{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PZ5MPURRHVPNAY3U3GDZHMRPKP","short_pith_number":"pith:PZ5MPURR","schema_version":"1.0","canonical_sha256":"7e7ac7d2313d5ed06374d98793b22f53c47e281cf38e3e1e55db156de260db45","source":{"kind":"arxiv","id":"2502.05955","version":1},"attestation_state":"computed","paper":{"title":"Area-minimizing unit vector fields on some spherical annuli","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fabiano Brito, Giovanni Nunes, Jackeline Conrado, Jo\\~ao Lucas","submitted_at":"2025-02-09T16:49:34Z","abstract_excerpt":"We establish in this paper a sharp lower bound for the area of a unit vector field $V$ defined on some spherical annuli in the Euclidean sphere $\\mathbb{S}^2$."},"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":"2502.05955","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-02-09T16:49:34Z","cross_cats_sorted":[],"title_canon_sha256":"1242c33041892f2c16a1c476a9123fb1cad27c837eeb8973a37e0bd1239e914a","abstract_canon_sha256":"4c745277864f31af2db4b925df92fd9d8de1493a6ecfa48c45a2ea59a9a746f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:11:45.797190Z","signature_b64":"8IY8OKlSmKl5jxdBT7tv+3wgJEpp2KDndMD+gZzRryZLwWqZeoI/BpnOjtNtQsGSTI2yKEfIwzC2trhUm/TTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e7ac7d2313d5ed06374d98793b22f53c47e281cf38e3e1e55db156de260db45","last_reissued_at":"2026-07-05T10:11:45.796750Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:11:45.796750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Area-minimizing unit vector fields on some spherical annuli","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fabiano Brito, Giovanni Nunes, Jackeline Conrado, Jo\\~ao Lucas","submitted_at":"2025-02-09T16:49:34Z","abstract_excerpt":"We establish in this paper a sharp lower bound for the area of a unit vector field $V$ defined on some spherical annuli in the Euclidean sphere $\\mathbb{S}^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.05955","kind":"arxiv","version":1},"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/2502.05955/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":"2502.05955","created_at":"2026-07-05T10:11:45.796800+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.05955v1","created_at":"2026-07-05T10:11:45.796800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.05955","created_at":"2026-07-05T10:11:45.796800+00:00"},{"alias_kind":"pith_short_12","alias_value":"PZ5MPURRHVPN","created_at":"2026-07-05T10:11:45.796800+00:00"},{"alias_kind":"pith_short_16","alias_value":"PZ5MPURRHVPNAY3U","created_at":"2026-07-05T10:11:45.796800+00:00"},{"alias_kind":"pith_short_8","alias_value":"PZ5MPURR","created_at":"2026-07-05T10:11:45.796800+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/PZ5MPURRHVPNAY3U3GDZHMRPKP","json":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP.json","graph_json":"https://pith.science/api/pith-number/PZ5MPURRHVPNAY3U3GDZHMRPKP/graph.json","events_json":"https://pith.science/api/pith-number/PZ5MPURRHVPNAY3U3GDZHMRPKP/events.json","paper":"https://pith.science/paper/PZ5MPURR"},"agent_actions":{"view_html":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP","download_json":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP.json","view_paper":"https://pith.science/paper/PZ5MPURR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.05955&json=true","fetch_graph":"https://pith.science/api/pith-number/PZ5MPURRHVPNAY3U3GDZHMRPKP/graph.json","fetch_events":"https://pith.science/api/pith-number/PZ5MPURRHVPNAY3U3GDZHMRPKP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP/action/storage_attestation","attest_author":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP/action/author_attestation","sign_citation":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP/action/citation_signature","submit_replication":"https://pith.science/pith/PZ5MPURRHVPNAY3U3GDZHMRPKP/action/replication_record"}},"created_at":"2026-07-05T10:11:45.796800+00:00","updated_at":"2026-07-05T10:11:45.796800+00:00"}