Paper Citation Record · LEDGER

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2501.10331.

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

pith.paper-citation-record.v1
2501.10331 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:20:32.050740Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:09:48.641128Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T13:09:50.127604Z

Reference resolution

33 of 33 outbound references displayed

verified exact1
verified fuzzy30
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7665e16a-1c66-4e38-82dd-4b9e5e2c766d · outbound

This paper cites Agresti and M.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Agresti and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.484610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b07c5fde-bf90-49c7-b2a2-eebddb83eb32 · outbound

This paper cites Barbu and M.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Barbu and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.471431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f2d964fc-3471-451e-829e-46fb9c535cfc · outbound

This paper cites Benner and C.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Benner and C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.457608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 23a74ca2-9c44-4772-be03-7cfd4a3d5fe3 · outbound

This paper cites Bensoussan and R.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Bensoussan and R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.444327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6e1a473c-a175-47bd-857d-07b9f86ec2e3 · outbound

This paper cites Brze\' z niak, M.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Brze\' z niak, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.431407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dedadbbc-6545-4a6c-b978-ae87e2b320d9 · outbound

This paper cites Brze\' z niak and B.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Brze\' z niak and B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.420135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ec2ba216-fdab-46bd-8233-ff66c41bb91e · outbound

This paper cites Capi\' n ski and N.J.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Capi\' n ski and N.J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.408865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6cf7d18f-e0ae-43ac-b95e-cc10dc32a0fe · outbound

This paper cites Constantin and C.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Constantin and C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.396361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c1641eff-fb9a-4f26-8062-4d955c73365d · outbound

This paper cites Crisan, F.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Crisan, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.385689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 682a7691-9ea9-4668-8f81-c83eeb692923 · outbound

This paper cites Da Prato and J.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Da Prato and J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.373981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 568fd58e-9c2b-4233-96f1-e443ad7b68bc · outbound

This paper cites Flandoli, An introduction to 3 D stochastic fluid dynamics , S PDE in hydrodynamic: recent progress and prospects, Lecture Notes in Math., vol.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Flandoli, An introduction to 3 D stochastic fluid dynamics , S PDE in hydrodynamic: recent progress and prospects, Lecture Notes in Math., vol

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.361407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7bb86b0e-7ccf-4782-829a-1d343e48248c · outbound

This paper cites Fabes, B.F.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Fabes, B.F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.350153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f5ec650f-92d2-46ab-8c5b-7ccd7a87b65e · outbound

This paper cites Fujita and T.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Fujita and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.338635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 652fd020-eb89-4312-8d14-20e8bf4a5423 · outbound

This paper cites Fernando, B.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Fernando, B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.327095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 359e03dc-31d2-42a8-af5b-cbcc771e5997 · outbound

This paper cites Fernando and S.S.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Fernando and S.S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.315587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 67fbe93a-5fad-4a62-8669-f54d720cd0aa · outbound

This paper cites Glatt-Holtz and V.C.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Glatt-Holtz and V.C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.303048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 548d9893-cadb-4954-a182-274cf99686a0 · outbound

This paper cites Glatt-Holtz and M.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Glatt-Holtz and M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.291136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1f542d05-95fe-4405-bf0f-85da143bf8a4 · outbound

This paper cites Kato, Strong L^ p -solutions of the N avier- S tokes equation i R ^ m , with applications to weak solutions , Math.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Kato, Strong L^ p -solutions of the N avier- S tokes equation i R ^ m , with applications to weak solutions , Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.280048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3a50e73a-df99-4a7c-a7c6-a6c73ccc1feb · outbound

This paper cites Kim, Strong solutions of the stochastic N avier- S tokes equations in R^3 , Indiana Univ.\ Math.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Kim, Strong solutions of the stochastic N avier- S tokes equations in R^3 , Indiana Univ.\ Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.268131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 32bedf6c-590a-4383-a2e3-d687c661db45 · outbound

This paper cites Koch and D.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Koch and D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.255716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 19a67da7-3834-4c64-aecb-f80d43e4b78b · outbound

This paper cites Krylov, On L_p -theory of stochastic partial differential equations in the whole space , SIAM J.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Krylov, On L_p -theory of stochastic partial differential equations in the whole space , SIAM J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.244107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 58a5df0e-d197-4e18-953b-0d8c4d4d57cf · outbound

This paper cites Kukavica and V.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Kukavica and V

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.232142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5c57b74e-87d2-47b5-88ca-78db26e8712a · outbound

This paper cites Kukavica and F.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Kukavica and F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.219630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 92c6e50d-f51d-405f-888d-a46489dc24af · outbound

This paper cites Global existence of the stochastic Navier-Stokes equations in $L^3$ with small data.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Global existence of the stochastic Navier-Stokes equations in $L^3$ with small data

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T19:20:32.013603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb45e12e-ab7b-43f3-8504-404e433fe528 · outbound

This paper cites Local existence of the stochastic Navier-Stokes equations in the whole space.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Local existence of the stochastic Navier-Stokes equations in the whole space

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:20:32.091127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a0a89ede-bbaa-4c6f-85ed-1ba3904cf160 · outbound

This paper cites Kukavica, F.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Kukavica, F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.206650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 55404237-b4c1-4ccd-a3a8-e1ff5815f8fe · outbound

This paper cites Lototsky and B.L.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Lototsky and B.L

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.194231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 35ba3c60-4f47-407f-a3e5-b99d5c778df2 · outbound

This paper cites Menaldi and S.S.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Menaldi and S.S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.181674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 93a3b4c4-d3f5-4107-be95-c4d25bdd5d08 · outbound

This paper cites Mohan and S.S.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Mohan and S.S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.168190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 38ee3d3b-47c2-43c7-a7fa-afca0652bd35 · outbound

This paper cites Mikulevicius and B.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Mikulevicius and B

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.154517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9e3c3879-ac74-4a0e-ae31-3e1c51c2a1f4 · outbound

This paper cites Rozovski , Stochastic evolution systems, Mathematics and its Applications (Soviet Series), vol.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Rozovski , Stochastic evolution systems, Mathematics and its Applications (Soviet Series), vol

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.141427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f62b69a4-8479-46a5-854c-1392101aa479 · outbound

This paper cites Temam, Navier- S tokes equations , AMS Chelsea Publishing, Providence, RI, 2001, Theory and numerical analysis, Reprint of the 1984 edition.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Temam, Navier- S tokes equations , AMS Chelsea Publishing, Providence, RI, 2001, Theory and numerical analysis, Reprint of the 1984 edition

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:20:32.128423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 401fd37a-b6b5-4a84-8884-7af6b734bd95 · outbound

This paper cites an unresolved cited work.

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:20:32.115793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 67d7c2f1-2b15-470b-afde-36d096aefa07 · inbound

The Euler equations with variable coefficients cites this paper.

The Euler equations with variable coefficients Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T13:09:50.133874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.