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Paper Citation Record · LEDGER

Existence of finite time blow-up in Keller-Segel system

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2312.01475.

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

pith.paper-citation-record.v1
2312.01475 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:42:40.182154Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:56:23.839887Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4f3ff6b8-8230-4420-88ad-32ff0b62551a · inbound

Nonradial stability of self-similar blowup to Keller-Segel equation in three dimensions cites this paper.

Nonradial stability of self-similar blowup to Keller-Segel equation in three dimensions Existence of finite time blow-up in Keller-Segel system

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T20:53:14.434780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:53:14.434780Z digest=sha256:c7bf7f600c612c6756611cc2eff742a46ed3428f00f44bd24ebc45c2a3513d3a

Observation bce2ea71-4780-40bd-b28f-0f25f32beb9f · inbound

Finite time blowup for Keller-Segel equation with logistic damping in three dimensions cites this paper.

Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Existence of finite time blow-up in Keller-Segel system

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T12:42:40.182154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:42:40.182154Z digest=sha256:015078061cb68761b88cda8687661e8f241e4f82ef315d556799b9d6415cba55

Observation c602cad1-ad43-41e9-a635-251ab700e5c3 · inbound

Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system cites this paper.

Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system Existence of finite time blow-up in Keller-Segel system

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T21:48:36.390748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:48:36.390748Z digest=sha256:ff895fd1e9a247f4bb020be3da38cbf6d04b8cdeca310c4411a801f1bd10301f

Observation 93800345-9d0a-43c9-ac07-08515bf0df4f · inbound

Refined temporal asymptotics near blow-up points in the planar Keller-Segel system cites this paper.

Refined temporal asymptotics near blow-up points in the planar Keller-Segel system Existence of finite time blow-up in Keller-Segel system

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-10T14:25:30.276543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-10T14:21:23.246081Z digest=sha256:bb7137e791bf3819942fe9793cdc39caeeb0f8b5d791fbdf9a71c77abc207ffd

Observation 96516673-6b2e-4ef9-a623-3e404f55c869 · inbound

Critical mass threshold for the 2D Patlak-Keller-Segel-Navier-Stokes system cites this paper.

Critical mass threshold for the 2D Patlak-Keller-Segel-Navier-Stokes system Existence of finite time blow-up in Keller-Segel system

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-01T23:56:23.841702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T13:48:48.772759Z digest=sha256:58b1ddd8fc177d3a467fdeefedb9067b5e5b99c7e7eafc1549988c8d1ff02d28