{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QWBREIF32ZGM4247YRDELH5F6P","short_pith_number":"pith:QWBREIF3","schema_version":"1.0","canonical_sha256":"85831220bbd64cce6b9fc446459fa5f3c1e215f15477c2834cdbeae578055895","source":{"kind":"arxiv","id":"1703.00318","version":2},"attestation_state":"computed","paper":{"title":"The cone topology on masures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Auguste H\\'ebert (UJM), Bernhard M\\\"uhlherr (JLU), Corina Ciobotaru, Guy Rousseau","submitted_at":"2017-03-01T14:40:50Z","abstract_excerpt":"Masures are generalizations of Bruhat--Tits buildings and the main examples are associated with almost split Kac--Moody groups G over non-Archimedean local fields. In this case, G acts strongly transitively on its corresponding masure $\\Delta$ as well as on the building at infinity of $\\Delta$, which is the twin building associated with G. The aim of this article is twofold: firstly, to introduce and study the cone topology on the twin building at infinity of a masure. It turns out that this topology has various favorable properties that are required in the literature as axioms for a topologic"},"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":"1703.00318","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-03-01T14:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"83baf863661e67d2d0066f9bca97b94696a7fadf0e7e7e962d4ee957c379d7a7","abstract_canon_sha256":"fa72af17b294022e7c8fb4603f69a9c5ecfd6540049c189a88c447c01ce81f2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:37.945164Z","signature_b64":"Yuq+VaNrHH9DWz+8hwFQ8P1P39KUnWsohdIOYopnGycGed/EeFp+eSQi/+A03GA0ndLq5Vq31TGpHVc+XseBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85831220bbd64cce6b9fc446459fa5f3c1e215f15477c2834cdbeae578055895","last_reissued_at":"2026-05-18T00:13:37.944575Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:37.944575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The cone topology on masures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Auguste H\\'ebert (UJM), Bernhard M\\\"uhlherr (JLU), Corina Ciobotaru, Guy Rousseau","submitted_at":"2017-03-01T14:40:50Z","abstract_excerpt":"Masures are generalizations of Bruhat--Tits buildings and the main examples are associated with almost split Kac--Moody groups G over non-Archimedean local fields. In this case, G acts strongly transitively on its corresponding masure $\\Delta$ as well as on the building at infinity of $\\Delta$, which is the twin building associated with G. The aim of this article is twofold: firstly, to introduce and study the cone topology on the twin building at infinity of a masure. It turns out that this topology has various favorable properties that are required in the literature as axioms for a topologic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00318","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":""},"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":"1703.00318","created_at":"2026-05-18T00:13:37.944675+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00318v2","created_at":"2026-05-18T00:13:37.944675+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00318","created_at":"2026-05-18T00:13:37.944675+00:00"},{"alias_kind":"pith_short_12","alias_value":"QWBREIF32ZGM","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QWBREIF32ZGM4247","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QWBREIF3","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/QWBREIF32ZGM4247YRDELH5F6P","json":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P.json","graph_json":"https://pith.science/api/pith-number/QWBREIF32ZGM4247YRDELH5F6P/graph.json","events_json":"https://pith.science/api/pith-number/QWBREIF32ZGM4247YRDELH5F6P/events.json","paper":"https://pith.science/paper/QWBREIF3"},"agent_actions":{"view_html":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P","download_json":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P.json","view_paper":"https://pith.science/paper/QWBREIF3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00318&json=true","fetch_graph":"https://pith.science/api/pith-number/QWBREIF32ZGM4247YRDELH5F6P/graph.json","fetch_events":"https://pith.science/api/pith-number/QWBREIF32ZGM4247YRDELH5F6P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P/action/storage_attestation","attest_author":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P/action/author_attestation","sign_citation":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P/action/citation_signature","submit_replication":"https://pith.science/pith/QWBREIF32ZGM4247YRDELH5F6P/action/replication_record"}},"created_at":"2026-05-18T00:13:37.944675+00:00","updated_at":"2026-05-18T00:13:37.944675+00:00"}