Paper Citation Record · LEDGER

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges

As of 22 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.11553.

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

pith.paper-citation-record.v1
2608.11553 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:52:08.438132Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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 exact11
verified fuzzy3
unresolved7
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ccb9a86-ac6c-40a9-8f96-a99784224dfd · outbound

This paper cites Albritton, E.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Albritton, E

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T00:52:08.327618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c080c8df-255b-43da-8c8a-0814196a1472 · outbound

This paper cites Beir˜ ao da Veiga and J.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Beir˜ ao da Veiga and J

Reference 2

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.670493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0bfee954-258f-4ca6-ad37-9b693e646537 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.656270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c1a3ddeb-3e37-4302-a3c9-ab8729e042f0 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.642343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 20553a10-c61f-471f-97d3-4138ac962533 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.626978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b4463d8b-a3e2-43e2-8e7d-e7b1bd075e34 · outbound

This paper cites Escauriaza, G.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Escauriaza, G

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T00:52:08.353582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79a0511d-ce2f-454c-96d5-7a908f1eff4c · outbound

This paper cites Farwig, H.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Farwig, H

Reference 7

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.601177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5fcac2d-cd51-4041-a319-c29afa19d213 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.584801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 625caa14-908c-4850-bd46-29393e403b81 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:52:08.986252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ad8f1383-4506-4d94-94ca-21282382c0b9 · outbound

This paper cites Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:52:08.886263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9d884a22-f41a-4fc8-a162-7c5399c4ed47 · outbound

This paper cites Giga,Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier–Stokes system, J.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Giga,Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier–Stokes system, J

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:52:08.378555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 697146c3-2910-40f7-a677-473f18876e8d · outbound

This paper cites Hopf, ¨Uber die Anfangswertaufgabe f¨ ur die hydrodynamischen Grundgleichungen, Math.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Hopf, ¨Uber die Anfangswertaufgabe f¨ ur die hydrodynamischen Grundgleichungen, Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:52:08.969461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 762c0e63-4843-402f-a40e-b76725b91112 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 13

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:52:08.558193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dc9b16a0-aeac-4521-9f05-6c6fc0ffc8be · outbound

This paper cites Kozono and H.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Kozono and H

Reference 14

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.541994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f0b4c0a2-70d2-4b2b-8892-ca358af964e8 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:52:08.951615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e73c386c-8736-4b77-a622-675a1b05dfaf · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T00:52:08.403269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 469aec9d-a40f-4333-9501-d64ae575727c · outbound

This paper cites Leray,Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math.63(1934), no.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Leray,Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math.63(1934), no

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T00:52:08.408026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b730eb2-8e5d-45b0-b2a9-59b350a00bea · outbound

This paper cites Neˇ cas, M.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Neˇ cas, M

Reference 18

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.512820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 86d8f844-aa8a-46e7-9f37-2ba21c1875ec · outbound

This paper cites Pan,Regularity of solutions to axisymmetric Navier–Stokes equations with a slightly supercritical condition, J.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Pan,Regularity of solutions to axisymmetric Navier–Stokes equations with a slightly supercritical condition, J

Reference 19

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.496018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 91ae162a-777a-422e-9cdd-f86354b10f33 · outbound

This paper cites Serrin,The initial value problem for the Navier–Stokes equations, in: Nonlinear Problems (Proc.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Serrin,The initial value problem for the Navier–Stokes equations, in: Nonlinear Problems (Proc

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:52:08.935074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0097e3f6-80d4-4187-941a-f9a0eb8a40de · outbound

This paper cites Sohr,The Navier–Stokes Equations: An Elementary Functional Analytic Approach, Birkh¨ auser Advanced Texts, Birkh¨ auser, Basel, 2001.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Sohr,The Navier–Stokes Equations: An Elementary Functional Analytic Approach, Birkh¨ auser Advanced Texts, Birkh¨ auser, Basel, 2001

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:52:08.917382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 544d8c0b-4855-4a0c-8175-c04d3b526d62 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:52:08.902198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f0a6905b-cf44-458d-bcb6-290090b603b1 · outbound

This paper cites an unresolved cited work.

Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-16T00:52:08.477434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.