Paper Citation Record · LEDGER

A Million-Point Fast Trajectory Optimization Solver

As of 13 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2509.01855.

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

pith.paper-citation-record.v1
2509.01855 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:14:56.662487Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:19:11.636968Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T04:19:12.396488Z

Reference resolution

44 of 44 outbound references displayed

verified exact14
verified fuzzy14
unresolved14
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fafdb54b-297f-4805-881b-f6b843bf06ba · outbound

This paper cites The Million Point Computational Optimal Con trol Challenge,.

A Million-Point Fast Trajectory Optimization Solver The Million Point Computational Optimal Con trol Challenge,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:01.287801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ecbef4c3-ed71-4174-bb15-b42f20b4eb63 · outbound

This paper cites A Nonsmooth Calc ulus for Solving Some Graph- Theoretic Control Problems,.

A Million-Point Fast Trajectory Optimization Solver A Nonsmooth Calc ulus for Solving Some Graph- Theoretic Control Problems,

Reference 2

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.740183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 28868d3b-53e8-439e-9ea5-7b05f1429a32 · outbound

This paper cites An Optimal Control Theory for the Traveling Salesman Problem and Its Variants.

A Million-Point Fast Trajectory Optimization Solver An Optimal Control Theory for the Traveling Salesman Problem and Its Variants

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:14:58.075731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a2f6e850-312b-4efe-97ef-ff60cd1e69e3 · outbound

This paper cites Arora and B.

A Million-Point Fast Trajectory Optimization Solver Arora and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:01.235489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf0eebf9-fcb2-4aa9-819b-fc7ba097d8dd · outbound

This paper cites A Perspective on Methods for Tra jectory Optimization,.

A Million-Point Fast Trajectory Optimization Solver A Perspective on Methods for Tra jectory Optimization,

Reference 5

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.692531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3903ad10-ad2e-4020-a374-197cefea0607 · outbound

This paper cites A Survey of Methods Available for the Numer ical Optimization of Continuous Dy- namic Systems,.

A Million-Point Fast Trajectory Optimization Solver A Survey of Methods Available for the Numer ical Optimization of Continuous Dy- namic Systems,

Reference 6

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.660958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1148fe42-4d75-4071-bd43-3735bf8273ea · outbound

This paper cites AnAlgorithmic Guide for Finite-Dimensional Optimal Control Problems,.

A Million-Point Fast Trajectory Optimization Solver AnAlgorithmic Guide for Finite-Dimensional Optimal Control Problems,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T12:14:56.185746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe988b0b-7028-4e67-b971-09efbd15a267 · outbound

This paper cites A Universal Birkhoff Theory for Fast Traject ory Optimization,.

A Million-Point Fast Trajectory Optimization Solver A Universal Birkhoff Theory for Fast Traject ory Optimization,

Reference 8

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.570902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d94bf359-34b0-4d37-9cc9-cad9bc01020d · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:15:01.189680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c2127c3a-84c9-482a-abc7-e2d730bc6c46 · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:15:00.983829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f061194c-0827-4713-9a18-db3e7b437162 · outbound

This paper cites A Roadmap for Optimal Control: The Right Way to Commute,.

A Million-Point Fast Trajectory Optimization Solver A Roadmap for Optimal Control: The Right Way to Commute,

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T12:14:57.528734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dc8be739-d9c5-48fc-b432-ec84b902a02e · outbound

This paper cites SNOPT: An SQP Al gorithm for Large-Scale Constrained Optimization,.

A Million-Point Fast Trajectory Optimization Solver SNOPT: An SQP Al gorithm for Large-Scale Constrained Optimization,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:00.831893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 629e4d7f-a23c-4dae-8a6f-c98af29d9af8 · outbound

This paper cites On the implementation ofan interior-point ﬁlter line-search algorithm for large-scale nonlinear programming,.

A Million-Point Fast Trajectory Optimization Solver On the implementation ofan interior-point ﬁlter line-search algorithm for large-scale nonlinear programming,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:00.630862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 639556a8-baca-4a22-a762-e33af9cd31ff · outbound

This paper cites A Matrix-Free Trust- Region SQP Method for Equality Constrained Optimization,.

A Million-Point Fast Trajectory Optimization Solver A Matrix-Free Trust- Region SQP Method for Equality Constrained Optimization,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:00.487955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ccc9f56f-9f8e-4cad-968d-48105287524e · outbound

This paper cites Hessians in Birkhoff-Theoretic Trajector y Optimizaiton,.

