{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SROZIPMIOYG7BSMJ3MTFSEH62W","short_pith_number":"pith:SROZIPMI","canonical_record":{"source":{"id":"1110.1362","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-06T19:31:36Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"58886bbfe03f9562e22c35fea3da446d2083e6eac1ef28bb7e479cce3a38d9df","abstract_canon_sha256":"1628ccdf48fb2fb8d0e9eff477f69f10d5b74f505059823cc8f148cf0ac33e09"},"schema_version":"1.0"},"canonical_sha256":"945d943d88760df0c989db265910fed5a296404e7175e871fad5d1985b08cbf2","source":{"kind":"arxiv","id":"1110.1362","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1362","created_at":"2026-05-18T02:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1362v3","created_at":"2026-05-18T02:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1362","created_at":"2026-05-18T02:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"SROZIPMIOYG7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SROZIPMIOYG7BSMJ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SROZIPMI","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SROZIPMIOYG7BSMJ3MTFSEH62W","target":"record","payload":{"canonical_record":{"source":{"id":"1110.1362","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-06T19:31:36Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"58886bbfe03f9562e22c35fea3da446d2083e6eac1ef28bb7e479cce3a38d9df","abstract_canon_sha256":"1628ccdf48fb2fb8d0e9eff477f69f10d5b74f505059823cc8f148cf0ac33e09"},"schema_version":"1.0"},"canonical_sha256":"945d943d88760df0c989db265910fed5a296404e7175e871fad5d1985b08cbf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:37.297759Z","signature_b64":"l/I4btWeBj+U4Wpp7xjsR1r0zG4z7AB9xkrh/RK48624IxH2KSp7oLr/mtjo8PixNpU9Md6kuaZ4MK++X89+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"945d943d88760df0c989db265910fed5a296404e7175e871fad5d1985b08cbf2","last_reissued_at":"2026-05-18T02:20:37.297082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:37.297082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.1362","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:20:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1THywpaclYHE2MnnopFXjXj3KayGR3G62iT3PtTfP7AR87l0vVRszDYQaQkL0wcgUzj2/PHB3XkKIpT4OjqeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:26:43.611634Z"},"content_sha256":"a740c6cf308787495589ec923c8f162455e79268cfd4c0b4b42ba6e0c60fd84c","schema_version":"1.0","event_id":"sha256:a740c6cf308787495589ec923c8f162455e79268cfd4c0b4b42ba6e0c60fd84c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SROZIPMIOYG7BSMJ3MTFSEH62W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bruhat-Tits buildings and analytic geometry","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":"2011-10-06T19:31:36Z","abstract_excerpt":"This paper provides an overview of the theory of Bruhat-Tits buildings. Besides, we explain how Bruhat-Tits buildings can be realized inside Berkovich spaces. In this way, Berkovich analytic geometry canbe used to compactify buildings. We discuss in detail the example of the special linear group. Moreover, we give an intrinsic description of Bruhat-Tits buildings in the framework of non-Archimedean analytic geometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1362","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:20:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mrRo2SipMEx9/1sL3zG+5iHisZY1r4/1fGpTRchh1jR/LVQKkS4jGc4gGfhnN8ekDqTYTAxvs9wTvCHRlVQ7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:26:43.611994Z"},"content_sha256":"c771fd5eff308b03cbdbdfccb0358ce90050a537a1e3d4f35cbe5fd1aec78eda","schema_version":"1.0","event_id":"sha256:c771fd5eff308b03cbdbdfccb0358ce90050a537a1e3d4f35cbe5fd1aec78eda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SROZIPMIOYG7BSMJ3MTFSEH62W/bundle.json","state_url":"https://pith.science/pith/SROZIPMIOYG7BSMJ3MTFSEH62W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SROZIPMIOYG7BSMJ3MTFSEH62W/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T09:26:43Z","links":{"resolver":"https://pith.science/pith/SROZIPMIOYG7BSMJ3MTFSEH62W","bundle":"https://pith.science/pith/SROZIPMIOYG7BSMJ3MTFSEH62W/bundle.json","state":"https://pith.science/pith/SROZIPMIOYG7BSMJ3MTFSEH62W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SROZIPMIOYG7BSMJ3MTFSEH62W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SROZIPMIOYG7BSMJ3MTFSEH62W","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1628ccdf48fb2fb8d0e9eff477f69f10d5b74f505059823cc8f148cf0ac33e09","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-06T19:31:36Z","title_canon_sha256":"58886bbfe03f9562e22c35fea3da446d2083e6eac1ef28bb7e479cce3a38d9df"},"schema_version":"1.0","source":{"id":"1110.1362","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1362","created_at":"2026-05-18T02:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1362v3","created_at":"2026-05-18T02:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1362","created_at":"2026-05-18T02:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"SROZIPMIOYG7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SROZIPMIOYG7BSMJ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SROZIPMI","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:c771fd5eff308b03cbdbdfccb0358ce90050a537a1e3d4f35cbe5fd1aec78eda","target":"graph","created_at":"2026-05-18T02:20:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper provides an overview of the theory of Bruhat-Tits buildings. Besides, we explain how Bruhat-Tits buildings can be realized inside Berkovich spaces. In this way, Berkovich analytic geometry canbe used to compactify buildings. We discuss in detail the example of the special linear group. Moreover, we give an intrinsic description of Bruhat-Tits buildings in the framework of non-Archimedean analytic geometry.","authors_text":"Amaury Thuillier (ICJ), Annette Werner, Bertrand Remy (ICJ)","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-06T19:31:36Z","title":"Bruhat-Tits buildings and analytic geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1362","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a740c6cf308787495589ec923c8f162455e79268cfd4c0b4b42ba6e0c60fd84c","target":"record","created_at":"2026-05-18T02:20:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1628ccdf48fb2fb8d0e9eff477f69f10d5b74f505059823cc8f148cf0ac33e09","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-06T19:31:36Z","title_canon_sha256":"58886bbfe03f9562e22c35fea3da446d2083e6eac1ef28bb7e479cce3a38d9df"},"schema_version":"1.0","source":{"id":"1110.1362","kind":"arxiv","version":3}},"canonical_sha256":"945d943d88760df0c989db265910fed5a296404e7175e871fad5d1985b08cbf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"945d943d88760df0c989db265910fed5a296404e7175e871fad5d1985b08cbf2","first_computed_at":"2026-05-18T02:20:37.297082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:37.297082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l/I4btWeBj+U4Wpp7xjsR1r0zG4z7AB9xkrh/RK48624IxH2KSp7oLr/mtjo8PixNpU9Md6kuaZ4MK++X89+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:37.297759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1362","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a740c6cf308787495589ec923c8f162455e79268cfd4c0b4b42ba6e0c60fd84c","sha256:c771fd5eff308b03cbdbdfccb0358ce90050a537a1e3d4f35cbe5fd1aec78eda"],"state_sha256":"d51411feaed7d84897fb8dcc2a6da9d69d72ea863a7a3deffa693134b204be7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cllOiYHp9GACh9Nab7N3wHGHFd9on1M2oIpofK+RbsIY5voDAqjbZrbCgFJ0rlXxefYcTx/88p9Ldb4DJ9fWCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T09:26:43.614106Z","bundle_sha256":"968cf04d3c2f7acf12071e1c4407e2e64abadafaa3954b099f2ce45f7e4e3f88"}}