{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ISDGI6G2YAKDMQUVUVEZ6MM3RU","short_pith_number":"pith:ISDGI6G2","schema_version":"1.0","canonical_sha256":"44866478dac014364295a5499f319b8d30313b69612315a4fe97f97095aaf156","source":{"kind":"arxiv","id":"2607.29571","version":1},"attestation_state":"computed","paper":{"title":"Strongly converging unitary representations for extensions by exact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.OA","authors_text":"David Gao, Mahan Mj, Srivatsav Kunnawalkam Elayavalli","submitted_at":"2026-07-31T15:59:10Z","abstract_excerpt":"We prove the existence of strongly converging unitary representations in various new settings of countable groups, in particular, arising as extensions by exact groups: semidirect products with amenable groups; generalized wreath products with abelian base; graph wreath products; various free-by-cyclic groups including Gersten's group; and general Bernoulli shift crossed products on $C^*$-algebras."},"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":"2607.29571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-07-31T15:59:10Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"4d3f54d0a6253305265f4e23887ab4fc8f0657903b82cf819a8977350c242e32","abstract_canon_sha256":"fdefaf01e98f55d048fe8dc6f69700136cff09fc9d6cd123fcfab73a3c9a7a7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-03T01:38:58.300239Z","signature_b64":"Ls0ibmB5hHXKdkiymGzJWIulCk62u4eS9M7Uwm6coUobav5TJuM1ukRw6NL2iZC1uXLzUBUwsnzEYuT1UrHoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44866478dac014364295a5499f319b8d30313b69612315a4fe97f97095aaf156","last_reissued_at":"2026-08-03T01:38:58.298502Z","signature_status":"signed_v1","first_computed_at":"2026-08-03T01:38:58.298502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strongly converging unitary representations for extensions by exact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.OA","authors_text":"David Gao, Mahan Mj, Srivatsav Kunnawalkam Elayavalli","submitted_at":"2026-07-31T15:59:10Z","abstract_excerpt":"We prove the existence of strongly converging unitary representations in various new settings of countable groups, in particular, arising as extensions by exact groups: semidirect products with amenable groups; generalized wreath products with abelian base; graph wreath products; various free-by-cyclic groups including Gersten's group; and general Bernoulli shift crossed products on $C^*$-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29571","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.29571/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.29571","created_at":"2026-08-03T01:38:58.299578+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.29571v1","created_at":"2026-08-03T01:38:58.299578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29571","created_at":"2026-08-03T01:38:58.299578+00:00"},{"alias_kind":"pith_short_12","alias_value":"ISDGI6G2YAKD","created_at":"2026-08-03T01:38:58.299578+00:00"},{"alias_kind":"pith_short_16","alias_value":"ISDGI6G2YAKDMQUV","created_at":"2026-08-03T01:38:58.299578+00:00"},{"alias_kind":"pith_short_8","alias_value":"ISDGI6G2","created_at":"2026-08-03T01:38:58.299578+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/ISDGI6G2YAKDMQUVUVEZ6MM3RU","json":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU.json","graph_json":"https://pith.science/api/pith-number/ISDGI6G2YAKDMQUVUVEZ6MM3RU/graph.json","events_json":"https://pith.science/api/pith-number/ISDGI6G2YAKDMQUVUVEZ6MM3RU/events.json","paper":"https://pith.science/paper/ISDGI6G2"},"agent_actions":{"view_html":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU","download_json":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU.json","view_paper":"https://pith.science/paper/ISDGI6G2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.29571&json=true","fetch_graph":"https://pith.science/api/pith-number/ISDGI6G2YAKDMQUVUVEZ6MM3RU/graph.json","fetch_events":"https://pith.science/api/pith-number/ISDGI6G2YAKDMQUVUVEZ6MM3RU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU/action/storage_attestation","attest_author":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU/action/author_attestation","sign_citation":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU/action/citation_signature","submit_replication":"https://pith.science/pith/ISDGI6G2YAKDMQUVUVEZ6MM3RU/action/replication_record"}},"created_at":"2026-08-03T01:38:58.299578+00:00","updated_at":"2026-08-03T01:38:58.299578+00:00"}