Paper Citation Record · LEDGER

Improved Representation of Matrix Lie Group Operations through Tensor Notation

As of 10 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2606.10289.

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

pith.paper-citation-record.v1
2606.10289 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T13:26:12.735793Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

19 of 19 outbound references displayed

verified exact2
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d12a38d-55ad-48c3-ae06-84b88e573d9d · outbound

This paper cites Associating uncertainty with three-dimensional poses for use in estimation problems.IEEE Transactions on Robotics, 30(3):679–693, 2014.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Associating uncertainty with three-dimensional poses for use in estimation problems.IEEE Transactions on Robotics, 30(3):679–693, 2014

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e3520f8-715c-4b1a-ac0b-331b1047e5bc · outbound

This paper cites How to put probabilities on homographies.IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(10):1666–1670, 2005.

Improved Representation of Matrix Lie Group Operations through Tensor Notation How to put probabilities on homographies.IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(10):1666–1670, 2005

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30b655fe-5452-4170-9220-9297911921e1 · outbound

This paper cites A tutorial on $\mathbf{SE}(3)$ transformation parameterizations and on-manifold optimization.

Improved Representation of Matrix Lie Group Operations through Tensor Notation A tutorial on $\mathbf{SE}(3)$ transformation parameterizations and on-manifold optimization

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-03T05:07:38.883169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3c6fd01a-812e-4898-9b9f-b787d8b8bb77 · outbound

This paper cites Associating uncertainty to extended poses for on lie group imu preinte- gration with rotating earth.IEEE Transactions on Robotics, 38(2):998– 1015, 2021.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Associating uncertainty to extended poses for on lie group imu preinte- gration with rotating earth.IEEE Transactions on Robotics, 38(2):998– 1015, 2021

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30684001-4f48-4f89-9101-bb07949ff719 · outbound

This paper cites Equivariant imu preintegration with biases: A galilean group approach.IEEE Robotics and Automation Letters, 2024.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Equivariant imu preintegration with biases: A galilean group approach.IEEE Robotics and Automation Letters, 2024

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 734a4596-8629-454b-b2eb-66e9cb3bd43d · outbound

This paper cites Computing map trajectories by repre- senting, propagating and combining pdfs over groups.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Computing map trajectories by repre- senting, propagating and combining pdfs over groups

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd9177dd-7340-4dd6-98a2-a1c507a01a78 · outbound

This paper cites Einsums’s documentation — Einsums 2.0.0-trunk documentation.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Einsums’s documentation — Einsums 2.0.0-trunk documentation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63d1cef1-34b8-4919-9bc0-74eee2288576 · outbound

This paper cites On-manifold preintegration for real-time visual–inertial odometry.IEEE Transactions on Robotics, 33(1):1–21, 2016.

Improved Representation of Matrix Lie Group Operations through Tensor Notation On-manifold preintegration for real-time visual–inertial odometry.IEEE Transactions on Robotics, 33(1):1–21, 2016

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbaaf969-d95a-4679-a5fc-9a92a0ba7e30 · outbound

This paper cites A compact formula for the derivative of a 3-d rotation in exponential coordinates.Journal of Mathematical Imaging and Vision, 51(3):378–384, 2015.

Improved Representation of Matrix Lie Group Operations through Tensor Notation A compact formula for the derivative of a 3-d rotation in exponential coordinates.Journal of Mathematical Imaging and Vision, 51(3):378–384, 2015

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57f533e6-5eb7-4e09-9f04-84b5c31648b2 · outbound

This paper cites Inte- grating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds.Information Fusion, 14(1):57–77, 2013.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Inte- grating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds.Information Fusion, 14(1):57–77, 2013

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57059d6c-edd9-4c43-84fb-aa73194b4e6c · outbound

This paper cites On closed-form preintegration for a class of mixed-invariant systems in sen (3).IEEE Control Systems Letters, 2025.

Improved Representation of Matrix Lie Group Operations through Tensor Notation On closed-form preintegration for a class of mixed-invariant systems in sen (3).IEEE Control Systems Letters, 2025

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bbffe87-eafa-4c62-8d32-3791d0d823ab · outbound

This paper cites Characterizing the uncertainty of jointly distributed poses in the lie algebra.IEEE Transactions on Robotics, 36(5):1371–1388, 2020.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Characterizing the uncertainty of jointly distributed poses in the lie algebra.IEEE Transactions on Robotics, 36(5):1371–1388, 2020

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fbbe455-8169-4993-9b2c-16b14530ef2e · outbound

This paper cites Exploring so (3) logarithmic map: degenera- cies and derivatives.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Exploring so (3) logarithmic map: degenera- cies and derivatives

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf41bc79-59e1-4068-96c3-141583591e94 · outbound

This paper cites A micro Lie theory for state estimation in robotics.

Improved Representation of Matrix Lie Group Operations through Tensor Notation A micro Lie theory for state estimation in robotics

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-03T05:07:38.880572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 741ce393-84c4-4969-b770-a0a254754385 · outbound

This paper cites Mavis: Multi-camera augmented visual-inertial slam using se 2 (3) based exact imu pre-integration.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Mavis: Multi-camera augmented visual-inertial slam using se 2 (3) based exact imu pre-integration

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85324264-0726-47cb-a117-d2f99d997c00 · outbound

This paper cites Analytic combined imu integration (aci 2) for visual inertial navigation.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Analytic combined imu integration (aci 2) for visual inertial navigation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60662989-01b4-4670-9a5c-f27edf4c327c · outbound

This paper cites e.g., v∧= skew_symm(v) Basis Tensor (B) Linear Tensor Formulations Linear synthesis and projection operations utilizing basis tensor B.

Improved Representation of Matrix Lie Group Operations through Tensor Notation e.g., v∧= skew_symm(v) Basis Tensor (B) Linear Tensor Formulations Linear synthesis and projection operations utilizing basis tensor B

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f3a76c4-9945-4229-8cb8-dbb73db03af7 · outbound

This paper cites Leads to loss of ma- trix structure.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Leads to loss of ma- trix structure

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca1acaf5-9adc-4324-8ceb-20cada83d67d · outbound

This paper cites an unresolved cited work.

Improved Representation of Matrix Lie Group Operations through Tensor Notation Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T13:26:12.735793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.