{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SWS7H4K7BTPA7V4F56U57IG4UJ","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":"8fa33d89c2672b69dbc7d36d956d98e65ce7155ec0bed873b7b3af39fd1fb72b","cross_cats_sorted":["math-ph","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-01-19T19:38:39Z","title_canon_sha256":"603c1503298a8d9020ec5274b6ece8d03ccf9330f2fa9a4f1127f4d8c43ed6ba"},"schema_version":"1.0","source":{"id":"1601.05048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05048","created_at":"2026-05-18T00:43:30Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05048v2","created_at":"2026-05-18T00:43:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05048","created_at":"2026-05-18T00:43:30Z"},{"alias_kind":"pith_short_12","alias_value":"SWS7H4K7BTPA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SWS7H4K7BTPA7V4F","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SWS7H4K7","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:38c2d1ed0a780592569c7936f179cf008ab601fa20565603b3c1c9e5eb42717c","target":"graph","created_at":"2026-05-18T00:43:30Z","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":"Consider a group $\\Gamma$ acting on a formal (Fedosov) deformation quantization $\\mathbb{A}_\\hbar(M)$ of a symplectic manifold $(M,\\omega)$. This canonically induces an action of $\\Gamma$ by symplectomorphisms on $M$. We examine the reverse problem of extending group actions by symplectomorphisms to the deformation quantization. To do this we first define a notion of extension that does not impose restrictions on the Fedosov connection realizing $\\mathbb{A}_\\hbar(M)$ in its gauge equivalence class by considering composition of pull-back with certain inner automorphisms of sections of the Weyl ","authors_text":"Niek de Kleijn","cross_cats":["math-ph","math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-01-19T19:38:39Z","title":"Classification of Group Actions Extended to Symplectic Deformation Quantizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05048","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":"sha256:841e00669247d51d7184ca3f141a3db83d5322a5c7ee35d84f4d4d538d984d2b","target":"record","created_at":"2026-05-18T00:43:30Z","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":"8fa33d89c2672b69dbc7d36d956d98e65ce7155ec0bed873b7b3af39fd1fb72b","cross_cats_sorted":["math-ph","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-01-19T19:38:39Z","title_canon_sha256":"603c1503298a8d9020ec5274b6ece8d03ccf9330f2fa9a4f1127f4d8c43ed6ba"},"schema_version":"1.0","source":{"id":"1601.05048","kind":"arxiv","version":2}},"canonical_sha256":"95a5f3f15f0cde0fd785efa9dfa0dca2580a9762a7afe24ae883792979e6763a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95a5f3f15f0cde0fd785efa9dfa0dca2580a9762a7afe24ae883792979e6763a","first_computed_at":"2026-05-18T00:43:30.834104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:30.834104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Djre/6jKCXzbPdOlXRuTCuXfxMWgT6GAKVGdM28LP0M4S12Hw49/q5LiyMeHKz7RydHC11Npuuy9X7e/LiJ9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:30.834623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.05048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:841e00669247d51d7184ca3f141a3db83d5322a5c7ee35d84f4d4d538d984d2b","sha256:38c2d1ed0a780592569c7936f179cf008ab601fa20565603b3c1c9e5eb42717c"],"state_sha256":"5c2a8cf8d3a41b28c27865cd3f507d29793ac8e206b750c6f9a32aa3f13af153"}