Paper Citation Record · LEDGER

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation

As of 17 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 3 inbound Pith citation observations for arXiv:2512.21227.

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

pith.paper-citation-record.v1
2512.21227 v3

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T14:15:50.612940Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T16:17:26.963678Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T10:21:29.066521Z

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation 45135061-0634-47ca-9c7a-a3a0dd3561de · outbound

This paper cites A generative model for inorganic materials design.Nature, 639(8055):624–632, 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation A generative model for inorganic materials design.Nature, 639(8055):624–632, 2025

Reference 1

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Observation 24e101a3-2462-484b-909f-ceedbb9986e5 · outbound

This paper cites Schoenholz, Muratahan Aykol, Gowoon Cheon, and Ekin Dogus Cubuk.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Schoenholz, Muratahan Aykol, Gowoon Cheon, and Ekin Dogus Cubuk

Reference 2

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Observation b2853da6-9394-4c07-85a3-78864b07abec · outbound

This paper cites In- vDesFlow: AnAI-drivenmaterialsinversedesignworkflowtoexplorepossiblehigh-temperature superconductors.Chin.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation In- vDesFlow: AnAI-drivenmaterialsinversedesignworkflowtoexplorepossiblehigh-temperature superconductors.Chin

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:48.406828Z

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Observation e10d6a4f-9790-45e6-97e4-21ac12ed8244 · outbound

This paper cites AI-Driven Inverse Design of Materials: Past, Present, and Future.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation AI-Driven Inverse Design of Materials: Past, Present, and Future

Reference 4

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Observation 30c66f46-3250-4b5c-ad3f-8b478384f243 · outbound

This paper cites Denoising diffusion probabilistic models.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Denoising diffusion probabilistic models

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:48.608526Z

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Observation 275e2736-ea2d-4afa-8f50-d92e28ade884 · outbound

This paper cites Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:48.705144Z

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Observation 5e000749-4cd9-4540-a27e-6c10ff7b58a9 · outbound

This paper cites Crystal Structure Prediction by Joint Equivariant Diffusion on Lattices and Fractional Coordinates.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Crystal Structure Prediction by Joint Equivariant Diffusion on Lattices and Fractional Coordinates

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:48.828171Z

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Observation f65ad935-869e-419d-aaa2-391b41f62d7a · outbound

This paper cites Crystalflow: a flow-based generative model for crystalline materials.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Crystalflow: a flow-based generative model for crystalline materials

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:48.920404Z

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Observation 99e08f02-1dff-49d9-825e-9436de5e7357 · outbound

This paper cites Invdesflow-al: active learning-basedworkflowforinversedesignoffunctionalmaterials.npj Computational Materials, 11(1):364, 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Invdesflow-al: active learning-basedworkflowforinversedesignoffunctionalmaterials.npj Computational Materials, 11(1):364, 2025

Reference 9

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Observation 823e2fbe-714d-4010-bfb7-9ab2a3d3146f · outbound

This paper cites Crystal Diffusion Variational Autoencoder for Periodic Material Generation.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Crystal Diffusion Variational Autoencoder for Periodic Material Generation

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:49.135930Z

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Observation fa32f70c-f293-42ac-8123-0179bbb2d1d7 · outbound

This paper cites Con-CDVAE: A method for the condi- tional generation of crystal structures.Computational Materials Today, 1:100003, May 2024.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Con-CDVAE: A method for the condi- tional generation of crystal structures.Computational Materials Today, 1:100003, May 2024

Reference 11

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Observation 7ba78281-a3bc-4467-b30a-3e15a9cae326 · outbound

This paper cites Deep learning generative model for crystal structure prediction.npj Computa- tional Materials, 10(1):254, 2024.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Deep learning generative model for crystal structure prediction.npj Computa- tional Materials, 10(1):254, 2024

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:49.292529Z

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Observation d2a7ad21-b2f7-43bf-a2dd-737f95b2ff40 · outbound

This paper cites Space group informed transformer for crystalline materials generation.Science Bulletin, 70(21):3522–3533, 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Space group informed transformer for crystalline materials generation.Science Bulletin, 70(21):3522–3533, 2025

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:49.376792Z

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Observation df9bc024-301f-4aaf-b73e-d97feb5e234e · outbound

This paper cites CrystalFormer-RL: Reinforcement Fine-Tuning for Materials Design.arXiv preprint arXiv:2504.02367, 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation CrystalFormer-RL: Reinforcement Fine-Tuning for Materials Design.arXiv preprint arXiv:2504.02367, 2025

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:49.436055Z

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Observation 14384e5a-f911-4499-8431-3fae2689fefd · outbound

This paper cites Space group constrained crystal generation.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Space group constrained crystal generation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:49.503322Z

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Observation 211dfec7-0aa7-4310-bd5d-905277b8debd · outbound

This paper cites GPT-4 Technical Report.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation GPT-4 Technical Report

Reference 16

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Observation 6e06daa4-5bb1-489b-b778-e5dd3aa81449 · outbound

This paper cites Deepseek-r1 incentivizes reasoning in llms through reinforcement learning.Na- ture, 645(8081):633–638, 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Deepseek-r1 incentivizes reasoning in llms through reinforcement learning.Na- ture, 645(8081):633–638, 2025

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Resolution: unresolved; no resolver link, observed 2026-08-03T14:15:49.596892Z

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Observation fb48e186-5c48-4ed1-9261-bf76773b6e24 · outbound

This paper cites Antunes, Keith T.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Antunes, Keith T

