Paper Citation Record · LEDGER

A Mathematical Guide to Operator Learning

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2312.14688.

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

pith.paper-citation-record.v1
2312.14688 v1

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measured 16 of 16 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:57:49.312407Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T02:59:25.642553Z

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Outbound references

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Pith citing papers

Observation 8442d086-e108-4e46-9fcc-4e866c0affd3 · inbound

Scalable Mechanistic Neural Networks for Differential Equations and Machine Learning cites this paper.

Scalable Mechanistic Neural Networks for Differential Equations and Machine Learning A Mathematical Guide to Operator Learning

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-23T19:33:22.114348Z

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.

Observation 19297f01-033c-467a-9f60-73f6adfc0129 · inbound

Loss Terms and Operator Forms of Koopman Autoencoders cites this paper.

Loss Terms and Operator Forms of Koopman Autoencoders A Mathematical Guide to Operator Learning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T21:27:26.321616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bfea1ed-eab3-40f4-9816-0db670ab75c0 · inbound

Some Best Practices in Operator Learning cites this paper.

Some Best Practices in Operator Learning A Mathematical Guide to Operator Learning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T19:24:02.816849Z

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Observation d6495d50-c190-45d3-8b01-b71079a1f703 · inbound

Adversarial Autoencoders in Operator Learning cites this paper.

Adversarial Autoencoders in Operator Learning A Mathematical Guide to Operator Learning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T19:07:05.486612Z

Source-reported events for the cited work

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Observation 73709e92-d219-4026-bc44-f60dbd480a00 · inbound

Optimal Convergence Rates for Neural Operators cites this paper.

Optimal Convergence Rates for Neural Operators A Mathematical Guide to Operator Learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T05:34:06.473501Z

Source-reported events for the cited work

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Observation c9f9cf77-03ba-4f2d-8123-b598b64a0695 · inbound

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers cites this paper.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers A Mathematical Guide to Operator Learning

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.601610Z

Source-reported events for the cited work

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Observation 7706313a-ced6-4ed5-9829-d2355a572b88 · inbound

DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction cites this paper.

DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction A Mathematical Guide to Operator Learning

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T05:57:49.312407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16f8a1c7-29e4-4c21-b3f8-9db063ab9c85 · inbound

Optimizing Hard Thresholding for Sparse Model Discovery cites this paper.

Optimizing Hard Thresholding for Sparse Model Discovery A Mathematical Guide to Operator Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T05:38:03.876371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8acbcd3f-1dde-4d6d-840c-cc04984f5785 · inbound

Graph-Based Operator Learning from Limited Data on Irregular Domains cites this paper.

Graph-Based Operator Learning from Limited Data on Irregular Domains A Mathematical Guide to Operator Learning

Reference 31

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Observation 67e222c7-ad40-4e5f-b3df-2ef45cbbdbb6 · inbound

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning cites this paper.

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning A Mathematical Guide to Operator Learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:37.504618Z

Source-reported events for the cited work

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Observation 570f73eb-9b3e-4883-b6c7-bb59819b0fbe · inbound

Matrix-free Neural Preconditioner for the Dirac Operator in Lattice Gauge Theory cites this paper.

Matrix-free Neural Preconditioner for the Dirac Operator in Lattice Gauge Theory A Mathematical Guide to Operator Learning

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-04T17:57:20.511261Z

Source-reported events for the cited work

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Observation 664e1b58-f793-4640-999f-318a216bb0da · inbound

Man, Machine, and Mathematics cites this paper.

Man, Machine, and Mathematics A Mathematical Guide to Operator Learning

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:51:27.747750Z

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.

Observation 3f64bc41-2036-43d1-8677-9811cbdc623f · inbound

Is Zero-Shot Super-Resolution Possible in Operator Learning? cites this paper.

Is Zero-Shot Super-Resolution Possible in Operator Learning? A Mathematical Guide to Operator Learning

Reference 48

Resolution: metadata mismatch; arxiv_id, observed 2026-06-28T19:52:35.016227Z

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.

Observation 9be998cf-ced8-4db8-bae5-bb01a7d87f9c · inbound

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime cites this paper.

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime A Mathematical Guide to Operator Learning

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-02T22:47:25.754328Z

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.

Observation c9459d08-934b-4412-a22d-1320273601f0 · inbound

Patnaik-Pearson intrinsic dimension for internal representations of neural networks cites this paper.

Patnaik-Pearson intrinsic dimension for internal representations of neural networks A Mathematical Guide to Operator Learning

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T02:59:25.645024Z

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.

Observation 81ef8b1d-8d9b-4b24-9f38-bc9bec5ab133 · inbound

Patnaik-Pearson intrinsic dimension for internal representations of neural networks cites this paper.

Patnaik-Pearson intrinsic dimension for internal representations of neural networks A Mathematical Guide to Operator Learning

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T23:49:02.135302Z

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.