{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3RFPQCTB2ZBRJX5I66EEC2ACH5","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":"82c72712154fc4028a9c7448ecfac611355ccc0bf492017c60df42dd492d6168","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-03-27T13:20:49Z","title_canon_sha256":"68a9d4a5aada5c63592bee824de9fb9bf9728ea59aa4e9a3ed2b6f0ed59a0742"},"schema_version":"1.0","source":{"id":"1703.09050","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09050","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09050v5","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09050","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"pith_short_12","alias_value":"3RFPQCTB2ZBR","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"pith_short_16","alias_value":"3RFPQCTB2ZBRJX5I","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"pith_short_8","alias_value":"3RFPQCTB","created_at":"2026-07-05T02:05:21Z"}],"graph_snapshots":[{"event_id":"sha256:c9da92a8ec318bd1d5940925b8f9a1b673fba3a2d29c0dfa4055f59911546a78","target":"graph","created_at":"2026-07-05T02:05:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1703.09050/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a generalization of the classical connectivity theorem of Blakers-Massey, valid in an arbitrary higher topos and with respect to an arbitrary modality, that is, a factorization system (L,R) in which the left class is stable by base change. We explain how to rederive the classical result, as well as a recent generalization by Chach\\'olski-Scherer-Werndli. Our proof is inspired by the one given in Homotopy Type Theory.","authors_text":"Andr\\'e Joyal, Eric Finster, Georg Biedermann, Mathieu Anel","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-03-27T13:20:49Z","title":"A Generalized Blakers-Massey Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09050","kind":"arxiv","version":5},"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:fa47cf8d1548048ace8a67d4a5214c489fd196f17ab68fb28a963ebde1c12c1a","target":"record","created_at":"2026-07-05T02:05:21Z","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":"82c72712154fc4028a9c7448ecfac611355ccc0bf492017c60df42dd492d6168","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-03-27T13:20:49Z","title_canon_sha256":"68a9d4a5aada5c63592bee824de9fb9bf9728ea59aa4e9a3ed2b6f0ed59a0742"},"schema_version":"1.0","source":{"id":"1703.09050","kind":"arxiv","version":5}},"canonical_sha256":"dc4af80a61d64314dfa8f7884168023f5f88beeb81cb7ea4435a47d050c2a7aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc4af80a61d64314dfa8f7884168023f5f88beeb81cb7ea4435a47d050c2a7aa","first_computed_at":"2026-07-05T02:05:21.498913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:05:21.498913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2sMdLRRnYpDG7WD2YUHQhFif4lUKjrjFi+F+XajWgmHg3y1iqZvt0RGvYpTARiOEJ3X31435dwkmz6yWCwGUAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:05:21.499415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.09050","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa47cf8d1548048ace8a67d4a5214c489fd196f17ab68fb28a963ebde1c12c1a","sha256:c9da92a8ec318bd1d5940925b8f9a1b673fba3a2d29c0dfa4055f59911546a78"],"state_sha256":"b45521ae27c715dfcc3047ea7a771d83d5e2a469fda017161451c5f059202de6"}