{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SCXVF4ZIC4QXPDAIXJKH3HFU72","short_pith_number":"pith:SCXVF4ZI","schema_version":"1.0","canonical_sha256":"90af52f3281721778c08ba547d9cb4fe8706b4f936d05dc91a517425cba2e459","source":{"kind":"arxiv","id":"1412.3521","version":2},"attestation_state":"computed","paper":{"title":"Forming a cube from a sphere with tetratic order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"M. J. Bowick, O. V. Manyuhina","submitted_at":"2014-12-11T02:22:50Z","abstract_excerpt":"Composed of square particles, the tetratic phase is characterised by a four-fold symmetry with quasi-long-range orientational order but no translational order. We construct the elastic free energy for tetratics and find a closed form solution for 1/4-disclinations in planar geometry. Applying the same covariant formalism to a sphere we show analytically that within the one elastic constant approximation eight +1/4-disclinations favor positions defining the vertices of a cube. The interplay between defect-defect interactions and bending energy results in a flattening of the sphere towards super"},"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":"1412.3521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-12-11T02:22:50Z","cross_cats_sorted":[],"title_canon_sha256":"dc5c36aa271a848e83fbcb8604a33db1dde4fb96ce51707bf0f584eee0384025","abstract_canon_sha256":"242cccf4b07bd40638ee8cf7b977d8d514ce402c7294614f6906e8ee4efec63b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:59.006624Z","signature_b64":"Gg5k++ZHg54zE3raSQ/XsQgvEiVVSchukaEP+FOS2H+svzVwpQG9UHvcD9rLOjXHnuDv4iGZXxDavpJwnj6GCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90af52f3281721778c08ba547d9cb4fe8706b4f936d05dc91a517425cba2e459","last_reissued_at":"2026-05-18T02:20:59.005966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:59.005966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Forming a cube from a sphere with tetratic order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"M. J. Bowick, O. V. Manyuhina","submitted_at":"2014-12-11T02:22:50Z","abstract_excerpt":"Composed of square particles, the tetratic phase is characterised by a four-fold symmetry with quasi-long-range orientational order but no translational order. We construct the elastic free energy for tetratics and find a closed form solution for 1/4-disclinations in planar geometry. Applying the same covariant formalism to a sphere we show analytically that within the one elastic constant approximation eight +1/4-disclinations favor positions defining the vertices of a cube. The interplay between defect-defect interactions and bending energy results in a flattening of the sphere towards super"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3521","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":"1412.3521","created_at":"2026-05-18T02:20:59.006052+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.3521v2","created_at":"2026-05-18T02:20:59.006052+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3521","created_at":"2026-05-18T02:20:59.006052+00:00"},{"alias_kind":"pith_short_12","alias_value":"SCXVF4ZIC4QX","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SCXVF4ZIC4QXPDAI","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SCXVF4ZI","created_at":"2026-05-18T12:28:49.207871+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/SCXVF4ZIC4QXPDAIXJKH3HFU72","json":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72.json","graph_json":"https://pith.science/api/pith-number/SCXVF4ZIC4QXPDAIXJKH3HFU72/graph.json","events_json":"https://pith.science/api/pith-number/SCXVF4ZIC4QXPDAIXJKH3HFU72/events.json","paper":"https://pith.science/paper/SCXVF4ZI"},"agent_actions":{"view_html":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72","download_json":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72.json","view_paper":"https://pith.science/paper/SCXVF4ZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.3521&json=true","fetch_graph":"https://pith.science/api/pith-number/SCXVF4ZIC4QXPDAIXJKH3HFU72/graph.json","fetch_events":"https://pith.science/api/pith-number/SCXVF4ZIC4QXPDAIXJKH3HFU72/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72/action/storage_attestation","attest_author":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72/action/author_attestation","sign_citation":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72/action/citation_signature","submit_replication":"https://pith.science/pith/SCXVF4ZIC4QXPDAIXJKH3HFU72/action/replication_record"}},"created_at":"2026-05-18T02:20:59.006052+00:00","updated_at":"2026-05-18T02:20:59.006052+00:00"}