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Paper Citation Record · LEDGER

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2506.03658.

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

pith.paper-citation-record.v1
2506.03658 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:09:16.113521Z

measured 23 of 23 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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c37196fb-d993-4001-87f7-7b832ac8f974 · outbound

This paper cites Ba nas, Z.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Ba nas, Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:20.872547Z

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=2026-08-07T11:09:13.324424Z digest=sha256:08fb7708209920b9d8fdc8b19244479c8e5dd50ba82de9a3f7cc0db583a7cab0

Observation 8f5c5316-f9ee-4760-af72-bcbf37081693 · outbound

This paper cites Ba nas, Z.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Ba nas, Z

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:20.615058Z

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=2026-08-07T11:09:13.402162Z digest=sha256:93467670aca23306861f1173f35b3092e92680ff4ff2c67865759ae46938b672

Observation 2f8352f7-1e6f-4cab-8d21-65cabf0bbc51 · outbound

This paper cites Bensoussan, R.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Bensoussan, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:20.372305Z

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=2026-08-07T11:09:13.470810Z digest=sha256:4264ce7331ef1598e72c3477e7e97cb58f6265701f129ec18baf0d061fe80cc7

Observation b08cfb48-0eb3-4f84-911d-e0d765006ffa · outbound

This paper cites Billingsley, Convergence of probability measures.John Wiley and Sons, Chicago, 2013.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Billingsley, Convergence of probability measures.John Wiley and Sons, Chicago, 2013

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:20.145051Z

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=2026-08-07T11:09:13.542204Z digest=sha256:167121619058db2e7b3da2a86aa24eb6220b30f5ecc5215a2a345a7e69c341f3

Observation 0d8b093d-cf95-4717-a119-e654d77d5132 · outbound

This paper cites Blanchet, J.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Blanchet, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:19.936700Z

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=2026-08-07T11:09:13.602004Z digest=sha256:35e7716ea8bc3ad06facdf12058efbde946ecf7707c260204c2d4698450d207f

Observation 98530a9a-a651-43b3-a012-de36351ef9da · outbound

This paper cites Brze´ zniak, E.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Brze´ zniak, E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:19.742811Z

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=2026-08-07T11:09:13.701790Z digest=sha256:f8aec5527dc633bc4b43277693481830a63baef9597f09e2a7067993c3cc5315

Observation c77d3f6a-5b57-4768-adf6-0ed90c9b199a · outbound

This paper cites Caraballo, J.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Caraballo, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:19.448199Z

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=2026-08-07T11:09:13.786719Z digest=sha256:91ab51c182918d2dbdf0ee19f9ab89b80bb05a0c31e6608503c1f7efc35198c0

Observation db916b40-fa52-4bb0-a454-dbbec4a376ab · outbound

This paper cites Debussche, N.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Debussche, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:19.259914Z

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=2026-08-07T11:09:13.845227Z digest=sha256:1e9e17e4b3e254b8f177a2f2d20500910aec54686c3ccdc83ee67a0e905f9f9b

Observation fa030d9f-7e25-4153-ab1c-980620ae91df · outbound

This paper cites De Bouard, A.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise De Bouard, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:19.041965Z

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=2026-08-07T11:09:13.908057Z digest=sha256:03daa6e2ea96b78b3ffbc12942db22e4fb928df06b7e19bd0564679c7b319079

Observation cf099b0d-fa19-4a76-ac9f-8788c7756def · outbound

This paper cites Flandoli, D.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Flandoli, D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:18.850730Z

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=2026-08-07T11:09:13.972359Z digest=sha256:7cb02900a69b03c862eec53800e8c5665518c46a153f6f525e27808caf2ef69b

Observation c5ce4e0b-c025-4a6f-90fa-92e3b6338269 · outbound

This paper cites Glatt-Holtz, R.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Glatt-Holtz, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:18.722902Z

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=2026-08-07T11:09:14.054184Z digest=sha256:141500cc0ef82655e1dd602e304bf587a9a0e18bd4254f27155126603df81f82

Observation 4b6e630f-e5f7-4907-9f02-062e8744e29f · outbound

This paper cites Granas, J.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Granas, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:18.573859Z

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=2026-08-07T11:09:14.139719Z digest=sha256:8646f13c935f5a621b671541d034adedae8cc2e73cbaf0bc3bcf0ff37df89de8

