{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:TVMRIMPSCOYFRRVOAV6YKY5KYC","short_pith_number":"pith:TVMRIMPS","schema_version":"1.0","canonical_sha256":"9d591431f213b058c6ae057d8563aac0a5aba3be3619661fc34b02276b867d4d","source":{"kind":"arxiv","id":"1903.06728","version":1},"attestation_state":"computed","paper":{"title":"Sharp Estimates for the First Eigenvalues of the Bi-drifting Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adriano Cavalcante Bezerra, Changyu Xia","submitted_at":"2019-03-15T18:18:02Z","abstract_excerpt":"In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue problems on compact manifolds with boundary (also called a smooth metric measure space) and weighted Ricci curvature bounded inferiorly."},"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":"1903.06728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-03-15T18:18:02Z","cross_cats_sorted":[],"title_canon_sha256":"d772937250e44108489d0f971413bec8d2e8c25dd25b01ba7eb9091e606e9754","abstract_canon_sha256":"54590a9974a89a087bf625d022708f6980b46d978cbc99b47aa352e5f29aa974"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:04.672580Z","signature_b64":"ZWAVbH8MIqw7WFC9M2WP5yJdjL9eHNW6WAWBMdzfUxiM4JjeplGT4cdyaz7PeWUuOduye3gIGZ8Q0u3XvxPzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d591431f213b058c6ae057d8563aac0a5aba3be3619661fc34b02276b867d4d","last_reissued_at":"2026-05-17T23:51:04.672039Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:04.672039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharp Estimates for the First Eigenvalues of the Bi-drifting Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adriano Cavalcante Bezerra, Changyu Xia","submitted_at":"2019-03-15T18:18:02Z","abstract_excerpt":"In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue problems on compact manifolds with boundary (also called a smooth metric measure space) and weighted Ricci curvature bounded inferiorly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06728","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":""},"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":"1903.06728","created_at":"2026-05-17T23:51:04.672095+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.06728v1","created_at":"2026-05-17T23:51:04.672095+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06728","created_at":"2026-05-17T23:51:04.672095+00:00"},{"alias_kind":"pith_short_12","alias_value":"TVMRIMPSCOYF","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"TVMRIMPSCOYFRRVO","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"TVMRIMPS","created_at":"2026-05-18T12:33:30.264802+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/TVMRIMPSCOYFRRVOAV6YKY5KYC","json":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC.json","graph_json":"https://pith.science/api/pith-number/TVMRIMPSCOYFRRVOAV6YKY5KYC/graph.json","events_json":"https://pith.science/api/pith-number/TVMRIMPSCOYFRRVOAV6YKY5KYC/events.json","paper":"https://pith.science/paper/TVMRIMPS"},"agent_actions":{"view_html":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC","download_json":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC.json","view_paper":"https://pith.science/paper/TVMRIMPS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.06728&json=true","fetch_graph":"https://pith.science/api/pith-number/TVMRIMPSCOYFRRVOAV6YKY5KYC/graph.json","fetch_events":"https://pith.science/api/pith-number/TVMRIMPSCOYFRRVOAV6YKY5KYC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC/action/storage_attestation","attest_author":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC/action/author_attestation","sign_citation":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC/action/citation_signature","submit_replication":"https://pith.science/pith/TVMRIMPSCOYFRRVOAV6YKY5KYC/action/replication_record"}},"created_at":"2026-05-17T23:51:04.672095+00:00","updated_at":"2026-05-17T23:51:04.672095+00:00"}