{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:A5Q26ASSXEFJ72PUGK5B6UPS6T","short_pith_number":"pith:A5Q26ASS","schema_version":"1.0","canonical_sha256":"0761af0252b90a9fe9f432ba1f51f2f4deb69dde85e32f0c247d6158fb08baf5","source":{"kind":"arxiv","id":"1706.04098","version":2},"attestation_state":"computed","paper":{"title":"Uniqueness of planar tangent maps in the modified Ericksen model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Onur Alper","submitted_at":"2017-06-13T14:41:49Z","abstract_excerpt":"We prove the uniqueness of homogeneous blow-up limits of maps minimizing the modified Ericksen energy for nematic liquid crystals in a planar domain. The proof is based on the Weiss monotonicity formula, and a blow-up argument, originally due to Allard and Almgren \\cite{AA} for minimal surfaces, and L. Simon \\cite{SL} for energy-minimizing maps into analytic targets, which exploits the integrability of certain Jacobi fields."},"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":"1706.04098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-13T14:41:49Z","cross_cats_sorted":[],"title_canon_sha256":"965a784a6adc562419485908917077093355613625dfbfff10c78d18964d5db8","abstract_canon_sha256":"ac0832cf24e67b57ba9b094d03c7ac1003c97665ae69729f0ac4ce5491f8b5ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:25.032065Z","signature_b64":"ZondDTtasRTCgQb0ElkZ7J4hNhDwcLbKj8Fyr+N1Rh9491kFtcyK8dA/ssWIs8dR2UxodlkivH7N8rM6YHxTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0761af0252b90a9fe9f432ba1f51f2f4deb69dde85e32f0c247d6158fb08baf5","last_reissued_at":"2026-05-18T00:03:25.031608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:25.031608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniqueness of planar tangent maps in the modified Ericksen model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Onur Alper","submitted_at":"2017-06-13T14:41:49Z","abstract_excerpt":"We prove the uniqueness of homogeneous blow-up limits of maps minimizing the modified Ericksen energy for nematic liquid crystals in a planar domain. The proof is based on the Weiss monotonicity formula, and a blow-up argument, originally due to Allard and Almgren \\cite{AA} for minimal surfaces, and L. Simon \\cite{SL} for energy-minimizing maps into analytic targets, which exploits the integrability of certain Jacobi fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04098","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":"1706.04098","created_at":"2026-05-18T00:03:25.031680+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.04098v2","created_at":"2026-05-18T00:03:25.031680+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04098","created_at":"2026-05-18T00:03:25.031680+00:00"},{"alias_kind":"pith_short_12","alias_value":"A5Q26ASSXEFJ","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"A5Q26ASSXEFJ72PU","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"A5Q26ASS","created_at":"2026-05-18T12:31:05.417338+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/A5Q26ASSXEFJ72PUGK5B6UPS6T","json":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T.json","graph_json":"https://pith.science/api/pith-number/A5Q26ASSXEFJ72PUGK5B6UPS6T/graph.json","events_json":"https://pith.science/api/pith-number/A5Q26ASSXEFJ72PUGK5B6UPS6T/events.json","paper":"https://pith.science/paper/A5Q26ASS"},"agent_actions":{"view_html":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T","download_json":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T.json","view_paper":"https://pith.science/paper/A5Q26ASS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.04098&json=true","fetch_graph":"https://pith.science/api/pith-number/A5Q26ASSXEFJ72PUGK5B6UPS6T/graph.json","fetch_events":"https://pith.science/api/pith-number/A5Q26ASSXEFJ72PUGK5B6UPS6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T/action/storage_attestation","attest_author":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T/action/author_attestation","sign_citation":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T/action/citation_signature","submit_replication":"https://pith.science/pith/A5Q26ASSXEFJ72PUGK5B6UPS6T/action/replication_record"}},"created_at":"2026-05-18T00:03:25.031680+00:00","updated_at":"2026-05-18T00:03:25.031680+00:00"}