Observation e228f0c4-60b1-4677-991e-9d149785524d · outbound

This paper cites Grisvard, Elliptic problems in nonsmooth domains.Pitman, Boston, 1995.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Grisvard, Elliptic problems in nonsmooth domains.Pitman, Boston, 1995

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:18.465297Z

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=2026-08-07T11:09:14.232247Z digest=sha256:356b7ec58ca5f9dc5a83e536fcb20fe9e261a0321556149d18656a3c0c03da89

Observation 1d1f4790-8408-4e3f-8569-128c0384215c · outbound

This paper cites Ichikawa, Stability of semilinear stochastic evolution equations.J.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Ichikawa, Stability of semilinear stochastic evolution equations.J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:18.332564Z

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=2026-08-07T11:09:14.285198Z digest=sha256:673a9801958ee9ecfdf9136e31a872fb3ceabc87a7509d972d9a977305723307

Observation d5a246aa-158a-440a-b2b0-c8c97cc21365 · outbound

This paper cites Jakubowski, The almost sure Skorokhod representation for subsequences in nonmetric spaces.Theory Probab.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Jakubowski, The almost sure Skorokhod representation for subsequences in nonmetric spaces.Theory Probab

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:18.222449Z

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=2026-08-07T11:09:14.334888Z digest=sha256:08ad0b24536d25bd51b590c09b3ffc7a417f8e33700292edc099d01f6bcdf6e9

Observation ea081d4b-c266-47c4-98be-3ea1c6e19cf8 · outbound

This paper cites an unresolved cited work.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:09:17.958959Z

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=2026-08-07T11:09:14.422314Z digest=sha256:c309d7a91be68f1f6acaf7a5aafac776381111f34ae0dec1c7a78a8ac2f2a6fa

Observation cef52209-3cb5-4cf1-b670-e059500cee30 · outbound

This paper cites an unresolved cited work.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:09:17.821207Z

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=2026-08-07T11:09:14.534821Z digest=sha256:f274a2837c1aaac5077eeaff3df326137742118f3f28e6ee1b11763887900a9e

Observation 232e50cc-2340-44af-8c0d-022c301eec52 · outbound

This paper cites Simon, Compact sets in the spaceL p p0; T;Bq.Ann.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Simon, Compact sets in the spaceL p p0; T;Bq.Ann

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:17.689270Z

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=2026-08-07T11:09:14.623071Z digest=sha256:839fec09d05ff7c8ff8debd4b03799d3fe4a5a6664cfd56b53a4d3e46c9d94f9

Observation 7d26ee0b-c6da-46c1-a6ad-2319065b7b0f · outbound

This paper cites Simon, Sobolcv, Besov and Nikolskii fractional Spaces Imbeddings and comparisons for vector valued spaces on an interval.Ann.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Simon, Sobolcv, Besov and Nikolskii fractional Spaces Imbeddings and comparisons for vector valued spaces on an interval.Ann

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:17.557860Z

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=2026-08-07T11:09:14.668906Z digest=sha256:8793e9c0a8b0b03f7734f930437e98ce6b3adcd055f1f02ddab3c2c6efa81990

Observation d0d2bf14-d1ec-4197-9109-c6a1a3aceb02 · outbound

This paper cites an unresolved cited work.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:09:17.419805Z

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=2026-08-07T11:09:14.718026Z digest=sha256:fa42ca5dc71bad6d38ddeda89eb6d3d76fe31783384d68c62caab234e1a96fba

Observation a97f3cb5-28bf-496c-91ee-66e74ca397b6 · outbound

This paper cites an unresolved cited work.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:09:17.281391Z

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=2026-08-07T11:09:14.778610Z digest=sha256:539daafa21df68b36336a2ee483e000dd3902192780151da57ce7ff99a65868c

Observation ea6eb263-99fb-4d05-bd53-c1e94a57470e · outbound

This paper cites an unresolved cited work.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:09:17.169871Z

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=2026-08-07T11:09:14.984317Z digest=sha256:afebd5eefcd1eeed7e8f93838da8b15016ed8d1f26036357dabb9e4a7ec24dde

Observation 229bf2ba-19dc-4afa-8cec-b26603889a20 · outbound

This paper cites Zhang, B.

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Zhang, B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:09:17.038944Z

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=2026-08-07T11:09:16.113521Z digest=sha256:ec36c4dfb04e575aa016b781f4fad18322f9062e232fc90beea2e91f3728ce83

Pith citing papers

No inbound Pith citation observations are available.