Paper Citation Record · LEDGER

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2505.20618.

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

pith.paper-citation-record.v1
2505.20618 v5

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:57:28.732243Z

measured 35 of 35 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy34
unresolved1
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a0b5893-d79b-4e39-9436-20bb37a68e98 · outbound

This paper cites SIAM Review55(2), 205–267 (2013).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM Review55(2), 205–267 (2013)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:33.239474Z

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 aad4bf6d-1f57-4892-bfcc-7ba02700ddf5 · outbound

This paper cites SIAM Journal on Optimization 30(1), 585–603 (2020).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM Journal on Optimization 30(1), 585–603 (2020)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:33.151054Z

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 c8dd1a69-83d0-4bc2-bc83-4d2b8f40897d · outbound

This paper cites Annales de l’Institut Henri Poincar´ e C 30(6), 1175–1190 (2013).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Annales de l’Institut Henri Poincar´ e C 30(6), 1175–1190 (2013)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:33.036420Z

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 1f53acde-d55b-4486-823a-e869aa104ea9 · outbound

This paper cites Annals of Mathematics 60(3), 397–416 (1954).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Annals of Mathematics 60(3), 397–416 (1954)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.916588Z

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 a2a2714b-2dcb-4969-b8e0-4c1b34f74801 · outbound

This paper cites Indiana University Mathematics Journal 36(2), 373–401 (1987).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Indiana University Mathematics Journal 36(2), 373–401 (1987)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.801469Z

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 6eca9c55-dc30-4a45-81c1-524733b6dbbe · outbound

This paper cites SIAM, Philadelphia, PA (2011).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM, Philadelphia, PA (2011)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.717856Z

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 2e9cd3b3-0b18-4090-8716-5fe4f3db23e7 · outbound

This paper cites Annals of Mathematics 113(2), 367–382 (1981).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Annals of Mathematics 113(2), 367–382 (1981)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.599893Z

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 a9cfb94c-a760-456d-9469-6fb10c687404 · outbound

This paper cites SIAM Journal on Numerical Analysis 59(3), 1735–1768 (2021).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM Journal on Numerical Analysis 59(3), 1735–1768 (2021)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.475399Z

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 3a1c44a0-8101-45c8-a2b9-75d7361b8094 · outbound

This paper cites Computers & Mathematics with Applications 114, 47–59 (2022).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Computers & Mathematics with Applications 114, 47–59 (2022)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.370610Z

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 4bfdca5d-cd15-4616-938e-811791fe53c0 · outbound

This paper cites Transactions of the American Mathematical Society 282(2), 487–502 (1984).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Transactions of the American Mathematical Society 282(2), 487–502 (1984)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.253750Z

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 aadb0901-9f9f-4916-8438-d787fd19c3c4 · outbound

This paper cites Transactions of the American Mathematical Society 277(1), 1–42 (1983).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Transactions of the American Mathematical Society 277(1), 1–42 (1983)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:32.116843Z

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 f013ab24-9425-4bb9-8acd-3c86b7216520 · outbound

This paper cites Transactions of the American Mathematical Society 318(2), 643–683 (1990).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Transactions of the American Mathematical Society 318(2), 643–683 (1990)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.991165Z

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 359841a9-d61b-41fe-ab20-e129607376c1 · outbound

This paper cites (eds.) Mean Field Games and Applications: Numerical Aspects, pp.

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps (eds.) Mean Field Games and Applications: Numerical Aspects, pp

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.888603Z

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 d53118e7-4d45-4dec-a372-d67f9fa9d31e · outbound

This paper cites Numerische Mathematik 64, 323–353 (1993).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Numerische Mathematik 64, 323–353 (1993)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.781359Z

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 eee79fbb-6c34-4aaa-a086-4163f629b4c9 · outbound

This paper cites Computers & Mathematics with Applications 156, 74–86 (2024).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Computers & Mathematics with Applications 156, 74–86 (2024)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.674506Z

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 6d5dd6d7-a252-4a9a-835a-96db4864fc4d · outbound

This paper cites Asymptotic Analysis 4(3), 271–283 (1991).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Asymptotic Analysis 4(3), 271–283 (1991)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.577622Z

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 cd91374b-66a8-4f54-b145-79442fb37647 · outbound

This paper cites SIAM, Philadelphia, PA (2013).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM, Philadelphia, PA (2013)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.463289Z

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 f0d7c68b-f582-4efb-8de0-8c77e2dd59fd · outbound

This paper cites SIAM Journal on Numerical Analysis 10(5), 863–875 (1973).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM Journal on Numerical Analysis 10(5), 863–875 (1973)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.324952Z

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 aca06b3d-9ce6-421c-9696-3be2549bceea · outbound

This paper cites Journal of Machine Learning Research 24(89), 1–97 (2023).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Journal of Machine Learning Research 24(89), 1–97 (2023)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.216928Z

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 a50aa91e-e77d-4c55-9733-a1534ce2d79a · outbound

This paper cites Operator Learning: Algorithms and Analysis.

