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Paper Citation Record · LEDGER

Weak irreducibility of stochastic delay differential equation driven by pure jump noise

As of 5 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2509.01519.

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

pith.paper-citation-record.v1
2509.01519 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:42:51.537006Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8fc0957d-ce6e-4e40-af41-6fb91bb1c9e2 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.957802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.424368Z digest=sha256:ff00b379d2f8367f5e34c893b608a0d7d8610c182ca908546ba1442a649b3a82

Observation e1f24184-b622-4962-b66d-5ea104707eba · outbound

This paper cites Brze´ zniak, W.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Brze´ zniak, W

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.942806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.429492Z digest=sha256:2f6123b89a95e965cc95b7c81f5d396b4a6cd740076a629d4b0eb1b66ecba2c9

Observation 7c7dc8fd-9eb6-43d8-97b9-920f13ed4247 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.927933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.434223Z digest=sha256:2bd6f2bb5ae596ec3d4460b36e933798476c55ee7f4217e201f377c965010ef9

Observation a5fadc98-abfa-48a8-9505-35dc077d21ee · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.912581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.439255Z digest=sha256:8a69d6e65b1833cd36af493c488d57ab0be9243e2de4907f9b96ac7103b15da2

Observation 37aa2c47-e171-49a4-a199-709190949479 · outbound

This paper cites Ergodicity for eventually continuous Markov--Feller semigroups on Polish spaces.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Ergodicity for eventually continuous Markov--Feller semigroups on Polish spaces

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:42:51.597543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.444238Z digest=sha256:eca4cb40135fbc42c9f680f9d49c1729d66d4c93931616fad8622855afc0f805

Observation 33408707-f700-4465-8b84-5dc99a31b8b4 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.898125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.449215Z digest=sha256:6818de59ff977d8d03a9799aedf456b4da163f70c37d31a21c5909e6f8f3a655

Observation 5de5e9f9-82e2-4105-8c3f-90944bf08c30 · outbound

This paper cites Hairer, J.C.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Hairer, J.C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.883504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.453912Z digest=sha256:16fd83dbdec28f9077ca3d9c3ab1dc8248207b77dacdffb7cee582e5c2cba050

Observation 16065aa9-c054-4afc-a1d5-cfda4cd49040 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.867914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.458813Z digest=sha256:7de6c279f218389dfe21a97e076d083478cb3326bc6201accf7b27ace750ca09

Observation 26f2dc0e-d6f5-4155-b124-847b034ec0ce · outbound

This paper cites Ishikawa, Support theorem for jump process of canonical type.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Ishikawa, Support theorem for jump process of canonical type

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.852971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.463315Z digest=sha256:68e9824efe68bed7ba391d6e699b96fef8928383ae090b6fd02a14f6aeeefb94

Observation 9356c208-6823-4e6b-96d8-f6ac2bb9e86f · outbound

This paper cites Kapica, T.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Kapica, T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.838286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.467793Z digest=sha256:0a2941f4df78deabd619aa2c1c5315825d77c66597ea1c1c02f6817c979ea7ac

Observation be9d3bb4-2ea3-4f1c-911a-d2f7b575f364 · outbound

This paper cites Kunita, Canonical Stochastic Differential Equations Based on L´ evy Processes and Their Supports.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Kunita, Canonical Stochastic Differential Equations Based on L´ evy Processes and Their Supports

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.821659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.472165Z digest=sha256:6fd08385dce355ca84da1ddee5c0fe391e187065e4f79f9ece3d981af081d527

Observation d9384574-f6c2-4e48-b51d-d1015ab5023b · outbound

This paper cites Kulyk, Support theorem for L´ evy-driven stochastic differential equations, J.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Kulyk, Support theorem for L´ evy-driven stochastic differential equations, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.806209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.476779Z digest=sha256:f5d5fd8fb618d643febd4f70a1e0cd6bdb6ad5421399e34dfeac1a88b2ee4ea5

Observation b615ddf1-7685-4499-9712-12f7b8fe4d1c · outbound

This paper cites Liu, Zi-yu Liu.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Liu, Zi-yu Liu