A Million-Point Fast Trajectory Optimization Solver Hessians in Birkhoff-Theoretic Trajector y Optimizaiton,

Reference 15

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.490938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 47fb05f9-4b63-48fd-95c5-ad76786f5543 · outbound

This paper cites A Review of Pseudospectral O ptimal Control: From Theory to Flight,.

A Million-Point Fast Trajectory Optimization Solver A Review of Pseudospectral O ptimal Control: From Theory to Flight,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T12:14:56.304006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a46c964e-0aa6-4c53-a78e-9177b1cc1ea3 · outbound

This paper cites Boyd, Chebyshev and F ourier Spectral Methods, Dover Publications, Inc., Minola, New Y ork, 2001.

A Million-Point Fast Trajectory Optimization Solver Boyd, Chebyshev and F ourier Spectral Methods, Dover Publications, Inc., Minola, New Y ork, 2001

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:00.359595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14d4dfa1-a072-416e-8994-f34cc8983a27 · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:15:00.213300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3e7f705e-e207-4b7f-9578-6c1ccfe76490 · outbound

This paper cites Direct Trajectory Optimizati on by a Chebyshev Pseudospectral Method,.

A Million-Point Fast Trajectory Optimization Solver Direct Trajectory Optimizati on by a Chebyshev Pseudospectral Method,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T12:14:56.336858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86bd7aee-955e-492e-a9a7-20e53178248f · outbound

This paper cites Costate Computation b y a Chebyshev Pseudospectral Method,.

A Million-Point Fast Trajectory Optimization Solver Costate Computation b y a Chebyshev Pseudospectral Method,

Reference 20

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.378396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b61e2be4-de80-4195-8d23-c77446969af7 · outbound

This paper cites Fas t Mesh Reﬁnement in Pseudospectral Optimal Control,.

A Million-Point Fast Trajectory Optimization Solver Fas t Mesh Reﬁnement in Pseudospectral Optimal Control,

Reference 21

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.342123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14edb330-6e28-4239-b00e-41cd9a2e487c · outbound

This paper cites Implementations of the Univ ersal Birkhoff Theory for Fast Trajectory Optimization,.

A Million-Point Fast Trajectory Optimization Solver Implementations of the Univ ersal Birkhoff Theory for Fast Trajectory Optimization,

Reference 22

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.064385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 37144f7e-171b-4166-bd00-422bda31f9b5 · outbound

This paper cites Pseudospectral Knotting Meth ods for Solving Optimal Control Problems,.

A Million-Point Fast Trajectory Optimization Solver Pseudospectral Knotting Meth ods for Solving Optimal Control Problems,

Reference 23

Resolution: verified exact; doi, observed 2026-08-05T12:14:57.020374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a90103e1-a59c-4219-9786-264c34209f22 · outbound

This paper cites Autonomous Pseudospectral Knot ting Methods for Space Mission Optimiza- tion,.

A Million-Point Fast Trajectory Optimization Solver Autonomous Pseudospectral Knot ting Methods for Space Mission Optimiza- tion,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:15:00.037877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 71d5bc98-bb56-417a-b65e-e464d4f39aac · outbound

This paper cites Spectral Algorithm fo r Pseudospectral Methods in Optimal Con- trol,.

A Million-Point Fast Trajectory Optimization Solver Spectral Algorithm fo r Pseudospectral Methods in Optimal Con- trol,

Reference 25

Resolution: verified exact; doi, observed 2026-08-05T12:14:56.966569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 28178565-4d2f-41c8-9d83-1af0d2221615 · outbound

This paper cites hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems,.

A Million-Point Fast Trajectory Optimization Solver hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:59.897697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c10fe6e2-2573-4332-a9ee-7384349c8a93 · outbound

This paper cites Spec- tral/hp Element Methods: Recent Developments, Applicatio ns, and Perspectives,.

A Million-Point Fast Trajectory Optimization Solver Spec- tral/hp Element Methods: Recent Developments, Applicatio ns, and Perspectives,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:59.723645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 930355ec-03c6-4c8e-a318-e946c6effe1c · outbound

This paper cites Pseudospectral Optimal Control and its Convergence Theorems,.

A Million-Point Fast Trajectory Optimization Solver Pseudospectral Optimal Control and its Convergence Theorems,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:59.572463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c31a94e6-df85-4fba-bbf0-eae0359fc8b5 · outbound

This paper cites Rate of Convergence for a Legendre Pseudospec tral Optimal Control of Feedback Lin- earizable Systems,.

