{"as_of":"2026-08-09T08:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:75b2338109b2d4b63633b17f77fe8c0d79c38de096aabdd0a17aa01679cddb51","coverage":[{"denominator":103,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T20:21:00.796802Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2509.08675/citation-record","integrity":"/paper/2509.08675/integrity","json":"/paper/2509.08675/citation-record.json","paper":"/paper/2509.08675"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.349408Z","title":"Modeling cell migration regu- lated by cell extracellular-matrix micromechanical cou- pling,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.349408Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:923d5c1affcbef45ff75afc3d5c0cfb9a8870d7450a1b5fb1dd208c102b1006e","observation_id":"a52498d6-904e-41bb-b3e3-26f6ee571ed8","resolution":{"observed_at":"2026-08-04T20:21:00.349408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.354247Z","title":"Enhanced comprehensive perfor- mance of bonding interface between cfrp and steel by a novel film adhesive,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.354247Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:4f894e781877b0c95bc8313c941ff724b94da0b1b8466f81599afc8d6bd16103","observation_id":"523f7eee-a25a-40e9-9474-507fb4fb4984","resolution":{"observed_at":"2026-08-04T20:21:00.354247Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.358959Z","title":"Liq- uid metal-filled phase change composites with tunable stiffness: Computational modeling and experiment,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.358959Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:d9b4189f72aa9d72a15da8d383cb084335a4297f526cd8d0670ce2d32da9309d","observation_id":"46c1b3eb-1591-4c05-8c56-781c09739a28","resolution":{"observed_at":"2026-08-04T20:21:00.358959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.363583Z","title":"A review article: investigations on soft materials for soft robot manipulations,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.363583Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ad044afafc52a248ee5488ee8186b09f846eef2137c018fdeee6f54a4c701581","observation_id":"af367515-ea36-4999-bf5b-cbbc22293333","resolution":{"observed_at":"2026-08-04T20:21:00.363583Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.368443Z","title":"Robust three- component elastomer–particle–fiber composites with tunable properties for soft robotics,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.368443Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:c7640cef6d8969dc3aced1d938e1b6a4a519574ac59d458ce11b68829f4dbfc9","observation_id":"4b44278c-71e8-41d6-b2e9-399a2f5031de","resolution":{"observed_at":"2026-08-04T20:21:00.368443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.372989Z","title":"Strongly anisotropic waveguide as a nonmagnetic left- handed system,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.372989Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:4e512dcd9fa0745771b3f7ac8ddc8b6606b9265db6cd93b17823a680bac7c8f7","observation_id":"8ab464f5-3ef0-46f6-be05-a05881f45a17","resolution":{"observed_at":"2026-08-04T20:21:00.372989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.377884Z","title":"Dis- persion relation for general anisotropic media,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.377884Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:7915e0d713175e4aa1bb3a82728a802de57ce023367a166c46f798607a1d8853","observation_id":"1eedf229-a2df-454a-ac11-e78c8a75d19f","resolution":{"observed_at":"2026-08-04T20:21:00.377884Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.382128Z","title":"Dispersion relation for electromagnetic waves in anisotropic media,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.382128Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:16904202465576e8770ebe1306ddbe73545afb157320e9cc743c4339624bcf2b","observation_id":"ace18fa3-4570-4899-aa6e-b4dedf52d600","resolution":{"observed_at":"2026-08-04T20:21:00.382128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.386654Z","title":"Extraordinary op- tical and transport properties of disordered stealthy hy- peruniform two-phase media,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.386654Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:97345ca20eeb502d720540bfcfb6a17b059a5bc5a75ba691ce084217303d8fa6","observation_id":"f65ddc9d-0b37-43c2-ad29-456b8a9a2920","resolution":{"observed_at":"2026-08-04T20:21:00.386654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.391149Z","title":"Random heterogeneous materi- als: microstructure and macroscopic properties,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.391149Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:4905f7a0b89c3b4ed866e6bf9af3f074a8bc98da50569c38d04c3534a4e44682","observation_id":"82673e8f-225f-4213-8b54-d68717b91f7b","resolution":{"observed_at":"2026-08-04T20:21:00.391149Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.395472Z","title":"Sahimi,Heterogeneous Materials I: Linear trans- port and optical properties, Vol","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.395472Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:d6ba335aad3ff596f33d0d888c28384dfe5ec76883714359303ff0a716f51dcd","observation_id":"5b7b3409-c4e1-43b5-bb71-64c34948380d","resolution":{"observed_at":"2026-08-04T20:21:00.395472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.399677Z","title":"Design of smart composite materials using topology optimiza- tion,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.399677Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:9868a3cbde11763e9d0a04bfd7ec4cb9a5095a4a1a3ed8eae981a7e45305376d","observation_id":"51a293b3-9bfc-444c-9c79-9d10c90af8a7","resolution":{"observed_at":"2026-08-04T20:21:00.399677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.403993Z","title":"Design