{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IVI4DWFQXIB6JCU264ZSKH3RRO","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":"ddf5aeab9b20e3fab8f03baf885e7cf3fb28512f57ea0481d8633196fb686914","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-11-13T17:06:28Z","title_canon_sha256":"16a24007dd50e03786bbdc1f1fe8f8382d59648408c5314f7eabfabe08d4da5e"},"schema_version":"1.0","source":{"id":"1611.04157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04157","created_at":"2026-05-18T00:03:25Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04157v2","created_at":"2026-05-18T00:03:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04157","created_at":"2026-05-18T00:03:25Z"},{"alias_kind":"pith_short_12","alias_value":"IVI4DWFQXIB6","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IVI4DWFQXIB6JCU2","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IVI4DWFQ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:c6b9675f3002ca0f8c295c5b05f9196ab46752c6bcb2b5bf905217ea40c86509","target":"graph","created_at":"2026-05-18T00:03:25Z","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":"Working in the Arone-Ching framework for homotopical descent, it follows that the Bousfield-Kan completion map with respect to integral homology is the unit of a derived adjunction. We prove that this derived adjunction, comparing spaces with coalgebra complexes over the associated integral homology comonad, via integral chains, can be turned into a derived equivalence by replacing spaces with the full subcategory of simply connected spaces. In particular, this provides an integral chains characterization of the homotopy type of simply connected spaces.","authors_text":"Jacobson R. Blomquist, John E. Harper","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-11-13T17:06:28Z","title":"Integral chains and Bousfield-Kan completion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04157","kind":"arxiv","version":2},"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:ed2021f0b8d10cb1ec8809cb5393f54f9d7ae3d037bfbf04de9f63f39cad58a7","target":"record","created_at":"2026-05-18T00:03:25Z","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":"ddf5aeab9b20e3fab8f03baf885e7cf3fb28512f57ea0481d8633196fb686914","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-11-13T17:06:28Z","title_canon_sha256":"16a24007dd50e03786bbdc1f1fe8f8382d59648408c5314f7eabfabe08d4da5e"},"schema_version":"1.0","source":{"id":"1611.04157","kind":"arxiv","version":2}},"canonical_sha256":"4551c1d8b0ba03e48a9af733251f718b963634df7ede7496fbe5e6b9b00d145c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4551c1d8b0ba03e48a9af733251f718b963634df7ede7496fbe5e6b9b00d145c","first_computed_at":"2026-05-18T00:03:25.259109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:25.259109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2jCukarSSoch5mvqlu36nkD2pstOgx6+BP4OZRPt9TRdPrZ6453CfAbR10bZQn0Gqef3p73wrVz4fCLdK9LvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:25.259539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.04157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed2021f0b8d10cb1ec8809cb5393f54f9d7ae3d037bfbf04de9f63f39cad58a7","sha256:c6b9675f3002ca0f8c295c5b05f9196ab46752c6bcb2b5bf905217ea40c86509"],"state_sha256":"930902ef2682c9d4b090b34cf441b481a6bbd9cecaefa184aba8323eaeacc85e"}