Paper Citation Record · LEDGER

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium

As of 17 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.10384.

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

pith.paper-citation-record.v1
2607.10384 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T12:08:40.947861Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:24:30.140289Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T00:24:30.679495Z

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy0
unresolved27
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7aa9dd86-81c2-49c8-908b-18bc123dd447 · outbound

This paper cites an unresolved cited work.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 515a8f8d-95a9-47ce-819d-4f38ac3f1b83 · outbound

This paper cites Bellomo, A.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Bellomo, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f95ddcdc-db09-42ae-8860-53d3cac53d0d · outbound

This paper cites Biler, Global solutions to some parabolic-elliptic systems of chemotaxis, Adv.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Biler, Global solutions to some parabolic-elliptic systems of chemotaxis, Adv

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1ed3e3c-ee5c-41ac-893b-0fbe7e914a27 · outbound

This paper cites Biler, G.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Biler, G

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 745354bb-4231-455c-9a47-3a666ed84789 · outbound

This paper cites Blanchet, J.A.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Blanchet, J.A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a533b2ba-9951-4eeb-9895-10e1b2824689 · outbound

This paper cites Blanchet, E.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Blanchet, E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c032ac42-dc39-49b0-a899-4299fe8d3e20 · outbound

This paper cites Blanchet, J.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Blanchet, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af546093-3506-4c93-b4f2-b3803c8de099 · outbound

This paper cites an unresolved cited work.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db500bd5-e395-4558-b555-fc555939487e · outbound

This paper cites Collot, T.-E.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Collot, T.-E

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 142caa8f-e539-404e-8608-fe317b989a46 · outbound

This paper cites Cygan, G.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Cygan, G

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d885b32b-7474-416b-85b1-94a5f9155c0d · outbound

This paper cites D´ avila, M.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium D´ avila, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c3f2922-c057-4986-b757-158b5738c5fe · outbound

This paper cites Friedlander, N.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Friedlander, N

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6beb2aa-d0bf-4d48-9dac-44c7d19b509f · outbound

This paper cites Glogi´ c, B.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Glogi´ c, B

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3da21979-8b65-43ee-842d-712bac78994d · outbound

This paper cites Guo, H.-J.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Guo, H.-J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 852efcae-470f-4dd0-becf-872486bf2c9e · outbound

This paper cites an unresolved cited work.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56d31475-92e6-4c14-9d47-fd959eb06278 · outbound

This paper cites L´ opez-G´ omez, T.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium L´ opez-G´ omez, T

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 045c8c40-94c5-45ce-9e64-071dad78b95b · outbound

This paper cites Majda, A.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Majda, A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d382dc5-95b5-4ea5-8812-306fbe1ba7dc · outbound

This paper cites Mizoguchi, Type II blowup in a doubly parabolic Keller–Segel system in two dimensions, J.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Mizoguchi, Type II blowup in a doubly parabolic Keller–Segel system in two dimensions, J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34446b4c-9dfc-4fc3-bf7b-179d144e166b · outbound

This paper cites Mizoguchi, Determination of blowup type in the parabolic–parabolic Keller–Segel system, Math.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Mizoguchi, Determination of blowup type in the parabolic–parabolic Keller–Segel system, Math

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77961f8b-6058-46e3-a1e1-96cec2e047cc · outbound

This paper cites Mizoguchi, Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system, J.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Mizoguchi, Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system, J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6913a7ec-01d9-4bd9-aaf8-c5055e20db0f · outbound

This paper cites Osaki, A.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Osaki, A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b9de251-5cc1-4f04-925a-09e174c6a4d1 · outbound

This paper cites Rapha¨ el, R.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Rapha¨ el, R

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb76cf32-f787-4c9e-918b-d6093926344a · outbound

This paper cites Schaaf, Stationary solutions of chemotaxis systems, Trans.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Schaaf, Stationary solutions of chemotaxis systems, Trans

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13d8b01f-7ade-4188-a8b7-ca6a746ac836 · outbound

This paper cites an unresolved cited work.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1de1c34e-8b55-4326-b74c-5387d5a4dd4a · outbound

This paper cites Winkler, Aggregation vs.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Winkler, Aggregation vs

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f347f78f-cba6-48f4-8b9b-e2ac477d2c70 · outbound

This paper cites Winkler, Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Winkler, Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation add6882c-f27a-48d7-961c-ab74ab4a5229 · outbound

This paper cites Winkler, How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phe- nomenon in two- and higher-dimensional parabolic-elliptic cases.

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium Winkler, How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phe- nomenon in two- and higher-dimensional parabolic-elliptic cases

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T12:08:40.947861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 79744360-b27f-4057-be00-5d782e30397b · inbound

The traveling wave solutions of the 1D hyperbolic Keller-Segel equations cites this paper.

The traveling wave solutions of the 1D hyperbolic Keller-Segel equations Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:24:30.686593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.