Paper Citation Record · LEDGER

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization

As of 9 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2506.04378.

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

pith.paper-citation-record.v1
2506.04378 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T10:50:51.086056Z

measured 40 of 40 standing notices

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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

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation a2a93cff-1c77-4f3e-b030-70523b84a1cb · outbound

This paper cites Metamaterial-based real-time communication with high information density by multipath twisting of acoustic wave.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Metamaterial-based real-time communication with high information density by multipath twisting of acoustic wave

Reference 1

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.449694Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fec0d511-d068-4102-925b-fe8336a9d7bc · outbound

This paper cites Exploring the fascinating world of combinational photonic devices: A review.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Exploring the fascinating world of combinational photonic devices: A review

Reference 2

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T10:50:52.608057Z

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Observation 604ae44a-8630-46bf-bbe3-b8d0e07cb89c · outbound

This paper cites preprint_Signal_processing.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization preprint_Signal_processing

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.776421Z

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Observation 2ed41785-a0a6-4b63-bdaf-aea4d21dbd59 · outbound

This paper cites Architected acoustic metamaterials: An integrated design perspective.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Architected acoustic metamaterials: An integrated design perspective

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.759956Z

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Observation d3d3974f-9723-4900-953e-69f98fc3ea00 · outbound

This paper cites Acoustic Metamaterials for Noise Reduction: A Review.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustic Metamaterials for Noise Reduction: A Review

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.742059Z

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Observation 0ad5754d-29b9-4584-9b46-194c0790ec1c · outbound

This paper cites Emerging topics in nanophononics and elastic, acoustic, and mechanical metamaterials: An overview.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Emerging topics in nanophononics and elastic, acoustic, and mechanical metamaterials: An overview

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.726678Z

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Observation 88a428be-a176-444b-ab2d-23073cf36879 · outbound

This paper cites Adaptive noise cancellation with directional microphones.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Adaptive noise cancellation with directional microphones

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.434156Z

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Observation 3006df27-78e6-4d9d-8861-848ac2193e9b · outbound

This paper cites Solid State Lasers XXIX : Technology and Devices.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Solid State Lasers XXIX : Technology and Devices

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.709784Z

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Observation 43b7fcf2-f330-4be2-bdbb-8ff4984d1e6f · outbound

This paper cites Architected Lattices for Simultaneous Broadband Attenuation of Airborne Sound and Mechanical Vibrations in All Directions.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Architected Lattices for Simultaneous Broadband Attenuation of Airborne Sound and Mechanical Vibrations in All Directions

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.418331Z

Source-reported events for the cited work

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Observation 97cf185e-26c3-4d87-9f58-0b2d783454c1 · outbound

This paper cites Metamaterials for simultaneous acoustic and elastic bandgaps.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Metamaterials for simultaneous acoustic and elastic bandgaps

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.401857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3813061d-7bfc-43cc-8584-d32b5c5b4266 · outbound

This paper cites Lightweight architected hollow sphere foams for simultaneous noise and vibration control.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Lightweight architected hollow sphere foams for simultaneous noise and vibration control

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.385654Z

Source-reported events for the cited work

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Observation c50d087f-0130-452b-b5b6-6b391b9bc341 · outbound

This paper cites Acoustoelastic phononic metamaterial for isolation of sound and vibrations.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustoelastic phononic metamaterial for isolation of sound and vibrations

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.369497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 61069839-dfcd-432e-a709-304e2846741a · outbound

This paper cites Local resonance – Helmholtz lattices with simultaneous solid-borne elastic waves and air-borne sound waves attenuation performance.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Local resonance – Helmholtz lattices with simultaneous solid-borne elastic waves and air-borne sound waves attenuation performance

Reference 13

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T10:50:52.523869Z

Source-reported events for the cited work

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Observation b6e7f24a-14ee-41cd-be8b-32687ce285a6 · outbound

This paper cites Acoustic Metamaterial with Fractal Coiling Up Space for Sound Blocking in a Deep Subwavelength Scale.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustic Metamaterial with Fractal Coiling Up Space for Sound Blocking in a Deep Subwavelength Scale

