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Paper Citation Record · LEDGER

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo

As of 9 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2509.08619.

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

pith.paper-citation-record.v1
2509.08619 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:29:48.474780Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:58:02.454609Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

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  • unresolved16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d081d7b-04e4-49df-b9c5-253402817447 · outbound

This paper cites Ahle,Sharp and simple bounds for the raw moments of the binomial and Poisson distributions, Statistics & Probability Letters182(2022), 109306.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Ahle,Sharp and simple bounds for the raw moments of the binomial and Poisson distributions, Statistics & Probability Letters182(2022), 109306

Reference 1

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no resolver link, observed 2026-08-04T20:29:48.417364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c0f1fbac-eca0-4151-bb27-9f698785686d · outbound

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

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds

Reference 2

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no resolver link, observed 2026-08-04T20:29:48.421120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.421120Z digest=sha256:2a33b481a00b86cdc3be35ba155422d244980bcbd89a9a058d0256b2101f1a99

Observation 5912764c-26a8-46fb-b30c-13a5766d8fd1 · outbound

This paper cites Brunick and S.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Brunick and S

Reference 3

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no resolver link, observed 2026-08-04T20:29:48.424964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.424964Z digest=sha256:46c24978ccca61a79302aad7b31f4b539293132142ae1651d646afd0c1b70030

Observation 5e63a0a6-030d-4628-bba5-32d4a67b74db · outbound

This paper cites Convergence of Unadjusted Langevin in High Dimensions: Delocalization of Bias.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Convergence of Unadjusted Langevin in High Dimensions: Delocalization of Bias

Reference 4

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no resolver link, observed 2026-08-04T20:29:48.428320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.428320Z digest=sha256:56421325ef367da9b84276e3f7cc25897e67b9fad39c5bd8e7290eb60166f0b7

Observation 830233d8-3719-405d-8646-1416330cba9f · outbound

This paper cites Chewi,Log-concave sampling, Book draft available at https://chewisinho.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Chewi,Log-concave sampling, Book draft available at https://chewisinho

Reference 5

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no resolver link, observed 2026-08-04T20:29:48.432658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.432658Z digest=sha256:16e52c7fe40cd893cfe497858cdde9f1c74abca36357b5818ffae6c057c38892

Observation a30cd3ae-46b7-4311-9e02-23da955e62b7 · outbound

This paper cites an unresolved cited work.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Unresolved cited work

Reference 6

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no resolver link, observed 2026-08-04T20:29:48.436311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.436311Z digest=sha256:4371e4f479518263f1935aba5e95765fa899d9436b0d119c9040c56d9b651564

Observation 15283e50-62d5-4ba6-b0e1-2b393236849b · outbound

This paper cites Durmus and A.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Durmus and A

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.440006Z digest=sha256:48cd4e6857a0306b5407dfddb0987e5c311d982807c560e37b0edbd5856635e2

Observation 5fb8fd92-c280-4c16-8cce-b7e5854817f1 · outbound

This paper cites Erdos, B.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Erdos, B

Reference 8

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no resolver link, observed 2026-08-04T20:29:48.443969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.443969Z digest=sha256:90f54540d1794cadaab06dfbe40baac327c08970284dc70c4882e3e2d97b07c1

Observation 77b853af-0a3d-44f6-be0c-38b580adee8e · outbound

This paper cites Lacker,Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions, Probability and Mathematical Physics4(2023), no.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Lacker,Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions, Probability and Mathematical Physics4(2023), no

Reference 9

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no resolver link, observed 2026-08-04T20:29:48.447819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.447819Z digest=sha256:d0d799132fa74cdfb6111fd96d1f3439545f29e45191008e9c8102027a334274

Observation c49d22f6-6494-45bf-9683-1fd4d8783eaa · outbound

This paper cites Lacker and L.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Lacker and L

Reference 10

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unresolved
no resolver link, observed 2026-08-04T20:29:48.452116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.452116Z digest=sha256:bc0b9276bd7f6d0364c296da6dc0e327d1dc83df89637424eca14c9ad0ee088e

Observation 3ba344f5-fd75-42d0-94a5-e742eee01e0a · outbound

This paper cites Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation

Reference 11

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unresolved
no resolver link, observed 2026-08-04T20:29:48.455900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.455900Z digest=sha256:eb8ea8f8c7db0c912c3622e0b109d6823b3e409ce54380bf78399b9b6be4c429

Observation 19e19e58-3bf5-4098-9679-36d9bd3add3d · outbound

This paper cites Negrea,Approximations and scaling limits of Markov chains with applications to MCMC and approximate inference, Ph.D.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Negrea,Approximations and scaling limits of Markov chains with applications to MCMC and approximate inference, Ph.D

Reference 12

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no resolver link, observed 2026-08-04T20:29:48.459849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.459849Z digest=sha256:2f7a1458c7a2c3b15a1b22a8144e6a32a26ccf21e3e004a519a72a499e2f6b48

Observation f05e5bd9-4f17-4d70-b1d9-4652bddb0e86 · outbound

This paper cites Otto and C.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Otto and C

Reference 13

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unresolved
no resolver link, observed 2026-08-04T20:29:48.463920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.463920Z digest=sha256:3b80596d7c38545f7363321d2d9bb3624824fa97b30bcc3b9b278c2c0218e622

Observation 0f2e068e-0a10-4ec7-b7ae-249bde72b1d1 · outbound

This paper cites Shou and R.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Shou and R

Reference 14

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unresolved
no resolver link, observed 2026-08-04T20:29:48.467852Z

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source=pdf_text observed=2026-08-04T20:29:48.467852Z digest=sha256:6daf89bd7e5bbcd5c58b34a5fdf6061f275221012c43b3983af2d577231f69ab

Observation 36784156-39ed-4d32-a2a1-4915642473c9 · outbound

This paper cites Vempala and A.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Vempala and A

Reference 15

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source=pdf_text observed=2026-08-04T20:29:48.471289Z digest=sha256:17fb79499452ceedd7c2caa79d51695038f999de8b5d07ba5cc65fa9f6ef3d16

Observation e3b9ef6e-92fa-4d30-89b4-06fa63938538 · outbound

This paper cites Villani,Topics in optimal transportation, vol.

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo Villani,Topics in optimal transportation, vol

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:29:48.474780Z digest=sha256:6a876fe6ff63027f3a3206d365d6646c17cab777e131254911fd61c5fd45744d

Pith citing papers

Observation 30c29c94-1d7a-417a-96c3-5cfcac8f56fb · inbound

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin cites this paper.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-01T23:58:02.454609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:58:02.454609Z digest=sha256:ae2d5fafc3870066b97ba60708fa9dfe2b851c0adf8446d1eaaef7ac781e8928