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Paper Citation Record · LEDGER

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond

As of 18 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2412.20858.

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

pith.paper-citation-record.v1
2412.20858 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:21:28.670430Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:05:28.019921Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T17:05:28.069255Z

Reference resolution

43 of 43 outbound references displayed

  • verified exact5
  • verified fuzzy14
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d40e90c-b3b5-4e26-b393-727983fbf8c0 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 411b03aa-32ec-45eb-b5d6-166b91380821 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2e472996-6109-4719-8b73-f926d44eb0ee · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.592524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b17ea7de-26ed-4924-94ef-94b37810df77 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 4

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 78418efa-af2a-4435-8686-753a586d24b1 · outbound

This paper cites Multiple change point detection in functional data with applications to biomechanical fatigue data.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Multiple change point detection in functional data with applications to biomechanical fatigue data

Reference 5

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7e3b2790-ddf5-40fd-b5b8-1db8a2b84b70 · outbound

This paper cites From dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond From dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3ede0863-b284-4735-8f4d-738a8b873787 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.560539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.485803Z digest=sha256:c4fcd4abe6597f63dc8f6dfc40f14c49aa92942bc2bfcaef9f7185e306a82b81

Observation 7754a52e-823c-47b7-bc02-58c801a9846c · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 8

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1e2a2442-89fb-40f0-904f-533f2ee93f16 · outbound

This paper cites From Sparse to Dense Functional Data: Phase Transitions from a Simultaneous Inference Perspective.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond From Sparse to Dense Functional Data: Phase Transitions from a Simultaneous Inference Perspective

Reference 9

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5aad01f8-f93d-43fa-aef6-5d1c4c73a853 · outbound

This paper cites and Hu, Q.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Hu, Q

Reference 10

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation aa015473-ab8d-47ba-af98-5d186ac17624 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 11

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6fb107bd-8cfc-4d63-b823-cada3113412d · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 54b7e19b-c7d1-41ec-9578-0da08247ac8d · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.497061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.514609Z digest=sha256:0546d08fb92a4ad58aa1ac3fc24e4168c1c10cc20d7eceb6355d63eee6d006a3

Observation 1e808cc3-fa4a-4a85-9be6-bac62cf45431 · outbound

This paper cites and Zhou, Z.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Zhou, Z

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.520206Z digest=sha256:3b8d23a488027e167427e630bd659ebeae30c97ace396b81ca938fcb0ff931ba

Observation 8873100e-1dfd-41e9-945d-2e44bdceb24d · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.465903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.524635Z digest=sha256:afc9d135f2fe074588d6155312119626e80695e9d40eaa13fd2f975f8c8a12ee

Observation bb6d264d-b376-471d-a52a-6f5cfe42454e · outbound

This paper cites and Wu, W.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Wu, W

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:21:28.530270Z digest=sha256:4bb4e5e95ef3d6e550d198d4311393657622ac5836915b70af351d2502beef1f

Observation 2e6b58d2-6df4-4b65-9165-2cc968e839a7 · outbound

This paper cites From sparse to dense functional data in high dimensions: Revisiting phase transitions from a non-asymptotic perspective.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond From sparse to dense functional data in high dimensions: Revisiting phase transitions from a non-asymptotic perspective

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:21:28.853537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8c81ce51-1478-43c5-bcdc-bf3ea6d52f46 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8a38c607-15aa-440c-9700-220fa557a091 · outbound

This paper cites and Kokoszka, P.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Kokoszka, P

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ebc0e3c4-04a9-45eb-ac61-a10010b82914 · outbound

This paper cites and Kokoszka, P.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Kokoszka, P

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 042cc66c-41e0-4084-850b-5a6d6bf466c3 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 21

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.557338Z digest=sha256:3e5d8bf444cb1ffa372f7e87ec9992a1bce209354b286c2e6843d54afcae69ef

Observation f0e1670b-127e-4cda-a636-b81a45fddf03 · outbound

This paper cites and Eubank, R.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Eubank, R

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation da8f71d3-c77f-49ce-8e85-d80dfc459793 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.370582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 63f2b260-347c-43b0-948b-1891ae9a848c · outbound

This paper cites and Li, J.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Li, J