of ma- terials with extreme thermal expansion using a three- phase topology optimization method,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.403993Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:91f43f3217b22f6f2fc80a150e4aea9150c5d83e2d852360d00099f006da7038","observation_id":"1ed7524a-7601-4078-bcd7-c0fb51d62f5d","resolution":{"observed_at":"2026-08-04T20:21:00.403993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.408506Z","title":"High-throughput experiments and machine learning strategies for efficient exploration of additively manufactured inconel 625,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.408506Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:fdd57276cc9b7af80e4d7a4eda28254a35e84cb46dc39a0a75f07bc37cba941c","observation_id":"50659cff-6274-466e-9e46-cf9132043364","resolution":{"observed_at":"2026-08-04T20:21:00.408506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.413684Z","title":"Inverse stochastic microstruc- ture design,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.413684Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:3a56ba491dde82cd1397b3e7c3aeb653b3b304d16cfdbaa846430b7cb16f1886","observation_id":"e0081a88-0532-4f14-af5e-813f9edd556a","resolution":{"observed_at":"2026-08-04T20:21:00.413684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.417954Z","title":"Active learning for regression of structure–property mapping: the importance of sampling and representa- tion,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.417954Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:e368ba690fb75861eb474a06c9d011b85b4ed09aae32f21e51edde669b1d6d3b","observation_id":"d528f77e-d4e1-4325-b87e-1819f3a5853a","resolution":{"observed_at":"2026-08-04T20:21:00.417954Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.422329Z","title":"A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.422329Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:3c6627f778b8237ba0382e6640628d10edf89e5f6aa2a30ae5a6162984a8449d","observation_id":"23314ba1-7716-44d9-b2d0-90eb41b99ed9","resolution":{"observed_at":"2026-08-04T20:21:00.422329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.426573Z","title":"Machine learning and materials in- formatics approaches for predicting transverse mechan- ical properties of unidirectional cfrp composites with mi- crovoids,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.426573Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:a609329d9135f57e65b2b4a48eba1358f29e038a83a72638e77e2b89c203bd9f","observation_id":"f5c5625f-8ec7-4f1e-8df4-5f3b485b6a34","resolution":{"observed_at":"2026-08-04T20:21:00.426573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.430881Z","title":"Inverse design of microstructures using conditional continuous normal- izing flows,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.430881Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b42dc9a20fa2e6162b6daf6717f0662e4b5d766880853de03a1185dbf3288d74","observation_id":"8e0653fa-aabc-4300-bfdf-674bf0fa3598","resolution":{"observed_at":"2026-08-04T20:21:00.430881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.435155Z","title":"Improving direct physical properties predic- tion of heterogeneous materials from imaging data via convolutional neural network and a morphology-aware generative model,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.435155Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:a7cb7657bda1a57a5119b7212ab8e1a63dd7b56b6a8eb2cc1119e68246f86b7b","observation_id":"87267cfb-8257-4d52-abd6-6ce258b96079","resolution":{"observed_at":"2026-08-04T20:21:00.435155Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.439597Z","title":"Data-driven learning of 3-point correlation functions as microstruc- ture representations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.439597Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:c4a4fe843fb438da006b20cf9e95c732a3b381f18080171a678d5eecc35812bf","observation_id":"56c4ae26-9712-4e93-89f5-945bb98e4ab3","resolution":{"observed_at":"2026-08-04T20:21:00.439597Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.443891Z","title":"Correlation-function-based microstructure design of alloy-polymer composites for dynamic dry adhesion tun- ing in soft gripping,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.443891Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:8b8fe00288e4e8c4b3f67ea08f8c2c70735feecabca44de1678c8cccfd2c09ae","observation_id":"0cf453f3-9353-4f6b-b35a-92e9bb4fecd1","resolution":{"observed_at":"2026-08-04T20:21:00.443891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.448486Z","title":"Computational mi- crostructure characterization and reconstruction: Re- view of the state-of-the-art techniques,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.448486Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:1993bd3d889dd38115bb8a60d59b6c0138c87a348d87a0ef2a105b5051c38a6f","observation_id":"70648cc9-b039-48be-930d-0b6d8fab9582","resolution":{"observed_at":"2026-08-04T20:21:00.448486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.453241Z","title":"Recon- struction, optimization, and design of heterogeneous materials and media: Basic principles, computational algorithms, and applications,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.453241Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:3eba449b67c62147b4843572867883f490d5a35b0023182e6f828e6a5f7863c0","observation_id":"d1135202-06af-483f-b771-567604cec031","resolution":{"observed_at":"2026-08-04T20:21:00.453241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.458186Z","title":"Reconstructing ran- dom