{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:7SFLYIPUTWWPMNLR53JKVNX2LE","short_pith_number":"pith:7SFLYIPU","schema_version":"1.0","canonical_sha256":"fc8abc21f49dacf63571eed2aab6fa59286b8a10d3080d8362d2d3d49c8ae3a9","source":{"kind":"arxiv","id":"2302.07196","version":4},"attestation_state":"computed","paper":{"title":"Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Giorgini, Giulia Bevilacqua","submitted_at":"2023-02-14T17:07:45Z","abstract_excerpt":"We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the physical systems comprises a two-phase mixture consisting in a polar liquid crystal immersed in a Newtonian fluid. Such composite material is a paradigmatic example of complex fluids arising in Soft Matter which exhibits multiscale interplay. Beyond the Ginzburg-Landau and Frank elastic energies for the concentration and the polarization, the free energy of the system is characterized by a quadratic anchoring term wh"},"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":"2302.07196","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-02-14T17:07:45Z","cross_cats_sorted":[],"title_canon_sha256":"4b32f9397654850ad811dcd743944a669af6c596ff27029770e4a0559a33de6a","abstract_canon_sha256":"d6a94314a4b635fd845c301cddd2b72b61d47ed5cc420fc6758857b6bd22ee94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:37:03.554704Z","signature_b64":"c6P8gguPT+9L1P8D2oXtwulzNjJ3iIqyy9rrUqFUx0PxDdMjkvCx7pz43UDUosGOD8VtOKQQPFvT3iKJCaDYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc8abc21f49dacf63571eed2aab6fa59286b8a10d3080d8362d2d3d49c8ae3a9","last_reissued_at":"2026-07-05T08:37:03.554275Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:37:03.554275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Giorgini, Giulia Bevilacqua","submitted_at":"2023-02-14T17:07:45Z","abstract_excerpt":"We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the physical systems comprises a two-phase mixture consisting in a polar liquid crystal immersed in a Newtonian fluid. Such composite material is a paradigmatic example of complex fluids arising in Soft Matter which exhibits multiscale interplay. Beyond the Ginzburg-Landau and Frank elastic energies for the concentration and the polarization, the free energy of the system is characterized by a quadratic anchoring term wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.07196","kind":"arxiv","version":4},"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/2302.07196/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":"2302.07196","created_at":"2026-07-05T08:37:03.554343+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.07196v4","created_at":"2026-07-05T08:37:03.554343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.07196","created_at":"2026-07-05T08:37:03.554343+00:00"},{"alias_kind":"pith_short_12","alias_value":"7SFLYIPUTWWP","created_at":"2026-07-05T08:37:03.554343+00:00"},{"alias_kind":"pith_short_16","alias_value":"7SFLYIPUTWWPMNLR","created_at":"2026-07-05T08:37:03.554343+00:00"},{"alias_kind":"pith_short_8","alias_value":"7SFLYIPU","created_at":"2026-07-05T08:37:03.554343+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/7SFLYIPUTWWPMNLR53JKVNX2LE","json":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE.json","graph_json":"https://pith.science/api/pith-number/7SFLYIPUTWWPMNLR53JKVNX2LE/graph.json","events_json":"https://pith.science/api/pith-number/7SFLYIPUTWWPMNLR53JKVNX2LE/events.json","paper":"https://pith.science/paper/7SFLYIPU"},"agent_actions":{"view_html":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE","download_json":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE.json","view_paper":"https://pith.science/paper/7SFLYIPU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.07196&json=true","fetch_graph":"https://pith.science/api/pith-number/7SFLYIPUTWWPMNLR53JKVNX2LE/graph.json","fetch_events":"https://pith.science/api/pith-number/7SFLYIPUTWWPMNLR53JKVNX2LE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE/action/storage_attestation","attest_author":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE/action/author_attestation","sign_citation":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE/action/citation_signature","submit_replication":"https://pith.science/pith/7SFLYIPUTWWPMNLR53JKVNX2LE/action/replication_record"}},"created_at":"2026-07-05T08:37:03.554343+00:00","updated_at":"2026-07-05T08:37:03.554343+00:00"}