{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NIWW3LK2ZSDW3EICMN5L23L6Q4","short_pith_number":"pith:NIWW3LK2","schema_version":"1.0","canonical_sha256":"6a2d6dad5acc876d9102637abd6d7e8719d9cab0d02ba71c7bc29762c3e11374","source":{"kind":"arxiv","id":"1401.6654","version":3},"attestation_state":"computed","paper":{"title":"On Helly's theorem in geodesic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Sergei Ivanov","submitted_at":"2014-01-26T14:33:03Z","abstract_excerpt":"In this short note we show that Helly's Intersection Theorem holds for convex sets in uniquely geodesic spaces (in particular in CAT(0) spaces) without the assumption that the convex sets are open or closed."},"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":"1401.6654","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-01-26T14:33:03Z","cross_cats_sorted":[],"title_canon_sha256":"cf48d59409a767eed5d345c1ac9bf733b823898a28a65aca7bcf1664c5270741","abstract_canon_sha256":"2a9a85d14ae23c116a7d18ab8b88a9f38621193cd5cc3e828eca7ef4a3fb656f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:41.643425Z","signature_b64":"HyyHwX7NiW7/mO9PISmIRIOC6e7uFnZ1/jft95FdULaLpnvJRkVKhIb5nKnCTl5Y/k9D2Nr8hozslycpr67yAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a2d6dad5acc876d9102637abd6d7e8719d9cab0d02ba71c7bc29762c3e11374","last_reissued_at":"2026-05-18T02:51:41.642753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:41.642753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Helly's theorem in geodesic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Sergei Ivanov","submitted_at":"2014-01-26T14:33:03Z","abstract_excerpt":"In this short note we show that Helly's Intersection Theorem holds for convex sets in uniquely geodesic spaces (in particular in CAT(0) spaces) without the assumption that the convex sets are open or closed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6654","kind":"arxiv","version":3},"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":"1401.6654","created_at":"2026-05-18T02:51:41.642852+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.6654v3","created_at":"2026-05-18T02:51:41.642852+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6654","created_at":"2026-05-18T02:51:41.642852+00:00"},{"alias_kind":"pith_short_12","alias_value":"NIWW3LK2ZSDW","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NIWW3LK2ZSDW3EIC","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NIWW3LK2","created_at":"2026-05-18T12:28:41.024544+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/NIWW3LK2ZSDW3EICMN5L23L6Q4","json":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4.json","graph_json":"https://pith.science/api/pith-number/NIWW3LK2ZSDW3EICMN5L23L6Q4/graph.json","events_json":"https://pith.science/api/pith-number/NIWW3LK2ZSDW3EICMN5L23L6Q4/events.json","paper":"https://pith.science/paper/NIWW3LK2"},"agent_actions":{"view_html":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4","download_json":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4.json","view_paper":"https://pith.science/paper/NIWW3LK2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.6654&json=true","fetch_graph":"https://pith.science/api/pith-number/NIWW3LK2ZSDW3EICMN5L23L6Q4/graph.json","fetch_events":"https://pith.science/api/pith-number/NIWW3LK2ZSDW3EICMN5L23L6Q4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4/action/storage_attestation","attest_author":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4/action/author_attestation","sign_citation":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4/action/citation_signature","submit_replication":"https://pith.science/pith/NIWW3LK2ZSDW3EICMN5L23L6Q4/action/replication_record"}},"created_at":"2026-05-18T02:51:41.642852+00:00","updated_at":"2026-05-18T02:51:41.642852+00:00"}