{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GB7R35IPAD6KJRF6B6335JGBE3","short_pith_number":"pith:GB7R35IP","schema_version":"1.0","canonical_sha256":"307f1df50f00fca4c4be0fb7bea4c126f644dfad592e732e8ede93a578c9b11b","source":{"kind":"arxiv","id":"1411.3926","version":4},"attestation_state":"computed","paper":{"title":"Q curvature on a class of manifolds with dimension at least 5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Fengbo Hang, Paul C. Yang","submitted_at":"2014-11-14T15:00:00Z","abstract_excerpt":"For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q curvature and dimension at least 5, we prove the existence of a conformal metric with constant Q curvature. Our approach is based on the study of extremal problem for a new functional involving the Paneitz operator."},"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":"1411.3926","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-14T15:00:00Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"a6105e0271bce447e4f4f40a6deaf3a62cdbbef2fb4ad77388da3226d0a9a165","abstract_canon_sha256":"2fb907a6ad33435df0829af0de24c537715a8bf198579ab5ba683715dd84c008"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:03.599769Z","signature_b64":"BNXp6mpxP3cE2SwtgHw5cL2nf6IlEr5lnMuTZa2x7/8cenhzNcO6fBrZGe876upRHEvXxiq8YFTrT+kn0JQKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"307f1df50f00fca4c4be0fb7bea4c126f644dfad592e732e8ede93a578c9b11b","last_reissued_at":"2026-05-18T01:31:03.599041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:03.599041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Q curvature on a class of manifolds with dimension at least 5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Fengbo Hang, Paul C. Yang","submitted_at":"2014-11-14T15:00:00Z","abstract_excerpt":"For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q curvature and dimension at least 5, we prove the existence of a conformal metric with constant Q curvature. Our approach is based on the study of extremal problem for a new functional involving the Paneitz operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3926","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":""},"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":"1411.3926","created_at":"2026-05-18T01:31:03.599147+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.3926v4","created_at":"2026-05-18T01:31:03.599147+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3926","created_at":"2026-05-18T01:31:03.599147+00:00"},{"alias_kind":"pith_short_12","alias_value":"GB7R35IPAD6K","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GB7R35IPAD6KJRF6","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GB7R35IP","created_at":"2026-05-18T12:28:30.664211+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/GB7R35IPAD6KJRF6B6335JGBE3","json":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3.json","graph_json":"https://pith.science/api/pith-number/GB7R35IPAD6KJRF6B6335JGBE3/graph.json","events_json":"https://pith.science/api/pith-number/GB7R35IPAD6KJRF6B6335JGBE3/events.json","paper":"https://pith.science/paper/GB7R35IP"},"agent_actions":{"view_html":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3","download_json":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3.json","view_paper":"https://pith.science/paper/GB7R35IP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.3926&json=true","fetch_graph":"https://pith.science/api/pith-number/GB7R35IPAD6KJRF6B6335JGBE3/graph.json","fetch_events":"https://pith.science/api/pith-number/GB7R35IPAD6KJRF6B6335JGBE3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3/action/storage_attestation","attest_author":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3/action/author_attestation","sign_citation":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3/action/citation_signature","submit_replication":"https://pith.science/pith/GB7R35IPAD6KJRF6B6335JGBE3/action/replication_record"}},"created_at":"2026-05-18T01:31:03.599147+00:00","updated_at":"2026-05-18T01:31:03.599147+00:00"}