{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZY6DV3H7EYJB74XCHNZSQQYYIT","short_pith_number":"pith:ZY6DV3H7","schema_version":"1.0","canonical_sha256":"ce3c3aecff26121ff2e23b7328431844f65a1bbf31cf3be9b874f52f98f97d6d","source":{"kind":"arxiv","id":"1606.05284","version":2},"attestation_state":"computed","paper":{"title":"Cyclicity of the left regular representation of a locally compact group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Zsolt Tanko","submitted_at":"2016-06-16T17:28:50Z","abstract_excerpt":"We combine harmonic analysis and operator algebraic techniques to give a concise argument that the left regular representation of a locally compact group is cyclic if and only if the group is first countable, a result first proved by Greenleaf and Moskowitz."},"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":"1606.05284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-06-16T17:28:50Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"51f69cdd5db97d25f396cf97040ecb62697eefe512bcf8cd670a047b24ef553a","abstract_canon_sha256":"a8c55e34034256f08f8ac9d98fc25099b37709eb9f9b95c0418dcaf9a24d8e07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:37.180222Z","signature_b64":"719dqRLapC1YznUeiP8PWSbmzmWKiLSNNkR8xyCf1huHtoYh6CRHD9m5g8kNLv3wy3z79Hz7ANfdgGnsFIU7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce3c3aecff26121ff2e23b7328431844f65a1bbf31cf3be9b874f52f98f97d6d","last_reissued_at":"2026-05-18T01:04:37.179588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:37.179588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclicity of the left regular representation of a locally compact group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Zsolt Tanko","submitted_at":"2016-06-16T17:28:50Z","abstract_excerpt":"We combine harmonic analysis and operator algebraic techniques to give a concise argument that the left regular representation of a locally compact group is cyclic if and only if the group is first countable, a result first proved by Greenleaf and Moskowitz."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05284","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":"1606.05284","created_at":"2026-05-18T01:04:37.179654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.05284v2","created_at":"2026-05-18T01:04:37.179654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05284","created_at":"2026-05-18T01:04:37.179654+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZY6DV3H7EYJB","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZY6DV3H7EYJB74XC","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZY6DV3H7","created_at":"2026-05-18T12:30:55.937587+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/ZY6DV3H7EYJB74XCHNZSQQYYIT","json":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT.json","graph_json":"https://pith.science/api/pith-number/ZY6DV3H7EYJB74XCHNZSQQYYIT/graph.json","events_json":"https://pith.science/api/pith-number/ZY6DV3H7EYJB74XCHNZSQQYYIT/events.json","paper":"https://pith.science/paper/ZY6DV3H7"},"agent_actions":{"view_html":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT","download_json":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT.json","view_paper":"https://pith.science/paper/ZY6DV3H7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.05284&json=true","fetch_graph":"https://pith.science/api/pith-number/ZY6DV3H7EYJB74XCHNZSQQYYIT/graph.json","fetch_events":"https://pith.science/api/pith-number/ZY6DV3H7EYJB74XCHNZSQQYYIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT/action/storage_attestation","attest_author":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT/action/author_attestation","sign_citation":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT/action/citation_signature","submit_replication":"https://pith.science/pith/ZY6DV3H7EYJB74XCHNZSQQYYIT/action/replication_record"}},"created_at":"2026-05-18T01:04:37.179654+00:00","updated_at":"2026-05-18T01:04:37.179654+00:00"}