{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:Z2PM2NPATSDWNRNMCBREJEM24L","short_pith_number":"pith:Z2PM2NPA","schema_version":"1.0","canonical_sha256":"ce9ecd35e09c8766c5ac106244919ae2dae02b03eae43223ee5acee388ef1308","source":{"kind":"arxiv","id":"1904.00953","version":1},"attestation_state":"computed","paper":{"title":"On a generalization of the Howe-Moore property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Antoine Pinochet Lobos","submitted_at":"2019-04-01T16:44:58Z","abstract_excerpt":"We define a Howe-Moore property relative to a set of subgroups. Namely, a group $G$ has the Howe-Moore property relative to a set $\\mathcal{F}$ of subgroups if for every unitary representation $\\pi$ of $G$, whenever the restriction of $\\pi$ to any element of $\\mathcal{F}$ has no non-trivial invariant vectors, the matrix coefficients vanish at infinity. We prove that a semisimple group has the Howe-Moore property relatively to the family of its factors."},"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":"1904.00953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-04-01T16:44:58Z","cross_cats_sorted":[],"title_canon_sha256":"86d5a26bbd6d881557f0f9e728fa1ce0efe3fc57b56f83c4ae3c2b8ff2a3818a","abstract_canon_sha256":"a7a031b609cc89162006d7a0c62beef4c71bbeb7d4e1e9b1d910ab6030f9a79d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:44.765134Z","signature_b64":"5NYeUDLzLO+Kw+TJdTYMy908FhV8Pab2AEMWIcHemedTzclW1yKs/dHF7FzDqKt++in4aqlto63YqP7GNk3JAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce9ecd35e09c8766c5ac106244919ae2dae02b03eae43223ee5acee388ef1308","last_reissued_at":"2026-05-17T23:49:44.764627Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:44.764627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a generalization of the Howe-Moore property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Antoine Pinochet Lobos","submitted_at":"2019-04-01T16:44:58Z","abstract_excerpt":"We define a Howe-Moore property relative to a set of subgroups. Namely, a group $G$ has the Howe-Moore property relative to a set $\\mathcal{F}$ of subgroups if for every unitary representation $\\pi$ of $G$, whenever the restriction of $\\pi$ to any element of $\\mathcal{F}$ has no non-trivial invariant vectors, the matrix coefficients vanish at infinity. We prove that a semisimple group has the Howe-Moore property relatively to the family of its factors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00953","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":"1904.00953","created_at":"2026-05-17T23:49:44.764701+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.00953v1","created_at":"2026-05-17T23:49:44.764701+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00953","created_at":"2026-05-17T23:49:44.764701+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z2PM2NPATSDW","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z2PM2NPATSDWNRNM","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z2PM2NPA","created_at":"2026-05-18T12:33:33.725879+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/Z2PM2NPATSDWNRNMCBREJEM24L","json":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L.json","graph_json":"https://pith.science/api/pith-number/Z2PM2NPATSDWNRNMCBREJEM24L/graph.json","events_json":"https://pith.science/api/pith-number/Z2PM2NPATSDWNRNMCBREJEM24L/events.json","paper":"https://pith.science/paper/Z2PM2NPA"},"agent_actions":{"view_html":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L","download_json":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L.json","view_paper":"https://pith.science/paper/Z2PM2NPA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.00953&json=true","fetch_graph":"https://pith.science/api/pith-number/Z2PM2NPATSDWNRNMCBREJEM24L/graph.json","fetch_events":"https://pith.science/api/pith-number/Z2PM2NPATSDWNRNMCBREJEM24L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L/action/storage_attestation","attest_author":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L/action/author_attestation","sign_citation":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L/action/citation_signature","submit_replication":"https://pith.science/pith/Z2PM2NPATSDWNRNMCBREJEM24L/action/replication_record"}},"created_at":"2026-05-17T23:49:44.764701+00:00","updated_at":"2026-05-17T23:49:44.764701+00:00"}