Paper Citation Record · LEDGER

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2508.06316.

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

pith.paper-citation-record.v1
2508.06316 v2

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

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measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T12:00:45.318084Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

59 of 59 outbound references displayed

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verified fuzzy17
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External citation measurements

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pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation bdd213b0-ada7-400d-b4b9-def4d68a4160 · outbound

This paper cites The Fast Multipole Method for Gridless Particle Simulation.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations The Fast Multipole Method for Gridless Particle Simulation

Reference 1

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Observation 6fb9731e-1034-4c8d-a588-866e4e2ef5c5 · outbound

This paper cites Space-Filling Curves.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Space-Filling Curves

Reference 2

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This paper cites Fundamental Challenges of Micro-Vanes and Micro-Ramps for High-Speed Inlet Applications: A Computational Fluid Dynamics Investigation.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Fundamental Challenges of Micro-Vanes and Micro-Ramps for High-Speed Inlet Applications: A Computational Fluid Dynamics Investigation

Reference 3

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Observation 5a8ec7c9-8a53-4e55-8255-4b99bbeb6a3f · outbound

This paper cites Multidimensional Binary Search Trees Used for As- sociative Searching.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Multidimensional Binary Search Trees Used for As- sociative Searching

Reference 4

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Observation ce10d639-3551-42ae-b910-acf1d910c7e7 · outbound

This paper cites AMM: Adaptive Multilinear Meshes.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations AMM: Adaptive Multilinear Meshes

Reference 5

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Observation 5c83aec8-1d8a-4e6b-83e6-1f28acd70e37 · outbound

This paper cites A New Uncertainty Importance Measure.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations A New Uncertainty Importance Measure

Reference 6

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Observation 7fd148db-1f11-4d90-8684-6fa81e5fdc08 · outbound

This paper cites Foundations of Nonlinear Gyrokinetic Theory.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Foundations of Nonlinear Gyrokinetic Theory

Reference 7

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Observation b413f231-4e11-43c9-baec-1c5893ff5558 · outbound

This paper cites P4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations P4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees

Reference 8

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Observation b44aedaa-e387-4c79-ab74-9ce0c1a0c375 · outbound

This paper cites ParallelNN: A Parallel Octree-based Nearest Neigh- bor Search Accelerator for 3D Point Clouds.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations ParallelNN: A Parallel Octree-based Nearest Neigh- bor Search Accelerator for 3D Point Clouds

Reference 9

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This paper cites Fast Construction of K-Nearest Neighbor Graphs for Point Clouds.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Fast Construction of K-Nearest Neighbor Graphs for Point Clouds

Reference 10

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Observation 0388057e-5f1f-476d-996d-f9865b624c04 · outbound

This paper cites From Piz Daint to the Stars: Simulation of Stellar Mergers Using High-Level Abstractions.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations From Piz Daint to the Stars: Simulation of Stellar Mergers Using High-Level Abstractions

Reference 11

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Unresolved cited work

Reference 12

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Observation f43ae53c-4a71-4d1d-aa72-021258b3e190 · outbound

This paper cites Efficient Autoregressive Shape Generation via Octree-Based Adaptive Tokenization.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Efficient Autoregressive Shape Generation via Octree-Based Adaptive Tokenization

Reference 13

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Unresolved cited work

Reference 14

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Observation c9ac22c1-4b01-4886-96f0-4d023d10e810 · outbound

This paper cites Time-Tensor for Rapid Convergence of CFD Solutions.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Time-Tensor for Rapid Convergence of CFD Solutions

Reference 15

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Observation 9f2fd7a6-dc30-427a-b2b0-0b1b81c1af20 · outbound

This paper cites Splitflow - Progress in 3D CFD with Cartesian Omni-Tree Grids for Complex Geometries.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Splitflow - Progress in 3D CFD with Cartesian Omni-Tree Grids for Complex Geometries

Reference 16

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Observation e27acfa1-0c7a-45fa-a367-a963f30d8784 · outbound

This paper cites Propulsion Aerodynamics Workshop IV Results for the Special Topic.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Propulsion Aerodynamics Workshop IV Results for the Special Topic

Reference 17

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Observation 2ac96e43-83e5-4d6d-9ef2-6f50f0491c10 · outbound

This paper cites Low- and High-Frequency Nature of Oblique Filamentation Modes. II. Vlasov–Maxwell Simulations of Collisionless Heat- ing Process.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Low- and High-Frequency Nature of Oblique Filamentation Modes. II. Vlasov–Maxwell Simulations of Collisionless Heat- ing Process

Reference 18

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Observation ac852684-a6b2-4c64-94c3-f44de4167a47 · outbound

This paper cites A Fast Algorithm for Particle Simulations.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations A Fast Algorithm for Particle Simulations

Reference 19

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Observation f2a1950a-3d0b-44c7-9fef-7934dee261ef · outbound

This paper cites Sixteen space-filling curves and traversals for d-dimensional cubes and simplices.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Sixteen space-filling curves and traversals for d-dimensional cubes and simplices

