{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QLWK66NIB572GPSJ42XER6Z3UP","short_pith_number":"pith:QLWK66NI","schema_version":"1.0","canonical_sha256":"82ecaf79a80f7fa33e49e6ae48fb3ba3de71d82d160a261464ab83dbf8397ce0","source":{"kind":"arxiv","id":"1701.09136","version":3},"attestation_state":"computed","paper":{"title":"Convex cocompactness in pseudo-Riemannian hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Fanny Kassel, Fran\\c{c}ois Gu\\'eritaud, Jeffrey Danciger","submitted_at":"2017-01-31T17:15:50Z","abstract_excerpt":"Anosov representations of word hyperbolic groups into higher-rank semisimple Lie groups are representations with finite kernel and discrete image that have strong analogies with convex cocompact representations into rank-one Lie groups. However, the most naive analogy fails: generically, Anosov representations do not act properly and cocompactly on a convex set in the associated Riemannian symmetric space. We study representations into projective indefinite orthogonal groups PO(p,q) by considering their action on the associated pseudo-Riemannian hyperbolic space H^{p,q-1} in place of the Riema"},"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":"1701.09136","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-01-31T17:15:50Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"ba18cd8a9e6017acbc302e72080d4672e5ab08a86dcf19bdf6116287c9af61d5","abstract_canon_sha256":"ae5037f1bd022c0741688731ee389769fbba6c4163a1edcadf42575e14c884bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:10.035495Z","signature_b64":"NTOguk87un1u0m3WXi8140rbxKTZgG/7a3STrP5ak5BzHrxS2TWk/tj94h40bEViEova8YBH0W0Gi+ntRpp6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82ecaf79a80f7fa33e49e6ae48fb3ba3de71d82d160a261464ab83dbf8397ce0","last_reissued_at":"2026-05-18T00:34:10.034341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:10.034341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convex cocompactness in pseudo-Riemannian hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Fanny Kassel, Fran\\c{c}ois Gu\\'eritaud, Jeffrey Danciger","submitted_at":"2017-01-31T17:15:50Z","abstract_excerpt":"Anosov representations of word hyperbolic groups into higher-rank semisimple Lie groups are representations with finite kernel and discrete image that have strong analogies with convex cocompact representations into rank-one Lie groups. However, the most naive analogy fails: generically, Anosov representations do not act properly and cocompactly on a convex set in the associated Riemannian symmetric space. We study representations into projective indefinite orthogonal groups PO(p,q) by considering their action on the associated pseudo-Riemannian hyperbolic space H^{p,q-1} in place of the Riema"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.09136","kind":"arxiv","version":3},"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":"1701.09136","created_at":"2026-05-18T00:34:10.034805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.09136v3","created_at":"2026-05-18T00:34:10.034805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.09136","created_at":"2026-05-18T00:34:10.034805+00:00"},{"alias_kind":"pith_short_12","alias_value":"QLWK66NIB572","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QLWK66NIB572GPSJ","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QLWK66NI","created_at":"2026-05-18T12:31:39.905425+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/QLWK66NIB572GPSJ42XER6Z3UP","json":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP.json","graph_json":"https://pith.science/api/pith-number/QLWK66NIB572GPSJ42XER6Z3UP/graph.json","events_json":"https://pith.science/api/pith-number/QLWK66NIB572GPSJ42XER6Z3UP/events.json","paper":"https://pith.science/paper/QLWK66NI"},"agent_actions":{"view_html":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP","download_json":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP.json","view_paper":"https://pith.science/paper/QLWK66NI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.09136&json=true","fetch_graph":"https://pith.science/api/pith-number/QLWK66NIB572GPSJ42XER6Z3UP/graph.json","fetch_events":"https://pith.science/api/pith-number/QLWK66NIB572GPSJ42XER6Z3UP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP/action/storage_attestation","attest_author":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP/action/author_attestation","sign_citation":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP/action/citation_signature","submit_replication":"https://pith.science/pith/QLWK66NIB572GPSJ42XER6Z3UP/action/replication_record"}},"created_at":"2026-05-18T00:34:10.034805+00:00","updated_at":"2026-05-18T00:34:10.034805+00:00"}