Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T22:27:18.541038Z
Paper Citation Record · LEDGER
On the exponential convergence to equilibrium for ultrafast diffusion equations
As of 21 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2509.07382.
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 2026-08-21T06:32:19.484+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
8 of 8 outbound references displayed
- verified exact1
- verified fuzzy6
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0baee625-dca7-4263-8216-674580ab04dd · outbound
This paper cites Invariances in variance estimates.
On the exponential convergence to equilibrium for ultrafast diffusion equations Invariances in variance estimates
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T22:27:18.649740Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 30b0755f-ee83-4134-8259-6ef30ffe90e6 · outbound
This paper cites Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities.
On the exponential convergence to equilibrium for ultrafast diffusion equations Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T22:27:18.639338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 59f586d1-febc-465a-b0e4-fe5fdb8de526 · outbound
This paper cites Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods.
On the exponential convergence to equilibrium for ultrafast diffusion equations Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T22:27:18.627842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d8d2b482-3796-4ffb-ae64-643bfaebed4e · outbound
This paper cites Intertwinings, second-order brascamp--lieb inequalities and spectral estimates.
On the exponential convergence to equilibrium for ultrafast diffusion equations Intertwinings, second-order brascamp--lieb inequalities and spectral estimates
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T22:27:18.617025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f2351924-e139-4c5e-8dca-391605162be6 · outbound
This paper cites an unresolved cited work.
On the exponential convergence to equilibrium for ultrafast diffusion equations Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T22:27:18.606674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fb7368fd-3199-40ce-8f5c-901c482653f8 · outbound
This paper cites Exponential convergence for ultrafast diffusion equations with log-concave weights.
On the exponential convergence to equilibrium for ultrafast diffusion equations Exponential convergence for ultrafast diffusion equations with log-concave weights
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T22:27:18.574072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e31905b3-4fc7-4e83-876f-a84fea1f37f7 · outbound
This paper cites Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem.
On the exponential convergence to equilibrium for ultrafast diffusion equations Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T22:27:18.596000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dfe142a8-4c58-46c2-bcd7-400eec5c9618 · outbound
This paper cites Patacchini, and Filippo Santambrogio.
On the exponential convergence to equilibrium for ultrafast diffusion equations Patacchini, and Filippo Santambrogio
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T22:27:18.585040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.