{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:C224HLWK6NL7COOMWBCFERVXGK","short_pith_number":"pith:C224HLWK","schema_version":"1.0","canonical_sha256":"16b5c3aecaf357f139ccb0445246b7329aef2b68dd382ceb1cf5bce11cc94d10","source":{"kind":"arxiv","id":"1008.1728","version":2},"attestation_state":"computed","paper":{"title":"Maximum and Minimum Stable Random Packings of Platonic Solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","math.MG"],"primary_cat":"cond-mat.stat-mech","authors_text":"Arshad Kudrolli, Jessica Baker","submitted_at":"2010-08-10T14:43:30Z","abstract_excerpt":"Motivated by the relation between particle shape and packing, we measure the volume fraction $\\phi$ occupied by the Platonic solids which are a class of polyhedron with congruent sides, vertices and dihedral angles. Tetrahedron, cube, octahedron, dodecahedron, and icosahedron shaped plastic dice were fluidized or mechanically vibrated to find stable random loose packing $\\phi_{rlp} = 0.51, 0.54, 0.52, 0.51, 0.50$ and densest packing $\\phi_{rcp} = 0.64, 0.67, 0.64, 0.63, 0.59$, respectively with standard deviation $\\simeq \\pm 0.01$. We find that $\\phi$ obtained by all protocols peak at the cube"},"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":"1008.1728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-10T14:43:30Z","cross_cats_sorted":["cond-mat.soft","math.MG"],"title_canon_sha256":"17eaf243607fd48c9675a6829b1b4c1bbbc6b0460cebd528e6ad2f61d12b45d5","abstract_canon_sha256":"dacb2cf995b626fd3feff147aaf9b8a330de813542ea2d85854577b9c93a2d61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:49.787882Z","signature_b64":"zLeF4TmStfNjEi1uez4/WnwvyFIm7bxuxcpZ4MR0qg4pb8UnER7TGSmtyVuhYh65s/0N8JLpXPP9Ofr3AzcABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16b5c3aecaf357f139ccb0445246b7329aef2b68dd382ceb1cf5bce11cc94d10","last_reissued_at":"2026-05-18T02:05:49.787146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:49.787146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximum and Minimum Stable Random Packings of Platonic Solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","math.MG"],"primary_cat":"cond-mat.stat-mech","authors_text":"Arshad Kudrolli, Jessica Baker","submitted_at":"2010-08-10T14:43:30Z","abstract_excerpt":"Motivated by the relation between particle shape and packing, we measure the volume fraction $\\phi$ occupied by the Platonic solids which are a class of polyhedron with congruent sides, vertices and dihedral angles. Tetrahedron, cube, octahedron, dodecahedron, and icosahedron shaped plastic dice were fluidized or mechanically vibrated to find stable random loose packing $\\phi_{rlp} = 0.51, 0.54, 0.52, 0.51, 0.50$ and densest packing $\\phi_{rcp} = 0.64, 0.67, 0.64, 0.63, 0.59$, respectively with standard deviation $\\simeq \\pm 0.01$. We find that $\\phi$ obtained by all protocols peak at the cube"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1728","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":"1008.1728","created_at":"2026-05-18T02:05:49.787254+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.1728v2","created_at":"2026-05-18T02:05:49.787254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1728","created_at":"2026-05-18T02:05:49.787254+00:00"},{"alias_kind":"pith_short_12","alias_value":"C224HLWK6NL7","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"C224HLWK6NL7COOM","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"C224HLWK","created_at":"2026-05-18T12:26:05.355336+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/C224HLWK6NL7COOMWBCFERVXGK","json":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK.json","graph_json":"https://pith.science/api/pith-number/C224HLWK6NL7COOMWBCFERVXGK/graph.json","events_json":"https://pith.science/api/pith-number/C224HLWK6NL7COOMWBCFERVXGK/events.json","paper":"https://pith.science/paper/C224HLWK"},"agent_actions":{"view_html":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK","download_json":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK.json","view_paper":"https://pith.science/paper/C224HLWK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.1728&json=true","fetch_graph":"https://pith.science/api/pith-number/C224HLWK6NL7COOMWBCFERVXGK/graph.json","fetch_events":"https://pith.science/api/pith-number/C224HLWK6NL7COOMWBCFERVXGK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK/action/storage_attestation","attest_author":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK/action/author_attestation","sign_citation":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK/action/citation_signature","submit_replication":"https://pith.science/pith/C224HLWK6NL7COOMWBCFERVXGK/action/replication_record"}},"created_at":"2026-05-18T02:05:49.787254+00:00","updated_at":"2026-05-18T02:05:49.787254+00:00"}