media,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.458186Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b4af3d5c9530e96595a93210c43df7236da7edf9ae28c44960b071b6e0d727ca","observation_id":"27ac46d0-9fd6-49c0-a809-252e5e9b8472","resolution":{"observed_at":"2026-08-04T20:21:00.458186Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.462361Z","title":"Reconstructing random media. ii. three-dimensional media from two- dimensional cuts,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.462361Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:5c97a7a7ace5cc692b73e12d5269c40ec2678898c5f4de2f782bdc80be3d5e9a","observation_id":"f7b862c0-1d9d-4730-a6e7-0736d1cd64e1","resolution":{"observed_at":"2026-08-04T20:21:00.462361Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.466653Z","title":"Statistical reconstruction of three- dimensional porous media from two-dimensional im- ages,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.466653Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ebfb27f9788553e2c0421a805d7ae645cc4800bdf4a1399d9cf48af62a13d3a2","observation_id":"80e202ac-cfb2-4ff2-9a86-c3259b51f0f9","resolution":{"observed_at":"2026-08-04T20:21:00.466653Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.471102Z","title":"De- lineation of the space of 2-point correlations in a com- posite material system,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.471102Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:56fa29175906be92547b01c6eb72b23969c45d3f42b1c86e3aacf4ab76281766","observation_id":"a524a47d-91e2-48f3-b3ef-6171e793bdd3","resolution":{"observed_at":"2026-08-04T20:21:00.471102Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.475398Z","title":"Pore space re- construction using multiple-point statistics,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.475398Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:c47636b04ffbe57114be90fd3efdee0bfb9fc7ecf04cb4c2abdf81f55bc97b16","observation_id":"61f57820-50b1-4b85-8469-7ac6293ecc3a","resolution":{"observed_at":"2026-08-04T20:21:00.475398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.479575Z","title":"Modeling heterogeneous materials via two-point correlation func- tions: Basic principles,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.479575Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:bb48100a41b71681b39a705b2674ef5885e472b9acc6c89c3d1a9fddd5f38653","observation_id":"5c4f2263-acf8-4b64-8f7d-56c9674c2301","resolution":{"observed_at":"2026-08-04T20:21:00.479575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.483581Z","title":"Modeling heterogeneous materials via two-point correlation func- tions. ii. algorithmic details and applications,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.483581Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:28e3feefdcb07a5091671cf59a09aa95db10d78508fba36201b202677048fd40","observation_id":"7a514ddf-6ac0-471f-8bfe-0c5b0dcc947f","resolution":{"observed_at":"2026-08-04T20:21:00.483581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.487842Z","title":"A multiple-point statistics algorithm for 3d pore space reconstruction from 2d images,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.487842Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:d0ca59f2b206a288df29ef92d5caa7010f4af5118a78ecaee862c0df2df79537","observation_id":"b72d2a18-34de-485f-8d85-9860ac0d6ab1","resolution":{"observed_at":"2026-08-04T20:21:00.487842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.491965Z","title":"Cross- correlation function for accurate reconstruction of het- erogeneous media,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.491965Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:5566b069a97c0be7e5c160e079a221ce1f46f83f1faf14ca860cb561dcfc802a","observation_id":"b953cb16-5e58-48d7-b811-91869ddce378","resolution":{"observed_at":"2026-08-04T20:21:00.491965Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.496435Z","title":"Multiple-point geostatistical modeling based on the cross-correlation functions,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.496435Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:02de3ee22b1b167417c1ded77e6e57e873e737d4bf1f1985462c483bc129a362","observation_id":"5a3653ab-34dd-4810-abcc-fcb35a8bb371","resolution":{"observed_at":"2026-08-04T20:21:00.496435Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.501084Z","title":"Stochastic reassembly strategy for man- aging information complexity in heterogeneous materi- als analysis and design,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.501084Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b9c9e1a88751c6828caab66856e45e123c56f18cd68c37c5fc33efb7eac41513","observation_id":"7cfeb95c-6e54-4e97-ac7a-408da7834fa4","resolution":{"observed_at":"2026-08-04T20:21:00.501084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.505520Z","title":"A descriptor-based design methodology for developing heterogeneous microstructural materials system,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.505520Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ba8ac2d9bc7dcd92710cb2475a9c87d945210dda5b8960f25dc147271c83e18d","observation_id":"034428fe-dcf2-48d0-b236-542e40e8b5ae","resolution":{"observed_at":"2026-08-04T20:21:00.505520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.511032Z","title":"Microstruc- ture representation and reconstruction of heterogeneous materials via deep belief network for computational ma- terial design,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.511032Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:06abbb91ca7e2a35c0937c8c2f47d52c7e8f7442c85ed3ec5fc3c25b7300bd0a","observation_id":"ec438f66-33ce-4f0d-86eb-012cd96f2810","resolution":{"observed_at":"2026-08-04T20:21:00.511032Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.515439Z","title":"Mi- crostructural