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.790437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.481340Z digest=sha256:4e1cc12b571bcf967f7a1b32cf2d430ccb01856e4384b51794cd1909eeffb0e5

Observation 8e9c65c1-079c-47bb-92e2-01fe52b283d6 · outbound

This paper cites Protter, Stochastic Integration and Differential Equations.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Protter, Stochastic Integration and Differential Equations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.774725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.485684Z digest=sha256:3d052f6472a802df92db2f68dbc35c877feb57f6081f2311cceb044276060f01

Observation 157beeb8-6291-449e-b798-b78930ef45f4 · outbound

This paper cites Peszat, J.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Peszat, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.759810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.490103Z digest=sha256:a2a5f858c6a729e048b3852a9354e749e78a8295e7f7dbd0c5303f241292899d

Observation 7eb2196f-2f7a-43c1-a923-b828a3ca839e · outbound

This paper cites Priola, J.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Priola, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.744105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.494639Z digest=sha256:997732ffcdf89e0ac5486e46310bce3d89998530bb606347b7e18c9f803d6d4f

Observation b6ead77c-17d9-45a7-9749-92c51088e177 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.727989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.499897Z digest=sha256:e0b181e7830a63e20a8a52c7e1435cb666f946b3f562af870470d491faf9ec7d

Observation 6547a314-829d-400e-b40f-19eda8c737ca · outbound

This paper cites Simon, Support theorem for jump processes, Stochastic Process.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Simon, Support theorem for jump processes, Stochastic Process

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.712987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.504311Z digest=sha256:585dcfc4d910ff15397c45073c3d3705da132fb4490067a7b98a7eecab2610c0

Observation f8ac0eae-a2d9-426d-8736-c5a57ca4b5ec · outbound

This paper cites Simon, Support d’une ´ equation d’Itˆ o avec sauts en dimension 1.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Simon, Support d’une ´ equation d’Itˆ o avec sauts en dimension 1

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.697286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.508934Z digest=sha256:d6c2f22305493b863941322505ae21206b1d03d564dc0122df81955354c8648d

Observation f332e118-c5e2-4e4c-9462-6bf676f1455d · outbound

This paper cites Irreducibility and ergodicity of SPDEs driven by pure jump noise.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Irreducibility and ergodicity of SPDEs driven by pure jump noise

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T12:42:51.513654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:42:51.513654Z digest=sha256:7ee468934fd89a51a78165e4896becfd54a01807d861444b542848289b1244ac

Observation df6bda76-465c-4581-a2bf-38f3a1a03bbf · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.679997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.519091Z digest=sha256:1bb7d1c448a528efaacedcec84c9bd12bff20e9ca6eb7408faa6c66d347474bc

Observation 508726ed-e4a6-4f89-8ed0-55742b38c715 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.663071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.523584Z digest=sha256:422e6c6647080a8e6b9e065e9fb1166819b3af46de17c049acc739b65ed30943

Observation 2d088c0d-53e9-4959-9943-b483eca5f1fd · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.646552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.527954Z digest=sha256:20bf1b6cdff01efe1cb864d9faed134b90f7b52451970f3fc14a52a0bf992973

Observation 0f8b1437-cb6f-4116-ae68-459b7c9f97c6 · outbound

This paper cites an unresolved cited work.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:42:51.630145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.532558Z digest=sha256:95c406c3d4bc77201f54a60d65da64b300d7bc2785cfa05b49ff89c61cbd269f

Observation 8519d574-1a04-4ddd-86cb-f57931b07eb3 · outbound

This paper cites Xu, Ergodicity of the stochastic real Ginzburg-Landau equation driven by α-stable noises, Stochastic Process.

Weak irreducibility of stochastic delay differential equation driven by pure jump noise Xu, Ergodicity of the stochastic real Ginzburg-Landau equation driven by α-stable noises, Stochastic Process

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:42:51.614154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-08-05T12:42:51.537006Z digest=sha256:0f3261b0cc712b9946f76eeb60cf1476aa72ef9724ce873aa92e34d25cf301e6

Pith citing papers

No inbound Pith citation observations are available.