{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:EIIFKXNBVH432LUB3U2UBIRILE","short_pith_number":"pith:EIIFKXNB","schema_version":"1.0","canonical_sha256":"2210555da1a9f9bd2e81dd3540a228592dd08f947231d3d519fb285310cf7995","source":{"kind":"arxiv","id":"0907.3264","version":1},"attestation_state":"computed","paper":{"title":"Bruhat-Tits theory from Berkovich's point of view. II. Satake compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GR","authors_text":"Amaury Thuillier (ICJ), Annette Werner, Bertrand Remy (ICJ)","submitted_at":"2009-07-19T06:29:54Z","abstract_excerpt":"In our previous paper \"Bruhat-Tits theory from Berkovich's point of view. I ? Realizations and compactifications of buildings\", we investigated realizations of the Bruhat-Tits building B(G,k) of a connected and reductive linear algebraic group G over a non-Archimedean field k in the framework of Berkovich's non-Archimedean analytic geometry, and we studied in detail the compactifications of the building which arise from this point of view. In this paper, we give a representation theoretic flavor to these compactifications, following Satake's original constructions for Riemannian symmetric spac"},"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":"0907.3264","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-07-19T06:29:54Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"08d3dfdbfcece396b9632e3b101d7bb7baa60d6e83acefcbad71bf36c2921f4e","abstract_canon_sha256":"fb022876045f913edb279dacad51a48a87decfe06afc1860a41627522138439e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:13.862516Z","signature_b64":"AUQwUTk/1ms6cdFoQcpII0JVzbwHOWaXWo1LxgpX2jdCLlnFtOPJ2fh3AKcty5McZMhTIB5gSNg1UYxCwmzGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2210555da1a9f9bd2e81dd3540a228592dd08f947231d3d519fb285310cf7995","last_reissued_at":"2026-05-18T03:44:13.861936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:13.861936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bruhat-Tits theory from Berkovich's point of view. II. Satake compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GR","authors_text":"Amaury Thuillier (ICJ), Annette Werner, Bertrand Remy (ICJ)","submitted_at":"2009-07-19T06:29:54Z","abstract_excerpt":"In our previous paper \"Bruhat-Tits theory from Berkovich's point of view. I ? Realizations and compactifications of buildings\", we investigated realizations of the Bruhat-Tits building B(G,k) of a connected and reductive linear algebraic group G over a non-Archimedean field k in the framework of Berkovich's non-Archimedean analytic geometry, and we studied in detail the compactifications of the building which arise from this point of view. In this paper, we give a representation theoretic flavor to these compactifications, following Satake's original constructions for Riemannian symmetric spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3264","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":"0907.3264","created_at":"2026-05-18T03:44:13.862016+00:00"},{"alias_kind":"arxiv_version","alias_value":"0907.3264v1","created_at":"2026-05-18T03:44:13.862016+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3264","created_at":"2026-05-18T03:44:13.862016+00:00"},{"alias_kind":"pith_short_12","alias_value":"EIIFKXNBVH43","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"EIIFKXNBVH432LUB","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"EIIFKXNB","created_at":"2026-05-18T12:25:59.703012+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/EIIFKXNBVH432LUB3U2UBIRILE","json":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE.json","graph_json":"https://pith.science/api/pith-number/EIIFKXNBVH432LUB3U2UBIRILE/graph.json","events_json":"https://pith.science/api/pith-number/EIIFKXNBVH432LUB3U2UBIRILE/events.json","paper":"https://pith.science/paper/EIIFKXNB"},"agent_actions":{"view_html":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE","download_json":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE.json","view_paper":"https://pith.science/paper/EIIFKXNB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0907.3264&json=true","fetch_graph":"https://pith.science/api/pith-number/EIIFKXNBVH432LUB3U2UBIRILE/graph.json","fetch_events":"https://pith.science/api/pith-number/EIIFKXNBVH432LUB3U2UBIRILE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE/action/storage_attestation","attest_author":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE/action/author_attestation","sign_citation":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE/action/citation_signature","submit_replication":"https://pith.science/pith/EIIFKXNBVH432LUB3U2UBIRILE/action/replication_record"}},"created_at":"2026-05-18T03:44:13.862016+00:00","updated_at":"2026-05-18T03:44:13.862016+00:00"}