{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:OCQYHS6ETHGCT4HN5ETD5BGEP6","short_pith_number":"pith:OCQYHS6E","schema_version":"1.0","canonical_sha256":"70a183cbc499cc29f0ede9263e84c47f9b05adf84c72f13ebe1a3c1dc33262ff","source":{"kind":"arxiv","id":"math/0603494","version":1},"attestation_state":"computed","paper":{"title":"Extrinsic radius pinching for hypersurfaces of space forms","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Julien Roth","submitted_at":"2006-03-21T09:19:37Z","abstract_excerpt":"We prove some pinching results for the extrinsic radius of compact hypersurfaces in space forms. We show that if the pinching condion is strong enough with a dependance on the norm of the second foundamental form, then the hypersurface is diffeomorphic and almost isometric to a geodesic hypersphere."},"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":"math/0603494","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2006-03-21T09:19:37Z","cross_cats_sorted":[],"title_canon_sha256":"abef1ee35b8850427579414367aa0fec1200af95d0783f4d6629e571303caa6b","abstract_canon_sha256":"7662660bf33213e0bfda0d51302f59ae07e9d215373a5de17eded425085eed29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:13.920354Z","signature_b64":"X0F79rzmNuwEC9jKrwlEbk4a0cVr9C0sVczKzpMA1ydmdUSixoFllS+w4sOVN8uqVB+zO0kZno3NyZB6xfr8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70a183cbc499cc29f0ede9263e84c47f9b05adf84c72f13ebe1a3c1dc33262ff","last_reissued_at":"2026-05-18T00:50:13.919887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:13.919887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extrinsic radius pinching for hypersurfaces of space forms","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Julien Roth","submitted_at":"2006-03-21T09:19:37Z","abstract_excerpt":"We prove some pinching results for the extrinsic radius of compact hypersurfaces in space forms. We show that if the pinching condion is strong enough with a dependance on the norm of the second foundamental form, then the hypersurface is diffeomorphic and almost isometric to a geodesic hypersphere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603494","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":"math/0603494","created_at":"2026-05-18T00:50:13.919959+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0603494v1","created_at":"2026-05-18T00:50:13.919959+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603494","created_at":"2026-05-18T00:50:13.919959+00:00"},{"alias_kind":"pith_short_12","alias_value":"OCQYHS6ETHGC","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"OCQYHS6ETHGCT4HN","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"OCQYHS6E","created_at":"2026-05-18T12:25:54.717736+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/OCQYHS6ETHGCT4HN5ETD5BGEP6","json":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6.json","graph_json":"https://pith.science/api/pith-number/OCQYHS6ETHGCT4HN5ETD5BGEP6/graph.json","events_json":"https://pith.science/api/pith-number/OCQYHS6ETHGCT4HN5ETD5BGEP6/events.json","paper":"https://pith.science/paper/OCQYHS6E"},"agent_actions":{"view_html":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6","download_json":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6.json","view_paper":"https://pith.science/paper/OCQYHS6E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0603494&json=true","fetch_graph":"https://pith.science/api/pith-number/OCQYHS6ETHGCT4HN5ETD5BGEP6/graph.json","fetch_events":"https://pith.science/api/pith-number/OCQYHS6ETHGCT4HN5ETD5BGEP6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6/action/storage_attestation","attest_author":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6/action/author_attestation","sign_citation":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6/action/citation_signature","submit_replication":"https://pith.science/pith/OCQYHS6ETHGCT4HN5ETD5BGEP6/action/replication_record"}},"created_at":"2026-05-18T00:50:13.919959+00:00","updated_at":"2026-05-18T00:50:13.919959+00:00"}