{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:D5BA33B7XLFTOJHKGWHMSZA65P","short_pith_number":"pith:D5BA33B7","schema_version":"1.0","canonical_sha256":"1f420dec3fbacb3724ea358ec9641eebc0847a898ee5b3620ff9256880819fec","source":{"kind":"arxiv","id":"1904.03599","version":1},"attestation_state":"computed","paper":{"title":"Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Anthony Genevois, Olga Varghese","submitted_at":"2019-04-07T07:36:49Z","abstract_excerpt":"An automorphism of a graph product of groups is conjugating if it sends each factor to a conjugate of a factor (possibly different). In this article, we determine precisely when the group of conjugating automorphisms of a graph product satisfies Kazhdan's property (T) and when it satisfies some vastness properties including SQ-universality."},"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":"1904.03599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-04-07T07:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"d0b37a8a350c7b50776e379d1667b0209ecfcea00ea6029bc4031fbbfa52f060","abstract_canon_sha256":"212f374f26454b41ad30ed4928e23b49c517120d3d3e11348c529186ffde92d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:12.840755Z","signature_b64":"eevShDlrpEDzBQtklhlYEOb4LmEA2vJayPPPOLotmTWL7u0gvlDL2Sz+yZm+l0/tLzBw0hqrcNf77kWhi4m7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f420dec3fbacb3724ea358ec9641eebc0847a898ee5b3620ff9256880819fec","last_reissued_at":"2026-05-17T23:49:12.840049Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:12.840049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Anthony Genevois, Olga Varghese","submitted_at":"2019-04-07T07:36:49Z","abstract_excerpt":"An automorphism of a graph product of groups is conjugating if it sends each factor to a conjugate of a factor (possibly different). In this article, we determine precisely when the group of conjugating automorphisms of a graph product satisfies Kazhdan's property (T) and when it satisfies some vastness properties including SQ-universality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03599","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":"1904.03599","created_at":"2026-05-17T23:49:12.840164+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.03599v1","created_at":"2026-05-17T23:49:12.840164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03599","created_at":"2026-05-17T23:49:12.840164+00:00"},{"alias_kind":"pith_short_12","alias_value":"D5BA33B7XLFT","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"D5BA33B7XLFTOJHK","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"D5BA33B7","created_at":"2026-05-18T12:33:15.570797+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/D5BA33B7XLFTOJHKGWHMSZA65P","json":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P.json","graph_json":"https://pith.science/api/pith-number/D5BA33B7XLFTOJHKGWHMSZA65P/graph.json","events_json":"https://pith.science/api/pith-number/D5BA33B7XLFTOJHKGWHMSZA65P/events.json","paper":"https://pith.science/paper/D5BA33B7"},"agent_actions":{"view_html":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P","download_json":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P.json","view_paper":"https://pith.science/paper/D5BA33B7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.03599&json=true","fetch_graph":"https://pith.science/api/pith-number/D5BA33B7XLFTOJHKGWHMSZA65P/graph.json","fetch_events":"https://pith.science/api/pith-number/D5BA33B7XLFTOJHKGWHMSZA65P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P/action/storage_attestation","attest_author":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P/action/author_attestation","sign_citation":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P/action/citation_signature","submit_replication":"https://pith.science/pith/D5BA33B7XLFTOJHKGWHMSZA65P/action/replication_record"}},"created_at":"2026-05-17T23:49:12.840164+00:00","updated_at":"2026-05-17T23:49:12.840164+00:00"}