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Paper Citation Record · LEDGER

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding

As of 9 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2507.12751.

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

pith.paper-citation-record.v1
2507.12751 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:45:06.136263Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

31 of 31 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved5
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63c47be6-c972-4886-ba16-ef505ade0327 · outbound

This paper cites Bigdog, the rough-terrain quadruped robot,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Bigdog, the rough-terrain quadruped robot,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.888392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 99fe8285-ed84-40ed-9b26-76fdcfc2b803 · outbound

This paper cites High speed trot- running: Implementation of a hierarchical controller using propriocep- tive impedance control on the mit cheetah,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding High speed trot- running: Implementation of a hierarchical controller using propriocep- tive impedance control on the mit cheetah,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.870416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 27caa941-c00a-47b0-94c2-507d468ce010 · outbound

This paper cites Design of the hydraulically actuated, torque- controlled quadruped robot hyq,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Design of the hydraulically actuated, torque- controlled quadruped robot hyq,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.854202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:02.522924Z digest=sha256:10d246f67bc1090d5f77315e2cfba7860215df4532df0757b2ded8cf9391595e

Observation b3603300-3149-4e82-b176-ffb15db93e9d · outbound

This paper cites Selecting gaits for economical locomotion of legged robots,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Selecting gaits for economical locomotion of legged robots,

Reference 4

Resolution
verified exact
doi, observed 2026-08-06T16:45:06.315861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:02.634178Z digest=sha256:e23e53a79c9b7198389bb3ec2b6daae4248d63458aecf3ba1c8d02ed5d3a3aa8

Observation 349bd794-5868-46bd-855b-1f237a11abe3 · outbound

This paper cites Energy-efficient gait planning for a hexapod robot,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Energy-efficient gait planning for a hexapod robot,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.838523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:02.715266Z digest=sha256:8f971ca0be84c65b25f0a246bdcda8a41025bfb3dbaa47b46c1784490952aa8b

Observation 325175d0-4e5f-470d-ae81-a2123e232f39 · outbound

This paper cites Efficient gait selection for quadrupedal robots on the moon and mars,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Efficient gait selection for quadrupedal robots on the moon and mars,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.821084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:02.838429Z digest=sha256:1330c22412f848c0be5d7de1e67726793833e4906ffb9552223874a0feb116ac

Observation 8ffb3107-51ed-4b54-b43d-a38f97984fd4 · outbound

This paper cites Optimization and gaits in the locomotion of vertebrates,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Optimization and gaits in the locomotion of vertebrates,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.804753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:02.991141Z digest=sha256:b8e75f8891052fe765c906361d94c54383d74f6f4117c6307936cfff7a82008f

Observation e0814cd6-ca27-4a96-ae3e-a25365e05650 · outbound

This paper cites Gait and the energetics of locomotion in horses,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Gait and the energetics of locomotion in horses,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.785855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.152710Z digest=sha256:61522bf07a3f83a4b191bfa0e6b29a46f322a623e8288537a7c1ca4661588917

Observation ca2db417-2f1a-4819-bd8a-e07fdd0384f7 · outbound

This paper cites Control of locomotion in bipeds, tetrapods, and fish,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Control of locomotion in bipeds, tetrapods, and fish,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.770191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.308465Z digest=sha256:b3483a393073d7b245eae657816ff8ce2aeb4bbb190a6b2895b9246b48f2aebf

Observation 79c8d61b-a70d-4e18-9a05-4c3268a2d5dc · outbound

This paper cites Energetics and mechanics of terrestrial locomotion. ii. kinetic energy changes of the limbs and body as a function of speed and body size in birds and mammals,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Energetics and mechanics of terrestrial locomotion. ii. kinetic energy changes of the limbs and body as a function of speed and body size in birds and mammals,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.753416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.459163Z digest=sha256:22e11b4fa7a024b11f222433a521d69b018f31f5996a8fc03f84fae75b391066

