{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z42UGQZTW36QVGRF4DJ6PMGSAC","short_pith_number":"pith:Z42UGQZT","canonical_record":{"source":{"id":"1409.2547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-09-08T23:11:10Z","cross_cats_sorted":[],"title_canon_sha256":"7ab321d7a78e7bec84e97566d1f323dee1b0576b790ba757201cdfe7451cc1b6","abstract_canon_sha256":"cfa0c2938505ed022893595fc97322774618b52a4bb40461262f2d537605c813"},"schema_version":"1.0"},"canonical_sha256":"cf35434333b6fd0a9a25e0d3e7b0d20092b729c6c52e98d57a157cb3ce6f797d","source":{"kind":"arxiv","id":"1409.2547","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2547","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2547v2","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2547","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"Z42UGQZTW36Q","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z42UGQZTW36QVGRF","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z42UGQZT","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z42UGQZTW36QVGRF4DJ6PMGSAC","target":"record","payload":{"canonical_record":{"source":{"id":"1409.2547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-09-08T23:11:10Z","cross_cats_sorted":[],"title_canon_sha256":"7ab321d7a78e7bec84e97566d1f323dee1b0576b790ba757201cdfe7451cc1b6","abstract_canon_sha256":"cfa0c2938505ed022893595fc97322774618b52a4bb40461262f2d537605c813"},"schema_version":"1.0"},"canonical_sha256":"cf35434333b6fd0a9a25e0d3e7b0d20092b729c6c52e98d57a157cb3ce6f797d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:18.322157Z","signature_b64":"AIsJF6s0JHSFu9+jkhXOE4DG1wv5dUD5UdH7Iq7mGdLUSZxXRTMyw3GQsQGjitv+4NAM1AIDd+Syq9j6LIBiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf35434333b6fd0a9a25e0d3e7b0d20092b729c6c52e98d57a157cb3ce6f797d","last_reissued_at":"2026-05-18T01:14:18.321650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:18.321650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.2547","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zbf52wYdMYOdKl1560QETigXm+QE0pFqdpVzVG4lfVAnDW5yHrr8eIMGX5p/I6iKW6yMw7ZjMYTqJH5KLE4vDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:29:33.107338Z"},"content_sha256":"c005333f2e1d3549b5ad8f68ea73253902fa24d2a6d5c03896088ab1b1a4e61c","schema_version":"1.0","event_id":"sha256:c005333f2e1d3549b5ad8f68ea73253902fa24d2a6d5c03896088ab1b1a4e61c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z42UGQZTW36QVGRF4DJ6PMGSAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connes-amenability of Fourier--Stieltjes algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Faruk Uygul, Volker Runde","submitted_at":"2014-09-08T23:11:10Z","abstract_excerpt":"Let $G$ be a locally compact group, and let $B(G)$ denote its Fourier--Stieltjes algebra. We show that $B(G)$ is Connes-amenable if and only if $G$ is almost abelian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2547","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mpw3l1MhUZr83q41dWYrHS+A6ut62X/c2ZGDSgpcopzb+gS4I7cB2CbpGvf6Zb068SnYYDYXy8fUsE5hz5jiBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:29:33.107678Z"},"content_sha256":"86c500c37f94cbacf3bf69e422fc4daa15900045f36344618f3aa15530188fb5","schema_version":"1.0","event_id":"sha256:86c500c37f94cbacf3bf69e422fc4daa15900045f36344618f3aa15530188fb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC/bundle.json","state_url":"https://pith.science/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T08:29:33Z","links":{"resolver":"https://pith.science/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC","bundle":"https://pith.science/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC/bundle.json","state":"https://pith.science/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z42UGQZTW36QVGRF4DJ6PMGSAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z42UGQZTW36QVGRF4DJ6PMGSAC","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":"cfa0c2938505ed022893595fc97322774618b52a4bb40461262f2d537605c813","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-09-08T23:11:10Z","title_canon_sha256":"7ab321d7a78e7bec84e97566d1f323dee1b0576b790ba757201cdfe7451cc1b6"},"schema_version":"1.0","source":{"id":"1409.2547","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2547","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2547v2","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2547","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"Z42UGQZTW36Q","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z42UGQZTW36QVGRF","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z42UGQZT","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:86c500c37f94cbacf3bf69e422fc4daa15900045f36344618f3aa15530188fb5","target":"graph","created_at":"2026-05-18T01:14:18Z","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":"Let $G$ be a locally compact group, and let $B(G)$ denote its Fourier--Stieltjes algebra. We show that $B(G)$ is Connes-amenable if and only if $G$ is almost abelian.","authors_text":"Faruk Uygul, Volker Runde","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-09-08T23:11:10Z","title":"Connes-amenability of Fourier--Stieltjes algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2547","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:c005333f2e1d3549b5ad8f68ea73253902fa24d2a6d5c03896088ab1b1a4e61c","target":"record","created_at":"2026-05-18T01:14:18Z","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":"cfa0c2938505ed022893595fc97322774618b52a4bb40461262f2d537605c813","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-09-08T23:11:10Z","title_canon_sha256":"7ab321d7a78e7bec84e97566d1f323dee1b0576b790ba757201cdfe7451cc1b6"},"schema_version":"1.0","source":{"id":"1409.2547","kind":"arxiv","version":2}},"canonical_sha256":"cf35434333b6fd0a9a25e0d3e7b0d20092b729c6c52e98d57a157cb3ce6f797d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf35434333b6fd0a9a25e0d3e7b0d20092b729c6c52e98d57a157cb3ce6f797d","first_computed_at":"2026-05-18T01:14:18.321650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:18.321650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AIsJF6s0JHSFu9+jkhXOE4DG1wv5dUD5UdH7Iq7mGdLUSZxXRTMyw3GQsQGjitv+4NAM1AIDd+Syq9j6LIBiCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:18.322157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2547","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c005333f2e1d3549b5ad8f68ea73253902fa24d2a6d5c03896088ab1b1a4e61c","sha256:86c500c37f94cbacf3bf69e422fc4daa15900045f36344618f3aa15530188fb5"],"state_sha256":"ec0a4a1d898cf4626e0d307a3e64e4575a99e0364d47b42efe6c3ef24ca92202"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONMZ8Hduxdclnk6/nK49eSRA6mbplYD4b/+w6U/5fueXgBLHeU2cM3YfmWxdX223RGb3VeMR1b1h3msP9jf+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T08:29:33.109520Z","bundle_sha256":"ecfb290c37ba9864ba39c54ae00e4156c6de5f61a3b535c236eb6f33463a75fc"}}