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Operator Learning: Algorithms and Analysis

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:57:27.117508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca3eefd4-50cc-413a-9f15-d3ec4591a16e · outbound

This paper cites Journal of Computational Physics 519, 113426 (2024).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Journal of Computational Physics 519, 113426 (2024)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:31.088802Z

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 b3b515e2-d510-47f6-9732-f13b7175050d · outbound

This paper cites SIAM/ASA Journal on Uncertainty Quantification 8(1), 301–341 (2020).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM/ASA Journal on Uncertainty Quantification 8(1), 301–341 (2020)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.951063Z

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 d60fa7ae-8ea4-47b8-83d4-02f5cd004dd9 · outbound

This paper cites Advances in Neural Information Processing Systems 36, 70581–70611 (2023).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Advances in Neural Information Processing Systems 36, 70581–70611 (2023)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.794318Z

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 172d1fa2-00f1-4f24-b1c5-b213e82ee04e · outbound

This paper cites Transactions of Mathematics and Its Applications 6(1), 001 (2022).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Transactions of Mathematics and Its Applications 6(1), 001 (2022)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.661062Z

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 469fbbe7-d0fa-42a2-9ace-0677e99d9340 · outbound

This paper cites Foundations of Computational Mathematics 10(6), 615–646 (2010).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Foundations of Computational Mathematics 10(6), 615–646 (2010)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.548992Z

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 56473588-121c-4d02-b7ea-0fc53cea6311 · outbound

This paper cites SIAM Journal on Numerical Analysis 61(3), 1513–1545 (2023).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps SIAM Journal on Numerical Analysis 61(3), 1513–1545 (2023)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.452525Z

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 8ba8660a-2daf-4b52-91cb-be0960c11666 · outbound

This paper cites Advances in Computational Mathematics 50(4), 72 (2024).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Advances in Computational Mathematics 50(4), 72 (2024)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.303006Z

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 c85be7ba-e665-4ba1-9872-84f3a0ac83b1 · outbound

This paper cites Acta Numerica 11, 479–517 (2002).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Acta Numerica 11, 479–517 (2002)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.158540Z

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 470a6777-45c7-4a36-b1c9-965ff3411bb8 · outbound

This paper cites Annual Review of Fluid Mechanics 55(1), 129–155 (2023).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Annual Review of Fluid Mechanics 55(1), 129–155 (2023)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:30.032478Z

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 ca262e21-8bf0-406d-a532-da761210c202 · outbound

This paper cites Journal of Computational and Applied Mathematics 225(2), 541–557 (2009).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Journal of Computational and Applied Mathematics 225(2), 541–557 (2009)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:29.943091Z

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 ba323904-cab5-4e79-a735-674d28f805cb · outbound

This paper cites John Wiley & Sons, Hoboken, NJ (2006).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps John Wiley & Sons, Hoboken, NJ (2006)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:29.823982Z

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 cf293f8a-34f0-426f-ae6a-934f309ef522 · outbound

This paper cites Springer, New York, NY (2008).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Springer, New York, NY (2008)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:29.682378Z

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 3ff14a05-e4dc-462d-a6a3-ecd59ce7b174 · outbound

This paper cites ACM Transactions on Mathematical Software 30(2), 196–199 (2004).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps ACM Transactions on Mathematical Software 30(2), 196–199 (2004)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:29.492410Z

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 33a982cc-ca1f-4a02-a33b-f43a1de2fb1a · outbound

This paper cites Journal of Numerical Mathematics 20(3-4), 251–266 (2012).

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Journal of Numerical Mathematics 20(3-4), 251–266 (2012)

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:29.264541Z

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 55fed4ed-fded-4af2-9131-3cd0a574f399 · outbound

This paper cites Journal of Machine Learning Research 22(290), 1–76 (2021) 31.

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps Journal of Machine Learning Research 22(290), 1–76 (2021) 31

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:29.033913Z

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.

Pith citing papers

No inbound Pith citation observations are available.