{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D5ZAPOQO4ISN54FDYTFGLL7M4D","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":"73258e22e88584fbd004a887f4ecbdc91fa3847d7af53b6b3f648f75d819e417","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-10-28T17:13:07Z","title_canon_sha256":"62a469ab461d988215118a7b8c50ab100047b6a37bd755dc849c260e546f2596"},"schema_version":"1.0","source":{"id":"1810.11837","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11837","created_at":"2026-07-05T04:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11837v4","created_at":"2026-07-05T04:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11837","created_at":"2026-07-05T04:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"D5ZAPOQO4ISN","created_at":"2026-07-05T04:23:33Z"},{"alias_kind":"pith_short_16","alias_value":"D5ZAPOQO4ISN54FD","created_at":"2026-07-05T04:23:33Z"},{"alias_kind":"pith_short_8","alias_value":"D5ZAPOQO","created_at":"2026-07-05T04:23:33Z"}],"graph_snapshots":[{"event_id":"sha256:d04872aac95e79e2e8be7272cae9303be96ecd8a4ba7fffca1ab4a7abf287ac3","target":"graph","created_at":"2026-07-05T04:23:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1810.11837/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate the geometric P=W conjecture for singular character varieties. We establish it for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus. To this end, we employ non-Archimedean, birational and degeneration techniques to study the topology of the dual boundary complex of certain character varieties. We also clarify the relation between the geometric and the cohomological P=W conjectures.","authors_text":"Enrica Mazzon, Matthew Stevenson, Mirko Mauri","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-10-28T17:13:07Z","title":"On the geometric P=W conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11837","kind":"arxiv","version":4},"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":"sha256:16476e7f5e78da649d93febe220326d8f84b34da11d3afb17bc0567bec413818","target":"record","created_at":"2026-07-05T04:23:33Z","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":"73258e22e88584fbd004a887f4ecbdc91fa3847d7af53b6b3f648f75d819e417","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-10-28T17:13:07Z","title_canon_sha256":"62a469ab461d988215118a7b8c50ab100047b6a37bd755dc849c260e546f2596"},"schema_version":"1.0","source":{"id":"1810.11837","kind":"arxiv","version":4}},"canonical_sha256":"1f7207ba0ee224def0a3c4ca65afece0e8e3ecf16d3ecbe1d5d234686f8e5ca0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f7207ba0ee224def0a3c4ca65afece0e8e3ecf16d3ecbe1d5d234686f8e5ca0","first_computed_at":"2026-07-05T04:23:33.191955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:23:33.191955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C5prucywhxLQmnw8z9gCYGUtVz3roENBejxI6umXFtEH0a8a/EQoQnQXiGmuL/Rysb2V1ktsijHixIA0V5bzDw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:23:33.192369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.11837","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16476e7f5e78da649d93febe220326d8f84b34da11d3afb17bc0567bec413818","sha256:d04872aac95e79e2e8be7272cae9303be96ecd8a4ba7fffca1ab4a7abf287ac3"],"state_sha256":"a5123042c32540640ecbe735863266c420831afd4be1136dd9495dbc5bc5b7e3"}