{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KJPYZ45XDAGJSDGZVGHQPJ34S6","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":"48997b99d500235dbb1bfa2cf090e04ddc73c1d11cd9973a77c79ff618acb8ac","cross_cats_sorted":["math.AT","math.CT","math.KT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-06T06:14:59Z","title_canon_sha256":"7a6dbc86a839c10611a6510e9281b0318a08351e8c2cc3e88d0929bb9cbde336"},"schema_version":"1.0","source":{"id":"1810.02941","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02941","created_at":"2026-05-17T23:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02941v2","created_at":"2026-05-17T23:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02941","created_at":"2026-05-17T23:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"KJPYZ45XDAGJ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KJPYZ45XDAGJSDGZ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KJPYZ45X","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:68c4ff368c3eff904fef37aaefa5a4a1d379e2a51fcf017035db06f2c82d755c","target":"graph","created_at":"2026-05-17T23:52:15Z","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":"This paper provides a conceptual study of the twisting procedure, which amounts to create functorially new differential graded Lie algebras, associative algebras or operads (as well as their homotopy versions) from a Maurer--Cartan element. On the way, we settle the integration theory of complete pre-Lie algebras in order to describe this twisting procedure in terms of gauge group action. We give a criterion on quadratic operads for the existence of a meaningful twisting procedure of their associated categories of (homotopy) algebras. We also give a new presentation of the twisting procedure f","authors_text":"Bruno Vallette, Sergey Shadrin, Vladimir Dotsenko","cross_cats":["math.AT","math.CT","math.KT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-06T06:14:59Z","title":"The twisting procedure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02941","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":"sha256:05c97c6e86842bd9d609bfc62722d3bab5fad7b83d0b34a770559b2215414880","target":"record","created_at":"2026-05-17T23:52:15Z","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":"48997b99d500235dbb1bfa2cf090e04ddc73c1d11cd9973a77c79ff618acb8ac","cross_cats_sorted":["math.AT","math.CT","math.KT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-06T06:14:59Z","title_canon_sha256":"7a6dbc86a839c10611a6510e9281b0318a08351e8c2cc3e88d0929bb9cbde336"},"schema_version":"1.0","source":{"id":"1810.02941","kind":"arxiv","version":2}},"canonical_sha256":"525f8cf3b7180c990cd9a98f07a77c9785f617b2dc749b0ceac5e613496e1e32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"525f8cf3b7180c990cd9a98f07a77c9785f617b2dc749b0ceac5e613496e1e32","first_computed_at":"2026-05-17T23:52:15.454232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:15.454232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9U7DnUK1uDSY4+30obqdadeBUa5EDTuObv71CIxVTCYBi4fONzDNN0Ks7hnW3N9ZRjfvLikfy9LqcBTBcd3CBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:15.454808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02941","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05c97c6e86842bd9d609bfc62722d3bab5fad7b83d0b34a770559b2215414880","sha256:68c4ff368c3eff904fef37aaefa5a4a1d379e2a51fcf017035db06f2c82d755c"],"state_sha256":"1ead1d28ed1fd482319176fe0008e8e788299ffc6d3f0ef07a50a0c5a575338c"}