Paper Citation Record · LEDGER

Operator Forces For Coarse-Grained Molecular Dynamics

As of 23 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.19628.

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

pith.paper-citation-record.v1
2506.19628 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:37:36.852979Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

17 of 17 outbound references displayed

verified exact0
verified fuzzy9
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8fab3583-cd69-4847-b066-4ab12336dd31 · outbound

This paper cites an unresolved cited work.

Operator Forces For Coarse-Grained Molecular Dynamics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:37:37.140003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 996326bb-e156-4a05-9c6b-b7be2cc8556a · outbound

This paper cites For a lag time τ and configuration Rt at time t, a transition kernel can defined as κT Rt+τ| Rt.

Operator Forces For Coarse-Grained Molecular Dynamics For a lag time τ and configuration Rt at time t, a transition kernel can defined as κT Rt+τ| Rt

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:37.125756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 55018a88-62fa-4f5a-a50d-f0046acd840a · outbound

This paper cites At each layer the input x = (x1,x2) is partitioned into two blocks, and one block is transformed conditioned on the other: y1 = x1, y2 = li θ (x2|x1).

Operator Forces For Coarse-Grained Molecular Dynamics At each layer the input x = (x1,x2) is partitioned into two blocks, and one block is transformed conditioned on the other: y1 = x1, y2 = li θ (x2|x1)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:37.110914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d529f3c0-eef7-4852-941e-c75ad5ed89f7 · outbound

This paper cites an unresolved cited work.

Operator Forces For Coarse-Grained Molecular Dynamics Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:37:37.093965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f1624b7b-2bea-487a-8d1b-2c8b11f9a6f7 · outbound

This paper cites For the coupling flow (Timewarp) model, we retain the original architecture but repurpose it for the reverse noise kernel.

Operator Forces For Coarse-Grained Molecular Dynamics For the coupling flow (Timewarp) model, we retain the original architecture but repurpose it for the reverse noise kernel

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:37.079043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dda37f08-6bcf-423b-acb8-23d344eaec13 · outbound

This paper cites an unresolved cited work.

Operator Forces For Coarse-Grained Molecular Dynamics Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:37:37.064205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6ecea9d9-ad27-4901-b544-caa5ff44aefb · outbound

This paper cites an unresolved cited work.

Operator Forces For Coarse-Grained Molecular Dynamics Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:37:37.049405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation de0d3b92-a2d0-4a50-809b-af5d24f7e6c6 · outbound

This paper cites These model-derived forces can then be used to train any MLCG force matching framework, such as CGSchNet, en- tirely without requiring atomistic force labels.

Operator Forces For Coarse-Grained Molecular Dynamics These model-derived forces can then be used to train any MLCG force matching framework, such as CGSchNet, en- tirely without requiring atomistic force labels

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:37.034118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cb5d4b01-969a-4c7c-80c0-897fb6e49d04 · outbound

This paper cites We draw configuration pairs (Rt+τ ,Rt ) from the CG data distribution, ensuring they are separated by the same lag time τ used during training.

Operator Forces For Coarse-Grained Molecular Dynamics We draw configuration pairs (Rt+τ ,Rt ) from the CG data distribution, ensuring they are separated by the same lag time τ used during training

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:37.018031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9feda2c6-37c2-4523-b6ca-fe63cd57e0da · outbound

This paper cites an unresolved cited work.

Operator Forces For Coarse-Grained Molecular Dynamics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:37:37.000855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d56c25b7-ed99-40ac-95b8-ed6652914f6a · outbound

This paper cites All un- stable trajectories were excluded from our analysis.

Operator Forces For Coarse-Grained Molecular Dynamics All un- stable trajectories were excluded from our analysis

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:36.983949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7edcf484-2875-4891-9102-4e211da6b1ed · outbound

This paper cites an unresolved cited work.

Operator Forces For Coarse-Grained Molecular Dynamics Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:37:36.968836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 21711a5c-a821-4fbb-a5f6-46c152fe9f0f · outbound

This paper cites Ad- ditional Ramachandran plots for two further dipeptides are shown in fig.

Operator Forces For Coarse-Grained Molecular Dynamics Ad- ditional Ramachandran plots for two further dipeptides are shown in fig

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:36.953499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 96959e3f-f278-4bcd-9f81-8a4cc080f8c9 · outbound

This paper cites For further de- tails refer to Klein, Krämer, and Noe74 and Klein and Noé 75.

Operator Forces For Coarse-Grained Molecular Dynamics For further de- tails refer to Klein, Krämer, and Noe74 and Klein and Noé 75

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:36.938023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 36e3e975-36c3-4c06-8072-eba3e0ca7ff8 · outbound

This paper cites 68, with one key alteration for the denoising task: rather than predict- ing a time step, the model is trained to predict the denoising kernel.

Operator Forces For Coarse-Grained Molecular Dynamics 68, with one key alteration for the denoising task: rather than predict- ing a time step, the model is trained to predict the denoising kernel

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:37:36.921768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 986908cd-4f9f-4ec1-846f-94894a40a5fb · outbound

This paper cites Navigating protein landscapes with a machine-learned transferable coarse-grained model.

Operator Forces For Coarse-Grained Molecular Dynamics Navigating protein landscapes with a machine-learned transferable coarse-grained model

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T18:37:36.847520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 556342aa-0f24-4731-b2b2-7934c498c44f · outbound

This paper cites Stochastic Interpolants: A Unifying Framework for Flows and Diffusions.

Operator Forces For Coarse-Grained Molecular Dynamics Stochastic Interpolants: A Unifying Framework for Flows and Diffusions

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-15T18:37:36.852979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.