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Paper Citation Record · LEDGER

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics

As of 17 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2506.12203.

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

pith.paper-citation-record.v1
2506.12203 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:06:22.022074Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:14:59.466122Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:15:01.374851Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy3
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ef6933e6-4928-43c4-a3e6-b6c4685ed76f · outbound

This paper cites Privacy-preserving data release leveraging optimal transport and particle gradient descent.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Privacy-preserving data release leveraging optimal transport and particle gradient descent

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:06:22.163760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T01:06:21.985802Z digest=sha256:b3c8f0d5f1426f0091c78b05c67ff47f3b636b00f57d460a5ca4dadbcd8a5df6

Observation 6de9c176-b2b7-4658-9b1a-799b5ce04817 · outbound

This paper cites Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Training.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Training

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:06:22.126346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T01:06:21.996376Z digest=sha256:b7ae72986ef1a2648f91566fe39debb9668e143ac2433519860b8efd65c9f043

Observation 93eae83b-fbe9-4ecd-9c1d-43e4ad18d7da · outbound

This paper cites From the Schr ¨odinger problem to the MongeKantorovich problem.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics From the Schr ¨odinger problem to the MongeKantorovich problem

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:06:22.186512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T01:06:22.004401Z digest=sha256:b1f10d858e349cf110f5fab7141f0e19100ec78cfc9eaa90a907d450142a2caa

Observation 6cb0fb18-0b66-492b-bca9-9cb984ad797f · outbound

This paper cites Simulation-free Schr\"odinger bridges via score and flow matching.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Simulation-free Schr\"odinger bridges via score and flow matching

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:22.014837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:22.014837Z digest=sha256:09ef9f554c0fe62d28c0a1c22033267525f32f1f520a01221467ced0e33683ec

Observation a4227976-cc00-45e7-9ae5-78bc51d28a66 · outbound

This paper cites Differentially Private Generative Adversarial Network.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Differentially Private Generative Adversarial Network

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:22.018174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:22.018174Z digest=sha256:7b366c6b1dfcb9f1358c1cff6d47b1cefbcabd59eea8752fc28307bcfe6587eb

Observation f9637748-2e27-4f19-b23b-8dc4377668b4 · outbound

This paper cites Learning Density Evolution from Snapshot Data.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Learning Density Evolution from Snapshot Data

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:22.022074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:22.022074Z digest=sha256:690125546f5496e93ea7bebababeb3067b81cb8fac1766cf0a8f20764f93c1c2

Observation 8561303b-8abf-4848-a5eb-e313eeb34f71 · outbound

This paper cites Deep learning with gaussian differential privacy.Harvard data science review, 2020(23):10–1162,.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Deep learning with gaussian differential privacy.Harvard data science review, 2020(23):10–1162,

Reference 2007

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:06:22.196715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T01:06:21.978592Z digest=sha256:c0939c5b507f9961f6e0d032ffbd27a8f18968a55838e28c1729205f90b4645a

Observation d27bfcb1-6bbe-444e-bc30-2fa48a7cebbb · outbound

This paper cites Brendan McMahan, Ilya Mironov, Kunal Talwar, and Li Zhang.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Brendan McMahan, Ilya Mironov, Kunal Talwar, and Li Zhang

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:06:22.207522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T01:06:21.975006Z digest=sha256:ccbeb033225c4aa109d538829dba684825dd536ac738fe8c21db52c0fcf9f8a0

Observation d53352eb-9e65-4040-9290-c3b487617d0d · outbound

This paper cites LinkedIn's Audience Engagements API: A Privacy Preserving Data Analytics System at Scale.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics LinkedIn's Audience Engagements API: A Privacy Preserving Data Analytics System at Scale

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:22.008050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:22.008050Z digest=sha256:bef65d457c47f87d91a25e6eef30282f6e8b46d74c8bfb03564fb126b3c08a30

Observation 3ab93f0c-565e-4c26-a5be-9aa4fcd44fbc · outbound

This paper cites Multi-marginal Schr\"odinger Bridges with Iterative Reference Refinement.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Multi-marginal Schr\"odinger Bridges with Iterative Reference Refinement

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:22.011497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:22.011497Z digest=sha256:0367922d86b1d88e34271941f47e7681c5a2ee79b1587cf0c722942829110079

Observation 19fcb994-ce9b-4025-aaba-413f4b133fdb · outbound

This paper cites Uniform-in-$N$ log-Sobolev inequality for the mean-field Langevin dynamics with convex energy.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Uniform-in-$N$ log-Sobolev inequality for the mean-field Langevin dynamics with convex energy

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:21.982207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:21.982207Z digest=sha256:72e98b2d2fafcdb4967eb701b5f357a41d82d0559cf8e8fa3b152aadae75ec4d

Observation 895c84d0-2b94-473e-ba75-36925f275f4b · outbound

This paper cites LDPTrace: Locally Differentially Private Trajectory Synthesis.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics LDPTrace: Locally Differentially Private Trajectory Synthesis

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:21.989017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:21.989017Z digest=sha256:dacb46bb22dc2a520a60f030eafe552f6e3d557f312d7663a89edfd8e9e8643c

Observation 65ac214e-6ecf-4974-a679-d4a593bd89e9 · outbound

This paper cites Differentially Private Release of Israel's National Registry of Live Births.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Differentially Private Release of Israel's National Registry of Live Births

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:22.000079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:22.000079Z digest=sha256:ac62297dbd12f4f345af8154959cd67f8ed84734e10dfd0da3b675465003d3dd

Observation 4cc00b5d-3352-483b-927e-035afa777661 · outbound

This paper cites Mirror Mean-Field Langevin Dynamics.

Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics Mirror Mean-Field Langevin Dynamics

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-07T01:06:21.992796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:06:21.992796Z digest=sha256:d2395c22d610a18c5580227c4acbed3ead6bd98a5a56d5784f922b5e91f2e70d

Pith citing papers

Observation fc621c3a-ad11-4b8b-886b-20038d2d57d7 · inbound

Convergence Rate of the Solution of Multi-marginal Schrodinger Bridge Problem with Marginal Constraints from SDEs cites this paper.

Convergence Rate of the Solution of Multi-marginal Schrodinger Bridge Problem with Marginal Constraints from SDEs Private Continuous-Time Synthetic Trajectory Generation via Mean-Field Langevin Dynamics

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:15:01.422693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T18:14:59.466122Z digest=sha256:72d89817e3a977fed9e0b07fba8bc8eaf5a258db289d78b3d6b698323fa949ce