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Observation 23dd569b-8bd7-414f-8480-e945be07abd1 · outbound

This paper cites an unresolved cited work.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Unresolved cited work

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Observation 30aa3933-e91e-4c73-8dfc-a21a32b4f1b6 · outbound

This paper cites an unresolved cited work.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Unresolved cited work

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Observation 74200a27-adf0-452b-a81e-8d48be267972 · outbound

This paper cites DPA-2: a large atomic model as a multi-task learner.npj Computational Materials, 10(1):293, 2024.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation DPA-2: a large atomic model as a multi-task learner.npj Computational Materials, 10(1):293, 2024

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Observation 2282405d-49b9-44e5-849a-05ebd9e57219 · outbound

This paper cites The physical significance of imaginary phonon modes in crystals.Electronic Structure, 4(3):033002, jul 2022.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation The physical significance of imaginary phonon modes in crystals.Electronic Structure, 4(3):033002, jul 2022

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This paper cites High-temperature superconductivity inli 2auh6 mediated by strong electron-phonon coupling under ambient pressure.Phys.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation High-temperature superconductivity inli 2auh6 mediated by strong electron-phonon coupling under ambient pressure.Phys

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Observation 1f01184c-5aab-4587-a072-ec1b0d2c8334 · outbound

This paper cites First principles phonon calculations in materials science.Scripta Materialia, 108:1–5, 2015.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation First principles phonon calculations in materials science.Scripta Materialia, 108:1–5, 2015

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Observation d7dd566c-4815-4e19-beb8-ca5c5658852c · outbound

This paper cites Phonons and relatedcrystalpropertiesfromdensity-functionalperturbationtheory.Rev.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Phonons and relatedcrystalpropertiesfromdensity-functionalperturbationtheory.Rev

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This paper cites Finding unprece- dentedly low-thermal-conductivity half-heusler semiconductors via high-throughput materials modeling.Phys.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Finding unprece- dentedly low-thermal-conductivity half-heusler semiconductors via high-throughput materials modeling.Phys

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This paper cites The openlam challenges: Lam crystal philately competition.Machine Learning: Science and Technology, 6(2):020701, jun 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation The openlam challenges: Lam crystal philately competition.Machine Learning: Science and Technology, 6(2):020701, jun 2025

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Observation f20fe74f-8141-4be7-9c76-f771ea8c2d78 · outbound

This paper cites Mattersim: A deep learning atomistic model across elements, temperatures and pressures, 2024.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Mattersim: A deep learning atomistic model across elements, temperatures and pressures, 2024

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Scalable parallel algorithm for graph neural network interatomic potentials in molecular dynamics simulations.J

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Bartel, and Gerbrand Ceder

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Observation bc5b171d-b410-4b30-a4be-ac08f1f9eec4 · outbound

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E

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This paper cites EquiformerV2: Improved Equiv- ariant Transformer for Scaling to Higher-Degree Representations.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation EquiformerV2: Improved Equiv- ariant Transformer for Scaling to Higher-Degree Representations

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Reducing SO(3) Convolutions to SO(2) for Efficient Equivariant GNNs

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Observation 6c44240e-f63d-4cf7-8dd2-78671a810ac9 · outbound

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Orb: A fast, scalable neural network potential, 2024

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Observation eff85f13-ea91-4449-b814-91ac4d26bb67 · outbound

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Orb-v3: atomistic simulation at scale, 2025

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Observation 21f37e50-0905-49f6-94c4-f2e7d38cb5c9 · outbound

This paper cites Improving the reliability of language model-predicted structures as docking targets through geometric graph learning.Journal of Medicinal Chem- istry, 68(2):1956–1969, 2025.

PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Improving the reliability of language model-predicted structures as docking targets through geometric graph learning.Journal of Medicinal Chem- istry, 68(2):1956–1969, 2025

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Observation 54017aa4-f286-4079-81ae-588299579c54 · outbound

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation Graph networks as a universal machine learning framework for molecules and crystals.Chemistry of Materials, 31(9):3564–3572, 2019

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PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation A universal graph deep learning interatomic potential for the periodic table.Nature Computational Science, 2(11):718–728, 2022

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Observation 9b479480-70c8-448c-b89a-b7d8081df345 · outbound

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Observation c7e22365-ad36-4448-a5fd-65a8b6aa920f · outbound

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Observation 85bdb056-cfce-40fe-85a5-490b17c0fc2c · outbound

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Observation 09448fe8-3170-4744-a58d-a5eb234b3716 · outbound

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Pith citing papers

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Inverse Design of Inorganic Compounds with Generative AI cites this paper.

Inverse Design of Inorganic Compounds with Generative AI PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation

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Observation 05e93faf-1b9c-475c-9d40-51d1bbcc6aab · inbound

VibroML: an automated toolkit for high-throughput vibrational analysis and dynamic instability remediation of crystalline materials using machine-learned potentials cites this paper.

VibroML: an automated toolkit for high-throughput vibrational analysis and dynamic instability remediation of crystalline materials using machine-learned potentials PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation

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Resolution: verified exact; arxiv_id, observed 2026-06-12T02:08:23.457247Z

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Observation 1fa2b470-283e-4921-b9a6-12e2eefb7370 · inbound

VASP Plugins: Linking the Vienna ab-initio Simulation Package with Python cites this paper.

VASP Plugins: Linking the Vienna ab-initio Simulation Package with Python PhononBench:A Large-Scale Phonon-Based Benchmark for Dynamical Stability in Crystal Generation

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