Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T14:09:11.722250Z
Paper Citation Record · LEDGER
Mass threshold for global existence in chemotaxis systems with critical flux limitation
As of 15 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2507.19866.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact1
- verified fuzzy26
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a98e01a7-8f75-4ee1-8fd6-3d19b7bf8e03 · outbound
This paper cites A HN AND M.
Mass threshold for global existence in chemotaxis systems with critical flux limitation A HN AND M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:12.048114Z
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.
Observation dd6a3856-a016-425b-a94f-891f9e4a4e07 · outbound
This paper cites B ELLOMO , A.
Mass threshold for global existence in chemotaxis systems with critical flux limitation B ELLOMO , A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:12.040556Z
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.
Observation 16adfb8c-a557-4b4d-acc2-c0821ae40f24 · outbound
This paper cites B ELLOMO AND M.
Mass threshold for global existence in chemotaxis systems with critical flux limitation B ELLOMO AND M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:12.032719Z
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.
Observation ecd39edb-b1b5-4f9e-a9de-5f33868b9516 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:12.024949Z
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.
Observation 09e96eec-95a4-4dfb-9dbc-d321b24f3f7f · outbound
This paper cites BILER , G.
Mass threshold for global existence in chemotaxis systems with critical flux limitation BILER , G
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:12.016351Z
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.
Observation 62749508-7830-45a3-824a-34b55e0d4246 · outbound
This paper cites F UHRMANN , J.
Mass threshold for global existence in chemotaxis systems with critical flux limitation F UHRMANN , J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:12.007693Z
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.
Observation 8546687e-d16d-4ee4-9f72-aadc5c71d4d0 · outbound
This paper cites JÄGER AND S.
Mass threshold for global existence in chemotaxis systems with critical flux limitation JÄGER AND S
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.999745Z
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.
Observation 664c0703-d222-4a62-8518-3091434255e6 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.991246Z
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.
Observation 62c69068-d7f7-4009-9415-c03f20b4e2c4 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.982885Z
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.
Observation e8b0ab33-7607-4aff-82bb-c6da7d9feb00 · outbound
This paper cites K OHATSU , Finite-time blow-up of weak solutions to a chemotaxis system with gradient dependent chemotactic sensitivity, J.
Mass threshold for global existence in chemotaxis systems with critical flux limitation K OHATSU , Finite-time blow-up of weak solutions to a chemotaxis system with gradient dependent chemotactic sensitivity, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.974601Z
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.
Observation 8af68f78-9fd6-4af5-9497-4441b10458b4 · outbound
This paper cites K OHATSU AND T.
Mass threshold for global existence in chemotaxis systems with critical flux limitation K OHATSU AND T
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.966576Z
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.
Observation 89210ffe-c65f-4266-9878-2b78d3ab512c · outbound
This paper cites K OHATSU AND T.
Mass threshold for global existence in chemotaxis systems with critical flux limitation K OHATSU AND T
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.958451Z
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.
Observation f03708a0-4675-416b-835e-712f64002566 · outbound
This paper cites LI AND W.
Mass threshold for global existence in chemotaxis systems with critical flux limitation LI AND W
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.950298Z
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.
Observation 8471a01d-37e7-4f37-932a-6bb7dfd666d5 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.942230Z
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.
Observation db0a57c2-6012-408b-9ed0-d08908458841 · outbound
This paper cites M AO AND Y.
Mass threshold for global existence in chemotaxis systems with critical flux limitation M AO AND Y
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.934380Z
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.
Observation 5fca0d17-fdec-4a63-84c7-6a663b81933c · outbound
This paper cites A note on the $8\pi$ problem of J\"ager-Luckhaus system.
Mass threshold for global existence in chemotaxis systems with critical flux limitation A note on the $8\pi$ problem of J\"ager-Luckhaus system
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:09:10.438969Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a9e5ffb-2fc5-446e-ba7f-a2f6546b1ef1 · outbound
This paper cites Critical mass for finite-time chemotactic collapse in the critical dimension via comparison.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Critical mass for finite-time chemotactic collapse in the critical dimension via comparison
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T14:09:11.753840Z
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.
Observation 02ef4bb6-1350-4a1f-b0b2-9482e8983d3f · outbound
This paper cites M ARRAS , S.
Mass threshold for global existence in chemotaxis systems with critical flux limitation M ARRAS , S
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.925398Z
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.