materials design via deep adversarial learning methodology,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.515439Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:3bb1e337fe2f410c2d29cbec59277d17fbb76c5ae54d7f80727ab3ed0955e0c9","observation_id":"f6aaf7a9-309b-4cdc-8876-79803560e49e","resolution":{"observed_at":"2026-08-04T20:21:00.515439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.519813Z","title":"A transfer learning approach for microstructure reconstruction and structure-property predictions,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.519813Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:1d63321863eab2f6bfa5d4bb4f5781f6eeb882af47543f9bbaa622e2ba4dbf54","observation_id":"c8c45ed1-3e2b-44ac-9074-7bb71c1a5daf","resolution":{"observed_at":"2026-08-04T20:21:00.519813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.524266Z","title":"A spectral den- sity function approach for active layer design of organic photovoltaic cells,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.524266Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:5da1045f75d6a5f7c88c3fee0b0f2cd7546cc7b4739d1919977116300ac26e6b","observation_id":"67fb5a9f-2865-4bf2-90c2-c4ae3c658f30","resolution":{"observed_at":"2026-08-04T20:21:00.524266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.528475Z","title":"Quantifying phase mixing and separation behaviors across length and time scales,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.528475Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:08b2d256c47358db3e9bd4c1d401a59cd40b82971963ff8825026c9c64f6c85c","observation_id":"2f160ed3-9fa7-4b83-8425-ecf35325ccf4","resolution":{"observed_at":"2026-08-04T20:21:00.528475Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.533505Z","title":"Fast generation of spectrally shaped disorder,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.533505Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:501e05fc00ff05c15b1b970521426d1e0bbd5b915765907168fab82ca2889791","observation_id":"8d33beae-9d12-49f3-b271-0d4635ce934f","resolution":{"observed_at":"2026-08-04T20:21:00.533505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.537904Z","title":"Gyromorphs: a new class of functional disordered ma- terials,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.537904Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:99aa48a402b774ae6747834a81e2b8e5942b4d7a9801984059b69a301fa784e0","observation_id":"b5aba74e-30ef-47ab-9b22-1e9f2839f825","resolution":{"observed_at":"2026-08-04T20:21:00.537904Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.542202Z","title":"Torquato,Random Heterogeneous Materials: Mi- crostructure and Macroscopic Properties(Springer- Verlag, New York, 2002)","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.542202Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:a5ce5697e7a8b366c78f416ee050d4012888c6f712ca07a979e886b40ca7a2c1","observation_id":"bbd224c5-92f7-49c7-8273-f43a1648f9ae","resolution":{"observed_at":"2026-08-04T20:21:00.542202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.546803Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.546803Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:3de0b0a10ed48bfcd8ee8aed8c948e881a9c8d70061fafa3fec95971cff22319","observation_id":"c2041f4e-e26a-482a-ac26-85d6597e1989","resolution":{"observed_at":"2026-08-04T20:21:00.546803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.551613Z","title":"Designing disordered hype- runiform two-phase materials with novel physical prop- erties,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.551613Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:9d049371a0ccd9659655bfc9ca66aef542fb4b94d2beeed0d65c7890002b8f11","observation_id":"4d44177a-0535-4436-b268-78b997ee6256","resolution":{"observed_at":"2026-08-04T20:21:00.551613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.556102Z","title":"Computational design of anisotropic stealthy hyperuniform composites with en- gineered directional scattering properties,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.556102Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:29590cd4ed49c262c30e5ec286cc694bf9f877d909e165b9b4bc60ed024f1052","observation_id":"82585aec-b66b-4440-9ee9-8feaae4501fa","resolution":{"observed_at":"2026-08-04T20:21:00.556102Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.561086Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.561086Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:a263bb4e82d98e29bc7ad6058923bd01533e657a99284522fc5fac4b4b86a7f3","observation_id":"3192ccf4-c7ed-485a-8f76-98548decf527","resolution":{"observed_at":"2026-08-04T20:21:00.561086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.565647Z","title":"Effective stiffness tensor of composite me- dia—i. exact series expansions,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.565647Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:6259a4efaea2aad5a497b07cc70a1fb6f821d24c95d0e93aa36bdaac5c0f1e56","observation_id":"d56ec5d4-895a-4224-8dd0-23ed758c4daa","resolution":{"observed_at":"2026-08-04T20:21:00.565647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.569765Z","title":"Effective electrical conductivity of two- phase disordered composite media,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.569765Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:6aed59e2a1f154f4e42a9a1ace3be73d9a25ebaff53e47c9ae5aaf4dd2f96c7b","observation_id":"b0ecda5f-6b61-498b-972a-898ab8ee9d3c","resolution":{"observed_at":"2026-08-04T20:21:00.569765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.574242Z","title":"Effective elastic wave characteristics