{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VFS62BIERUFATJ6S2HXNYQEII3","short_pith_number":"pith:VFS62BIE","schema_version":"1.0","canonical_sha256":"a965ed05048d0a09a7d2d1eedc408846c3677f889a1f7e10b91ab5281af8e3e0","source":{"kind":"arxiv","id":"0912.0574","version":1},"attestation_state":"computed","paper":{"title":"An easy proof of the Stone-von Neumann-Mackey theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Amritanshu Prasad","submitted_at":"2009-12-03T05:03:54Z","abstract_excerpt":"The Stone-von Neumann-Mackey Theorem for Heisenberg groups associated to locally compact abelian groups is proved using the Peter-Weyl theorem and the theory of Fourier transforms for finite dimensional real vector spaces. A theorem of Pontryagin and van Kampen on the structure of locally compact abelian groups (which is evident in any particular case) is assumed."},"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":"0912.0574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-12-03T05:03:54Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"9e90def712f6f9b0b505ab45240ff293f93deeb2df9ad857d64acde437dfbd91","abstract_canon_sha256":"1f4b903b02bf44a3a274cc30520e42a6a4e9219ac281dd8aa1f123b7b4a077b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:26.124612Z","signature_b64":"Ld5mdLhYcod/1s94yyw2F/ICmtnY5I/lwasDXIEwAtrvKfdHfLb1ZI47OtohdMAuryPGUC32HrXHR6SqYsRmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a965ed05048d0a09a7d2d1eedc408846c3677f889a1f7e10b91ab5281af8e3e0","last_reissued_at":"2026-05-18T04:25:26.123806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:26.123806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An easy proof of the Stone-von Neumann-Mackey theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Amritanshu Prasad","submitted_at":"2009-12-03T05:03:54Z","abstract_excerpt":"The Stone-von Neumann-Mackey Theorem for Heisenberg groups associated to locally compact abelian groups is proved using the Peter-Weyl theorem and the theory of Fourier transforms for finite dimensional real vector spaces. A theorem of Pontryagin and van Kampen on the structure of locally compact abelian groups (which is evident in any particular case) is assumed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0574","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":"0912.0574","created_at":"2026-05-18T04:25:26.123915+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.0574v1","created_at":"2026-05-18T04:25:26.123915+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0574","created_at":"2026-05-18T04:25:26.123915+00:00"},{"alias_kind":"pith_short_12","alias_value":"VFS62BIERUFA","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VFS62BIERUFATJ6S","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VFS62BIE","created_at":"2026-05-18T12:26:02.257875+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/VFS62BIERUFATJ6S2HXNYQEII3","json":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3.json","graph_json":"https://pith.science/api/pith-number/VFS62BIERUFATJ6S2HXNYQEII3/graph.json","events_json":"https://pith.science/api/pith-number/VFS62BIERUFATJ6S2HXNYQEII3/events.json","paper":"https://pith.science/paper/VFS62BIE"},"agent_actions":{"view_html":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3","download_json":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3.json","view_paper":"https://pith.science/paper/VFS62BIE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.0574&json=true","fetch_graph":"https://pith.science/api/pith-number/VFS62BIERUFATJ6S2HXNYQEII3/graph.json","fetch_events":"https://pith.science/api/pith-number/VFS62BIERUFATJ6S2HXNYQEII3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3/action/storage_attestation","attest_author":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3/action/author_attestation","sign_citation":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3/action/citation_signature","submit_replication":"https://pith.science/pith/VFS62BIERUFATJ6S2HXNYQEII3/action/replication_record"}},"created_at":"2026-05-18T04:25:26.123915+00:00","updated_at":"2026-05-18T04:25:26.123915+00:00"}