Paper Citation Record · LEDGER

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2506.01514.

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

pith.paper-citation-record.v1
2506.01514 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:52:18.871195Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T04:06:50.013211Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-12T06:15:01.017489Z

Reference resolution

32 of 32 outbound references displayed

verified exact1
verified fuzzy24
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd1a7e7f-9f48-4271-9744-9628b7bd2171 · outbound

This paper cites an unresolved cited work.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:52:22.414322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fddc8f53-73ce-490d-982b-2ef972dc05d3 · outbound

This paper cites an unresolved cited work.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:52:22.290226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0b961caf-b238-4ad9-a6b9-2dd94aa029ac · outbound

This paper cites Kalman filtering for spacecraft attitude estimation,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Kalman filtering for spacecraft attitude estimation,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:22.182130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f45da8d3-e50e-475b-b101-9868ec72a35e · outbound

This paper cites Discrete extended Kalman filter on Lie groups,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Discrete extended Kalman filter on Lie groups,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:22.068199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6dfd28e2-2cf2-49ec-b334-196894e8de9c · outbound

This paper cites Continuous- Discrete Extended Kalman Filter on Matrix Lie Groups Using Concentrated Gaussian Distributions,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Continuous- Discrete Extended Kalman Filter on Matrix Lie Groups Using Concentrated Gaussian Distributions,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.980361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9959e816-4f7b-4dc2-b755-744bc0bb4226 · outbound

This paper cites Attitude Error Representations for Kalman Filtering,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Attitude Error Representations for Kalman Filtering,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.858639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 61355577-4b4d-4727-ae71-1fa56ad9f5eb · outbound

This paper cites Quaternion kinematics for the error-state Kalman filter.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Quaternion kinematics for the error-state Kalman filter

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:52:17.193171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7babc52-135d-4069-9ea0-f5ea54205090 · outbound

This paper cites The invariant extended kalman filter as a stable observer,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups The invariant extended kalman filter as a stable observer,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.756733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a6ea1fdb-25e2-4224-bc8e-bc429c5c140c · outbound

This paper cites Invariant Kalman Filtering,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Invariant Kalman Filtering,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.647028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 81732c2b-ffce-4ba3-bd1e-98e0ac4944a2 · outbound

This paper cites Left-invariant extended Kalman filter and attitude estima- tion,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Left-invariant extended Kalman filter and attitude estima- tion,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.537476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 10e6c3d1-e755-45da-abd2-1a305d91cae7 · outbound

This paper cites It ˆo versus stratonovich,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups It ˆo versus stratonovich,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.435478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b34edc0b-bce2-44c0-9326-341842c6d04f · outbound

This paper cites an unresolved cited work.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:52:21.316876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 618cc0a6-11d5-48ed-a173-31bd01173099 · outbound

This paper cites On the interpretation of stratonovich calculus,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups On the interpretation of stratonovich calculus,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.224284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 376514f1-7d5a-4a19-8d1a-8ebf5dbb3fbc · outbound

This paper cites Øksendal,Stochastic Differential Equations, ser.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Øksendal,Stochastic Differential Equations, ser

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.117864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 89ae7371-105b-4d02-8147-6799d747cf43 · outbound

This paper cites Intrinsic filtering on lie groups with applications to attitude estimation,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Intrinsic filtering on lie groups with applications to attitude estimation,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:21.030961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d8d4728f-9528-4e7c-a5b4-103fee3ad9f6 · outbound

This paper cites A Full-order Solution to the Attitude Reset Problem for Kalman Filtering of Attitudes,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups A Full-order Solution to the Attitude Reset Problem for Kalman Filtering of Attitudes,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.934879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d1e0a894-ac5a-4bf2-8f4b-6745ddfdc4b6 · outbound

This paper cites Three examples of the stability properties of the invariant extended Kalman filter,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Three examples of the stability properties of the invariant extended Kalman filter,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.825726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5a7859ae-c233-4ad9-bd6f-9a9da93b6de2 · outbound