of composite media,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.574242Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:f1afd7844c86b7b3b8f392817ce1d4ff2c714d9aee6c3dc9d5307dfdaa0319cf","observation_id":"b9f364b4-a0f1-437e-87cc-cea35994cc29","resolution":{"observed_at":"2026-08-04T20:21:00.574242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.578666Z","title":"Nonlocal effective electromagnetic wave characteristics of composite me- dia: beyond the quasistatic regime,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.578666Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:170afdbd80144ed0dcf69f455f9ecff9cb19ce9d7934261a66f74df761408806","observation_id":"4b9b4eb4-a851-4b53-b115-eebfc27bafb0","resolution":{"observed_at":"2026-08-04T20:21:00.578666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.583375Z","title":"Effective electro- magnetic wave properties of disordered stealthy hyper- uniform layered media beyond the quasistatic regime,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.583375Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:f9edb94be7c1a753adf9577ae94d04fd48bce3abe45af3e6c0d3d5ff5a3aa704","observation_id":"4c3c21f7-41b9-42e2-bd48-357980dd8fe9","resolution":{"observed_at":"2026-08-04T20:21:00.583375Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.587777Z","title":"Diffusion spreadability as a probe of the microstructure of complex media across length scales,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.587777Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:fa9c5313652f3aea50232838eb464fda77bb352f30353d7b1d76254930b0e8a9","observation_id":"02ac9230-02f4-46a5-a908-0aa98b041d06","resolution":{"observed_at":"2026-08-04T20:21:00.587777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.592418Z","title":"Simulated diffusion spreadability for characterizing the structure and transport properties of two-phase materials,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.592418Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:72923c3ca0c4385aabc9924c695b9b7d1e959e922ca5947c50f76a7c105a7571","observation_id":"a9a958d2-8dde-4b12-859d-a03501ee22b7","resolution":{"observed_at":"2026-08-04T20:21:00.592418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.596799Z","title":"Rigorous bounds on the fluid permeability: Effect of polydispersivity in grain size,","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.596799Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:27536014353adc790fb386e66496213c5b36f7be6b67ea94b09e6fddf90bdb04","observation_id":"c5c4089d-a67a-45a7-bf0e-ed72dec97497","resolution":{"observed_at":"2026-08-04T20:21:00.596799Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.601550Z","title":"Predicting transport character- istics of hyperuniform porous media via rigorous microstructure-property relations,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.601550Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:04b4cd7cd8f9c2150ab31a5f682de7bb7939424b7dd5adf43cf25619b8a49e1d","observation_id":"91dd81b5-cafe-421f-85e0-d7097d8f49ad","resolution":{"observed_at":"2026-08-04T20:21:00.601550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.605842Z","title":"Optimization by simulated annealing,","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.605842Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ddc582792b180dc86a088a197a9f9e2999c10cef51478d7bc029aa49a5e722f7","observation_id":"10642bd6-132f-4051-811b-6d590e60489c","resolution":{"observed_at":"2026-08-04T20:21:00.605842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.610348Z","title":"Local density fluctu- ations, hyperuniformity, and order metrics,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.610348Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:8d7de9b92aa45f0138eb6b79f3203a9fcfc161aecac2abc18c481cc3238c7121","observation_id":"40600d94-9945-4b1a-af47-1b3995f407ce","resolution":{"observed_at":"2026-08-04T20:21:00.610348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.614723Z","title":"Hyperuniformity in point patterns and two-phase random heterogeneous media,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.614723Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b7c61f73d5735f9d9f7b2f0cd66bfd1cf7d36f71e41c8883a2b5eb68d2070753","observation_id":"04acfa1d-5d33-43ae-a51f-569965198685","resolution":{"observed_at":"2026-08-04T20:21:00.614723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.619996Z","title":"Hyperuniformity and its generalizations,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.619996Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:8a62c7a649dc8a83c75d84a9941705399a44a04b3d43b8a6c2a59693c471763d","observation_id":"17d53ab8-4f68-4113-9cb3-6eaafc269cb7","resolution":{"observed_at":"2026-08-04T20:21:00.619996Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.624821Z","title":"Hyperuniform states of matter,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.624821Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:f711f5e666670838db14c9363a71d3922565aba051ae768813beb63c0b6d899d","observation_id":"f1bd7f1b-9756-46db-b9a9-5f3756f4de01","resolution":{"observed_at":"2026-08-04T20:21:00.624821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.628824Z","title":"Designer disordered materials with large, com- plete photonic band gaps,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.628824Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:14dc28a70fe1b0db594f55ed534d6e80a5cd0fdefb4513e1aa2d550a3ec784fc","observation_id":"0ea1de96-2d5e-4fa9-b023-f4ac508dabf7","resolution":{"observed_at":"2026-08-04T20:21:00.628824Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.632969Z","title":"Photonic band gap in isotropic hyper- uniform