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d370fa61-e990-43ee-a281-45507f2b9204 · outbound

This paper cites H., and Yau, C.-Y.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond H., and Yau, C.-Y

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T23:21:28.577458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2ea7e885-36a9-4b8f-b7ea-3fc39504d6c7 · outbound

This paper cites and Liebl, D.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Liebl, D

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b9893b8b-899a-4b22-8c6b-b7d2f8c4fae8 · outbound

This paper cites Detection and Estimation of Structural Breaks in High-Dimensional Functional Time Series.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Detection and Estimation of Structural Breaks in High-Dimensional Functional Time Series

Reference 27

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1b316331-2860-4994-9e50-a14ef5988482 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.324167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 19e13bd3-ae3f-4bdb-95d2-de1d2a3b0806 · outbound

This paper cites and Hsing, T.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Hsing, T

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:29.309147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0bfb777c-7161-4710-9764-57d9a2f6c9eb · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.293224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4704cb86-90d0-425a-a6d3-cbae993c9262 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.276477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.607464Z digest=sha256:be4a04b4299fc692c605d31726301a6fa521cdad83cd0b9f8fa932f9bd0c4eb9

Observation 185721a9-c20b-4bca-aff6-772c5b105502 · outbound

This paper cites M., Wang, D., Zhao, Z., and Yu, Y.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond M., Wang, D., Zhao, Z., and Yu, Y

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:29.261794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.612941Z digest=sha256:5dcffc0040bf6ab38dfe4a0dc0146230a495aa8da6cc4fef7b576908c42bb957

Observation 52b0b886-a7be-4920-9754-09cf9593ec88 · outbound

This paper cites and Steland, A.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Steland, A

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ef85db5c-3808-4b1b-bd39-078f23531e56 · outbound

This paper cites and Zhang, C.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Zhang, C

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:29.225334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.623449Z digest=sha256:b4f240d6ba42f79d9548250ad0af0e9bfef05405ead73baf0d81899d2da87346

Observation 37d00417-de07-4c03-b85b-1a516fb9b585 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.209220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.628811Z digest=sha256:c55d0a002d1e73d099558e29942c2c5411922bb1defc0c9207349e929731724b

Observation 2eedada5-2b18-4ef9-88c2-c6bdc60727be · outbound

This paper cites and Hosseini-Nasab, S.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Hosseini-Nasab, S

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:29.193126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 371a36d7-f550-4a76-8326-5889241f5a28 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.177848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8674e538-a909-4519-9f08-49ddf9a7075e · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.161377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6c81dd79-b560-4e05-90bc-d477018dd967 · outbound

This paper cites an unresolved cited work.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:21:29.143849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9e28ff78-8506-40be-987a-734274e09ff5 · outbound

This paper cites Change point localisation and inference in fragmented functional data.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond Change point localisation and inference in fragmented functional data

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-10T23:21:28.655629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:21:28.655629Z digest=sha256:252f4d1d6ddf24273b25c4c6143b153d231afe4c53bf141b0deb3c813b055d97

Observation 41afd7ba-3347-43bc-b34d-4e721583387a · outbound

This paper cites and Li, Y.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Li, Y

Reference 41

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 38550f93-5a51-498d-b902-26cb9604474b · outbound

This paper cites and Wang, J.-l.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Wang, J.-l

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:29.112041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d3f93e75-7073-4b43-aef8-48fe7ba5506d · outbound

This paper cites and Dette, H.

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond and Dette, H

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T23:21:28.670430Z digest=sha256:2836083f6ad3f69fcee19919e760ecb6939a59ccb3eb385f899bd8fbeab00b46

Pith citing papers

Observation 86b40bc2-d330-4565-a8f7-7ed2985dde66 · inbound

Unified theory of testing relevant hypotheses in functional time series cites this paper.

Unified theory of testing relevant hypotheses in functional time series From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond

Reference 2021

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b56f3240-d47e-474a-8ee9-9caf528fa4d3 · inbound

Selfnormalization for relevant inference with supremum-type statistics cites this paper.

Selfnormalization for relevant inference with supremum-type statistics From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T01:01:58.087627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:01:58.087627Z digest=sha256:dec2d540b13b06fade3c9d88cffacf585b0047a3e3e01c449ab189b8f9045342