{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:L3EA5B7L4UU72RW4TIL2TM3ZAT","short_pith_number":"pith:L3EA5B7L","schema_version":"1.0","canonical_sha256":"5ec80e87ebe529fd46dc9a17a9b37904f9e71d621fbd1e0de107664650aaf712","source":{"kind":"arxiv","id":"1509.09160","version":2},"attestation_state":"computed","paper":{"title":"Convergence of the Gutt Star Product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"math.QA","authors_text":"Chiara Esposito, Paul Stapor, Stefan Waldmann","submitted_at":"2015-09-30T12:56:18Z","abstract_excerpt":"In this work we consider the Gutt star product viewed as an associative deformation of the symmetric algebra S^\\bullet(g) over a Lie algebra g and discuss its continuity properties: we establish a locally convex topology on S^\\bullet(g) such that the Gutt star product becomes continuous. Here we have to assume a mild technical condition on g: it has to be an Asymptotic Estimate Lie algebra. This condition is e.g. fulfilled automatically for all finite-dimensional Lie algebras. The resulting completion of the symmetric algebra can be described explicitly and yields not only a locally convex alg"},"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":"1509.09160","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-30T12:56:18Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"da354b2740aa912b3fdd30157b120969ee841247d72603c7a934871b0d32413b","abstract_canon_sha256":"dd0cc138e5e4d76f50ce3ece41e411cf25d1703947b174f76f8fd67fdfd21d97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:05.847372Z","signature_b64":"huBsN7D68m23DkfbljdEGEXBemCCXLjulGDlhLAZKsw9Cd4iwse8YmwRWBnpRS+8DvjHcDjnGe/w2rZL2scuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ec80e87ebe529fd46dc9a17a9b37904f9e71d621fbd1e0de107664650aaf712","last_reissued_at":"2026-05-18T00:48:05.846884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:05.846884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of the Gutt Star Product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"math.QA","authors_text":"Chiara Esposito, Paul Stapor, Stefan Waldmann","submitted_at":"2015-09-30T12:56:18Z","abstract_excerpt":"In this work we consider the Gutt star product viewed as an associative deformation of the symmetric algebra S^\\bullet(g) over a Lie algebra g and discuss its continuity properties: we establish a locally convex topology on S^\\bullet(g) such that the Gutt star product becomes continuous. Here we have to assume a mild technical condition on g: it has to be an Asymptotic Estimate Lie algebra. This condition is e.g. fulfilled automatically for all finite-dimensional Lie algebras. The resulting completion of the symmetric algebra can be described explicitly and yields not only a locally convex alg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.09160","kind":"arxiv","version":2},"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":"1509.09160","created_at":"2026-05-18T00:48:05.846967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.09160v2","created_at":"2026-05-18T00:48:05.846967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.09160","created_at":"2026-05-18T00:48:05.846967+00:00"},{"alias_kind":"pith_short_12","alias_value":"L3EA5B7L4UU7","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"L3EA5B7L4UU72RW4","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"L3EA5B7L","created_at":"2026-05-18T12:29:29.992203+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/L3EA5B7L4UU72RW4TIL2TM3ZAT","json":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT.json","graph_json":"https://pith.science/api/pith-number/L3EA5B7L4UU72RW4TIL2TM3ZAT/graph.json","events_json":"https://pith.science/api/pith-number/L3EA5B7L4UU72RW4TIL2TM3ZAT/events.json","paper":"https://pith.science/paper/L3EA5B7L"},"agent_actions":{"view_html":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT","download_json":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT.json","view_paper":"https://pith.science/paper/L3EA5B7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.09160&json=true","fetch_graph":"https://pith.science/api/pith-number/L3EA5B7L4UU72RW4TIL2TM3ZAT/graph.json","fetch_events":"https://pith.science/api/pith-number/L3EA5B7L4UU72RW4TIL2TM3ZAT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT/action/storage_attestation","attest_author":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT/action/author_attestation","sign_citation":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT/action/citation_signature","submit_replication":"https://pith.science/pith/L3EA5B7L4UU72RW4TIL2TM3ZAT/action/replication_record"}},"created_at":"2026-05-18T00:48:05.846967+00:00","updated_at":"2026-05-18T00:48:05.846967+00:00"}