Paper Citation Record · LEDGER

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.09634.

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

pith.paper-citation-record.v1
2607.09634 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T01:36:42.895154Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

36 of 36 outbound references displayed

verified exact8
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier5
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 114ae0f6-09b9-4631-8f92-9a82132b8045 · outbound

This paper cites Collision Frequency of Artificial Satellites: The Creation of a Debris Belt,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Collision Frequency of Artificial Satellites: The Creation of a Debris Belt,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Unavailable: canonical work link unavailable.

Observation dba0388c-8fb8-4958-8cd0-b9688b7e2808 · outbound

This paper cites The Kessler Syndrome: Implications to Future Space Operations,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment The Kessler Syndrome: Implications to Future Space Operations,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation d0443056-a068-4e8b-8932-a50d56d1dce2 · outbound

This paper cites ESA’s Annual Space Environment Report, 2025 Edition,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment ESA’s Annual Space Environment Report, 2025 Edition,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 5e1411ac-d8b6-4c98-9865-d39a7d44f255 · outbound

This paper cites Jonathan’s Space Report,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Jonathan’s Space Report,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

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Observation 738b600a-aad0-4f5d-9e04-cf0082caec73 · outbound

This paper cites FCC Partially Grants SpaceX Gen2 Broadband Satel- lite Application,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment FCC Partially Grants SpaceX Gen2 Broadband Satel- lite Application,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Unavailable: canonical work link unavailable.

Observation 0467b0b0-045f-4604-b1c0-3f72c48fecf7 · outbound

This paper cites An Active Debris Removal Parametric Study for LEO Environment Remediation,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment An Active Debris Removal Parametric Study for LEO Environment Remediation,

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7cc85f1-981c-429d-88ca-9f94b590f724 · outbound

This paper cites Risk Index for the Optimal Ranking of Active Debris Removal Targets,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Risk Index for the Optimal Ranking of Active Debris Removal Targets,

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 204eed77-5b3a-4909-aeb8-99d907656ece · outbound

This paper cites New Monte Carlo Model for the Space Environment,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment New Monte Carlo Model for the Space Environment,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation c46863c0-147b-40b9-902d-db32a730d3a8 · outbound

This paper cites MIT Monte Carlo Orbital Capacity Assessment Tool (MOCAT-MC),.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment MIT Monte Carlo Orbital Capacity Assessment Tool (MOCAT-MC),

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation bc8bfe15-143d-43e1-84c1-db120b5ac187 · outbound

This paper cites LEGEND– A Three-Dimensional LEO-to- GEO Debris Evolutionary Model,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment LEGEND– A Three-Dimensional LEO-to- GEO Debris Evolutionary Model,

Reference 10

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.248936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e323a867-3f08-4316-b65c-d1cef2e0c6e4 · outbound

This paper cites Active Removal Study for On-Orbit De- bris Using DAMAGE,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Active Removal Study for On-Orbit De- bris Using DAMAGE,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 8f64340a-4279-482d-98a2-22d841fa7d40 · outbound

This paper cites DAMAGE: A Dedicated GEO Debris Model Framework,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment DAMAGE: A Dedicated GEO Debris Model Framework,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 09594088-25c1-40df-a43e-0e98eb4740d2 · outbound

This paper cites Optimal Active Debris Removal mission planning to inform policy decisions,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Optimal Active Debris Removal mission planning to inform policy decisions,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 1fb7d603-9887-46d1-8d2c-3bffd6b8d983 · outbound

This paper cites Development and Validation of an Enhanced Risk-Driven Index for Active Debris Removal Prioritization,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Development and Validation of an Enhanced Risk-Driven Index for Active Debris Removal Prioritization,

Reference 14

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.284880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d88c5c47-671c-4d3c-a959-8210f7f89d45 · outbound

This paper cites The Sustainability of the Leo Orbit Capacity via Risk-Driven Active Debris Removal.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment The Sustainability of the Leo Orbit Capacity via Risk-Driven Active Debris Removal

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 35843b05-c308-40b8-ab8c-954ff5efa03a · outbound

This paper cites The All-Versus-All Low Earth Orbit Conjunction Problem,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment The All-Versus-All Low Earth Orbit Conjunction Problem,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 9194f6a9-edf9-457b-a00b-479b01801376 · outbound

This paper cites A High Performance Conjunction Analysis Technique for Cluster and Multi-Core Com- puters,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment A High Performance Conjunction Analysis Technique for Cluster and Multi-Core Com- puters,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 52cbb50a-28ab-4dae-9a50-8db0e050a819 · outbound

This paper cites A New Approach to Evaluate Collision Prob- abilities Among Asteroids, Comets, and Kuiper Belt Objects,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment A New Approach to Evaluate Collision Prob- abilities Among Asteroids, Comets, and Kuiper Belt Objects,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 621506a5-657c-4db5-ba51-0d15fa69d001 · outbound

This paper cites Collision Activities in the Future Orbital Debris Environment,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Collision Activities in the Future Orbital Debris Environment,