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.352131Z

Source-reported events for the cited work

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Observation 1476d884-03ba-42ba-90e1-0e25b3849e79 · outbound

This paper cites Tuning of acoustic bandgaps in phononic crystals with helmholtz resonators.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Tuning of acoustic bandgaps in phononic crystals with helmholtz resonators

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.334260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 74fdfd82-e87f-4c74-94b9-349cc2a23363 · outbound

This paper cites Acoustic band gaps of three-dimensional periodic polymer cellular solids with cubic symmetry.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustic band gaps of three-dimensional periodic polymer cellular solids with cubic symmetry

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.317554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8676e12f-943b-45eb-a07b-eba77dacb00d · outbound

This paper cites Acoustic band gaps and elastic stiffness of PMMA cellular solids based on triply periodic minimal surfaces.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustic band gaps and elastic stiffness of PMMA cellular solids based on triply periodic minimal surfaces

Reference 17

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.300031Z

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Observation 4c6b46f1-a913-4d06-a664-3d847a27f9d3 · outbound

This paper cites Insights into acoustic properties of seven selected triply periodic minimal surfaces-based structures: A numerical study.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Insights into acoustic properties of seven selected triply periodic minimal surfaces-based structures: A numerical study

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.281987Z

Source-reported events for the cited work

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Observation e3c31cbb-47d9-4fdd-be80-5f519882879b · outbound

This paper cites Gyroid-based acoustic materials and devices.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Gyroid-based acoustic materials and devices

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.693012Z

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Observation 99e0e05a-57e7-4c8a-a964-8cebce1a5794 · outbound

This paper cites Topological Surface States in a Gyroid Acoustic Crystal.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Topological Surface States in a Gyroid Acoustic Crystal

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.265591Z

Source-reported events for the cited work

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Observation 34f23383-3b27-4424-ad99-c02dd0b5ecfc · outbound

This paper cites An Extensive Parametric Analysis and Optimization to Design Unidimensional Periodic Acoustic Metamaterials for Noise Attenuation.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization An Extensive Parametric Analysis and Optimization to Design Unidimensional Periodic Acoustic Metamaterials for Noise Attenuation

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.247697Z

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Observation 9c912e0f-ab43-461e-a855-210993ff4f98 · outbound

This paper cites TOPOLOGY OPTIMIZATION OF ONE- DIMENSIONAL PERIODIC ACOUSTIC METAMATERIAL FOR AIRBORNE NOISE ATTENUATION.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization TOPOLOGY OPTIMIZATION OF ONE- DIMENSIONAL PERIODIC ACOUSTIC METAMATERIAL FOR AIRBORNE NOISE ATTENUATION

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.677210Z

Source-reported events for the cited work

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Observation e42fd080-cae9-44ce-b29d-891fdd785fb9 · outbound

This paper cites Induced transparency based subwavelength acoustic demultiplexers.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Induced transparency based subwavelength acoustic demultiplexers

Reference 23

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.228475Z

Source-reported events for the cited work

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Observation c3d0cfd0-927f-40ea-b8b6-51be64bbc5ed · outbound

This paper cites Multi-functional resonant acoustic wave router.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Multi-functional resonant acoustic wave router

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.207322Z

Source-reported events for the cited work

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Observation 223d2eba-e47c-48f1-a906-ab10ecb0b0ba · outbound

This paper cites Phononic crystal-based acoustic demultiplexer design via bandgap-passband topology optimization.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Phononic crystal-based acoustic demultiplexer design via bandgap-passband topology optimization

Reference 25

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Observation 58161c50-30b1-4e93-b6ca-c16d681361f7 · outbound

This paper cites Wave propagation in periodic structures : electric filters and crystal lattices.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Wave propagation in periodic structures : electric filters and crystal lattices

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.662295Z

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Observation e7fd4014-76af-40ad-a3b9-4db65303a181 · outbound

This paper cites Acoustic frequency filter based on anisotropic topological phononic crystals.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustic frequency filter based on anisotropic topological phononic crystals

