{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WN75ERYYQRZJG7QFUHYZX77K4K","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":"353bb823d9fc0b16a0d08b22b3eea7f1b9297d7e30a7d4ded89a037e4f16473a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-28T14:57:29Z","title_canon_sha256":"3263483eb7655068d73736cbc6515b2b01da96630b122c9178452d293da874b1"},"schema_version":"1.0","source":{"id":"1509.08341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08341","created_at":"2026-05-18T01:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08341v1","created_at":"2026-05-18T01:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08341","created_at":"2026-05-18T01:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"WN75ERYYQRZJ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WN75ERYYQRZJG7QF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WN75ERYY","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:f2a38452cd7abf27a73715fd3e8e3847d9ae25252b16c9f6776ad8ceaa3b031e","target":"graph","created_at":"2026-05-18T01:31:54Z","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 study the (relative) SL(2,C) character varieties of the three-holed projective plane and the action of the mapping class group on them. We describe a domain of discontinuity for this action, which strictly contains the set of primitive stable representations defined by Minsky, and also the set of convex-cocompact characters. We consider the relationship with the previous work of the authors and S. P. Tan on the character variety of the four-holed sphere.","authors_text":"Frederic Palesi, Sara Maloni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-28T14:57:29Z","title":"On the character variety of the three-holed projective plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08341","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":"sha256:31612cde2a0a584117ba9142a52b2ac38b19fc5704dd9403da7e45409a21edc4","target":"record","created_at":"2026-05-18T01:31:54Z","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":"353bb823d9fc0b16a0d08b22b3eea7f1b9297d7e30a7d4ded89a037e4f16473a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-28T14:57:29Z","title_canon_sha256":"3263483eb7655068d73736cbc6515b2b01da96630b122c9178452d293da874b1"},"schema_version":"1.0","source":{"id":"1509.08341","kind":"arxiv","version":1}},"canonical_sha256":"b37fd247188472937e05a1f19bffeae28730dfc1b528753bdae7b7cc602d5bb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b37fd247188472937e05a1f19bffeae28730dfc1b528753bdae7b7cc602d5bb0","first_computed_at":"2026-05-18T01:31:54.122264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:54.122264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i2whScdH9Z905U/9t3xyI9jNb2+i3cERiSO9TUj7HYwybtwS4xvM2A9wgoe7rbfV2PjO02lVjrDN94XjigtEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:54.122784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31612cde2a0a584117ba9142a52b2ac38b19fc5704dd9403da7e45409a21edc4","sha256:f2a38452cd7abf27a73715fd3e8e3847d9ae25252b16c9f6776ad8ceaa3b031e"],"state_sha256":"83dd82aac070d24d90ff8ee01aa18f4ba1697eb4a992ead2e35816e28bcdc214"}