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Paper Citation Record · LEDGER

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2501.18201.

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

pith.paper-citation-record.v1
2501.18201 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:22:47.254325Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

22 of 22 outbound references displayed

  • verified exact3
  • verified fuzzy6
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5416c644-8b27-454f-ad43-22ab713da7cf · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.590212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.171859Z digest=sha256:d6c4ddbfed475e44ddd518defae2c52a5dbec3d593072c67d43e7f19305a4285

Observation e4872220-4713-4e1d-a01c-3bc32a8c0bbc · outbound

This paper cites PDE Control Gym: A Benchmark for Data-Driven Boundary Control of Partial Differential Equations.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay PDE Control Gym: A Benchmark for Data-Driven Boundary Control of Partial Differential Equations

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:22:47.415980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.176350Z digest=sha256:55c84128bbd447b1bf7d835337a5139ab6f89204ab75df3f7bad9d7dac7860d8

Observation 563a3217-fca2-4a07-b8f1-a95b567ddd6b · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.580709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.181315Z digest=sha256:fdc02923855cf03c7e305d6eaea3ab21f7a3471a292f2cb71b3d74829c5fe880

Observation aba7d819-cab2-420c-929f-4aef95b6357b · outbound

This paper cites and Ichise, R.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay and Ichise, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:47.571250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.184991Z digest=sha256:84e147f2493b874c6d951aec78d721011bafc5d9d75095a8ce69c441b18f9695

Observation b928219a-5039-4ded-aa7f-365cb9fbab0f · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.561552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.189482Z digest=sha256:28ea30f7111e0a7bc561cd7fbcc8c3b41c2b8d8484f63dcd302938545770ee43

Observation 8d173b78-cfaa-4817-b68a-2d0bde509ad8 · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.551407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.193704Z digest=sha256:2c7946eaddffc311743b85c4f5db42a611bc8aa1a3a80672d8bd35d8e059bd96

Observation e79bb134-ff98-4bf6-91ad-1b9cb2546267 · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.541568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.197865Z digest=sha256:6bd05cbcfc749d7ab74781e16f14ff61c35b3292d6081c367aae91d235d725b6

Observation 1cd072fc-e766-46dc-8c69-f1259599ace8 · outbound

This paper cites and Smyshlyaev, A.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay and Smyshlyaev, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:47.531202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.201655Z digest=sha256:6c5b10fa8eb3bbbeddf29c93cecc0f6e054577cdbea026979c82affbc9205f8a

Observation d96eacda-ad0d-4c9b-b9af-14bb005072d5 · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.521586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.205381Z digest=sha256:01701d32b9a5c1b6c9a05cce1563c66bb6ed23e4165da3be02be3130636e1d21

Observation 9ef9f7a6-cfd9-498f-abc5-a80cb79a1ade · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.511834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.209183Z digest=sha256:0dd8006032531373d56cbc8e250577feda4e0143fbe701ecc6c6d2a292bcb790

Observation fd2119de-913b-43e2-8102-de5008d8ad16 · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.501888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.212830Z digest=sha256:619ea6ff0c442db27a033bad99606ada7308cfb852bf480f4a1cd0936f1776d6

Observation 17c29638-3ba4-46e8-8410-65102909c41f · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.491650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.216685Z digest=sha256:953c63c8b5ccb7ca53f96270c7eaa5370e89f9feef1b23b44c503dadf96c2db8

Observation 48603113-daba-492d-bdae-c290345c0d2e · outbound

This paper cites (2024 a ).

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay (2024 a )

Reference 13

Resolution
verified exact
raw_fallback, observed 2026-08-10T00:22:47.399867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.220244Z digest=sha256:bc3375b85d656550878a9551ac78785a430d8cd3256e1c0927691ffc23dc7f43

Observation b0784433-6c5b-497b-8a59-f5ca5758d71e · outbound

This paper cites (2024 b ).

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay (2024 b )

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:47.480772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.223752Z digest=sha256:1cd8e318b5b6f94f8cfd046648b8bd6db3f00350aa4e860c4ab90634475e4bdd

Observation 0b636be0-c119-4385-84d8-a625f077309e · outbound

This paper cites Stochastic Reinforcement Learning with Stability Guarantees for Control of Unknown Nonlinear Systems.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Stochastic Reinforcement Learning with Stability Guarantees for Control of Unknown Nonlinear Systems

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:22:47.299682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.227278Z digest=sha256:701d3dae2a8230ea351a8f7477c3d21839a834782a232abc10fe79e356f525b9

Observation 14e59d1a-ac0e-4cef-938b-37812ca9a8b0 · outbound

This paper cites Proximal Policy Optimization Algorithms.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Proximal Policy Optimization Algorithms

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T00:22:47.231177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T00:22:47.231177Z digest=sha256:32591b666a2845dbbc1ec29f6b472bfe1b466f764b2531fcdb387c2d07aa3f37

Observation e7ee9c09-c729-467a-ae3a-1d76dd1e48da · outbound

This paper cites an unresolved cited work.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:47.470574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.235072Z digest=sha256:87da7dc6257167091b0df8fc85a07e1a01d62c2b00243b4a34832878313db457

Observation e2138d7b-3778-4a5d-bf3d-cca14645a0c5 · outbound

This paper cites and Zhao, X.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay and Zhao, X

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:47.460156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.238434Z digest=sha256:8aab093daed4af0d99039c0a542d13d3ae9d1503c05e78c6c7df36fa475bb656

Observation 434f9933-b592-4076-bab6-66c2f43693a6 · outbound

This paper cites and Qi, J.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay and Qi, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:47.449451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.242010Z digest=sha256:e6ec11cb666a6e8cdb6651192d4ba2b85311e3df2ad78fd9c4f71e86e85b6c17

Observation 54d6619d-3061-4380-8b11-dabe95215618 · outbound

This paper cites C ompensation of spatially-varying state delay for a first-order hyperbolic PIDE using boundary control.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay C ompensation of spatially-varying state delay for a first-order hyperbolic PIDE using boundary control

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:47.439028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T00:22:47.245538Z digest=sha256:735db487a53bda1cd87a4b928846200e4c02791112539eed0f61e780d9120cc4

Observation 3bbe82f2-d711-41aa-817d-419d1bf36573 · outbound

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

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay , " * write output.state after.block = add.period write newline

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T00:22:47.250269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T00:22:47.250269Z digest=sha256:34b844ab8fd1409c8bf6921adcc0c9ca97c26409c88bdd95a86224e04b7af4dc

Observation c2adfb69-32cb-4aa9-b3a0-1460947c4cd8 · outbound

This paper cites write newline.

Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay write newline

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-10T00:22:47.254325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T00:22:47.254325Z digest=sha256:b93bd78431421a679aeaf9feefa5e1f9fe29726b394f7149d2534fa0072a4137

Pith citing papers

No inbound Pith citation observations are available.