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Paper Citation Record · LEDGER

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2608.07798.

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

pith.paper-citation-record.v1
2608.07798 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:18:41.214527Z

measured 26 of 26 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

26 of 26 outbound references displayed

  • verified exact3
  • verified fuzzy14
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ef8c2040-dd39-45c3-91c4-471f7201ebb5 · outbound

This paper cites Amrouche and N.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Amrouche and N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.660427Z

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.

source=pdf_text observed=2026-08-11T04:18:40.747661Z digest=sha256:88aac651f37c67f751d8edeebf44d1705c19f6f818eb9a2a4c8aa16c796f4ac3

Observation 83c42ef5-3fb4-4b5b-bda2-c78d15bce603 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:42.596529Z

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.

source=pdf_text observed=2026-08-11T04:18:40.753593Z digest=sha256:b153fb0d6845b6b97901657f7f887a05d97e9ca44cafc7fb936b98f4f489a704

Observation 70a7fe6a-ec1d-4a40-b390-fb9da34afa07 · outbound

This paper cites Carelli and A.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Carelli and A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.581632Z

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.

source=pdf_text observed=2026-08-11T04:18:40.758729Z digest=sha256:84f78e118127a90e0d2300c6547d670bef06da1b10cdaecb491b94db7476aff0

Observation 31f6ee52-12d1-4cda-abda-4e0cc7e34a78 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:42.562093Z

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.

source=pdf_text observed=2026-08-11T04:18:40.764237Z digest=sha256:5249824216128ae9e8b6fff615dcca46c3d4af87676c093fa054474444d81486

Observation 35324534-98d7-4ad5-b90d-a7237b0e7c40 · outbound

This paper cites Da Prato and J.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Da Prato and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.544527Z

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.

source=pdf_text observed=2026-08-11T04:18:40.769071Z digest=sha256:955c1da55189f114a27af529a380984345db01a78eb9ba5d54f704583f996408

Observation a0f0a389-e33c-4680-aee9-3e4490d13216 · outbound

This paper cites Duarte-Rodr ´ ıguez, M.´A.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Duarte-Rodr ´ ıguez, M.´A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.458864Z

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.

source=pdf_text observed=2026-08-11T04:18:40.773759Z digest=sha256:c98434458f937ab16a1174bf98db2872d3ece67d3d459219c9aa3ea901a67419

Observation c12fefcb-d725-49d4-9c06-da55cbf7b269 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T04:18:40.778098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:18:40.778098Z digest=sha256:511e6aa2e079cb518940df3901312c9ca3fc99d623bd0917e4113967c9bd9d09

Observation 51e74164-6764-4d59-9dd6-1031ce993b1d · outbound

This paper cites Feng and L.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Feng and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.394626Z

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.

source=pdf_text observed=2026-08-11T04:18:40.782141Z digest=sha256:04f186112453202415d27b8af885fe89c5ef674c295abe6e828877542a0358fb

Observation b33a8b5c-d600-4ee7-921d-f702b5c38f71 · outbound

This paper cites Hillen and K.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Hillen and K

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.375543Z

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.

source=pdf_text observed=2026-08-11T04:18:40.786976Z digest=sha256:4d197d0e012122a17af90ca2274a08237412a09d5cedd79df2d09a25a5bce5f4

Observation 82e44a3e-54ff-4ea0-bec6-298532c6e337 · outbound

This paper cites Huang and J.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Huang and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.312793Z

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.

source=pdf_text observed=2026-08-11T04:18:40.818052Z digest=sha256:0ae90f38828b1fd209c855ad6bc9e1821b9ff2b207b321843fd8071bc5686579

Observation 5956878f-40fa-4c95-92f2-093ab8ea66c2 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:42.194194Z

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.

source=pdf_text observed=2026-08-11T04:18:40.887119Z digest=sha256:f1631e8e72bd7e49c4a4417bcfe27281f8efe426c81b1f20ed335d79ed00a2e9

Observation 54b686bc-b18b-463d-a775-6f48dd9ef103 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:42.143665Z

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.

source=pdf_text observed=2026-08-11T04:18:40.952458Z digest=sha256:67295b8440de93a738501189fa2d02170c28ff023d68219f811316b62281d3e2

Observation e82a396f-448a-4c82-a12b-c0ed162ce3ca · outbound

This paper cites Lankeit and M.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Lankeit and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:42.119147Z

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.

source=pdf_text observed=2026-08-11T04:18:40.998438Z digest=sha256:b9e8b264b78e9073a0bf92bf27059cb8242eb8970b0e7b0f67f63040f7a62ff2

Observation 45146927-922f-43bf-89a6-2362e52f7167 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:42.096536Z

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.

source=pdf_text observed=2026-08-11T04:18:41.003457Z digest=sha256:4c0d270b4ff697b216165b8818971104ee30276eaa9aa947dd743037f12b6d52

