{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XVEBXNLIHNVSBEPBSM4DWV6Z5F","short_pith_number":"pith:XVEBXNLI","schema_version":"1.0","canonical_sha256":"bd481bb5683b6b2091e193383b57d9e94446a88dcbd6f653adf6df1f78de2495","source":{"kind":"arxiv","id":"1705.10947","version":2},"attestation_state":"computed","paper":{"title":"A remark on the paper \"Properties of intersecting families of ordered sets\" by O. Einstein","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Sang-il Oum, Sounggun Wee","submitted_at":"2017-05-31T05:43:34Z","abstract_excerpt":"O. Einstein (2008) proved Bollob\\'as-type theorems on intersecting families of ordered sets of finite sets and subspaces. Unfortunately, we report that the proof of a theorem on ordered sets of subspaces had a mistake. We prove two weaker variants."},"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":"1705.10947","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-05-31T05:43:34Z","cross_cats_sorted":[],"title_canon_sha256":"8e1096df65d94694a331b54992d4b6194bee790c3cf19ef4ae337039baf9c6d0","abstract_canon_sha256":"f64d8b9c2008dcd78bb5d99a84ac24b352c2e9ae376e7f3b4fe4aae96b21252c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:25.298067Z","signature_b64":"+v7hCxev4UR5+Cf2/qmYR7+ZvxR9pfrJkAzhwuPeGFQBTTWdQb5HVaCDQjXFLasfqCJnahhnC8VjWGenjRgRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd481bb5683b6b2091e193383b57d9e94446a88dcbd6f653adf6df1f78de2495","last_reissued_at":"2026-05-17T23:56:25.297677Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:25.297677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A remark on the paper \"Properties of intersecting families of ordered sets\" by O. Einstein","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Sang-il Oum, Sounggun Wee","submitted_at":"2017-05-31T05:43:34Z","abstract_excerpt":"O. Einstein (2008) proved Bollob\\'as-type theorems on intersecting families of ordered sets of finite sets and subspaces. Unfortunately, we report that the proof of a theorem on ordered sets of subspaces had a mistake. We prove two weaker variants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10947","kind":"arxiv","version":2},"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":"1705.10947","created_at":"2026-05-17T23:56:25.297750+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.10947v2","created_at":"2026-05-17T23:56:25.297750+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10947","created_at":"2026-05-17T23:56:25.297750+00:00"},{"alias_kind":"pith_short_12","alias_value":"XVEBXNLIHNVS","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XVEBXNLIHNVSBEPB","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XVEBXNLI","created_at":"2026-05-18T12:31:56.362134+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/XVEBXNLIHNVSBEPBSM4DWV6Z5F","json":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F.json","graph_json":"https://pith.science/api/pith-number/XVEBXNLIHNVSBEPBSM4DWV6Z5F/graph.json","events_json":"https://pith.science/api/pith-number/XVEBXNLIHNVSBEPBSM4DWV6Z5F/events.json","paper":"https://pith.science/paper/XVEBXNLI"},"agent_actions":{"view_html":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F","download_json":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F.json","view_paper":"https://pith.science/paper/XVEBXNLI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.10947&json=true","fetch_graph":"https://pith.science/api/pith-number/XVEBXNLIHNVSBEPBSM4DWV6Z5F/graph.json","fetch_events":"https://pith.science/api/pith-number/XVEBXNLIHNVSBEPBSM4DWV6Z5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F/action/storage_attestation","attest_author":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F/action/author_attestation","sign_citation":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F/action/citation_signature","submit_replication":"https://pith.science/pith/XVEBXNLIHNVSBEPBSM4DWV6Z5F/action/replication_record"}},"created_at":"2026-05-17T23:56:25.297750+00:00","updated_at":"2026-05-17T23:56:25.297750+00:00"}