{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6PG7OBCEJEQDVGOS2SGPZARGLQ","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":"c75450511b89a28c3d94f578e80bddef530bc22ac2d41e4dbc68af7a6c252dc4","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-08T15:05:29Z","title_canon_sha256":"fd65465298ef07bb8bbbc85b1638b8a045fdaab9ea2f7f10fb76b7b5f9ea0478"},"schema_version":"1.0","source":{"id":"1703.02862","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02862","created_at":"2026-05-18T00:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02862v2","created_at":"2026-05-18T00:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02862","created_at":"2026-05-18T00:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"6PG7OBCEJEQD","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6PG7OBCEJEQDVGOS","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6PG7OBCE","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:328192a5c74deb9535c457542f7bf1f5931e462d9fb1155112993ba16035925d","target":"graph","created_at":"2026-05-18T00:42:29Z","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":"In the study of locally convex quasi *-algebras an important role is played by representable linear functionals; i.e., functionals which allow a GNS-construction. This paper is mainly devoted to the study of the continuity of representable functionals in Banach and Hilbert quasi *-algebras. Some other concepts related to representable functionals (full-representability, *-semisimplicity, etc) are revisited in these special cases. In particular, in the case of Hilbert quasi *-algebras, which are shown to be fully representable, the existence of a 1-1 correspondence between positive, bounded ele","authors_text":"Camillo TRapani, Maria Stella Adamo","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-08T15:05:29Z","title":"Representable and continuous functionals on Banach quasi *-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02862","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:e8cb168bab1fd08a30c088b92762e9b65a56f2f59d65271edd7e0c9b250978f3","target":"record","created_at":"2026-05-18T00:42:29Z","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":"c75450511b89a28c3d94f578e80bddef530bc22ac2d41e4dbc68af7a6c252dc4","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-08T15:05:29Z","title_canon_sha256":"fd65465298ef07bb8bbbc85b1638b8a045fdaab9ea2f7f10fb76b7b5f9ea0478"},"schema_version":"1.0","source":{"id":"1703.02862","kind":"arxiv","version":2}},"canonical_sha256":"f3cdf7044449203a99d2d48cfc82265c3424ef47910b0a4fcaf2fa8c870f2458","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3cdf7044449203a99d2d48cfc82265c3424ef47910b0a4fcaf2fa8c870f2458","first_computed_at":"2026-05-18T00:42:29.377981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:29.377981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xg1aatK1gvhcmEoYGzj7i3GfuN8zyscoRw3NjrDJWuzdGvFLOktGExfrrLN0Lu1QpExviV1S0yU5SLQ15hwNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:29.378771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.02862","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8cb168bab1fd08a30c088b92762e9b65a56f2f59d65271edd7e0c9b250978f3","sha256:328192a5c74deb9535c457542f7bf1f5931e462d9fb1155112993ba16035925d"],"state_sha256":"2378bd4e02374b75e368e63c8dcd3f869f765c7570d26bf4f0fac1f1b6866e5a"}