{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:UQT77CGTCRHLNKB6TO777DCHSB","short_pith_number":"pith:UQT77CGT","schema_version":"1.0","canonical_sha256":"a427ff88d3144eb6a83e9bbfff8c479062eea69460cd51d1ec1dee0240edc64e","source":{"kind":"arxiv","id":"2404.16819","version":2},"attestation_state":"computed","paper":{"title":"Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Paul J. Steinhardt, Peter K. Morse, Salvatore Torquato","submitted_at":"2024-04-25T17:58:16Z","abstract_excerpt":"In previous work [Phys. Rev. X 5, 021020 (2015)], it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier-space in the sense that the the structure factor is exactly zero in a spherical region around the origin in analogy with the pair-correlation function of real-space hard spheres. In this work, we exploit this correspondence to confirm that the densest Fourier-space hard-sphere system is that of a Bravais lattice. This is in contrast to real-space hard-spheres, whose densest configuration is conjectured to be disordered. We also extend the virial series pr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2404.16819","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-04-25T17:58:16Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"185c5f277b381c58813bf463fc20666c157d9ebbd08c3d26995e68ca7baad24c","abstract_canon_sha256":"e3125fe8c03bba8fd777ea50fb9a3f85027aaebdfeeeb81ddc15f9bc531195b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:12:51.062259Z","signature_b64":"7n2YzMWPpmgwY9HvRW9k04kFqLmRWO3qmMHtpJrhWENzC4mFPZaXGCY2hfnsPm0B35GbeOs4htv6Rln0QS5hAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a427ff88d3144eb6a83e9bbfff8c479062eea69460cd51d1ec1dee0240edc64e","last_reissued_at":"2026-07-05T08:12:51.061826Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:12:51.061826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Paul J. Steinhardt, Peter K. Morse, Salvatore Torquato","submitted_at":"2024-04-25T17:58:16Z","abstract_excerpt":"In previous work [Phys. Rev. X 5, 021020 (2015)], it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier-space in the sense that the the structure factor is exactly zero in a spherical region around the origin in analogy with the pair-correlation function of real-space hard spheres. In this work, we exploit this correspondence to confirm that the densest Fourier-space hard-sphere system is that of a Bravais lattice. This is in contrast to real-space hard-spheres, whose densest configuration is conjectured to be disordered. We also extend the virial series pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.16819","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.16819/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2404.16819","created_at":"2026-07-05T08:12:51.061883+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.16819v2","created_at":"2026-07-05T08:12:51.061883+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.16819","created_at":"2026-07-05T08:12:51.061883+00:00"},{"alias_kind":"pith_short_12","alias_value":"UQT77CGTCRHL","created_at":"2026-07-05T08:12:51.061883+00:00"},{"alias_kind":"pith_short_16","alias_value":"UQT77CGTCRHLNKB6","created_at":"2026-07-05T08:12:51.061883+00:00"},{"alias_kind":"pith_short_8","alias_value":"UQT77CGT","created_at":"2026-07-05T08:12:51.061883+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB","json":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB.json","graph_json":"https://pith.science/api/pith-number/UQT77CGTCRHLNKB6TO777DCHSB/graph.json","events_json":"https://pith.science/api/pith-number/UQT77CGTCRHLNKB6TO777DCHSB/events.json","paper":"https://pith.science/paper/UQT77CGT"},"agent_actions":{"view_html":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB","download_json":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB.json","view_paper":"https://pith.science/paper/UQT77CGT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.16819&json=true","fetch_graph":"https://pith.science/api/pith-number/UQT77CGTCRHLNKB6TO777DCHSB/graph.json","fetch_events":"https://pith.science/api/pith-number/UQT77CGTCRHLNKB6TO777DCHSB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB/action/storage_attestation","attest_author":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB/action/author_attestation","sign_citation":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB/action/citation_signature","submit_replication":"https://pith.science/pith/UQT77CGTCRHLNKB6TO777DCHSB/action/replication_record"}},"created_at":"2026-07-05T08:12:51.061883+00:00","updated_at":"2026-07-05T08:12:51.061883+00:00"}