Observation 2a8c6944-2722-4d4c-86d4-fa401f55c68d · outbound

This paper cites Mayorcas and M.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Mayorcas and M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:41.942739Z

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.

source=pdf_text observed=2026-08-11T04:18:41.008057Z digest=sha256:86762b1e8a469ef96ef7270b336361a8560d7f8a9507479a54f15b4684a68570

Observation 70c88f3b-116e-4047-8e31-44a54c68510c · outbound

This paper cites Mimura and T.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Mimura and T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:41.892730Z

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.

source=pdf_text observed=2026-08-11T04:18:41.012403Z digest=sha256:526bd825b27f8a05ba6431282553e3443fcb40c3520349e27f39451fdb4a2477

Observation 341ee1fb-e5c3-47e6-8744-11d0fa294edc · outbound

This paper cites Misiats, O.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Misiats, O

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:41.869440Z

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.

source=pdf_text observed=2026-08-11T04:18:41.016254Z digest=sha256:448b15e8dcedb84dc7d8b4599075ae4fe604d5321c7854df9cd03c7e779ddb8e

Observation d6b6ad95-12d1-473f-9a9d-ab35872f2b2c · outbound

This paper cites Mukherjee, E.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Mukherjee, E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:41.850929Z

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.

source=pdf_text observed=2026-08-11T04:18:41.027595Z digest=sha256:4f9eeafd174a112d73d27ac0653ea30f908e1bf3097617aa5c0facf1bc472f34

Observation 461b8823-bf7d-4c1f-b714-444a0cfcc45c · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 19

Resolution
verified exact
raw_fallback, observed 2026-08-11T04:18:41.453244Z

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.

source=pdf_text observed=2026-08-11T04:18:41.033785Z digest=sha256:fdeca46b2bc7a3a2c7daa0d18267ceed28b17c36d18b6c8671bd52334f817ffe

Observation 26c93638-5afe-40ec-ad31-fc9ddd95198e · outbound

This paper cites Fully discrete finite element methods for the stochastic Kuramoto-Sivashinsky equation with multiplicative noise.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Fully discrete finite element methods for the stochastic Kuramoto-Sivashinsky equation with multiplicative noise

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:18:41.349321Z

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.

source=pdf_text observed=2026-08-11T04:18:41.039692Z digest=sha256:c2471c0dde531ab5bd7b3d9bfe088296cb052393954bc2943db31854d2f571a0

Observation b78f421c-7209-4e78-a819-0008bf8f2546 · outbound

This paper cites Osaki and A.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Osaki and A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:41.799907Z

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.

source=pdf_text observed=2026-08-11T04:18:41.047449Z digest=sha256:a5a3237e477cf977cd66d79b4c83dfde68e7e46cee9c36e4cb81ea555f15fb09

Observation eae09ca3-d7fd-4fc5-bd23-9069b5aeb6f9 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:41.643133Z

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.

source=pdf_text observed=2026-08-11T04:18:41.105084Z digest=sha256:69736ce551dd755970a823fda7ca94fd2fb28713056037e78b0dfe5bb503bf15

Observation 3ebd236b-bd04-42c4-94b0-90710f6739d7 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:41.606049Z

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.

source=pdf_text observed=2026-08-11T04:18:41.133482Z digest=sha256:5c5e17e95f62e2274309cb8d3d8d5f388ee7121de5d6d7816ba04db3800c48d5

Observation 94932a67-7ea4-406e-93a7-9de35aa26b0a · outbound

This paper cites Analysis of fully discrete Crank-Nicolson finite element methods for a stochastic Keller-Segel chemotaxis system with gradient-type multiplicative noise.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Analysis of fully discrete Crank-Nicolson finite element methods for a stochastic Keller-Segel chemotaxis system with gradient-type multiplicative noise

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:18:41.320808Z

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.

source=pdf_text observed=2026-08-11T04:18:41.156926Z digest=sha256:e70a746bcac85ed1382279c121169ea51839233e45831a5097c0b611b5c8a0bb

Observation 0706936f-340e-47ae-bca3-3c564878f291 · outbound

This paper cites an unresolved cited work.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:18:41.593507Z

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.

source=pdf_text observed=2026-08-11T04:18:41.190552Z digest=sha256:c036c7ff66c9469885db5244c775300c9a7a2dbc3dec188ef1f133a63d577eaa

Observation 911e2402-f770-4436-a963-92c48da0f5bd · outbound

This paper cites Zhang, J.

A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise Zhang, J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:18:41.548159Z

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.

source=pdf_text observed=2026-08-11T04:18:41.214527Z digest=sha256:a6081682173ec791b2580262f530f2e0aea9a19159055e5e93fbf73253ed6a9f

Pith citing papers

No inbound Pith citation observations are available.