Observation f3f4aa37-e7b1-44d5-8095-7ef51f676033 · outbound

This paper cites Symmetrical gaits of horses,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Symmetrical gaits of horses,

Reference 11

Resolution
verified exact
doi, observed 2026-08-06T16:45:06.298926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.607761Z digest=sha256:ab01b23362dfb03a47289e8616ef1b3ab8e7726dfefbde31264577ac20535408

Observation c7d1aa05-c425-47c8-8eca-974442ba7042 · outbound

This paper cites Functional anatomy of the cheetah (acinonyx jubatus) hindlimb,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Functional anatomy of the cheetah (acinonyx jubatus) hindlimb,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.736408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.681625Z digest=sha256:32ffa04d0667e138038857b210808bd7c6f93579ff130ed080a4c04fd8d92951

Observation f8f08490-d0b7-4556-9876-2b801765da46 · outbound

This paper cites Gaits of bipedal and quadrupedal animals,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Gaits of bipedal and quadrupedal animals,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.721296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.718239Z digest=sha256:07a7a2b78a5293f0cd5d038ba6a74e274435e3688f614080b64aefad036e3697

Observation 275ce1a7-c0be-467a-ab2f-16dab8f3705d · outbound

This paper cites Abernethy et al.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Abernethy et al

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.704536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.821816Z digest=sha256:dc11ceac0a6bb069c729959628b45174e608f0abe694293bba25e225ea15ff27

Observation 27880790-b4d7-4e3f-b53d-ffdada44bc0d · outbound

This paper cites Biomechanics: forces and move- ments in muscular locomotion,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Biomechanics: forces and move- ments in muscular locomotion,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.687703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:03.983951Z digest=sha256:0d5dd9e137d29c2e2131304a9c0817a15e0feb73568d8fd2cc2171e25bee94b6

Observation 9c089b72-fd51-4439-b4ee-ab8c7ecf42cb · outbound

This paper cites Scaling stride frequency and gait to animal size: mice to horses,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Scaling stride frequency and gait to animal size: mice to horses,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.670008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:04.129224Z digest=sha256:9eaf1d634a9eda928d966f7a968220086ef286cc877a1a83c3d541619a7b1cc0

Observation a33147c5-a1df-400b-9b79-4b79a7e00946 · outbound

This paper cites Legged robots that balance,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Legged robots that balance,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.653164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:04.356698Z digest=sha256:62a896c3c7cd90f64e4284b5af5cddeb1363fccb9b05fcabcdb662fa93f7195f

Observation a31374c4-b2c2-4c43-9ae1-bf162316596c · outbound

This paper cites Trotting and galloping strategies of quadruped robots via analogue neural oscillators,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Trotting and galloping strategies of quadruped robots via analogue neural oscillators,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.628305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:04.520070Z digest=sha256:08c600553ee7fd4baaf1161dad3133aafc3d802de0837c8b6517942697816a7a

Observation c6566048-719d-40f8-ae3a-98ec48d06a2a · outbound

This paper cites Balance recovery with out-of-plane foot placement strategies for humanoid robots,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Balance recovery with out-of-plane foot placement strategies for humanoid robots,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.607275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:04.712482Z digest=sha256:fb9219efbe7eddf6616ed1923613a5777ea6761bf785ab47352ea0c04d825fb0

Observation d9eea291-fea3-4719-b11e-71947d6888e9 · outbound

This paper cites Compliant leg behaviour explains basic dynamics of walking and running,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Compliant leg behaviour explains basic dynamics of walking and running,

Reference 20

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verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.589036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6085bfee-560e-4b8e-9aad-03a7f01aa650 · outbound

This paper cites Development of a novel quadruped robot with parallel leg mechanism,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Development of a novel quadruped robot with parallel leg mechanism,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.570589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:05.064598Z digest=sha256:4fe28369b9bc5eb2fe3a0cec09cc0b09dd680261b1255f0860e68a24f206bc5c