A Million-Point Fast Trajectory Optimization Solver Rate of Convergence for a Legendre Pseudospec tral Optimal Control of Feedback Lin- earizable Systems,

Reference 29

Resolution: verified exact; doi, observed 2026-08-05T12:14:56.881749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fc4f0431-a9d5-4b8f-bdd0-57a45ee94034 · outbound

This paper cites Solving Sparse Linear System s Faster than Matrix Multiplication,.

A Million-Point Fast Trajectory Optimization Solver Solving Sparse Linear System s Faster than Matrix Multiplication,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T12:14:56.481652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbcc6c41-d5ac-4a3d-af58-6cd8e28d02ae · outbound

This paper cites Solve for x: Technical Pespective,.

A Million-Point Fast Trajectory Optimization Solver Solve for x: Technical Pespective,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T12:14:56.492354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f381741-3d60-4ba1-85db-567d39090767 · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:14:59.428254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 908f292c-1379-4017-9284-34ccd6fc9f2f · outbound

This paper cites Golub and C.

A Million-Point Fast Trajectory Optimization Solver Golub and C

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:59.243330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5263085e-c6b3-44a1-89b5-d6dac076903d · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:14:59.120527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7e5d54aa-b82e-4f9b-81c3-eb8b390f0595 · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:14:58.971256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b16ae869-41f9-4cff-a517-caec51fd5d54 · outbound

This paper cites gmres: Solve System of Linear Equa tions – Generalized Minimimum Residual Method,.

A Million-Point Fast Trajectory Optimization Solver gmres: Solve System of Linear Equa tions – Generalized Minimimum Residual Method,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:58.795401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a3f2a2b0-0983-46a1-88d2-bc6e7ee1e4e9 · outbound

This paper cites A Universal Bir khoff Pseudospectral Method for Solv- ing Boundary V alue Problems,.

A Million-Point Fast Trajectory Optimization Solver A Universal Bir khoff Pseudospectral Method for Solv- ing Boundary V alue Problems,

Reference 37

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T12:14:57.988574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a33175d6-78ab-4600-8ca6-1d451a4f6a6f · outbound

This paper cites Clarke, Functional Analysis, Calculus of V ariations and Optimal Co ntrol, Springer-V erlag, London, 2013.

A Million-Point Fast Trajectory Optimization Solver Clarke, Functional Analysis, Calculus of V ariations and Optimal Co ntrol, Springer-V erlag, London, 2013

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:58.618849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 67bfa5be-c5fb-444e-8985-9d8b5550e6a6 · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:14:58.432587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0476691b-daa8-4210-a5d7-67dd4ed43b88 · outbound

This paper cites Enhancements to the DIDO Optimal Control Toolbox.

A Million-Point Fast Trajectory Optimization Solver Enhancements to the DIDO Optimal Control Toolbox

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T12:14:56.602921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b37611f-649b-4474-8f8a-1de938fbdf66 · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:14:58.250821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d8cac0b3-ff76-47bb-b2ce-8f64a68f7376 · outbound

This paper cites Algorithm 832: UMFP ACK V4.3—An Unsymmetric-Pattern Multifrontal Method,.

A Million-Point Fast Trajectory Optimization Solver Algorithm 832: UMFP ACK V4.3—An Unsymmetric-Pattern Multifrontal Method,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:14:58.155280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2538ba58-aaeb-4e1e-83c9-d2611741812b · outbound

This paper cites an unresolved cited work.

A Million-Point Fast Trajectory Optimization Solver Unresolved cited work

Reference 126

Resolution: verified exact; doi, observed 2026-08-05T12:14:56.922432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dcfe14ff-d505-485b-bbff-35230f7b7fc6 · outbound

This paper cites Enhancements to the DIDO Optimal Control Toolbox.

A Million-Point Fast Trajectory Optimization Solver Enhancements to the DIDO Optimal Control Toolbox

Reference 2020

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:14:56.772356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation c535fa58-b1cf-405d-b39c-2db548b38b68 · inbound

Universal Birkhoff Method for Computing Extremals in the Elliptic Restricted Three-Body Problem cites this paper.

Universal Birkhoff Method for Computing Extremals in the Elliptic Restricted Three-Body Problem A Million-Point Fast Trajectory Optimization Solver

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:19:12.401401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.