Paper Citation Record · LEDGER

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions

As of 17 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2603.00819.

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

pith.paper-citation-record.v1
2603.00819 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T19:58:43.917066Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T01:21:24.641836Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T01:22:01.440902Z

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy0
unresolved40
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 012e7fbc-83c1-480b-91fe-6f0ff10d4858 · outbound

This paper cites Adcock, S.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Adcock, S

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.248004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 248678b3-fe09-46a4-a8a9-a51f73d9e8cc · outbound

This paper cites Adcock, S.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Adcock, S

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.394993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2de6bcca-c499-450d-a84a-2ecc351fed79 · outbound

This paper cites Adcock, S.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Adcock, S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.526808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9969002-f476-4ccb-80c1-36175692c9b2 · outbound

This paper cites Adcock, N.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Adcock, N

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.686221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5db391ec-6c89-46ed-9a3b-bb78d9d1a9f9 · outbound

This paper cites The Sample Complexity of Learning Lipschitz Operators with respect to Gaussian Measures.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions The Sample Complexity of Learning Lipschitz Operators with respect to Gaussian Measures

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.761327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9c126b3-369d-478c-b10b-ee7bf1c14b6e · outbound

This paper cites Adcock, G.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Adcock, G

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.835107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 561fcadf-7d1b-4bd9-9101-20bae0517512 · outbound

This paper cites Bhattacharya, B.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Bhattacharya, B

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.911023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdabb563-eef9-48f5-a74a-a34ca26ad504 · outbound

This paper cites Boull ´e and A.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Boull ´e and A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:40.999943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fef5a06f-5455-4b66-a599-d302088d24b8 · outbound

This paper cites Chen and H.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Chen and H

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.082665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9596c38c-c3f3-42b4-babf-f88b59c047ac · outbound

This paper cites Cohen and R.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Cohen and R

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.176083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 317ad8b4-f8b2-4ac2-affa-e62ea95c7ee4 · outbound

This paper cites Cohen, C.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Cohen, C

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.318083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97208736-8fa8-433f-b67a-c3218633db5d · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.429097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9cf4a90-c363-480d-80bc-f6d90933247e · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.494415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff898a1c-1531-468a-b660-1b7257eebce7 · outbound

This paper cites Optimal Recovery Meets Minimax Estimation.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Optimal Recovery Meets Minimax Estimation

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.542273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a167f6d6-2fd3-452d-a7e8-d5fe9947e7e9 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.611107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a060983a-a647-46c2-849d-f1fa87b003ce · outbound

This paper cites Theory-to-Practice Gap for Neural Networks and Neural Operators.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Theory-to-Practice Gap for Neural Networks and Neural Operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.665697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9373fc9-567f-4292-8516-b5a1d10f5c68 · outbound

This paper cites G¨ uhring and M.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions G¨ uhring and M

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.741837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b26ced47-ee99-4d60-a61f-b120b2e2e96f · outbound

This paper cites Gy ¨orfi, M.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Gy ¨orfi, M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.813614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3fb0036-dac1-4a95-8825-a06aa3843d2e · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.909378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 170b8d2a-2b23-4a2c-a80f-5ada819f1b8d · outbound

This paper cites Data Complexity Estimates for Operator Learning.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Data Complexity Estimates for Operator Learning

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:41.987775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1871ee2-a3db-459a-b2ac-a38cb37f5cbe · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.063356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6019c191-61c2-4320-a395-d5d2914f3960 · outbound

This paper cites Approximation of Functions: Optimal Sampling and Complexity.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Approximation of Functions: Optimal Sampling and Complexity

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.146647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4afe6caa-a021-4f15-b902-4bd2d2be368c · outbound

This paper cites Lanthaler, S.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Lanthaler, S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.236629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85c4b419-3897-4592-ad71-428c3bf935f7 · outbound

This paper cites Lanthaler and N.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Lanthaler and N

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.330049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35ea5871-080f-4ea1-9a06-22abbc7ddaac · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.438086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c966f4ca-4c5b-46a8-8327-c97918523f76 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.506512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47b3d296-622b-42ee-b07f-79b57ad82a73 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.573670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45866f15-9620-44f7-ba52-c06d5caf6d57 · outbound

This paper cites Marcati, J.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Marcati, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.699437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fce8c70e-899d-43d7-8a06-a2760b22e512 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.769171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63e3c622-8c68-4ebd-be2e-e21bf39c40bc · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.869235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 693960c4-6c39-4c5f-b16e-4c57faa4fcc7 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:42.936566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 042085e8-f727-4747-8760-dfa5c01166c0 · outbound

This paper cites Novak and H.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Novak and H

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.065174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd33e278-9308-4bb0-8477-f39a9e86f24b · outbound

This paper cites Parhi and B.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Parhi and B

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.156308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d42d6a3a-94c4-4133-a94a-2f4fb62fbf64 · outbound

This paper cites Petersen and F.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Petersen and F

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.229153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb283d8c-1fd0-4bce-82fa-8f8a2309a148 · outbound

This paper cites Statistical Learning Theory for Neural Operators.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Statistical Learning Theory for Neural Operators

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.338433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11002a11-755a-44a6-9ddc-e6a84cb81e62 · outbound

This paper cites Schwab and J.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Schwab and J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.477695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bef1f67c-6a24-4ad9-8378-551aea684391 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.656802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5e74932-922c-4653-a9f8-7f4cf36b844d · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.767066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12ca0b09-b89c-40d4-a75f-af46b8e60f56 · outbound

This paper cites an unresolved cited work.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.835436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47c89abb-4162-4726-8f9e-4c9ff7355212 · outbound

This paper cites Yarotsky.

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions Yarotsky

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T19:58:43.917066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b3ab39ea-aab2-4a2f-8cf8-09018907aeab · inbound

One Operator for Many Densities: Amortized Approximation of Conditioning by Neural Operators cites this paper.

One Operator for Many Densities: Amortized Approximation of Conditioning by Neural Operators A short tour of operator learning theory: Convergence rates, statistical limits, and open questions

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-07T01:16:06.812922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd9dae35-94d9-4610-b56b-4d15581485f6 · inbound

One Operator for Many Densities: Amortized Approximation of Conditioning by Neural Operators cites this paper.

One Operator for Many Densities: Amortized Approximation of Conditioning by Neural Operators A short tour of operator learning theory: Convergence rates, statistical limits, and open questions

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-07T01:16:06.812922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.