Paper Citation Record · LEDGER

Shifted Composition III: Local Error Framework for KL Divergence

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 4 inbound Pith citation observations for arXiv:2412.17997.

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

pith.paper-citation-record.v1
2412.17997 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:16:05.867430Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:38:42.833138Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-10T06:15:00.866473Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy17
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0015fa26-6ea3-4e32-ac33-80e7083845c1 · outbound

This paper cites On the privacy of noisy stochastic gradient descent for convex optimization.

Shifted Composition III: Local Error Framework for KL Divergence On the privacy of noisy stochastic gradient descent for convex optimization

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.144747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9c03db4e-7c18-4f4e-b9cb-c1c141f2adf4 · outbound

This paper cites KL Convergence Guarantees for Score diffusion models under minimal data assumptions.

Shifted Composition III: Local Error Framework for KL Divergence KL Convergence Guarantees for Score diffusion models under minimal data assumptions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T05:16:05.815589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aae9f60-d7b5-4c95-9ff2-e455dd9c4390 · outbound

This paper cites Complexity of randomized algorithms for underdamped Langevin dynamics.

Shifted Composition III: Local Error Framework for KL Divergence Complexity of randomized algorithms for underdamped Langevin dynamics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.098606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6904c092-2ca9-468e-bd0d-f89c2fa5d18c · outbound

This paper cites Parallelized Midpoint Randomization for Langevin Monte Carlo.

Shifted Composition III: Local Error Framework for KL Divergence Parallelized Midpoint Randomization for Langevin Monte Carlo

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T05:16:05.867430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2a1f70c-796e-4e57-ac22-aaeeb359c088 · outbound

This paper cites The Poisson midpoint method for Langevin dynamics: provably efficient discretization for diffusion models.

Shifted Composition III: Local Error Framework for KL Divergence The Poisson midpoint method for Langevin dynamics: provably efficient discretization for diffusion models

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T05:16:05.834758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e077be3-f88a-4cd9-a01a-4cd20a1f9b1d · outbound

This paper cites The distance between two random vectors with given dispersion matrices.

Shifted Composition III: Local Error Framework for KL Divergence The distance between two random vectors with given dispersion matrices

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.028413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7005d151-6919-46a6-b6bc-7774e9bd0dbd · outbound

This paper cites Strong data processing inequalities and Φ-Sobolev inequalities for discrete channels.

Shifted Composition III: Local Error Framework for KL Divergence Strong data processing inequalities and Φ-Sobolev inequalities for discrete channels

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.018712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e6648f2d-9122-4ff0-9ba6-9bb4d0a46e0e · outbound

This paper cites The variational formulation of the Fokker– Planck equation.

Shifted Composition III: Local Error Framework for KL Divergence The variational formulation of the Fokker– Planck equation

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.079327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa7914ed-acb1-4324-aa29-ccd7f1e1e62b · outbound

This paper cites Cambridge University Press, 2018, p.

Shifted Composition III: Local Error Framework for KL Divergence Cambridge University Press, 2018, p

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:05.998348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f19b32de-ff29-4c1d-9657-d9a1c0198d2c · outbound

This paper cites 2022, pp.

Shifted Composition III: Local Error Framework for KL Divergence 2022, pp

Reference 167

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.059369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1c9a4d55-01cf-4001-9fa8-9ae56a9353f2 · outbound

This paper cites Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below.

Shifted Composition III: Local Error Framework for KL Divergence Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below

Reference 195

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.134913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a49b2373-b996-419b-be6f-3d6a3e9df737 · outbound

This paper cites Switzerland: Springer, 2016, p.

Shifted Composition III: Local Error Framework for KL Divergence Switzerland: Springer, 2016, p

Reference 274

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.068873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4c4e90d8-287e-4d66-9e21-b749c4dbd744 · outbound

This paper cites R´ enyi divergence and Kullback–Leibler divergence.

Shifted Composition III: Local Error Framework for KL Divergence R´ enyi divergence and Kullback–Leibler divergence

Reference 284

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:05.988790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4a9f382-b85a-4e83-b2aa-769cfd58c01b · outbound

This paper cites The shifted ODE method for underdamped Langevin MCMC.

