Paper Citation Record · LEDGER

A Deep Risk Estimator for Known Operator Learning

As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2605.08517.

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

pith.paper-citation-record.v1
2605.08517 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T01:57:26.085606Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:29:52.358771Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact6
verified fuzzy3
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb8fe6e8-f267-45b4-8706-5e20ff082ee3 · outbound

This paper cites Andrew R.

A Deep Risk Estimator for Known Operator Learning Andrew R

Reference 1

Resolution: verified exact; doi, observed 2026-05-12T02:01:14.601284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fedd691e-6f91-47bf-91ba-e2dbc9c1b622 · outbound

This paper cites Avinash C.

A Deep Risk Estimator for Known Operator Learning Avinash C

Reference 2

Resolution: verified exact; doi, observed 2026-05-12T02:01:14.597354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e12861dc-4ec7-4622-ad37-1f5636f36398 · outbound

This paper cites Physics-informed machine learning.

A Deep Risk Estimator for Known Operator Learning Physics-informed machine learning

Reference 3

Resolution: metadata mismatch; doi, observed 2026-05-12T02:01:14.603831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 190470ff-5676-4673-b8aa-a612cddb6a5e · outbound

This paper cites Andreas Maier, Harald Köstler, Marco Heisig, Patrick Krauss, and Seung Hee Yang.

A Deep Risk Estimator for Known Operator Learning Andreas Maier, Harald Köstler, Marco Heisig, Patrick Krauss, and Seung Hee Yang

Reference 4

Resolution: verified exact; doi, observed 2026-05-12T02:01:14.613095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1004acc-ac69-4351-9334-8732f721a625 · outbound

This paper cites Roberto Molinaro, Yunan Yang, Björn Engquist, and Siddhartha Mishra.

A Deep Risk Estimator for Known Operator Learning Roberto Molinaro, Yunan Yang, Björn Engquist, and Siddhartha Mishra

Reference 5

Resolution: verified exact; doi, observed 2026-05-12T02:01:14.599421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4615c56f-f7bd-4f13-a7b1-13005ec42015 · outbound

This paper cites Raissi, P.

A Deep Risk Estimator for Known Operator Learning Raissi, P

Reference 6

Resolution: metadata mismatch; doi, observed 2026-05-12T02:01:14.605859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f4fda4e4-07c8-4ab6-bc22-7cfb1e7e54d8 · outbound

This paper cites The Annals of Statistics 48(4):1875--1897, ://dx.doi.org/10.1214/19-AOS1875.

A Deep Risk Estimator for Known Operator Learning The Annals of Statistics 48(4):1875--1897, ://dx.doi.org/10.1214/19-AOS1875

Reference 7

Resolution: metadata mismatch; doi, observed 2026-05-12T02:01:14.610875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 460d09db-67f5-4cfc-89da-66a30f562379 · outbound

This paper cites Tobias Würfl, Florin C.

A Deep Risk Estimator for Known Operator Learning Tobias Würfl, Florin C

Reference 8

Resolution: verified exact; doi, observed 2026-05-12T02:01:14.608303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86b68054-2123-4f43-aeca-4efe65201ad2 · outbound

This paper cites 10 A Proof of Theorem 1 We prove Eq.

A Deep Risk Estimator for Known Operator Learning 10 A Proof of Theorem 1 We prove Eq

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-12T02:01:14.595205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fb7ea386-5421-4d5d-9f2a-2ec520ebea69 · outbound

This paper cites (1) satisfies ℓfl ≤ lY j=1 ℓj.(20) Proof.Forx, ˜x∈ D 0, ∥fl(x)−f l(˜x)∥2 =∥u l(fl−1(x))−u l(fl−1(˜x))∥2 ≤ℓ l ∥fl−1(x)−f l−1(˜x)∥2 ≤ℓ l ·ℓ l−1 · ∥fl−2(x)−f l−2(˜x)∥2.

A Deep Risk Estimator for Known Operator Learning (1) satisfies ℓfl ≤ lY j=1 ℓj.(20) Proof.Forx, ˜x∈ D 0, ∥fl(x)−f l(˜x)∥2 =∥u l(fl−1(x))−u l(fl−1(˜x))∥2 ≤ℓ l ∥fl−1(x)−f l−1(˜x)∥2 ≤ℓ l ·ℓ l−1 · ∥fl−2(x)−f l−2(˜x)∥2

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:36:58.422279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 297ca04a-2f0c-4cc2-aedb-ec9ed012d28b · outbound

This paper cites The approximation-budget factor in Eq.

A Deep Risk Estimator for Known Operator Learning The approximation-budget factor in Eq

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:36:58.426880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 865506f1-4b90-4e58-83c1-13a9ebbaf26f · outbound

This paper cites The operator-aware sweeps at H∈ {128,256} ran on a single NVIDIA Tesla V100 (16 GiB) per job.

A Deep Risk Estimator for Known Operator Learning The operator-aware sweeps at H∈ {128,256} ran on a single NVIDIA Tesla V100 (16 GiB) per job

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:36:58.432400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 3f4625c5-19db-45d5-99bd-1d9c6854489c · inbound

Agentic Autoresearch for CT Reconstruction cites this paper.

Agentic Autoresearch for CT Reconstruction A Deep Risk Estimator for Known Operator Learning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T04:29:52.358771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.