{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:QO7RT5ZIY4FIH5PKVLIEDUVSJM","short_pith_number":"pith:QO7RT5ZI","schema_version":"1.0","canonical_sha256":"83bf19f728c70a83f5eaaad041d2b24b0dc7bf900b8eae47f6ee0f7fc148b86c","source":{"kind":"arxiv","id":"1108.3448","version":1},"attestation_state":"computed","paper":{"title":"The curvature operator at the soul","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gerard Walschap, Luis Guijarro","submitted_at":"2011-08-17T11:20:52Z","abstract_excerpt":"We prove two splitting theorems, one topological, the other metric, for open manifolds with nonnegative sectional curvature."},"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":"1108.3448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-17T11:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"12c01de7f300207966103dd51ae1e3f355a4ca14b7ad59af41287682022587dd","abstract_canon_sha256":"d9f94678a1468b5bba85515f9c36678627ce78d106aa5e341279e520c3bb6f7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:17.772978Z","signature_b64":"uPYJjW1+iPToVwzZqxVNmE/uIWpfdNIW9WHiXGN3Eo0JxY6w20Ep9cs18gHy1Fd/Z2buNKg1kNmpbVookcfICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83bf19f728c70a83f5eaaad041d2b24b0dc7bf900b8eae47f6ee0f7fc148b86c","last_reissued_at":"2026-05-18T04:15:17.772191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:17.772191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The curvature operator at the soul","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gerard Walschap, Luis Guijarro","submitted_at":"2011-08-17T11:20:52Z","abstract_excerpt":"We prove two splitting theorems, one topological, the other metric, for open manifolds with nonnegative sectional curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3448","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":"1108.3448","created_at":"2026-05-18T04:15:17.772343+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.3448v1","created_at":"2026-05-18T04:15:17.772343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3448","created_at":"2026-05-18T04:15:17.772343+00:00"},{"alias_kind":"pith_short_12","alias_value":"QO7RT5ZIY4FI","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"QO7RT5ZIY4FIH5PK","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"QO7RT5ZI","created_at":"2026-05-18T12:26:39.201973+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/QO7RT5ZIY4FIH5PKVLIEDUVSJM","json":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM.json","graph_json":"https://pith.science/api/pith-number/QO7RT5ZIY4FIH5PKVLIEDUVSJM/graph.json","events_json":"https://pith.science/api/pith-number/QO7RT5ZIY4FIH5PKVLIEDUVSJM/events.json","paper":"https://pith.science/paper/QO7RT5ZI"},"agent_actions":{"view_html":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM","download_json":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM.json","view_paper":"https://pith.science/paper/QO7RT5ZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.3448&json=true","fetch_graph":"https://pith.science/api/pith-number/QO7RT5ZIY4FIH5PKVLIEDUVSJM/graph.json","fetch_events":"https://pith.science/api/pith-number/QO7RT5ZIY4FIH5PKVLIEDUVSJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM/action/storage_attestation","attest_author":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM/action/author_attestation","sign_citation":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM/action/citation_signature","submit_replication":"https://pith.science/pith/QO7RT5ZIY4FIH5PKVLIEDUVSJM/action/replication_record"}},"created_at":"2026-05-18T04:15:17.772343+00:00","updated_at":"2026-05-18T04:15:17.772343+00:00"}