{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:F5TSKU2KFIRDF64TKCFMDZ32LJ","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":"50e5ffc48910f7e976fe1ea4bae5cbfdc5bd13632e733e03ab72417f866c5161","cross_cats_sorted":["math.FA","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-28T20:24:05Z","title_canon_sha256":"0a891bc5bf2abd4c18bf9276917169e96f3423bcf7a1c9fbf172cdb9d0aefb3e"},"schema_version":"1.0","source":{"id":"1304.7518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7518","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7518v1","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7518","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"F5TSKU2KFIRD","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"F5TSKU2KFIRDF64T","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"F5TSKU2K","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:8e6b37361591a4d83daf77931e90c68974c0b398c439aa43716d6e98cf5b1965","target":"graph","created_at":"2026-05-17T23:58:15Z","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":"Meta-centralizers of non-locally compact group algebras are studied. Theorems about their representations with the help of families of generalized measures are proved. Isomorphisms of group algebras are investigated in relation with meta-centralizers.","authors_text":"S.V. Ludkovsky","cross_cats":["math.FA","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-28T20:24:05Z","title":"Meta-centralizers of non locally compact group algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7518","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:eb8eb22a7781f936854f65d7e43286d95937ad89dda8d459b4155caf06a6f564","target":"record","created_at":"2026-05-17T23:58:15Z","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":"50e5ffc48910f7e976fe1ea4bae5cbfdc5bd13632e733e03ab72417f866c5161","cross_cats_sorted":["math.FA","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-28T20:24:05Z","title_canon_sha256":"0a891bc5bf2abd4c18bf9276917169e96f3423bcf7a1c9fbf172cdb9d0aefb3e"},"schema_version":"1.0","source":{"id":"1304.7518","kind":"arxiv","version":1}},"canonical_sha256":"2f6725534a2a2232fb93508ac1e77a5a5900f6e64a31521aa92d79193b9cfc87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f6725534a2a2232fb93508ac1e77a5a5900f6e64a31521aa92d79193b9cfc87","first_computed_at":"2026-05-17T23:58:15.413610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:15.413610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1pdLNhtwsUwVUL8hovh0I6YkuH+Xv2XXR1n4ycp+IpkYGPXQCXkSZfVCFQaCmm2KuSCc52zJiBfaCjWmnjJxAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:15.414163Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb8eb22a7781f936854f65d7e43286d95937ad89dda8d459b4155caf06a6f564","sha256:8e6b37361591a4d83daf77931e90c68974c0b398c439aa43716d6e98cf5b1965"],"state_sha256":"bcf9ddd287801423ca8690dc2b0023ae704100b2645243eab2d882fff4d66e31"}