{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:W7FFOYD4VBK3HJY45OLO7XC323","short_pith_number":"pith:W7FFOYD4","schema_version":"1.0","canonical_sha256":"b7ca57607ca855b3a71ceb96efdc5bd6c1d9e4f3ae3c1c35a2d0f4e0ebd4bd35","source":{"kind":"arxiv","id":"1008.2747","version":2},"attestation_state":"computed","paper":{"title":"Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","math.MG"],"primary_cat":"cond-mat.stat-mech","authors_text":"Sal Torquato, Yang Jiao","submitted_at":"2010-08-16T19:42:32Z","abstract_excerpt":"We have formulated the problem of generating periodic dense paritcle packings as an optimization problem called the Adaptive Shrinking Cell (ASC) formulation [S. Torquato and Y. Jiao, Phys. Rev. E {\\bf 80}, 041104 (2009)]. Because the objective function and impenetrability constraints can be exactly linearized for sphere packings with a size distribution in $d$-dimensional Euclidean space $\\mathbb{R}^d$, it is most suitable and natural to solve the corresponding ASC optimization problem using sequential linear programming (SLP) techniques. We implement an SLP solution to produce robustly a wid"},"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":"1008.2747","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-16T19:42:32Z","cross_cats_sorted":["cond-mat.mtrl-sci","math.MG"],"title_canon_sha256":"7b26caaa68e8e04afadd9d68cd35bceb319cf1ba5587019b5c3f2bddfa3e55d8","abstract_canon_sha256":"4b40505e8ade936fb8060b6e2cc2f8a58ee5f180756b3b0f5a716ffd2451932f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:26.873133Z","signature_b64":"faR32Hoe/gvzuVrvFd2jcBvo+x67PtmuituYsH/ljFrBGGl+lItftGCzbfADmxq4FKbQHR+d8KDhv5FFcWUsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7ca57607ca855b3a71ceb96efdc5bd6c1d9e4f3ae3c1c35a2d0f4e0ebd4bd35","last_reissued_at":"2026-05-18T04:33:26.872447Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:26.872447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","math.MG"],"primary_cat":"cond-mat.stat-mech","authors_text":"Sal Torquato, Yang Jiao","submitted_at":"2010-08-16T19:42:32Z","abstract_excerpt":"We have formulated the problem of generating periodic dense paritcle packings as an optimization problem called the Adaptive Shrinking Cell (ASC) formulation [S. Torquato and Y. Jiao, Phys. Rev. E {\\bf 80}, 041104 (2009)]. Because the objective function and impenetrability constraints can be exactly linearized for sphere packings with a size distribution in $d$-dimensional Euclidean space $\\mathbb{R}^d$, it is most suitable and natural to solve the corresponding ASC optimization problem using sequential linear programming (SLP) techniques. We implement an SLP solution to produce robustly a wid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2747","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":""},"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":"1008.2747","created_at":"2026-05-18T04:33:26.872549+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2747v2","created_at":"2026-05-18T04:33:26.872549+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2747","created_at":"2026-05-18T04:33:26.872549+00:00"},{"alias_kind":"pith_short_12","alias_value":"W7FFOYD4VBK3","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"W7FFOYD4VBK3HJY4","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"W7FFOYD4","created_at":"2026-05-18T12:26:15.391820+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/W7FFOYD4VBK3HJY45OLO7XC323","json":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323.json","graph_json":"https://pith.science/api/pith-number/W7FFOYD4VBK3HJY45OLO7XC323/graph.json","events_json":"https://pith.science/api/pith-number/W7FFOYD4VBK3HJY45OLO7XC323/events.json","paper":"https://pith.science/paper/W7FFOYD4"},"agent_actions":{"view_html":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323","download_json":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323.json","view_paper":"https://pith.science/paper/W7FFOYD4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2747&json=true","fetch_graph":"https://pith.science/api/pith-number/W7FFOYD4VBK3HJY45OLO7XC323/graph.json","fetch_events":"https://pith.science/api/pith-number/W7FFOYD4VBK3HJY45OLO7XC323/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323/action/storage_attestation","attest_author":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323/action/author_attestation","sign_citation":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323/action/citation_signature","submit_replication":"https://pith.science/pith/W7FFOYD4VBK3HJY45OLO7XC323/action/replication_record"}},"created_at":"2026-05-18T04:33:26.872549+00:00","updated_at":"2026-05-18T04:33:26.872549+00:00"}