Reference 20

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Observation 94ce6be9-6e2e-4c58-904b-5bda246eb999 · outbound

This paper cites SALib: An open-source Python library for Sensitivity Analysis.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations SALib: An open-source Python library for Sensitivity Analysis

Reference 21

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This paper cites T8code - Modular Adaptive Mesh Refinement in the Exascale Era.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations T8code - Modular Adaptive Mesh Refinement in the Exascale Era

Reference 22

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This paper cites OctoMap: An Efficient Probabilistic 3D Map- ping Framework Based on Octrees.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations OctoMap: An Efficient Probabilistic 3D Map- ping Framework Based on Octrees

Reference 23

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Toward SALib 2.0: Advancing the accessibility and interpretability of global sensitiv- ity analyses

Reference 24

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Observation 48115af2-0e95-41d2-91a7-6c7442f28b52 · outbound

This paper cites An Octree- Based, Cartesian Navier–Stokes Solver for Modern Cluster Architectures.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations An Octree- Based, Cartesian Navier–Stokes Solver for Modern Cluster Architectures

Reference 25

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Observation 1804c16e-48a6-4612-9178-dfd1d8c8268c · outbound

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations On a Method of Binary-Picture Rep- resentation and Its Application to Data Compression

Reference 26

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Observation ba21357d-5e39-4e20-bf3a-2845f631c644 · outbound

This paper cites Progressive Transmission of Grey-Scale and Binary Pic- tures by Simple, Efficient, and Lossless Encoding Schemes.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Progressive Transmission of Grey-Scale and Binary Pic- tures by Simple, Efficient, and Lossless Encoding Schemes

Reference 27

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This paper cites Spatially Adaptive Techniques for Level Set Methods and Incompressible Flow.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Spatially Adaptive Techniques for Level Set Methods and Incompressible Flow

Reference 28

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Simulating Water and Smoke with an Octree Data Structure

Reference 29

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Observation 375f74a3-e2fb-41a6-a584-6a730680f70b · outbound

This paper cites Sierpinski’s Curve: A (Beautiful) Paradigm of Recur- sion.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Sierpinski’s Curve: A (Beautiful) Paradigm of Recur- sion

Reference 30

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Geometric Modeling Using Octree Encoding

Reference 31

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This paper cites Octree Partitioning of Hybrid Grids for Parallel Adaptive Viscous Flow Simulations.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Octree Partitioning of Hybrid Grids for Parallel Adaptive Viscous Flow Simulations

Reference 32

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This paper cites Interface-Capturing Methods for Two-Phase Flows: An Overview and Recent Developments.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Interface-Capturing Methods for Two-Phase Flows: An Overview and Recent Developments

Reference 33

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Observation aef6c5bb-8b55-41c3-b135-ddc19d64b118 · outbound

This paper cites Parallel Level-Set Methods on Adaptive Tree-Based Grids.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Parallel Level-Set Methods on Adaptive Tree-Based Grids

Reference 34

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This paper cites Astrophysical Particle Simulations on Heteroge- neous CPU-GPU Systems.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Astrophysical Particle Simulations on Heteroge- neous CPU-GPU Systems

Reference 35

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This paper cites A Numerical Algorithm Based on a Tree Data for an Anisotropically Adaptive Cartesian Mesh.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations A Numerical Algorithm Based on a Tree Data for an Anisotropically Adaptive Cartesian Mesh

Reference 36

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Observation 87cea9ad-afbd-435a-b7e8-1213278d2504 · outbound

This paper cites An Adaptive Cartesian Mesh Flow Solver Based on the Tree-data with Anisotropic Mesh Refinement.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations An Adaptive Cartesian Mesh Flow Solver Based on the Tree-data with Anisotropic Mesh Refinement

Reference 37

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Unresolved cited work

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This paper cites freifrauvonbleifrei/DyAda.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations freifrauvonbleifrei/DyAda

Reference 39

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Observation aecd6c4e-7602-469b-9e1a-d036f1bbf92a · outbound

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The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations freifrauvonbleifrei/thingies with omnitrees

Reference 40

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Observation 549d0a19-bf07-4b5d-8012-1d6d7f65fe8b · outbound

This paper cites Making Best Use of Model Evaluations to Compute Sen- sitivity Indices.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Making Best Use of Model Evaluations to Compute Sen- sitivity Indices

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:59:22.939423Z

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Observation 67d5e3c1-9543-4166-9440-2c70f164d49e · outbound

This paper cites Global Sensitivity Analysis: The Primer.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Global Sensitivity Analysis: The Primer

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:59:22.701825Z

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Observation b4b468c4-f5e2-4d10-b053-6c3c7b59941b · outbound

This paper cites Parallelization of an Adaptive Cartesian Mesh Flow Solver Based on the 2N -Tree Data Structure.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Parallelization of an Adaptive Cartesian Mesh Flow Solver Based on the 2N -Tree Data Structure

Reference 43

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Observation 5a27407b-0506-4807-b6d3-bc18fd2b443a · outbound