Observation 5c4e019b-9b4a-4d14-beda-f6ebbbb9bdf2 · outbound
This paper cites NAGAI , Blow-up of radially symmetric solutions to a chemotaxis system , Adv.
Mass threshold for global existence in chemotaxis systems with critical flux limitation NAGAI , Blow-up of radially symmetric solutions to a chemotaxis system , Adv
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.917904Z
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.
Observation b24063d9-1201-463d-a3a5-e9f05eb9a413 · outbound
This paper cites NAGAI , T.
Mass threshold for global existence in chemotaxis systems with critical flux limitation NAGAI , T
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.909161Z
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.
Observation 6c46b4b0-a1db-4404-a242-f50e9f3f973b · outbound
This paper cites N EGREANU AND J.
Mass threshold for global existence in chemotaxis systems with critical flux limitation N EGREANU AND J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.900677Z
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.
Observation 1f2a168f-10e9-489a-8b40-c8f78a4230fb · outbound
This paper cites P ERTHAME , N.
Mass threshold for global existence in chemotaxis systems with critical flux limitation P ERTHAME , N
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.892687Z
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.
Observation aa0e1f7e-b999-40f1-b320-abd7e310cb80 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.884691Z
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.
Observation 4882504e-f9f9-4d5e-9388-7fa3d1c7bc32 · outbound
This paper cites SUZUKI , Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part, J.
Mass threshold for global existence in chemotaxis systems with critical flux limitation SUZUKI , Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.877117Z
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.
Observation e3448383-2c7e-4180-899d-ae89860b169a · outbound
This paper cites TAO AND M.
Mass threshold for global existence in chemotaxis systems with critical flux limitation TAO AND M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.868563Z
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.
Observation d5a01192-c3e6-40f5-ac7e-d37dd43c09b6 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.859982Z
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.
Observation fa2d2605-fa4c-4367-a990-6f1ab6f9cb8c · outbound
This paper cites Differential Equations, 423 (2025), pp.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Differential Equations, 423 (2025), pp
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.851533Z
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.
Observation e36c25f1-d4ae-487f-b37a-38960f962e02 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.842778Z
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.
Observation 15e5479e-0a68-4853-947f-a2c90e5ea758 · outbound
This paper cites WANG AND Y.
Mass threshold for global existence in chemotaxis systems with critical flux limitation WANG AND Y
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.834101Z
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.
Observation 8f13d5c6-2646-40cb-9084-b1219d90f081 · outbound
This paper cites WANG AND M.
Mass threshold for global existence in chemotaxis systems with critical flux limitation WANG AND M
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.826128Z
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.
Observation 184dd376-26da-4802-ab9a-faae388dc6c8 · outbound
This paper cites W INKLER , A critical blow-up exponent in a chemotaxis system with nonlinear signal production, Nonlinearity, 31 (2018), pp.
Mass threshold for global existence in chemotaxis systems with critical flux limitation W INKLER , A critical blow-up exponent in a chemotaxis system with nonlinear signal production, Nonlinearity, 31 (2018), pp
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.817711Z
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.
Observation dc6a32f9-c1fe-4f53-8dfa-f21d5056b2bf · outbound
This paper cites Ann., 373 (2019), pp.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Ann., 373 (2019), pp
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.808131Z
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.
Observation 3e1f5147-dc7e-4d91-8ae3-22e6f3b5d692 · outbound
This paper cites an unresolved cited work.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:09:11.799406Z
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.
Observation a33856df-0cab-4725-b6f6-627a6ffbedcd · outbound
This paper cites Nachr., 295 (2022), pp.
Mass threshold for global existence in chemotaxis systems with critical flux limitation Nachr., 295 (2022), pp
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.790480Z
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.
Observation 45f18fe7-6db7-458b-bcb6-21d26df1e614 · outbound
This paper cites W INKLER , Effects of degeneracies in taxis-driven evolution, Math.
Mass threshold for global existence in chemotaxis systems with critical flux limitation W INKLER , Effects of degeneracies in taxis-driven evolution, Math
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.781945Z
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.
Observation e751ce69-80df-431a-80e2-5c147eeb993a · outbound
This paper cites YAN AND Y.
Mass threshold for global existence in chemotaxis systems with critical flux limitation YAN AND Y
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:09:11.773136Z
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.
Pith citing papers
No inbound Pith citation observations are available.