{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:MQBG5EBYM2ILCGEPKQUTB4KET7","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":"62e13b502c993caadf6dfc855c36e39f743d9eaec7991851781ad5477baea761","cross_cats_sorted":["math.GT","math.RA"],"license":"","primary_cat":"math.DS","submitted_at":"2001-04-10T12:03:46Z","title_canon_sha256":"3dfcf07e460b2e93451d3cc50e0f33226fa5b77b2e623f7e954e47ae222b2b6a"},"schema_version":"1.0","source":{"id":"math/0104108","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0104108","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0104108v1","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0104108","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"MQBG5EBYM2IL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MQBG5EBYM2ILCGEP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MQBG5EBY","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:12b6a4289c5a2c1dd0034f2c5bfcc8d74dacc7eb027f7af88a1ae3ed890ba0a7","target":"graph","created_at":"2026-05-18T02:38:00Z","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":"We consider faithful projective actions of a cocompact lattice of SL(2,R) on the projective plane, with the following property: there is a common fixed point, which is a saddle fixed point for every element of infinite order of the the group. Typical examples of such an action are linear actions, ie, when the action arises from a morphism of the group into GL(2,R), viewed as the group of linear transformations of a copy of the affine plane in RP^{2}. We prove that in the general situation, such an action is always topologically linearisable, and that the linearisation is Lipschitz if and only ","authors_text":"Thierry Barbot","cross_cats":["math.GT","math.RA"],"headline":"","license":"","primary_cat":"math.DS","submitted_at":"2001-04-10T12:03:46Z","title":"Flag Structures on Seifert Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0104108","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":"sha256:73f767ab670befb981b14da7e801257a5e082385247f5dfd070c245f9ca208b9","target":"record","created_at":"2026-05-18T02:38:00Z","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":"62e13b502c993caadf6dfc855c36e39f743d9eaec7991851781ad5477baea761","cross_cats_sorted":["math.GT","math.RA"],"license":"","primary_cat":"math.DS","submitted_at":"2001-04-10T12:03:46Z","title_canon_sha256":"3dfcf07e460b2e93451d3cc50e0f33226fa5b77b2e623f7e954e47ae222b2b6a"},"schema_version":"1.0","source":{"id":"math/0104108","kind":"arxiv","version":1}},"canonical_sha256":"64026e90386690b1188f542930f1449fc71ee701cf77a3a61bf86ee083efcf49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64026e90386690b1188f542930f1449fc71ee701cf77a3a61bf86ee083efcf49","first_computed_at":"2026-05-18T02:38:00.835586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:00.835586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mASP4kCRRs4SnRHWcnBWRIv1DuIpJQ6dI1hwVbaw2vMNbvBSPl2xCPzIFWF9GU9C44pzpXTJr3hgMEwyb6t1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:00.836037Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0104108","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73f767ab670befb981b14da7e801257a5e082385247f5dfd070c245f9ca208b9","sha256:12b6a4289c5a2c1dd0034f2c5bfcc8d74dacc7eb027f7af88a1ae3ed890ba0a7"],"state_sha256":"3a5d084eb672df61a5c648706e5d97261ec420bbaac811d522d8f3e176ea4d41"}