Paper Citation Record · LEDGER

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.27781.

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

pith.paper-citation-record.v1
2607.27781 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:38:32.434233Z

measured 30 of 30 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

30 of 30 outbound references displayed

verified exact2
verified fuzzy7
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b0ec211-5a32-472e-a055-dc6062283e3a · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.468930Z

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.

Observation eed23575-b55c-4e50-b9cb-f9ce51c9aba8 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.457666Z

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.

Observation 0173be3f-2537-4c98-ac59-45b2cb0e6465 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T15:38:32.200827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a49e26-c41a-4e3d-95f9-3b8db3ff9aa5 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.445695Z

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.

Observation 77793d2e-bad8-4354-afb4-6d9a345df7dd · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.432671Z

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.

Observation 1e7b63c4-dbe3-4610-bfe6-53b960397e09 · outbound

This paper cites Functional analysis and partial differential equations in spectral Barron spaces.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Functional analysis and partial differential equations in spectral Barron spaces

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T15:38:32.316276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fc53d35-554e-4985-8aa9-02b6018f4c55 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.417987Z

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.

Observation d83642d5-4e10-4ecd-a982-dea3ccb6a59e · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.402709Z

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.

Observation 3376a00a-6848-437d-9739-8b6911f5cfa7 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.330403Z

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.

Observation 23ed93ec-7de4-42b9-9e9a-cfe450215fe5 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.254696Z

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.

Observation ee176aa5-c13d-43c7-95e8-f476d0cec003 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.185144Z

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.

Observation 160ac1d8-36c2-461b-b74f-d46d2f65a4f7 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.170286Z

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.

Observation ea44f14c-296f-49e5-9e9f-3e360b5788ae · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.155219Z

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.

Observation 0a5c255d-c919-4c5b-8977-647fc7187cf6 · outbound

This paper cites Feng and J.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Feng and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:33.135270Z

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.

Observation 2014e397-bfbc-4f35-a093-1e7e325a86ca · outbound

This paper cites Hornik, M.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Hornik, M

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T15:38:32.349449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86dcd912-91ab-43a0-8f32-4a75147fb0ea · outbound

This paper cites Hornung, A.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Hornung, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:33.111987Z

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.

Observation 93ae8276-da18-4e85-890c-4a3a26a8f32c · outbound

This paper cites Hutzenthaler, A.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Hutzenthaler, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:33.098052Z

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.

Observation edff41d0-63bc-4fac-8650-4342b93bfa65 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:33.085121Z

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.

Observation 86592773-a59f-490b-8038-08b14208833a · outbound

This paper cites Leshno, V.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Leshno, V

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:33.071210Z

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.

Observation b0e1294b-9595-4443-9c65-2dae3ccdb7fb · outbound

This paper cites Liao and P.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Liao and P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:32.968589Z

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.

Observation c0a85283-db3e-46ab-a328-ccd294b8c271 · outbound

This paper cites Lu and X.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Lu and X

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-15T15:38:32.749201Z

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.

Observation 04f77c82-0fc2-4315-8be9-dbfe5da7ccee · outbound

This paper cites Marwah, Z.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Marwah, Z

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:32.918465Z

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.

Observation a126b347-d003-4a38-b557-144eda4f0841 · outbound

This paper cites Meng and P.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Meng and P

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:38:32.899846Z

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.

Observation 711dcf4d-dd74-4ecf-935f-033a92774ee0 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:32.887948Z

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.

Observation 05ee0372-b1a8-49fe-aa86-fa10b5dce527 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:32.871424Z

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.

Observation 3ad9f04c-3275-42e0-b9af-2e1a4de1db2c · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 26

Resolution: verified exact; raw_fallback, observed 2026-08-15T15:38:32.620769Z

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.

Observation 29da3518-dde8-4a43-9674-703849d3ff74 · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:32.858990Z

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.

Observation a3e8f872-bbcf-4446-a6f8-7a9cdf408f4d · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:32.847406Z

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.

Observation ce3f7916-0e9e-4058-97df-cbb93ba919d2 · outbound

This paper cites Yarotsky.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Yarotsky

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T15:38:32.398628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7adbcc63-e396-4dfa-8681-daa285a380aa · outbound

This paper cites an unresolved cited work.

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:38:32.828044Z

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.

Pith citing papers

No inbound Pith citation observations are available.