Paper Citation Record · LEDGER

Sampling Observability for Heat Equations with Memory

As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2411.14382.

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

pith.paper-citation-record.v1
2411.14382 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:21:04.213560Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy17
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a258c45-9825-4528-8ac8-9fdfe1f33585 · outbound

This paper cites Apraiz, L.

Sampling Observability for Heat Equations with Memory Apraiz, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.779018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 318e0ac1-25b8-4549-802e-451f381077f2 · outbound

This paper cites Bardos, G.

Sampling Observability for Heat Equations with Memory Bardos, G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.755861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 89ed3cd0-a4b6-4a72-bc1a-c4de35060493 · outbound

This paper cites Chaves-Silva, X.

Sampling Observability for Heat Equations with Memory Chaves-Silva, X

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.729086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c9838a31-7b7f-42ef-a290-a7ad7561d732 · outbound

This paper cites Fern´ andez-Cara and E.

Sampling Observability for Heat Equations with Memory Fern´ andez-Cara and E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.704033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52213eae-eb54-4ce7-ba4b-1de0f16051fb · outbound

This paper cites Fursikov and O.

Sampling Observability for Heat Equations with Memory Fursikov and O

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.679472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b659fcb-0ec1-422a-a956-2c7251b8e3ee · outbound

This paper cites Guerrero and O.

Sampling Observability for Heat Equations with Memory Guerrero and O

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.658156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 10a4af90-501c-407f-8497-bb431d2a889d · outbound

This paper cites Halanay and L.

Sampling Observability for Heat Equations with Memory Halanay and L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.637876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 46706509-34ac-47ac-b05a-911c0ef3e626 · outbound

This paper cites Huang and A.

Sampling Observability for Heat Equations with Memory Huang and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.607100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7d4b024f-77ef-4ea9-9ca1-ff13ea7bd789 · outbound

This paper cites Lax, Functional Analysis, John Wiley & Sons, 2002.

Sampling Observability for Heat Equations with Memory Lax, Functional Analysis, John Wiley & Sons, 2002

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.575148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a42bdc1d-d024-42d9-ab3a-f4bf6cafe892 · outbound

This paper cites Lin, A uniqueness theorem for parabolic equations , Comm.

Sampling Observability for Heat Equations with Memory Lin, A uniqueness theorem for parabolic equations , Comm

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.541553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dc9f1f3f-6ea3-403a-af40-d2315cb4d4c0 · outbound

This paper cites Tucsnak and G.

Sampling Observability for Heat Equations with Memory Tucsnak and G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.518091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f565123b-424a-4925-b4a6-fc4d845876ca · outbound

This paper cites Pazy, Semigroups of Linear Operators and Applications to Partial Diﬀerential Equations, Springer-Verlag, 1983.

Sampling Observability for Heat Equations with Memory Pazy, Semigroups of Linear Operators and Applications to Partial Diﬀerential Equations, Springer-Verlag, 1983

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.487674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c4fe672-2b84-41a0-b851-e8e2131bf086 · outbound

This paper cites Phung and G.

Sampling Observability for Heat Equations with Memory Phung and G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.461639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40880ee9-38e7-4ef8-970c-b058a95f0d55 · outbound

This paper cites Qin and G.

Sampling Observability for Heat Equations with Memory Qin and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.438347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6bb32598-fa69-4074-bb16-8242e7f4b623 · outbound

This paper cites an unresolved cited work.

Sampling Observability for Heat Equations with Memory Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:21:04.413240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7923db70-679c-4bcf-ab26-13481d20e681 · outbound

This paper cites an unresolved cited work.

Sampling Observability for Heat Equations with Memory Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:21:04.380680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e05f2b5e-5dd2-4d4a-90d7-db0627c33c0f · outbound

This paper cites an unresolved cited work.

Sampling Observability for Heat Equations with Memory Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:21:04.350257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18cbc49b-3583-4d24-b6c3-20d537e2891d · outbound

This paper cites an unresolved cited work.

Sampling Observability for Heat Equations with Memory Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:21:04.325641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6ac6dc15-63f6-4190-aa9e-b4e149499ea4 · outbound

This paper cites Zhang, Explicit observability inequalities for the wave equation with lower order terms by means of Carleman inequalities , SIAM J.

Sampling Observability for Heat Equations with Memory Zhang, Explicit observability inequalities for the wave equation with lower order terms by means of Carleman inequalities , SIAM J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.302764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1f59ec3b-a349-4769-bf51-776b8f3d912e · outbound

This paper cites Zhang, Unique continuation estimates for the Kolmogorov equation in the whole space, C.

Sampling Observability for Heat Equations with Memory Zhang, Unique continuation estimates for the Kolmogorov equation in the whole space, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.279759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3713d6f3-4bce-47c2-8dc3-bf5d47d51416 · outbound

This paper cites Zhou and H.

Sampling Observability for Heat Equations with Memory Zhou and H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:21:04.257851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.