{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:P2OZ24O2W3Y22C7MDWUFHG2HL2","short_pith_number":"pith:P2OZ24O2","schema_version":"1.0","canonical_sha256":"7e9d9d71dab6f1ad0bec1da8539b475eadf2c3585ddd017f93dd588a1dcf76f9","source":{"kind":"arxiv","id":"1705.05259","version":1},"attestation_state":"computed","paper":{"title":"Reduction of quantum systems and the local Gauss law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Ruben Stienstra, Walter D. van Suijlekom","submitted_at":"2017-05-15T14:18:15Z","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]."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.05259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-15T14:18:15Z","cross_cats_sorted":["math.MP","math.OA"],"title_canon_sha256":"063df518a370eed8df3c733f333f432df6a382570c94fdacfd7761cbf50c747c","abstract_canon_sha256":"5e2a9b0aa1be1c261c9ee04bc7739e4324bb11c274152279625e207d6911549a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:22.032825Z","signature_b64":"4JEEYHt1/7Fas8SXo1/sxWxovf5qYDMdqvU4vrSgD9FPjROHko2zc8nkcUjCNt6Ogz4K38wZ8VkkEyenwZMLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e9d9d71dab6f1ad0bec1da8539b475eadf2c3585ddd017f93dd588a1dcf76f9","last_reissued_at":"2026-05-18T00:15:22.032135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:22.032135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reduction of quantum systems and the local Gauss law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Ruben Stienstra, Walter D. van Suijlekom","submitted_at":"2017-05-15T14:18:15Z","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]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05259","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.05259","created_at":"2026-05-18T00:15:22.032234+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.05259v1","created_at":"2026-05-18T00:15:22.032234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05259","created_at":"2026-05-18T00:15:22.032234+00:00"},{"alias_kind":"pith_short_12","alias_value":"P2OZ24O2W3Y2","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"P2OZ24O2W3Y22C7M","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"P2OZ24O2","created_at":"2026-05-18T12:31:37.085036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2","json":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2.json","graph_json":"https://pith.science/api/pith-number/P2OZ24O2W3Y22C7MDWUFHG2HL2/graph.json","events_json":"https://pith.science/api/pith-number/P2OZ24O2W3Y22C7MDWUFHG2HL2/events.json","paper":"https://pith.science/paper/P2OZ24O2"},"agent_actions":{"view_html":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2","download_json":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2.json","view_paper":"https://pith.science/paper/P2OZ24O2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.05259&json=true","fetch_graph":"https://pith.science/api/pith-number/P2OZ24O2W3Y22C7MDWUFHG2HL2/graph.json","fetch_events":"https://pith.science/api/pith-number/P2OZ24O2W3Y22C7MDWUFHG2HL2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2/action/storage_attestation","attest_author":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2/action/author_attestation","sign_citation":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2/action/citation_signature","submit_replication":"https://pith.science/pith/P2OZ24O2W3Y22C7MDWUFHG2HL2/action/replication_record"}},"created_at":"2026-05-18T00:15:22.032234+00:00","updated_at":"2026-05-18T00:15:22.032234+00:00"}