Paper Citation Record · LEDGER

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations

As of 14 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2502.03670.

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

pith.paper-citation-record.v1
2502.03670 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:13:12.043023Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

34 of 34 outbound references displayed

verified exact2
verified fuzzy14
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 363110ee-09dc-4202-bd7c-5008ad52f486 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.802572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5637a4a1-c4da-4a5b-a8e6-0e2d0a11abfc · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.791931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1efeebc7-de1a-4068-b89b-a15375101bb4 · outbound

This paper cites Scholz, F.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Scholz, F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.779803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9e65e2d7-4a78-43f1-9ea2-141f3669f7e8 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.768436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9758534f-7a19-466e-b34d-68ad2ab4726b · outbound

This paper cites Black, M.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Black, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.756152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9ef16541-e382-42b7-bf15-b2292fd5b27d · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.744091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 31166d66-e711-40c8-8f74-006d42161d0a · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.731604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 80af3be3-5371-49c2-ad59-8d16d83b0386 · outbound

This paper cites Courant, D.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Courant, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.718975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b2243af5-d475-46f7-b58d-900266c574e2 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.704963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 59be82b8-d806-41b1-af02-1b02f61141d0 · outbound

This paper cites Risken, The Fokker-Planck Equation, Springer, 1996.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Risken, The Fokker-Planck Equation, Springer, 1996

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.692856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 77f7a095-9ca8-4b1d-950c-b618e8be1860 · outbound

This paper cites Cercignani, C.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Cercignani, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.679313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation be0ff995-5f21-4178-91e7-1958dc42cf01 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.667253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e76d8ee6-17bd-4824-b57f-862c7859fc50 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.654668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation adff2cfa-a6e6-4334-8a2b-f160a7bac2f7 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.642427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cb755b9c-a303-4529-bc83-abfc9b187cfe · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.630100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 58978fc2-b625-4bb1-af23-1664b84161b4 · outbound

This paper cites Da Prato, J.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Da Prato, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.616974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4263cd32-be80-467c-bdbe-89b9bdeb0180 · outbound

This paper cites Bertini, N.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Bertini, N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.603058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a2279687-49df-45d8-8aea-f022fdef25dd · outbound

This paper cites von Renesse, M.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations von Renesse, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.590055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b2986c53-e649-492c-9822-8163f9c8c5bd · outbound

This paper cites Keese, A review of recent developments in the numerical solution of stochastic partial differential equations (stochastic finite elements), Univ.-Bibl., 2003.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Keese, A review of recent developments in the numerical solution of stochastic partial differential equations (stochastic finite elements), Univ.-Bibl., 2003

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.576691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation af08dc11-c5b2-4671-b76c-97f36af67ede · outbound

This paper cites Marshall, Monte carlo methods for the solution of nonlinear partial differential equations, Computer physics communications 56 (1) (1989) 51–61.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Marshall, Monte carlo methods for the solution of nonlinear partial differential equations, Computer physics communications 56 (1) (1989) 51–61

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.563419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3f1f679-32d2-4850-97c7-4be1afda7896 · outbound

This paper cites Allen, S.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Allen, S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.550946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 82785d46-144d-4ee8-a3cc-e13ea8a20683 · outbound

This paper cites Raissi, P.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Raissi, P

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T04:13:11.930597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b162b2d-7c8e-4d0f-bf37-005540da8d65 · outbound

This paper cites Sirignano, K.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Sirignano, K

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-09T04:13:11.934457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7a95c97-98fe-4623-812b-83acdcbfa6ad · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 24

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-09T04:13:12.457748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b118554b-7d34-45a4-ba7a-bcc18e2f3572 · outbound

This paper cites Salvi, M.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Salvi, M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.530944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cdd07a80-64cb-470d-a989-c33966b53b31 · outbound

This paper cites Karumuri, R.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Karumuri, R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.518302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation abea10e7-9e13-44d3-8652-dab12f763b8b · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-09T04:13:11.950330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dfd4812-c9af-471d-8894-aaa1f0a65231 · outbound

This paper cites Zhang, L.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Zhang, L

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-09T04:13:11.953595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8a8226a-afdb-463c-9148-f87394d4bb17 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-09T04:13:11.957660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79d33db2-28ae-4a4f-8fbd-0ac72ec2181a · outbound

This paper cites Enforcing exact boundary and initial conditions in the deep mixed residual method.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Enforcing exact boundary and initial conditions in the deep mixed residual method

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-09T04:13:12.105973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2b04da4a-350c-47e9-8217-51a4907b4f93 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-09T04:13:11.989170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 606f98ef-d053-488f-847c-bd9139c607be · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.497808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5e5484d4-a9d8-48c1-a7e6-a505cccaf9f4 · outbound

This paper cites an unresolved cited work.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:13:12.485449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 871cf592-670c-4285-a49c-87442fe61eaf · outbound

This paper cites Yuan, Y.-Q.

Chaos into Order: Neural Framework for Expected Value Estimation of Stochastic Partial Differential Equations Yuan, Y.-Q

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:13:12.471345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.