{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:P2OZ24O2W3Y22C7MDWUFHG2HL2","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":"5e2a9b0aa1be1c261c9ee04bc7739e4324bb11c274152279625e207d6911549a","cross_cats_sorted":["math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-15T14:18:15Z","title_canon_sha256":"063df518a370eed8df3c733f333f432df6a382570c94fdacfd7761cbf50c747c"},"schema_version":"1.0","source":{"id":"1705.05259","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05259","created_at":"2026-05-18T00:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05259v1","created_at":"2026-05-18T00:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05259","created_at":"2026-05-18T00:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"P2OZ24O2W3Y2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"P2OZ24O2W3Y22C7M","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"P2OZ24O2","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:a77a5466c6eea7f81b9cd38d534147fc949ce265275af9e2ac820aa406475783","target":"graph","created_at":"2026-05-18T00:15:22Z","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 give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated to the elements of the Lie algebra of a Lie group that implements the symmetries of a quantum system. We use this interpretation to establish a link between Rieffel induction and the implementation of a local Gauss law in lattice gauge theories similar to the method discussed by Kijowski and Rudolph in [5, 6].","authors_text":"Ruben Stienstra, Walter D. van Suijlekom","cross_cats":["math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-15T14:18:15Z","title":"Reduction of quantum systems and the local Gauss law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05259","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":"sha256:7615d686373c69a3abc626ce428aa6baf7837c1d36ddcdeba5c891f7ec07b43b","target":"record","created_at":"2026-05-18T00:15:22Z","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":"5e2a9b0aa1be1c261c9ee04bc7739e4324bb11c274152279625e207d6911549a","cross_cats_sorted":["math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-15T14:18:15Z","title_canon_sha256":"063df518a370eed8df3c733f333f432df6a382570c94fdacfd7761cbf50c747c"},"schema_version":"1.0","source":{"id":"1705.05259","kind":"arxiv","version":1}},"canonical_sha256":"7e9d9d71dab6f1ad0bec1da8539b475eadf2c3585ddd017f93dd588a1dcf76f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e9d9d71dab6f1ad0bec1da8539b475eadf2c3585ddd017f93dd588a1dcf76f9","first_computed_at":"2026-05-18T00:15:22.032135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:22.032135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4JEEYHt1/7Fas8SXo1/sxWxovf5qYDMdqvU4vrSgD9FPjROHko2zc8nkcUjCNt6Ogz4K38wZ8VkkEyenwZMLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:22.032825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05259","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7615d686373c69a3abc626ce428aa6baf7837c1d36ddcdeba5c891f7ec07b43b","sha256:a77a5466c6eea7f81b9cd38d534147fc949ce265275af9e2ac820aa406475783"],"state_sha256":"c79b2d8d7209ac014e27d4a801a5a8e2df1e0058d89e0f14e96052f638c430ae"}