disordered solids with low dielectric contrast,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.632969Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:45841296ce3735d91f2ad5422ab4974924f456e5fc718eea5e1c0ec615871a4e","observation_id":"2c73ef2c-1a60-45c4-8bf1-893a278c9001","resolution":{"observed_at":"2026-08-04T20:21:00.632969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.637238Z","title":"Evolving scattering networks for engineer- ing disorder,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.637238Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ca296a4d113aed590a651dc5485c96a02e7b8599ab6b5edb01dce3b9a7ce29ad","observation_id":"4fbab384-4d35-4b13-bf7b-cbbb91f70f8b","resolution":{"observed_at":"2026-08-04T20:21:00.637238Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.641723Z","title":"Near-field investigation of lumi- nescent hyperuniform disordered materials,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.641723Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:4739d19048a8aeabd8c5bc35cbc370b4805599fc9bc3edd5d543044bdf3aa951","observation_id":"55a58f20-cbd3-40c1-9a25-2e6597de6c4e","resolution":{"observed_at":"2026-08-04T20:21:00.641723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.646073Z","title":"Hearing the shape of a drum for light: isospectrality in photonics,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.646073Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b5800a6ee4b869033287231d855a64851a42035a10217c74232ff7ef1831e975","observation_id":"c5102093-844a-442d-b75c-6608263ee928","resolution":{"observed_at":"2026-08-04T20:21:00.646073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.650889Z","title":"Wave propagation and band tails of two- dimensional disordered systems in the thermodynamic limit,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.650889Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:651a79a8ed579b756da168480657f3468a72ca3f5b91e306de2c0ed96001dc46","observation_id":"5930e4c0-413f-4312-909e-9a203547c74b","resolution":{"observed_at":"2026-08-04T20:21:00.650889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.655614Z","title":"Over 65% sunlight absorption in a 1µm si slab with hyper- uniform texture,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.655614Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:79732098e1794d70bd2fda521a0e4981fc0ee7b95eb3eda2c61a2501c0f8590b","observation_id":"12b6efe3-ec00-4bf2-9193-7e32b09b7755","resolution":{"observed_at":"2026-08-04T20:21:00.655614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.659885Z","title":"Wave transport in stealth hyperuniform materials: The diffu- sive regime and beyond,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.659885Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:c3ef3a53ddcec03c2c0b4cfe6c35668e0a03a35d1e56cad037f2d661da143a36","observation_id":"e3e75b47-6d13-44aa-8420-96aa04ac4beb","resolution":{"observed_at":"2026-08-04T20:21:00.659885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.664187Z","title":"Engineered disorder in photonics,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.664187Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ee007c52e0c86556b01b838035aae4d2869d9b1b45948271a063962466e7e294","observation_id":"87f64acf-a596-4af8-93ff-5104deb8f152","resolution":{"observed_at":"2026-08-04T20:21:00.664187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.669575Z","title":"Biological tissue- inspired tunable photonic fluid,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.669575Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:41be0e78dce25bf0e5e5e94ed4360174095dc65d3c5e9cbd3b457e3988cec0dc","observation_id":"dcecc130-09ea-4d8d-bf1a-bfe4234a50db","resolution":{"observed_at":"2026-08-04T20:21:00.669575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.674575Z","title":"Transport, geometrical, and topological properties of stealthy dis- ordered hyperuniform two-phase systems,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.674575Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:26c44d1581d99a6f33bd471ffff51aa51565a627cfa623471945a825dfa1f7d5","observation_id":"e8cc6f41-585f-4487-8eb5-81bb3711cc34","resolution":{"observed_at":"2026-08-04T20:21:00.674575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.678751Z","title":"Characterization of void space, large- scale structure, and transport properties of maximally random jammed packings of superballs,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.678751Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:31f61ce96bc859d2338b4ed6da072d213c01549ee7a8ff70bea593f1abe3e809","observation_id":"1254634a-8f1b-4f13-9f5d-4846f0c86bfd","resolution":{"observed_at":"2026-08-04T20:21:00.678751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.683097Z","title":"Microstructure and mechan- ical properties of hyperuniform heterogeneous materi- als,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.683097Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:4c1e479f360bf99996e15cc3b72bd0326183433c7e8683bb524360bd8665c954","observation_id":"f7526741-bc6d-4bbf-9470-ccbc2b9077f0","resolution":{"observed_at":"2026-08-04T20:21:00.683097Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.687469Z","title":"Anisotropic suppression of hyperuniformity of elastic systems in media with planar disorder,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.687469Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:da23712b19ae9d722a6b99b0363029635aeb4c541b9e27e87a436fdc639a9244","observation_id":"725c6080-85c8-46ef-93f4-63049db8fd9e","resolution":{"observed_at":"2026-08-04T20:21:00.687469Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.692126Z","title":"Multifunctional composites for elastic