Reference 19

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.310428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3d6e3ba1-5db0-4a7b-89e6-b8bcd49097ff · outbound

This paper cites Limitations of the CUBE Method for As- sessing Large Constellations,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Limitations of the CUBE Method for As- sessing Large Constellations,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38881525-b69e-4576-b712-c78765f886b7 · outbound

This paper cites Assessing Collision Algorithms for the NewSpace Era,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Assessing Collision Algorithms for the NewSpace Era,

Reference 21

Resolution: malformed identifier; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation fb5cc4fe-99f2-475e-ae51-9120bc4d8e3d · outbound

This paper cites Collision Risk Assessment with a.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Collision Risk Assessment with a

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Unavailable: canonical work link unavailable.

Observation 6d0b849f-bc15-4c50-8449-1db5c79dbd3f · outbound

This paper cites An Introduction to a New Space Debris Evolution Model: SOLEM,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment An Introduction to a New Space Debris Evolution Model: SOLEM,

Reference 23

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.305925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5c5f9589-8e64-401a-8159-84952a0142f0 · outbound

This paper cites A Collision Probability Estimation Algorithm Used in the Space Debris Evolutionary Model.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment A Collision Probability Estimation Algorithm Used in the Space Debris Evolutionary Model

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 255a7735-e9af-4a48-9b07-1399816dd153 · outbound

This paper cites an unresolved cited work.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation 3740adf1-9692-448f-aaf4-132e1b265c22 · outbound

This paper cites Cell Size Dependence of Transport Coefficients in Stochastic Particle Algorithms,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Cell Size Dependence of Transport Coefficients in Stochastic Particle Algorithms,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation eede6746-7759-441b-93fa-4a32312f4923 · outbound

This paper cites Erratum:.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Erratum:

Reference 27

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.256537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 001c785f-2123-4ec4-bcac-6a8aa9f7c261 · outbound

This paper cites Convergence Behavior of a New DSMC Algorithm,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Convergence Behavior of a New DSMC Algorithm,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Unavailable: canonical work link unavailable.

Observation 84100a55-cd43-4010-a0b3-20457c021af9 · outbound

This paper cites Accuracy and Efficiency of the Sophisti- cated Direct Simulation Monte Carlo Algorithm for Simulating Noncontinuum Gas Flows,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Accuracy and Efficiency of the Sophisti- cated Direct Simulation Monte Carlo Algorithm for Simulating Noncontinuum Gas Flows,

Reference 29

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.297092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2b177e10-6fec-4d72-86eb-46058c4d258a · outbound

This paper cites Effect of Collision-Partner Selection Schemes on the Accuracy and Efficiency of the Direct Simulation Monte Carlo Method,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Effect of Collision-Partner Selection Schemes on the Accuracy and Efficiency of the Direct Simulation Monte Carlo Method,

Reference 30

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.273905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a4184336-131b-4ff6-956e-0e95ae9dbef2 · outbound

This paper cites Accuracy and Convergence of a New DSMC Algorithm,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Accuracy and Convergence of a New DSMC Algorithm,

Reference 31

Resolution: malformed identifier; no resolver link, observed 2026-07-13T01:36:42.895154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9859afea-ed65-4021-8657-ce1e69d8a311 · outbound

This paper cites Probability of Collision Between Space Objects,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Probability of Collision Between Space Objects,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Observation e4e8c5c0-9cb1-4d12-ad3c-a44300d22d1a · outbound

This paper cites Average Distance between Two Points in a Box (Solution to Elementary Problem E2629),.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Average Distance between Two Points in a Box (Solution to Elementary Problem E2629),

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Unavailable: canonical work link unavailable.

Observation 7ee3428d-9917-4a4e-a027-712041ba8400 · outbound

This paper cites Recursive polynomial minimum mean-square error estimation with appli- cations to orbit determination,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Recursive polynomial minimum mean-square error estimation with appli- cations to orbit determination,

Reference 34

Resolution: verified exact; doi, observed 2026-07-13T01:39:14.301623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c1d8552c-4831-47bc-ae48-356bdae0ad18 · outbound

This paper cites Analysis and Validation of the CUBE Algorithm: Assessing Gas Kinetic Theory to Model Collision Risk in Long-Term Debris Propagations,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Analysis and Validation of the CUBE Algorithm: Assessing Gas Kinetic Theory to Model Collision Risk in Long-Term Debris Propagations,

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Unavailable: canonical work link unavailable.

Observation f382ded2-0316-4434-b521-394042752c22 · outbound

This paper cites Derivation of the Collision Probability between Orbiting Objects: The Lifetimes of Jupiter’s Outer Moons,.

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment Derivation of the Collision Probability between Orbiting Objects: The Lifetimes of Jupiter’s Outer Moons,

Reference 36

Resolution: malformed identifier; no resolver link, observed 2026-07-13T01:36:42.895154Z

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Pith citing papers

No inbound Pith citation observations are available.