Observation 780254fa-043f-41d8-905f-691d97443cf5 · outbound

This paper cites an unresolved cited work.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Unresolved cited work

Reference 22

Resolution
verified exact
doi, observed 2026-08-06T16:45:06.282239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e9f05a99-84b8-4bc6-86bd-a4ac3804d88a · outbound

This paper cites High-speed bounding with the mit cheetah 2: Control design and experiments,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding High-speed bounding with the mit cheetah 2: Control design and experiments,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.555006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:05.420840Z digest=sha256:7dcd86cc6155f61810046c86898444a185e6085767f058b921b16edaa970f017

Observation 88a42c29-cb58-482d-82c8-a136e39e1ee4 · outbound

This paper cites Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Control.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Control

Reference 24

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no resolver link, observed 2026-08-06T16:45:05.580607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:45:05.580607Z digest=sha256:6918ab04a78f13447d1e1d13c4acc79e186529fc5ba4bf4ea988ff1b8020c8fb

Observation e61717ee-2098-4b0a-8548-ee941a22812e · outbound

This paper cites Mit cheetah 3: Design and control of a robust, dynamic quadruped robot,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Mit cheetah 3: Design and control of a robust, dynamic quadruped robot,

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T16:45:05.768112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:45:05.768112Z digest=sha256:e13807c321a1e3a600190017d406f7650e9d56093f6655c728d21729680b19e0

Observation a02bb72e-ccb6-46c7-855f-cdf23c2483c6 · outbound

This paper cites Energy-optimal asymmetrical gait selection for quadrupedal robots,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Energy-optimal asymmetrical gait selection for quadrupedal robots,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.528219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:05.944508Z digest=sha256:cd9731f2a610d69b1d83eb0146b17648a6494d285f2d2b1acb3ff3259f03976b

Observation 9c6e4b51-edbc-4603-91f2-065551007212 · outbound

This paper cites Harnessing natural oscillations for high-speed, efficient asymmetrical locomotion in quadrupedal robots,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Harnessing natural oscillations for high-speed, efficient asymmetrical locomotion in quadrupedal robots,

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T16:45:06.101148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:45:06.101148Z digest=sha256:d04b01e160d8d96ad87e196b618e54af1b282cca1e5f4d6398d3459e3a44202f

Observation 1fba60f5-e085-4428-83ff-9036cc95d070 · outbound

This paper cites All common bipedal gaits emerge from a single passive model,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding All common bipedal gaits emerge from a single passive model,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.513337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:06.117229Z digest=sha256:0e3c19e5d7ab4d005e187ab2b12ac82cf9394e66b53f470290095d285492bbcc

Observation 688e5a32-61b6-4655-ba19-057ce3b940ee · outbound

This paper cites an unresolved cited work.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:45:06.498637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:06.127315Z digest=sha256:555d4df6e54d1f426283597976b04226e37bd46ced1fc6ec420e7ea03ef57e31

Observation 2e779ecc-2341-4609-a6d2-b7bec3eb3e14 · outbound

This paper cites an unresolved cited work.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Unresolved cited work

Reference 30

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unresolved
raw_fallback, observed 2026-08-06T16:45:06.483423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:06.131818Z digest=sha256:aa32404ee9ded4d2c992becdfb76de52e2ba6a9e348aec36ca3f93eec9177c63

Observation 91b71cad-324c-4599-83e6-ae7273e9604b · outbound

This paper cites Design and use paradigms for gazebo, an open-source multi-robot simulator,.

Refining Motion for Peak Performance: Identifying Optimal Gait Parameters for Energy-Efficient Quadrupedal Bounding Design and use paradigms for gazebo, an open-source multi-robot simulator,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:06.468943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:45:06.136263Z digest=sha256:2a5f7851cfcfdf1cc9c9fb4afe4cecaad751effd6c05000b8fe289237fec5e82

Pith citing papers

No inbound Pith citation observations are available.