{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:35SFZUA27Q3BOVH6ZJRMCPL32J","short_pith_number":"pith:35SFZUA2","schema_version":"1.0","canonical_sha256":"df645cd01afc361754feca62c13d7bd25c40ad45687c7e970bc1acdb7c7273cb","source":{"kind":"arxiv","id":"1812.03777","version":2},"attestation_state":"computed","paper":{"title":"Avatars of Margulis invariants and proper actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.DS"],"primary_cat":"math.GT","authors_text":"Sourav Ghosh","submitted_at":"2018-12-10T13:11:39Z","abstract_excerpt":"In this article, we provide a necessary and sufficient criterion for proper actions on $\\mathbb{H}^{n,n-1}$ in terms of certain special Anosov representations in $\\mathsf{SO}(n,n)$. Moreover, we show that affine Anosov representations of any word hyperbolic group in $\\mathsf{SO}(n,n-1)\\ltimes\\mathbb{R}^{2n-1}$ are infinitesimal versions of such special Anosov representations. Finally, using the above two results we interpret Margulis spacetimes as infinitesimal versions of quotient manifolds of $\\mathbb{H}^{n,n-1}$.\n  In the appendix, we give a description of the appropriate cross-ratios in ou"},"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":"1812.03777","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-10T13:11:39Z","cross_cats_sorted":["math.DG","math.DS"],"title_canon_sha256":"a77478a459a467c6e33979172c3fffeb4c350663c925b03dd5905f8e6a88fa51","abstract_canon_sha256":"c47c2860675f4fe591a9d9d0e92f96e87f3e76b7e46023e6c5d9afba78e79e1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:52:54.471854Z","signature_b64":"1ez2JE8OxVJtZFc5D+hMc26j32+tbo/0Y0kfpqJerkXkBbLS4A49LzXCK3I7JG7fdQzHjeRZr5ydB10q0K7fAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df645cd01afc361754feca62c13d7bd25c40ad45687c7e970bc1acdb7c7273cb","last_reissued_at":"2026-07-05T09:52:54.471373Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:52:54.471373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Avatars of Margulis invariants and proper actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.DS"],"primary_cat":"math.GT","authors_text":"Sourav Ghosh","submitted_at":"2018-12-10T13:11:39Z","abstract_excerpt":"In this article, we provide a necessary and sufficient criterion for proper actions on $\\mathbb{H}^{n,n-1}$ in terms of certain special Anosov representations in $\\mathsf{SO}(n,n)$. Moreover, we show that affine Anosov representations of any word hyperbolic group in $\\mathsf{SO}(n,n-1)\\ltimes\\mathbb{R}^{2n-1}$ are infinitesimal versions of such special Anosov representations. Finally, using the above two results we interpret Margulis spacetimes as infinitesimal versions of quotient manifolds of $\\mathbb{H}^{n,n-1}$.\n  In the appendix, we give a description of the appropriate cross-ratios in ou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03777","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1812.03777/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":"1812.03777","created_at":"2026-07-05T09:52:54.471433+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.03777v2","created_at":"2026-07-05T09:52:54.471433+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03777","created_at":"2026-07-05T09:52:54.471433+00:00"},{"alias_kind":"pith_short_12","alias_value":"35SFZUA27Q3B","created_at":"2026-07-05T09:52:54.471433+00:00"},{"alias_kind":"pith_short_16","alias_value":"35SFZUA27Q3BOVH6","created_at":"2026-07-05T09:52:54.471433+00:00"},{"alias_kind":"pith_short_8","alias_value":"35SFZUA2","created_at":"2026-07-05T09:52:54.471433+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.17422","citing_title":"Affine Anosov representations","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J","json":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J.json","graph_json":"https://pith.science/api/pith-number/35SFZUA27Q3BOVH6ZJRMCPL32J/graph.json","events_json":"https://pith.science/api/pith-number/35SFZUA27Q3BOVH6ZJRMCPL32J/events.json","paper":"https://pith.science/paper/35SFZUA2"},"agent_actions":{"view_html":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J","download_json":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J.json","view_paper":"https://pith.science/paper/35SFZUA2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.03777&json=true","fetch_graph":"https://pith.science/api/pith-number/35SFZUA27Q3BOVH6ZJRMCPL32J/graph.json","fetch_events":"https://pith.science/api/pith-number/35SFZUA27Q3BOVH6ZJRMCPL32J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J/action/storage_attestation","attest_author":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J/action/author_attestation","sign_citation":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J/action/citation_signature","submit_replication":"https://pith.science/pith/35SFZUA27Q3BOVH6ZJRMCPL32J/action/replication_record"}},"created_at":"2026-07-05T09:52:54.471433+00:00","updated_at":"2026-07-05T09:52:54.471433+00:00"}