Paper Citation Record · LEDGER

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2505.01589.

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

pith.paper-citation-record.v1
2505.01589 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:22:40.417979Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:22:08.996725Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:22:10.659121Z

Reference resolution

24 of 24 outbound references displayed

verified exact1
verified fuzzy12
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f5cfee3-111e-4840-978b-a9cfa1ac7ccd · outbound

This paper cites Mini cheetah: A platform for pushing the limits of dynamic quadruped control,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Mini cheetah: A platform for pushing the limits of dynamic quadruped control,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.317339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24423de1-1c75-497f-8222-db70408e3bf0 · outbound

This paper cites RADIUS: Risk-Aware, Real-Time, Reachability-Based Motion Planning,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints RADIUS: Risk-Aware, Real-Time, Reachability-Based Motion Planning,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.806988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fdfe7ebe-ea45-4d4f-b343-81d25e664839 · outbound

This paper cites Dy- namic locomotion in the mit cheetah 3 through convex model- predictive control,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Dy- namic locomotion in the mit cheetah 3 through convex model- predictive control,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.793885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 31246f05-2a2b-4107-af9c-694d8f72f6c3 · outbound

This paper cites Optimization-based locomotion planning, estimation, and con- trol design for the atlas humanoid robot,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Optimization-based locomotion planning, estimation, and con- trol design for the atlas humanoid robot,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.780122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 77185b28-cebe-4c1b-af23-5f6ebbf06a5e · outbound

This paper cites Let's Make a Splan: Risk-Aware Trajectory Optimization in a Normalized Gaussian Splat.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Let's Make a Splan: Risk-Aware Trajectory Optimization in a Normalized Gaussian Splat

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.336040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3ff83b6-959e-4f62-b286-0c1ba2e7283a · outbound

This paper cites Nonlinear observer based control design for an under-actuated compliant robotic hand,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Nonlinear observer based control design for an under-actuated compliant robotic hand,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.766532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c64316ac-1e44-4f59-9e2d-34b66899a409 · outbound

This paper cites Hamilton-jacobi reacha- bility in reinforcement learning: A survey,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Hamilton-jacobi reacha- bility in reinforcement learning: A survey,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.753195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation edc1918e-3b37-4591-a5b5-66c964cf0bab · outbound

This paper cites Opti- mizeddp: An efficient, user-friendly library for optimal control and dynamic programming,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Opti- mizeddp: An efficient, user-friendly library for optimal control and dynamic programming,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.349766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e11fd7b-1d35-41e0-89da-0c1ed01b197a · outbound

This paper cites Crocoddyl: An efficient and versatile framework for multi-contact optimal control,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Crocoddyl: An efficient and versatile framework for multi-contact optimal control,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.353680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da1b9f7e-960a-4e73-b093-0bae74bff0d6 · outbound

This paper cites Rapid trajectory optimization using c-frost with illustration on a cassie-series dynamic walking biped,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Rapid trajectory optimization using c-frost with illustration on a cassie-series dynamic walking biped,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.731124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4e13dbe1-2963-49f3-95a5-98fcd9981019 · outbound

This paper cites Rapid bipedal gait optimization in casadi,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Rapid bipedal gait optimization in casadi,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.361484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b63c40b3-158b-472e-a7c4-0fb71a4c669d · outbound

This paper cites Affine geometric heat flow and motion planning for dynamic systems,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Affine geometric heat flow and motion planning for dynamic systems,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.709180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3eac466f-cb69-481c-804a-02bc75cf1727 · outbound

This paper cites Bring the heat: Rapid trajectory optimization with pseudospec- tral techniques and the affine geometric heat flow equation,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Bring the heat: Rapid trajectory optimization with pseudospec- tral techniques and the affine geometric heat flow equation,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.695689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3ac344f7-198d-4305-bcb4-3f7e7db2f34c · outbound

This paper cites an unresolved cited work.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:22:40.681770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a3cd4e18-2042-4255-9a19-1c5026b982a7 · outbound

This paper cites A Homotopy Method for Motion Planning.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints A Homotopy Method for Motion Planning

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.378310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f9a675c-24ee-4fda-96e8-ce3f48dd74f1 · outbound

This paper cites Geometric Motion Planning for Affine Control Systems with Indefinite Boundary Conditions and Free Terminal Time.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Geometric Motion Planning for Affine Control Systems with Indefinite Boundary Conditions and Free Terminal Time

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.383612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 305ff0eb-1b78-4c9a-b00b-4492c48dc5ea · outbound

This paper cites Mid-air motion planning of robot using heat flow method with state constraints,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Mid-air motion planning of robot using heat flow method with state constraints,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.667287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 823bd6bd-1705-4a15-b1e4-68589ed3c4ca · outbound

This paper cites an unresolved cited work.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.392122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6fe7587-917e-413b-bbb7-6677f2d1cbb1 · outbound

This paper cites Featherstone, Rigid body dynamics algorithms.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Featherstone, Rigid body dynamics algorithms

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T04:22:40.396319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ce02ce2-d953-4245-bc4d-e9bad7ac6f2a · outbound

This paper cites Analytical Derivatives of Rigid Body Dynamics Algorithms,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Analytical Derivatives of Rigid Body Dynamics Algorithms,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.635624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 748a4846-542e-4193-ab34-787debb0faea · outbound

This paper cites Polak, Optimization: algorithms and consistent approxima- tions.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Polak, Optimization: algorithms and consistent approxima- tions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.622205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 06b9d5c8-82a7-45ba-9c09-a6039a4ce2b2 · outbound

This paper cites PROXDDP: Proximal Constrained Trajectory Optimization,.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints PROXDDP: Proximal Constrained Trajectory Optimization,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:22:40.608584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c10eea69-2d97-4e7b-9be8-70d781d41564 · outbound

This paper cites Rapid and Robust Trajectory Optimization for Humanoids.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Rapid and Robust Trajectory Optimization for Humanoids

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:22:40.458516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 75cdde5f-9332-4312-9962-f9f9c40626b3 · outbound

This paper cites an unresolved cited work.

Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:22:40.595398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation ff620fb6-36de-45b5-b8a4-f0304f2f330a · inbound

EL-AGHF: Extended Lagrangian Affine Geometric Heat Flow cites this paper.

EL-AGHF: Extended Lagrangian Affine Geometric Heat Flow Phasing Through the Flames: Rapid Motion Planning with the AGHF PDE for Arbitrary Objective Functions and Constraints

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:22:10.736170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.