Paper Citation Record · LEDGER

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds

As of 13 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2412.05298.

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

pith.paper-citation-record.v1
2412.05298 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:41:56.471205Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact1
verified fuzzy7
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 04717f5e-340c-483a-9fac-bcb5cff00e76 · outbound

This paper cites (2011): 29-201.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds (2011): 29-201

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.717360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ea00a730-2eca-407c-a07f-d0d41516c8c0 · outbound

This paper cites an unresolved cited work.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-12T13:41:56.570038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d64ead66-c2e7-4da3-aef6-d1e17695e32e · outbound

This paper cites ”The Landau equation in a periodic box.” Communications in mathemat- ical physics 231 (2002): 391-434.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds ”The Landau equation in a periodic box.” Communications in mathemat- ical physics 231 (2002): 391-434

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T13:41:56.418840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e3495dd-e0f0-45de-9005-471bab2fc64b · outbound

This paper cites ”A review of mathematical topics in collisional kinetic theory.” Hand- book of mathematical ﬂuid dynamics 1 .71-305 (2002): 3-8.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds ”A review of mathematical topics in collisional kinetic theory.” Hand- book of mathematical ﬂuid dynamics 1 .71-305 (2002): 3-8

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.699266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f6a3aaf0-afec-4c8b-9526-b025c882559c · outbound

This paper cites ”Entropy dissipation and long- range inter- actions.” Archive for rational mechanics and analysis 152 (2000): 327-355.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds ”Entropy dissipation and long- range inter- actions.” Archive for rational mechanics and analysis 152 (2000): 327-355

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.678404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8883667a-5593-4b21-88da-ef94535a1735 · outbound

This paper cites ”Almost exponential decay near Maxwellian.” Communications in Partial Diﬀerential Equations 31.3 (2006): 417-429.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds ”Almost exponential decay near Maxwellian.” Communications in Partial Diﬀerential Equations 31.3 (2006): 417-429

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.658823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d99883a1-2ba5-4071-97cc-e9bd6642199a · outbound

This paper cites The boltzmann equation.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds The boltzmann equation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.637839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0554b084-9319-43f4-ba37-0418de6107ca · outbound

This paper cites ”The local structure of turbu lence in incompress- ible viscous ﬂuid for very large Reynolds.” Numbers.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds ”The local structure of turbu lence in incompress- ible viscous ﬂuid for very large Reynolds.” Numbers

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.618187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80ce8f1e-b1ea-44af-871e-5e93998d3911 · outbound

This paper cites ”Dispersion of soluble matter in solvent ﬂowing slowly th ough a tube.” Prec.

Curvature-Enhanced Dynamics and Exponential Decay of the Non-Cutoff Boltzmann Equation on Riemannian Manifolds ”Dispersion of soluble matter in solvent ﬂowing slowly th ough a tube.” Prec

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:41:56.599033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.