and electromagnetic wave prop- agation,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.692126Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:50a67ccc5dd60740340bb262dc4b2c04acc21e1448f1908aafdb337f40027518","observation_id":"1bde9fae-f5c8-4abe-bccf-7415461cf687","resolution":{"observed_at":"2026-08-04T20:21:00.692126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.696508Z","title":"Unexpected density fluctuations in jammed disordered sphere packings,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.696508Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:a67e376cecd1e79c2c1ff33c521091f400f5a9555eec71eb65abe0315a6d8105","observation_id":"c748e04f-d992-44a3-aa27-bb821f9b4574","resolution":{"observed_at":"2026-08-04T20:21:00.696508Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.700984Z","title":"Noise, diffusion, and hyperuniformity,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.700984Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:3623b2f3056e8e5d5d0682a8f2417e487ea802ea829f2dff46fe4334bd9a4752","observation_id":"4144872b-40fe-4fc2-808a-a2ff798470da","resolution":{"observed_at":"2026-08-04T20:21:00.700984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.705653Z","title":"Hyperuniform monocrystalline structures by spinodal solid-state dewetting,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.705653Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:bb406798d10befef0931d0f25af558fbcd99263b64fcd4db49d953b9edca880f","observation_id":"33982cdc-f0c8-4ecd-ba59-00319c576679","resolution":{"observed_at":"2026-08-04T20:21:00.705653Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.710366Z","title":"Quantum jamming transition to a correlated electron glass in 1t-tas 2,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.710366Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:0fbe7efd9d7e05b325e766030084449c496d8fbe117e149562a4bff2c0c23a82","observation_id":"c822effa-09ad-429f-b45d-ed6330963f11","resolution":{"observed_at":"2026-08-04T20:21:00.710366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.01429","last_updated":"2023-05-30T19:38:06Z","snapshot_observed_at":"2026-08-09T06:35:07.766797Z","submitted_at":"2023-02-02T21:43:15Z","title":"Approach to Hyperuniformity in a Metallic Glass-Forming Material Exhibiting a Fragile to Strong Glass Transition","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.01429","snapshot_observed_at":"2026-08-04T20:21:00.714740Z","title":"Approach to hyperuni- formity in a metallic glass-forming material exhibit- ing a fragile to strong glass transition,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.714740Z"},"links":{"cited_paper":"/paper/2302.01429","citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:8cb7db6666f06c70256c0c8c4744be146fc6c33e87492ad11c7e0bc258a1e2c8","observation_id":"7b50fd78-f135-42a8-8a39-36b18c73bf81","resolution":{"observed_at":"2026-08-04T20:21:00.714740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.720283Z","title":"Multihyperuniform long-range order in medium-entropy alloys,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.720283Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:d7443af853e3533f68391ccbd54b171c69ef4fe36dfd80e64adceec450957874","observation_id":"474b92c7-e0ed-43e3-9ae4-8fae30298ea6","resolution":{"observed_at":"2026-08-04T20:21:00.720283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.724614Z","title":"Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale pack- ing problem,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.724614Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:0f39bda528664dbeccfb1745b92dc12901eab9c48ef91cfd245a472d9cb1c4e4","observation_id":"d1ec0bb7-1776-4b6f-8528-c4f70b659a37","resolution":{"observed_at":"2026-08-04T20:21:00.724614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.729445Z","title":"The hidden order of turing patterns in arid and semi-arid vegetation ecosystems,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.729445Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:60f2171a3119c387c1378fc4149ee50cf228877796716aca1f9534bf5e7eaf8a","observation_id":"6730cba2-9b8c-4b50-87a1-7a02add37cbe","resolution":{"observed_at":"2026-08-04T20:21:00.729445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.734781Z","title":"Universal hyperuniform organization in looped leaf vein networks,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.734781Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:20d29aef2793fef23ddb715e8a2c5519d477a1c0c21ad0ebdf792f5263417fa2","observation_id":"37bbe232-a5ac-4096-8047-28f1c79a6732","resolution":{"observed_at":"2026-08-04T20:21:00.734781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.739222Z","title":"Random scalar fields and hy- peruniformity,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.739222Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:8b223d4499c5364723c65397b7f8b11e8d11fd223546ff7b06019b6dd48db791","observation_id":"7156e863-6b1c-4d62-a163-8a94eb4a9cf3","resolution":{"observed_at":"2026-08-04T20:21:00.739222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.743576Z","title":"Disordered hyperuniform heterogeneous materials,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.743576Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:5f31234953b5daaa5cd959657d6da0d8c0c922d7c4bb6664cd1f99566442a110","observation_id":"3fecd300-3b0c-469a-bc78-4feae182437b","resolution":{"observed_at":"2026-08-04T20:21:00.743576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.748028Z","title":"Hyperuniformity of