{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:QM4EPD64JXXGK3AFQBGVE6NTQS","short_pith_number":"pith:QM4EPD64","schema_version":"1.0","canonical_sha256":"8338478fdc4dee656c05804d5279b384a5288691e944aee81e168e57e7be9c35","source":{"kind":"arxiv","id":"1012.5262","version":1},"attestation_state":"computed","paper":{"title":"On the spectral theory of Rickart Ordered *-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Alexander A. Katz, Dmitry Sh. Goldstein, Roman Sklyar","submitted_at":"2010-12-23T17:50:57Z","abstract_excerpt":"RO*-algebras are defined and studied. For RO*-algebra T, using properties of partial order, it is established that the set of bounded elements can be endowed with C*-norm. The structure of commutative subalgebras of T is considered and the Spectral Theorem for any self-adjoint element of T is proven."},"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":"1012.5262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-12-23T17:50:57Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"ce8f29faec32b52f02850e21b0973dff89d3190c270f2dc1b74e94ff72ae466a","abstract_canon_sha256":"9a8c5a9fce906e373afb8c5d5010ee211105aee7cf1a4f63d84278e854180dc4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:35.481004Z","signature_b64":"0fOdQUMBmq7S5Nj4vpJyPD3XnLVAQTAOmoOUmg3LUcfbyPpfASFYvX94VdLVHP3cKW8e/U7eoC3gbQq0e8ZlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8338478fdc4dee656c05804d5279b384a5288691e944aee81e168e57e7be9c35","last_reissued_at":"2026-05-18T04:32:35.480438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:35.480438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the spectral theory of Rickart Ordered *-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Alexander A. Katz, Dmitry Sh. Goldstein, Roman Sklyar","submitted_at":"2010-12-23T17:50:57Z","abstract_excerpt":"RO*-algebras are defined and studied. For RO*-algebra T, using properties of partial order, it is established that the set of bounded elements can be endowed with C*-norm. The structure of commutative subalgebras of T is considered and the Spectral Theorem for any self-adjoint element of T is proven."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5262","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":"1012.5262","created_at":"2026-05-18T04:32:35.480511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5262v1","created_at":"2026-05-18T04:32:35.480511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5262","created_at":"2026-05-18T04:32:35.480511+00:00"},{"alias_kind":"pith_short_12","alias_value":"QM4EPD64JXXG","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"QM4EPD64JXXGK3AF","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"QM4EPD64","created_at":"2026-05-18T12:26:12.377268+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/QM4EPD64JXXGK3AFQBGVE6NTQS","json":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS.json","graph_json":"https://pith.science/api/pith-number/QM4EPD64JXXGK3AFQBGVE6NTQS/graph.json","events_json":"https://pith.science/api/pith-number/QM4EPD64JXXGK3AFQBGVE6NTQS/events.json","paper":"https://pith.science/paper/QM4EPD64"},"agent_actions":{"view_html":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS","download_json":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS.json","view_paper":"https://pith.science/paper/QM4EPD64","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5262&json=true","fetch_graph":"https://pith.science/api/pith-number/QM4EPD64JXXGK3AFQBGVE6NTQS/graph.json","fetch_events":"https://pith.science/api/pith-number/QM4EPD64JXXGK3AFQBGVE6NTQS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS/action/storage_attestation","attest_author":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS/action/author_attestation","sign_citation":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS/action/citation_signature","submit_replication":"https://pith.science/pith/QM4EPD64JXXGK3AFQBGVE6NTQS/action/replication_record"}},"created_at":"2026-05-18T04:32:35.480511+00:00","updated_at":"2026-05-18T04:32:35.480511+00:00"}