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.187549Z

Source-reported events for the cited work

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Observation 604b7184-b9bc-4330-8478-af8258294c4c · outbound

This paper cites Tunable bandgaps and acoustic characteristics of perforated Miura-ori phononic structures.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Tunable bandgaps and acoustic characteristics of perforated Miura-ori phononic structures

Reference 28

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Observation 4fea897f-9873-49b9-a20a-001501e49fa0 · outbound

This paper cites Tunable auxetic metamaterials for simultaneous attenuation of airborne sound and elastic vibrations in all directions.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Tunable auxetic metamaterials for simultaneous attenuation of airborne sound and elastic vibrations in all directions

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.644834Z

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Observation 45f3db3a-3851-4f15-93df-cc0434caf0b4 · outbound

This paper cites Tunable Asymmetric Transmissions via Anisotropic Acoustic Metamaterials.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Tunable Asymmetric Transmissions via Anisotropic Acoustic Metamaterials

Reference 30

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Observation f92f45cb-cbe1-4946-94e5-260fa14970a5 · outbound

This paper cites Anisotropic metamaterials for full control of acoustic waves.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Anisotropic metamaterials for full control of acoustic waves

Reference 31

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Observation 5b785e55-00f1-4232-bf48-f1fd2fc1693d · outbound

This paper cites Novel hybrid minimal surface-based lattice materials.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Novel hybrid minimal surface-based lattice materials

Reference 32

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Source-reported events for the cited work

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Observation dda776b3-f059-41c5-af6d-1e8f092f94e8 · outbound

This paper cites Protective performance of hybrid triply periodic minimal surface lattice structure.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Protective performance of hybrid triply periodic minimal surface lattice structure

Reference 33

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Source-reported events for the cited work

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Observation c44099d4-cd10-40e2-b444-e85a9f123d5a · outbound

This paper cites A study of multi-stage energy absorption characteristics of hybrid sheet TPMS lattices.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization A study of multi-stage energy absorption characteristics of hybrid sheet TPMS lattices

Reference 34

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Observation 76188429-78eb-4da8-814d-09e4dbaccfa4 · outbound

This paper cites Mechanical and thermal property analysis and optimization design of hybrid lattice structure based on triply periodic minimal surfaces.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Mechanical and thermal property analysis and optimization design of hybrid lattice structure based on triply periodic minimal surfaces

Reference 35

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T10:50:51.937263Z

Source-reported events for the cited work

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Observation 6a269fd8-5984-4588-a0c2-6672b55cd130 · outbound

This paper cites Enhancing mechanical properties and damage tolerance of additive manufactured ceramic TPMS lattices by hybrid design.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Enhancing mechanical properties and damage tolerance of additive manufactured ceramic TPMS lattices by hybrid design

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.125174Z

Source-reported events for the cited work

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Observation 3a1d7c83-dbdd-4af1-b490-334e3cae83b3 · outbound

This paper cites On hybrid cellular materials based on triply periodic minimal surfaces with extreme mechanical properties.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization On hybrid cellular materials based on triply periodic minimal surfaces with extreme mechanical properties

Reference 37

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T10:50:51.738580Z

Source-reported events for the cited work

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Observation 4f7034a5-f878-4fbd-9cfc-e8a4fe003cff · outbound

This paper cites Topology Optimization Via Spatially-Varying TPMS.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Topology Optimization Via Spatially-Varying TPMS

Reference 38

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Source-reported events for the cited work

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Observation 48a5e8f2-8b9d-40cb-b528-8a11e623f4de · outbound

This paper cites Acoustics.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Acoustics

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:50:52.624491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 23d2a282-c26d-4039-8ec6-347ad37084af · outbound

This paper cites an unresolved cited work.

Hybrid TPMS-based Designs for Anisotropic Acoustic Metamaterials: Numerical Simulation and Topology Optimization Unresolved cited work

Reference 121

Resolution: verified exact; doi, observed 2026-08-07T10:50:51.170212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

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