{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2XTHE7FSMGC3VKRGADRECYC76E","short_pith_number":"pith:2XTHE7FS","schema_version":"1.0","canonical_sha256":"d5e6727cb26185baaa2600e241605ff13c55a6a156f4d34f8d19290dad628651","source":{"kind":"arxiv","id":"1403.0223","version":2},"attestation_state":"computed","paper":{"title":"A unified proof of the Howe-Moore property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Corina Ciobotaru","submitted_at":"2014-03-02T15:31:45Z","abstract_excerpt":"We provide a unified proof of all known examples of locally compact groups that enjoy the Howe-Moore property, namely, the vanishing at infinity of all matrix coefficients of the group unitary representations that are without non-zero invariant vectors. These examples are: connected, non-compact, simple real Lie groups with finite center, isotropic simple algebraic groups over non Archimedean local fields and closed, topologically simple subgroups of Aut(T) that act 2-transitively on the boundary at infinity of T, where T is a bi-regular tree with valence > 2 at every vertex."},"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":"1403.0223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-02T15:31:45Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"49ea51b174fa4addbc3120bb5c56725e69e6fe14d4a908512b5d83245b70bf79","abstract_canon_sha256":"0df9787f73de2a72a7a7de7b43febb135908bd4b6022976b919c6c894e06cbb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:15.563636Z","signature_b64":"/LmeXPr6+dZvA1JkCMhww/US0Q1gy3WCelLEynRPNIAxfzOSytkdNeLph9JRt9FVhPHTKOjkNVLurz/dOC3gAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5e6727cb26185baaa2600e241605ff13c55a6a156f4d34f8d19290dad628651","last_reissued_at":"2026-05-18T02:47:15.563057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:15.563057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A unified proof of the Howe-Moore property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Corina Ciobotaru","submitted_at":"2014-03-02T15:31:45Z","abstract_excerpt":"We provide a unified proof of all known examples of locally compact groups that enjoy the Howe-Moore property, namely, the vanishing at infinity of all matrix coefficients of the group unitary representations that are without non-zero invariant vectors. These examples are: connected, non-compact, simple real Lie groups with finite center, isotropic simple algebraic groups over non Archimedean local fields and closed, topologically simple subgroups of Aut(T) that act 2-transitively on the boundary at infinity of T, where T is a bi-regular tree with valence > 2 at every vertex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0223","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":"1403.0223","created_at":"2026-05-18T02:47:15.563142+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0223v2","created_at":"2026-05-18T02:47:15.563142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0223","created_at":"2026-05-18T02:47:15.563142+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XTHE7FSMGC3","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XTHE7FSMGC3VKRG","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XTHE7FS","created_at":"2026-05-18T12:28:11.866339+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/2XTHE7FSMGC3VKRGADRECYC76E","json":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E.json","graph_json":"https://pith.science/api/pith-number/2XTHE7FSMGC3VKRGADRECYC76E/graph.json","events_json":"https://pith.science/api/pith-number/2XTHE7FSMGC3VKRGADRECYC76E/events.json","paper":"https://pith.science/paper/2XTHE7FS"},"agent_actions":{"view_html":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E","download_json":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E.json","view_paper":"https://pith.science/paper/2XTHE7FS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0223&json=true","fetch_graph":"https://pith.science/api/pith-number/2XTHE7FSMGC3VKRGADRECYC76E/graph.json","fetch_events":"https://pith.science/api/pith-number/2XTHE7FSMGC3VKRGADRECYC76E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E/action/storage_attestation","attest_author":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E/action/author_attestation","sign_citation":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E/action/citation_signature","submit_replication":"https://pith.science/pith/2XTHE7FSMGC3VKRGADRECYC76E/action/replication_record"}},"created_at":"2026-05-18T02:47:15.563142+00:00","updated_at":"2026-05-18T02:47:15.563142+00:00"}