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Paper Citation Record · LEDGER

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation

As of 15 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.04644.

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

pith.paper-citation-record.v1
2608.04644 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:04:11.823076Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

32 of 32 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3ae0120e-f107-4ca8-b0b3-c7ab74689e98 · outbound

This paper cites Balan and C.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Balan and C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:18.921608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 068c22bc-0357-4f07-a5e4-c0273f53def6 · outbound

This paper cites Carfagnini and A.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Carfagnini and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:18.704907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 114ac957-852e-4bfb-a1cf-7c43f2bc0548 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:18.495160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 64d89c48-6024-472f-bc4f-905fc3b283bc · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:18.280576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:08.249518Z digest=sha256:20d71ce95e5d5e4321e039c638e93589ea4cad03065d28a37c3915e7bdabed21

Observation c6149108-e7a3-49b7-aeec-9347d1a58c03 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:18.038008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:08.368270Z digest=sha256:4f00caf573a3db53d300eae7b589337f634d326195013d59625eeee312ec8057

Observation 4e09bd2e-ea48-4363-a2ad-61dc9bb748d8 · outbound

This paper cites Chen and K.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Chen and K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:17.728037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:08.482678Z digest=sha256:890b82dcd7f8cb47592d0fc3ba196a5408e4f209597baaadd186edf20613227d

Observation 742e5c1c-75b0-4946-b59c-0f7b00b6ff7f · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-06T20:04:12.424584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:08.618000Z digest=sha256:4e63850d1f7e01bd866f4f35e018982fc777cca970eb93d2c0bcb2d028de6398

Observation 23cbd22a-44c8-4cb4-90f6-434cdc0e25a6 · outbound

This paper cites Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:04:12.108229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:08.707138Z digest=sha256:3070f46d29231e1a604174d93af37836a80db27bd20f5ad2cc1a1d1b1275ca13

Observation 908a4cd1-219f-41e6-89d5-69d3c6afbd92 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:17.402905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:08.885317Z digest=sha256:69799898e7aac790f468f4eda9c4346b769122cee4ae41c98e1004b62fc12ebb

Observation 0d7a4ef1-631f-4c59-a95b-cab67a2ede4b · outbound

This paper cites Das, Temporal increments of the KPZ equation with general initial data.Electron.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Das, Temporal increments of the KPZ equation with general initial data.Electron

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:17.185516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.039973Z digest=sha256:3f3ce1f95d9dcad6f7a4a57728a41fbab7a6a06cffe15f24dc771e6cd1d22a20

Observation 93f2f8ba-656f-49dc-aaab-a9d6fb48e818 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:16.918715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.160105Z digest=sha256:398289e2f2c7b973e6c37978b85e861b04bc12a2ead70c99cc6441a886b506e6

Observation 111133b5-f63c-4624-9f4f-8b5d50d666e9 · outbound

This paper cites Foondun, D.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Foondun, D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:16.638259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.270933Z digest=sha256:51ddccd7ee4aadf01f23b42c894fa5de7e9e77cba5cf49d0bc355163a1807084

Observation 74a58994-4da1-42e7-9d2a-de9b959a7192 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:16.382055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.426174Z digest=sha256:27f687e7171bc135c2d8dd322d14a31d6c1a7b772de25c63d95fdb1425bac1f1

Observation 240c596f-48e5-4e08-93f6-118c0971836a · outbound

This paper cites Hairer and ´E.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Hairer and ´E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:16.189876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.552484Z digest=sha256:e68beb8fa6c8870ffcdddd4bb61049a1a14340398983ff2d84433a36527019b0

Observation 9ed72d03-4141-42db-9df0-0f7c5ac72245 · outbound

This paper cites Herrell, R.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Herrell, R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.953842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.636586Z digest=sha256:8d8cb4d3d3452f284ecd457bc0ec84c810f2fbab0bf9a95379386580fec796ce

Observation 83b939d3-f1b8-4359-ad63-a38e928543c7 · outbound

This paper cites Huang and D.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Huang and D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.647053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6154a75f-1086-4538-a904-422645b7bb5d · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:15.359129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.854032Z digest=sha256:24845ae280098efef9c19144fe12d5090387ad4a03783053e12635083ecf9031

