{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:T73JOSDXGESQHTA6JPBKVUFDHI","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":"596f333a7999a16b86c8e67fbda319a1061ddbb52bc54cbebeaaa0577963df00","cross_cats_sorted":[],"license":"","primary_cat":"math.AT","submitted_at":"2007-05-19T17:26:33Z","title_canon_sha256":"8a4e9951aa0f8393e55900f5e916323f62e4fcdaa514c2fb321d1ab96afc0855"},"schema_version":"1.0","source":{"id":"0705.2830","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.2830","created_at":"2026-05-18T03:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"0705.2830v1","created_at":"2026-05-18T03:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.2830","created_at":"2026-05-18T03:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"T73JOSDXGESQ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"T73JOSDXGESQHTA6","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"T73JOSDX","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:e7439f5ea609144027ddd6280b013b6a0f51ecf1362a6b3eddc690237d7f4725","target":"graph","created_at":"2026-05-18T03:44:24Z","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":"In this paper we prove that the complement to the affine complex arrangement of type \\widetilde{B}_n is a K(\\pi, 1) space. We also compute the cohomology of the affine Artin group G of type \\widetilde{B}_n with coefficients over several interesting local systems. In particular, we consider the module Q[q^{\\pm 1}, t^{\\pm 1}], where the first n-standard generators of G act by (-q)-multiplication while the last generator acts by (-t)-multiplication. Such representation generalizes the analog 1-parameter representation related to the bundle structure over the complement to the discriminant hypersu","authors_text":"Davide Moroni, Filippo Callegaro, Mario Salvetti","cross_cats":[],"headline":"","license":"","primary_cat":"math.AT","submitted_at":"2007-05-19T17:26:33Z","title":"The K(\\pi, 1) problem for the affine Artin group of type \\widetilde{B}_n and its cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.2830","kind":"arxiv","version":1},"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:eab9ca68e358ff5a70317abe50dda77018d3adbfadd90bd35965fbccd17c35fe","target":"record","created_at":"2026-05-18T03:44:24Z","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":"596f333a7999a16b86c8e67fbda319a1061ddbb52bc54cbebeaaa0577963df00","cross_cats_sorted":[],"license":"","primary_cat":"math.AT","submitted_at":"2007-05-19T17:26:33Z","title_canon_sha256":"8a4e9951aa0f8393e55900f5e916323f62e4fcdaa514c2fb321d1ab96afc0855"},"schema_version":"1.0","source":{"id":"0705.2830","kind":"arxiv","version":1}},"canonical_sha256":"9ff6974877312503cc1e4bc2aad0a33a3cdcefba061ee49f22910fb6a57e3454","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ff6974877312503cc1e4bc2aad0a33a3cdcefba061ee49f22910fb6a57e3454","first_computed_at":"2026-05-18T03:44:24.935647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:24.935647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NXdywqlZ4TCKH7sGeS6e2OXBIH+bAACCKeJotZOF0KxYRdE0nm/v568UPHRMqBsHRPQaBXQew1X/ZEVPVfQrBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:24.936243Z","signed_message":"canonical_sha256_bytes"},"source_id":"0705.2830","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eab9ca68e358ff5a70317abe50dda77018d3adbfadd90bd35965fbccd17c35fe","sha256:e7439f5ea609144027ddd6280b013b6a0f51ecf1362a6b3eddc690237d7f4725"],"state_sha256":"99925ae9b303f67f79438deab7299bf46ca75134643282f4ce56af4dafdd85d8"}