dynamics with Physics-Enforced Neural Networks cites this paper.

Learning Rarefied Gas Dynamics with Physics-Enforced Neural Networks Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-04T23:56:20.898864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35ef5142-afe9-4fee-aef6-3e4b6ef09760 · inbound

Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth cites this paper.

Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-04T22:56:16.214144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c866fd0a-d1dc-4322-a41b-1ec36b7669d2 · inbound

ArGEnT: Arbitrary Geometry-encoded Transformer for Operator Learning cites this paper.

ArGEnT: Arbitrary Geometry-encoded Transformer for Operator Learning Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-16T02:32:08.989019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1a13de04-f07c-4e56-9734-e5417c1f878f · inbound

Learning the Helmholtz equation operator with DeepONet for non-parametric 2D geometries cites this paper.

Learning the Helmholtz equation operator with DeepONet for non-parametric 2D geometries Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-09T19:05:10.347090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8c63704f-bd9f-4ee4-94a2-3ff942131f39 · inbound

Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions cites this paper.

Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows

Reference 30

Resolution: malformed identifier; arxiv_id, observed 2026-05-20T07:08:07.061396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.