Shifted Composition III: Local Error Framework for KL Divergence The shifted ODE method for underdamped Langevin MCMC

Reference 532

Resolution: unresolved; no resolver link, observed 2026-08-11T05:16:05.828175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bee7f998-bfdf-4a7e-9694-522953852126 · outbound

This paper cites Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds.

Shifted Composition III: Local Error Framework for KL Divergence Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds

Reference 1001

Resolution: unresolved; no resolver link, observed 2026-08-11T05:16:05.801121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76ea5e9f-fa52-43d9-ba20-46034e8e4d4b · outbound

This paper cites The randomized midpoint method for log-concave sampling.

Shifted Composition III: Local Error Framework for KL Divergence The randomized midpoint method for log-concave sampling

Reference 1991

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.008673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ebeeb9b7-8bf2-4ef6-9bb7-48813899642b · outbound

This paper cites Analysis of Langevin Monte Carlo via convex optimization.

Shifted Composition III: Local Error Framework for KL Divergence Analysis of Langevin Monte Carlo via convex optimization

Reference 1999

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.089256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c59bc82e-55e7-4c6a-b450-d3b7cf19bccb · outbound

This paper cites Une propri´ et´ e topologique des sous-ensembles analytiques r´ eels.

Shifted Composition III: Local Error Framework for KL Divergence Une propri´ et´ e topologique des sous-ensembles analytiques r´ eels

Reference 2001

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.051086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ae677c6c-1303-4bbf-b760-d3e6d322d0fc · outbound

This paper cites Criteria for recurrence and existence of invariant measures for multidimensional diffusions.

Shifted Composition III: Local Error Framework for KL Divergence Criteria for recurrence and existence of invariant measures for multidimensional diffusions

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.117113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c0f1f4a3-899d-4544-b391-63a17d9029ca · outbound

This paper cites R´ enyi differential privacy.

Shifted Composition III: Local Error Framework for KL Divergence R´ enyi differential privacy

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.039347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 58ae4434-2072-4151-ac3e-fa317734701b · outbound

This paper cites Analysis of Langevin Monte Carlo from Poincar´ e to log-Sobolev.

Shifted Composition III: Local Error Framework for KL Divergence Analysis of Langevin Monte Carlo from Poincar´ e to log-Sobolev

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.107408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d6c1ed66-7d06-40cc-9e28-2ad07e646367 · outbound

This paper cites Hypercontractivity of Hamilton–Jacobi equations.

Shifted Composition III: Local Error Framework for KL Divergence Hypercontractivity of Hamilton–Jacobi equations

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:16:06.126073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation e69de561-13f7-42c4-a120-e07652773eda · inbound

When Langevin Monte Carlo Meets Randomization: New Sampling Algorithms with Non-asymptotic Error Bounds beyond Log-Concavity and Gradient Lipschitzness cites this paper.

When Langevin Monte Carlo Meets Randomization: New Sampling Algorithms with Non-asymptotic Error Bounds beyond Log-Concavity and Gradient Lipschitzness Shifted Composition III: Local Error Framework for KL Divergence

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-18T13:06:23.637259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 602e3481-4227-41d3-a220-55a6d01019bd · inbound

Multimodal sampling via Schr\"odinger-F\"ollmer samplers with temperatures cites this paper.

Multimodal sampling via Schr\"odinger-F\"ollmer samplers with temperatures Shifted Composition III: Local Error Framework for KL Divergence

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T13:38:42.833138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25786580-7ee0-42f3-b085-c37806760d25 · inbound

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data cites this paper.

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data Shifted Composition III: Local Error Framework for KL Divergence

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-05-13T05:57:21.652494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7842525d-7376-4942-a434-f936955c1c9b · inbound

Accelerated Schr\"odinger-F\"ollmer samplers cites this paper.

Accelerated Schr\"odinger-F\"ollmer samplers Shifted Composition III: Local Error Framework for KL Divergence

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T16:25:49.616803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.