quasicrystals,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.748028Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:2e297234aca929aeeb427a8ede462a4fb8f1114e8a1b09e0baca0a21288f1744","observation_id":"9b733197-4615-401a-a8ce-74026309e11a","resolution":{"observed_at":"2026-08-04T20:21:00.748028Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.752160Z","title":"Classical many-particle systems with unique disor- dered ground states,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.752160Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:4862045dbb92cd487018f4428e450473ea223518752feecfd37564d2cb07d121","observation_id":"341e76f2-4aaa-4de6-8754-dc8018b0dbc7","resolution":{"observed_at":"2026-08-04T20:21:00.752160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.756336Z","title":"Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.756336Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:c902eac472484822dc165ae49ec08ab44e4d69582521d979eefe37eed1727b69","observation_id":"c5f42f75-7108-4fd4-b72d-e038583cd389","resolution":{"observed_at":"2026-08-04T20:21:00.756336Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.760607Z","title":"Maximally random jammed packings of platonic solids: Hyperuniform long- range correlations and isostaticity,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.760607Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b110d9596343c0c1978523685a40f879a74154594262da351bb762b98ad7daae","observation_id":"e2fc8350-b5d7-4c44-b391-081a1f2596a8","resolution":{"observed_at":"2026-08-04T20:21:00.760607Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.765118Z","title":"Hyperuni- formity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle pack- ings. i. polydisperse spheres,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.765118Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ccc0080f24d3c279e7a9712f21c3c85dd7428a6559750f18934b3aaf7ae83fe4","observation_id":"e2afa70a-a0b5-403b-942a-f2666629be98","resolution":{"observed_at":"2026-08-04T20:21:00.765118Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.769971Z","title":"Hyperuni- formity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle pack- ings. ii. anisotropy in particle shape,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.769971Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:c0d1f541ed2ba998bb1a4fd971f720d86baa812361fc123ee134421a430f819d","observation_id":"a9fe6159-8036-47f6-a1bd-b7c8184a9329","resolution":{"observed_at":"2026-08-04T20:21:00.769971Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.775328Z","title":"Anomalous local co- ordination, density fluctuations, and void statistics in disordered hyperuniform many-particle ground states,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.775328Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:b48d5bfaf67fa26b0b47f1dac7a505bfd8c074ddc6b2902bed8c9870effe0dbc","observation_id":"5c7f9dc7-0a26-4156-be9c-0f89a668d814","resolution":{"observed_at":"2026-08-04T20:21:00.775328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.779495Z","title":"Hyperuniformity of critical absorbing states,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.779495Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:e36494ccbd99e8b95ba566b68d3730868c2551bca5205dab45c0914eff9f1ac1","observation_id":"0f1f5c0f-c693-4ad0-a95f-fe9b44cbe64a","resolution":{"observed_at":"2026-08-04T20:21:00.779495Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.783541Z","title":"Effect of imperfections on the hyperuniformity of many-body systems,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.783541Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:e6f7bf0abc0e71913c57c13c74e764518b925a255834fb0f4418b959de585d19","observation_id":"7be53d91-bd65-441c-b933-6c0c81f4394b","resolution":{"observed_at":"2026-08-04T20:21:00.783541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.787892Z","title":"Local number fluctuations in hyperuniform and non- hyperuniform systems: Higher-order moments and dis- tribution functions,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.787892Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:e4838d9f8464dae7b848d574a46e76d1a47db905879396a4315dbd1247c91909","observation_id":"26cc54c9-cee4-419d-9312-0a56bf684158","resolution":{"observed_at":"2026-08-04T20:21:00.787892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.792342Z","title":"Simula- tion of stochastic processes by the spectral representa- tion method,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.792342Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:e6d24c46844e84340e9275933a26b4b390aa0b9086873c8691c9aa2c1b1c3b79","observation_id":"f35a4760-a82d-4742-bfd5-b9031e969406","resolution":{"observed_at":"2026-08-04T20:21:00.792342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T20:21:00.796802Z","title":"Simulation of sta- tionary gaussian processes by circulant embedding of the covariance matrix,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-04T20:21:00.796802Z"},"links":{"citing_paper":"/paper/2509.08675"},"observation_digest":"sha256:ea04486a5620c4b89867fb91632bd0482a5912d7343e6be6e6ee365919b98e61","observation_id":"9de1986a-92c8-4ef2-b9f6-68bafcf65a14","resolution":{"observed_at":"2026-08-04T20:21:00.796802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.08675","last_updated":"2025-09-10T15:15:09Z","latest_version":1,"primary_category":"cond-mat.mtrl-sci","snapshot_observed_at":"2026-08-07T19:54:58.899469Z","submitted_at":"2025-09-10T15:15:09Z","title":"Ultra-Efficient Reconstruction of Anisotropic Hyperuniform Continuous Random Fields in 2D and 3D via Generalized Spectral Filtering"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":100,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":103},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 100 of 103 outbound references and 0 inbound Pith citation observations for arXiv:2509.08675."}