This paper cites Robust Land Vehicle Positioning with Invariant Kalman Filters and Map-Based Corrections,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Robust Land Vehicle Positioning with Invariant Kalman Filters and Map-Based Corrections,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.714612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c1b81963-2adc-4b2b-a0dc-bb6ded044dee · outbound

This paper cites Contact-Aided Invariant Extended Kalman Filtering for Robot State Estimation.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Contact-Aided Invariant Extended Kalman Filtering for Robot State Estimation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T11:52:17.959804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5acc600-1295-4758-8188-215aa6758f7c · outbound

This paper cites Invariant Extended Kalman Filtering for Underwater Navigation,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Invariant Extended Kalman Filtering for Underwater Navigation,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.607647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 809b3950-14d5-4f2f-8252-4cfdb4af5a11 · outbound

This paper cites Navigation and Control of Unconventional VTOL UA Vs in Forward-Flight With Explicit Wind Velocity Estimation,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Navigation and Control of Unconventional VTOL UA Vs in Forward-Flight With Explicit Wind Velocity Estimation,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.470689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d8b793d6-f4c2-43d3-bd61-8aeb1b6f511f · outbound

This paper cites Invariant Error-Based Integrated Solution for SINS/DVL in Earth Frame: Extension and Comparison,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Invariant Error-Based Integrated Solution for SINS/DVL in Earth Frame: Extension and Comparison,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.351341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c33204c7-f427-48c6-bc3a-c335428e7517 · outbound

This paper cites An invariant error-based SINS/DVL/USBL tightly coupled integrated navigation algorithm and its robust state estimator,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups An invariant error-based SINS/DVL/USBL tightly coupled integrated navigation algorithm and its robust state estimator,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:20.221335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 674ff31e-8533-44d0-a753-0705829f1d71 · outbound

This paper cites an unresolved cited work.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:52:20.079232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9faaee71-76e5-4322-8ea3-6a1a6916fbb3 · outbound

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

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups A micro Lie theory for state estimation in robotics

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T11:52:18.438356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cd952ef-e86d-45ed-8fca-d82b78056fd5 · outbound

This paper cites Bullo and R.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Bullo and R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:19.882725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b2cbed3b-3569-4bef-b81b-4e2d77476d73 · outbound

This paper cites Equivariant Filter Design for Discrete-time systems.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Equivariant Filter Design for Discrete-time systems

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:52:19.015965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 689c7d35-f316-41b1-b6d8-431b8c3bdf3d · outbound

This paper cites A Geometric Perspective on Fusing Gaussian Distributions on Lie Groups,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups A Geometric Perspective on Fusing Gaussian Distributions on Lie Groups,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:19.710683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 61fb9285-c78c-47e4-aa61-1856b7a0fcc0 · outbound

This paper cites Associating Uncertainty With Three- Dimensional Poses for Use in Estimation Problems,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Associating Uncertainty With Three- Dimensional Poses for Use in Estimation Problems,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:19.564638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 813b7587-aa7a-4bdb-b8cc-91dc0473a4c8 · outbound

This paper cites Proportional derivative (pd) control on the euclidean group,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Proportional derivative (pd) control on the euclidean group,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:19.432410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f23f93ca-f7c6-4286-931d-2db732d9d89e · outbound

This paper cites A New Approach to Linear Filtering and Prediction Problems,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups A New Approach to Linear Filtering and Prediction Problems,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:19.295088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2365e79f-c8f1-4217-b4d7-a8e3646cd396 · outbound

This paper cites Invariant particle filtering with application to localization,.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups Invariant particle filtering with application to localization,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:52:19.193397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 3676d037-69d8-4dec-80ea-c0dc8d10e3ff · inbound

Derivations of Error-State Kalman Filter Kinematics for Globally Applicable Aided Inertial Navigation Systems cites this paper.

Derivations of Error-State Kalman Filter Kinematics for Globally Applicable Aided Inertial Navigation Systems Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups

Reference 117

Resolution: verified exact; local_arxiv, observed 2026-07-12T04:08:31.737898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.