Paper Citation Record · LEDGER

Split Conformal Prediction in the Function Space with Neural Operators

As of 20 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2509.04623.

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

pith.paper-citation-record.v1
2509.04623 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T06:01:13.045651Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T22:47:44.975057Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T22:47:25.773020Z

Reference resolution

39 of 39 outbound references displayed

verified exact3
verified fuzzy8
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4bf888fa-b6cb-45bb-ac72-4c2f26f2819c · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Split Conformal Prediction in the Function Space with Neural Operators , " * write output.state after.block = add.period write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.891108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffcb2d3e-13c3-49ed-8b66-8c587b960225 · outbound

This paper cites write newline.

Split Conformal Prediction in the Function Space with Neural Operators write newline

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.895631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 175a0aa7-7713-406a-a16c-1c33e8256601 · outbound

This paper cites DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling.

Split Conformal Prediction in the Function Space with Neural Operators DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T06:01:13.278652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8321bdeb-32fc-4739-a8c2-094211bd72d4 · outbound

This paper cites Multi-Scale Conformal Prediction: A Theoretical Framework with Coverage Guarantees.

Split Conformal Prediction in the Function Space with Neural Operators Multi-Scale Conformal Prediction: A Theoretical Framework with Coverage Guarantees

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-05T06:01:13.257989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7654d620-6f20-43be-8e0f-c7c1bbd8637e · outbound

This paper cites G.; and Shields, M.

Split Conformal Prediction in the Function Space with Neural Operators G.; and Shields, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.681984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eba8b93f-9ea7-4e07-8c16-5d25978fcc7b · outbound

This paper cites F.; Cand \`e s, E.

Split Conformal Prediction in the Function Space with Neural Operators F.; Cand \`e s, E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.668608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 854dcf2c-afa2-4a09-bab2-fc00ed499760 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.655365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 64c93177-be67-490f-a13b-a7ae65a7db8b · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.641711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ced4172a-f21e-4e5d-ae06-8da159604532 · outbound

This paper cites J.; and Lindemann, L.

Split Conformal Prediction in the Function Space with Neural Operators J.; and Lindemann, L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.628523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 92820b4f-ffc6-401f-a038-e460fbb93d45 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.614494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 85dd460a-d039-41c6-9600-d3b27271dd58 · outbound

This paper cites Is MC Dropout Bayesian?.

Split Conformal Prediction in the Function Space with Neural Operators Is MC Dropout Bayesian?

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.932384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c1b013b-dcd2-4b03-b7dd-11694d0f2f9f · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.601646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e7c1be8f-07bc-4a8d-b50f-2fabb265d4fb · outbound

This paper cites Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations.

Split Conformal Prediction in the Function Space with Neural Operators Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.940676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e35fcb18-8d79-4c67-b2d7-9ab06b7657f1 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.588629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation baac697d-35fb-49cc-a5e2-0b8225d91e52 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.575606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation af3ca18b-91dd-4fc2-856d-6afd3832a468 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.562175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5d25c1f6-608b-4749-92af-81d89c7b9727 · outbound

This paper cites H.; and Friedman, J.

Split Conformal Prediction in the Function Space with Neural Operators H.; and Friedman, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.549036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f6914230-c24b-4156-98b8-14595574ae3a · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.534871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1839fea5-cd5c-4d45-a3af-0c878b4631b8 · outbound

This paper cites E.; and Zingg, D.

Split Conformal Prediction in the Function Space with Neural Operators E.; and Zingg, D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.519618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3efcd028-8bb8-41f7-96b0-fb846c949f57 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.506134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 069d44d6-d666-4594-9a68-81fe70959770 · outbound

This paper cites Non-Asymptotic Stability and Consistency Guarantees for Physics-Informed Neural Networks via Coercive Operator Analysis.

Split Conformal Prediction in the Function Space with Neural Operators Non-Asymptotic Stability and Consistency Guarantees for Physics-Informed Neural Networks via Coercive Operator Analysis

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-05T06:01:13.211047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 96947b07-3b4e-4497-a5fe-e544f670bc97 · outbound

This paper cites B.; Ince, T.; Iosifidis, A.; and Gabbouj, M.

Split Conformal Prediction in the Function Space with Neural Operators B.; Ince, T.; Iosifidis, A.; and Gabbouj, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.492056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5d5468e4-2992-4abd-af2b-562694a18cc2 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.478375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 225b5fc8-9bc0-4095-826a-40330818d36a · outbound

This paper cites M.; and Trautner, M.

Split Conformal Prediction in the Function Space with Neural Operators M.; and Trautner, M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.983812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46780b09-4caa-4c32-a749-cd7b383cbcfb · outbound

This paper cites A.; Furuya, T.; Faucher, F.; Kratsios, A.; Tricoche, X.; and de Hoop, M.

Split Conformal Prediction in the Function Space with Neural Operators A.; Furuya, T.; Faucher, F.; Kratsios, A.; Tricoche, X.; and de Hoop, M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.465058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e8fd4bec-2968-4cc9-b3b1-be70c3831128 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.991774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da4abc11-e780-4cbe-876e-262debb6ad0b · outbound

This paper cites B.; Azizzadenesheli, K.; liu, B.; Bhattacharya, K.; Stuart, A.; and Anandkumar, A.

Split Conformal Prediction in the Function Space with Neural Operators B.; Azizzadenesheli, K.; liu, B.; Bhattacharya, K.; Stuart, A.; and Anandkumar, A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T06:01:12.995653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c727b58-2dad-43c2-b484-e0e7a505f187 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.442932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 70c1f572-8238-466c-a764-c289da09189f · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.429857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7bd965ee-5446-4ce2-b74f-21b24162904a · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.417171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 36f54cd7-6c90-4893-8110-2176db497ee8 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.403806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4532c926-e3d9-4de1-8e38-658102f55b58 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.390440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 853dfbf0-5b39-4435-b6e6-aa9d3bcd8265 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.376756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 42199339-f40e-4e20-89f3-4c71ea27b1d9 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.363165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 92532638-7521-4a61-8b35-9b2a0348f239 · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.348975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eef1ba10-e1a9-4b05-8b24-8011fcdfcb1f · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.335293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 666e8996-3dd9-406b-8562-3e84985c8ebd · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.320246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e0ab366f-da18-4354-9547-dc6086d91b9b · outbound

This paper cites N.; Dwelle, M.

Split Conformal Prediction in the Function Space with Neural Operators N.; Dwelle, M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T06:01:13.306658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3b5797a5-9e23-4af1-bccf-a25d1783544c · outbound

This paper cites an unresolved cited work.

Split Conformal Prediction in the Function Space with Neural Operators Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-05T06:01:13.292656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation d442aca4-4714-4c31-a2ce-893dedd40628 · inbound

Geometry-Aware Uncertainty Quantification via Conformal Prediction on Manifolds cites this paper.

Geometry-Aware Uncertainty Quantification via Conformal Prediction on Manifolds Split Conformal Prediction in the Function Space with Neural Operators

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-02T22:47:44.975057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b31dc2c9-0490-4ac4-89c6-0b8853a2f252 · 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 Split Conformal Prediction in the Function Space with Neural Operators

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-02T22:47:25.774478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.