{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V3J6ONYHKQKSNWIMGUJWBPVLFR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3d1741bd7a1a30562a7838afc5ce5d1025476653ff3193af8a64eae0dd4af60f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-01-24T00:36:59Z","title_canon_sha256":"9eeca7e3c5cbe82ca5ee73dc41e1db76ecf0b07534a4ca93e00c829e85dacf8d"},"schema_version":"1.0","source":{"id":"1701.06695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06695","created_at":"2026-05-18T00:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06695v1","created_at":"2026-05-18T00:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06695","created_at":"2026-05-18T00:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"V3J6ONYHKQKS","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V3J6ONYHKQKSNWIM","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V3J6ONYH","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:391b00d254763741a72735a3a6d1ab27491397137a626c0990bf37f144b9d34f","target":"graph","created_at":"2026-05-18T00:52:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove that the sectional category of the universal fibration with fibre X, for X any space that satisfies a well-known conjecture of Halperin, equals one after rationalization.","authors_text":"Gregory Lupton, Samuel Bruce Smith","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-01-24T00:36:59Z","title":"The Rational Sectional Category of Certain Universal Fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06695","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cf478236d5eb4000eb4e3d3aa0cb825f89e0c3af0377ac414000a16c6435fb4c","target":"record","created_at":"2026-05-18T00:52:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3d1741bd7a1a30562a7838afc5ce5d1025476653ff3193af8a64eae0dd4af60f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-01-24T00:36:59Z","title_canon_sha256":"9eeca7e3c5cbe82ca5ee73dc41e1db76ecf0b07534a4ca93e00c829e85dacf8d"},"schema_version":"1.0","source":{"id":"1701.06695","kind":"arxiv","version":1}},"canonical_sha256":"aed3e73707541526d90c351360beab2c599a3251d57c513cf04dab812ae8a90d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aed3e73707541526d90c351360beab2c599a3251d57c513cf04dab812ae8a90d","first_computed_at":"2026-05-18T00:52:12.343795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:12.343795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qCVnxrjYHMhBemUYD+hMOByTBRAUBdZ4AwLzuiYh2fG3BMCmsXTITtTT5Ymo7DI4c+hrIW7uUhI8axJqDbBMDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:12.344465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf478236d5eb4000eb4e3d3aa0cb825f89e0c3af0377ac414000a16c6435fb4c","sha256:391b00d254763741a72735a3a6d1ab27491397137a626c0990bf37f144b9d34f"],"state_sha256":"e896d90bd818636c794d743a647e890ae682fb178e16eafd58b96e953490b43c"}