Observation 47b01b6c-f1d1-4ff4-b7b1-6bee726bc3a8 · outbound

This paper cites Khoshnevisan,Analysis of Stochastic Partial Differential Equations, CBMS Regional Con- ference Series in Mathematics, Vol.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Khoshnevisan,Analysis of Stochastic Partial Differential Equations, CBMS Regional Con- ference Series in Mathematics, Vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.061144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:09.996021Z digest=sha256:f001f2ecd322028d8f62ed7b8899b234a67bbb0860fa4dc4d88f561ef7af6da6

Observation 6901d299-12cd-42d0-95ba-faf60d565a19 · outbound

This paper cites Khoshnevisan, K.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Khoshnevisan, K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:14.814140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:10.131627Z digest=sha256:56046508ab3a7f9a2b81f172fbb8c5e269116f3f6e9ee2831160ee8a8558c6ea

Observation e5187f94-a58c-416a-8441-9614d1b45ca7 · outbound

This paper cites Weak existence of a solution to a differential equation driven by a very rough fBm.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Weak existence of a solution to a differential equation driven by a very rough fBm

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:10.289983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:10.289983Z digest=sha256:34dddf7ec48f19b73bd0e1e1ab8baad67db918a37d791c523428d29819c41b4b

Observation 713ec1ab-9da0-432b-ad8a-f6db74696e94 · outbound

This paper cites Kilbas and M.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Kilbas and M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:14.672034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:10.401784Z digest=sha256:938045f00ea055395bddfe71fdf35b68b10aa4ae416bfb60743dfd297d2bfde4

Observation b70b0e70-98bc-4d09-89d2-69acd3487c63 · outbound

This paper cites Lee and Y.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Lee and Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:14.514885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:10.542355Z digest=sha256:e7314e6b629e9142e4dde901bd18340c8495c91f354ccbefe2507fafa69b7853

Observation b0d8e59e-9671-4337-a7ba-f56c4cb8b839 · outbound

This paper cites Lei and D.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Lei and D

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:14.363168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:10.691856Z digest=sha256:cfa2ec1a9d877fb29dd8f1cbe285be08d575ef71984789969944f58b44a30532

Observation 590c24b3-ae96-458d-8693-22c293e4768a · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:14.188681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:10.834867Z digest=sha256:35bba6394f07b6d97c4aeafd99e7c68d461fbb9cd8041f19cd1090c92bc15b1a

Observation 301034b3-53e9-4d34-a2e7-726dceb16d3f · outbound

This paper cites Liu and R.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Liu and R

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:14.052320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:10.882184Z digest=sha256:dc5a677ac3c7503253a917f7db91778b5c94fb9c22f247147778c5e975031afb

Observation ae535622-f354-406d-8f6c-0805e2432a23 · outbound

This paper cites Mueller and R.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Mueller and R

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:13.895413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:11.046056Z digest=sha256:f539d1df1a11bad76a9de979285b1cf82844e5c0e44d87b1c2d722e106d4cacf

Observation 0c934822-8814-4b39-975f-2e27e5813a08 · outbound

This paper cites Olver, D.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Olver, D

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:13.722691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:11.178791Z digest=sha256:50ce26aaf09dbb4dd9113819e6e90fe96523d62f03f3e359a1671612a69f6886

Observation f5d0d2db-3830-4d93-a107-b06afaf407c1 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:13.548637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:11.283014Z digest=sha256:7fa27089566afbd7cee0add9311ee02c6fef181bf142de60d930223a869035e3

Observation bd93e3e4-d506-4a3a-90db-371f3f1e9e15 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:13.425709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:11.455599Z digest=sha256:0a4772af5a158b39f8a9793568a47faa8408f64ca5f44dbaa43243cfb9cdeef3

Observation 4dbb6dd9-4993-45ee-9d9f-617ec5dac22f · outbound

This paper cites Talagrand, Sharper bounds for Gaussian and empirical processes,Ann.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Talagrand, Sharper bounds for Gaussian and empirical processes,Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:13.152904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:11.591069Z digest=sha256:31429b77938bb019e875475c6dddb553f91169abf426ab3138e0c7ab8b967460

Observation b58eec30-4796-4270-81bf-9bb34b94ba58 · outbound

This paper cites an unresolved cited work.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:12.866093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:11.726157Z digest=sha256:c0aa350788464d11ed21582a419eed8f9228b386882b30bc8bb445917f4e63fa

Observation 45c25665-6ee1-447d-857a-d4d9d9aa4bce · outbound

This paper cites Wang and S.

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation Wang and S

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:12.637183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.