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Paper Citation Record · LEDGER

Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2212.07655.

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

pith.paper-citation-record.v1
2212.07655 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:55:25.380075Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T18:04:58.181172Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
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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 897c4027-7fb7-41e2-a585-cf076c56a13b · inbound

Analysis of fully discrete Crank-Nicolson finite element methods for a stochastic Keller-Segel chemotaxis system with gradient-type multiplicative noise cites this paper.

Analysis of fully discrete Crank-Nicolson finite element methods for a stochastic Keller-Segel chemotaxis system with gradient-type multiplicative noise Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T15:52:31.741590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:52:31.741590Z digest=sha256:78be9c356b81f6cbb32f890ce08bb269798e99b835dfb9797d87170124122526

Observation 5ebbf6f4-8821-4d36-a612-900bc5779a0a · inbound

A posteriori existence for the Keller-Segel model via a finite volume - finite element scheme cites this paper.

A posteriori existence for the Keller-Segel model via a finite volume - finite element scheme Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T15:55:25.380075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:55:25.380075Z digest=sha256:ea6753bc37fda026204b12b6f6e003dc0c2e50bc8d8777646d9c9b2492079e72

Observation 5b829c30-253f-44f8-8ba5-50c35db54f49 · inbound

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model cites this paper.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-20T03:18:00.041174Z

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.

source=pdf_text observed=2026-05-20T03:17:08.877661Z digest=sha256:1757af861f6eb73b8c80f1133059a6c1ba5d0c0edc93b8f2eec6308a1dd19e57

Observation 460ac10a-ef7d-4273-9f1e-98be944ee3a4 · inbound

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model cites this paper.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.182827Z

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.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:176a129a39d71ffda3c55eba1f4160705ea8f76df723063f5a644c1fee8625a6