This paper cites Omni-Tree and Adaptive Cartesian Hybrid Grid Method in Steady and Unsteady Flows.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Omni-Tree and Adaptive Cartesian Hybrid Grid Method in Steady and Unsteady Flows

Reference 44

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Observation a49b26a3-1ee0-4200-8b7a-515398ef8ec1 · outbound

This paper cites Application of an Omni-tree Adaptive and Hybrid Cartesian Grid Method.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Application of an Omni-tree Adaptive and Hybrid Cartesian Grid Method

Reference 45

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Observation aee8eb11-eaf7-48a6-92ce-7366cb8a6d4c · outbound

This paper cites Comparison of Octree and Omni-Tree Carte- sian Grid for Civil-Plane High-Lift Model Simulations.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Comparison of Octree and Omni-Tree Carte- sian Grid for Civil-Plane High-Lift Model Simulations

Reference 46

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Observation 8b58c0b1-b18f-4c28-b207-51a2d7fb2889 · outbound

This paper cites Numerically Analyzing More Efficiently High-Lift Aerodynamics of Wing/Body Model with Omni-Tree Cartesian Grids.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Numerically Analyzing More Efficiently High-Lift Aerodynamics of Wing/Body Model with Omni-Tree Cartesian Grids

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:59:22.267788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2d65e653-5af9-416c-bf2e-445e4331d7e8 · outbound

This paper cites The Quadtree and Related Hierarchical Data Structures.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations The Quadtree and Related Hierarchical Data Structures

Reference 48

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T22:59:18.597413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ccfde9bb-0a3d-467e-a08b-7612c09b939e · outbound

This paper cites Etree: A Database-Oriented Method for Generating Large Octree Meshes.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Etree: A Database-Oriented Method for Generating Large Octree Meshes

Reference 49

Resolution: malformed identifier; no resolver link, observed 2026-08-05T22:59:15.384239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 343db169-473c-44e4-b612-9150f53a6dc4 · outbound

This paper cites Octree-R: An Adaptive Octree for Efficient Ray Tracing.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Octree-R: An Adaptive Octree for Efficient Ray Tracing

Reference 50

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T22:59:16.117347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a0ff9c8c-54ee-46f7-8ba6-67e7729fe203 · outbound

This paper cites Establishing the DLR-F25 as a Research Baseline Aircraft for the Short-Medium Range Market in 2035.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Establishing the DLR-F25 as a Research Baseline Aircraft for the Short-Medium Range Market in 2035

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:59:21.756547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6a8eaaab-c728-498e-b1f2-ba1d79118e74 · outbound

This paper cites Adaptive Patching for High-resolution Image Segmen- tation with Transformers.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Adaptive Patching for High-resolution Image Segmen- tation with Transformers

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:59:21.570166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f041848f-9319-4ec9-acba-c0f81fa42420 · outbound

This paper cites Thingi10K: A Dataset of 10,000 3D-Printing Models.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Thingi10K: A Dataset of 10,000 3D-Printing Models

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-05T22:59:15.881550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c879027-9423-4035-a954-e92a6ffd7295 · outbound

This paper cites Octree-Based Indexing for 3D Pointclouds within an Oracle Spatial DBMS.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Octree-Based Indexing for 3D Pointclouds within an Oracle Spatial DBMS

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:59:22.004830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b425dba0-c476-4793-b37f-77156a03b09f · outbound

This paper cites doi: 10.1016/j.ast.2010.09.001.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations doi: 10.1016/j.ast.2010.09.001

Reference 380

Resolution: verified exact; doi, observed 2026-08-05T22:59:16.365103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 349da35d-eeb4-4d0a-b110-95d820395b62 · outbound

This paper cites url: https://ieeexplore.ieee.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations url: https://ieeexplore.ieee

Reference 506

Resolution: verified exact; raw_fallback, observed 2026-08-05T22:59:20.748743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8f602f22-4c47-46e7-9d99-6fc91040c5c7 · outbound

This paper cites doi: 10.1137/100791634.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations doi: 10.1137/100791634

Reference 1133

Resolution: unresolved; no resolver link, observed 2026-08-05T22:59:09.937194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42feefbf-58bd-483d-9b24-b7020eb48a9c · outbound

This paper cites Astrophysical Particle Simulations on Heterogeneous CPU-GPU Systems.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Astrophysical Particle Simulations on Heterogeneous CPU-GPU Systems

Reference 1199

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:59:18.820477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 25008e77-b05c-4662-b0be-66a9efe6d89a · outbound

This paper cites an unresolved cited work.

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations Unresolved cited work

Reference 4020

Resolution: verified exact; doi, observed 2026-08-05T22:59:17.514392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 89cba56b-0e48-49c9-af1e-6b74ae1aaf37 · inbound

Towards Fully Dynamic Omnitrees: Moment-Conserving Anisotropic Compression With Wavelets cites this paper.

Towards Fully Dynamic Omnitrees: Moment-Conserving Anisotropic Compression With Wavelets The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations

Reference 36

Resolution: metadata mismatch; local_arxiv, observed 2026-07-11T12:07:59.319763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.