{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:M3AXLPNXOWWYK3BR3RZYVNQIJ7","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":"bb430931046387aa685d3dc29f7702d6e224203c89ec8db99f3814daa1e78104","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2025-06-06T15:00:07Z","title_canon_sha256":"c97d215e688688036140066ceca914f0ee2e757275283a4c67942a5ea5aed63c"},"schema_version":"1.0","source":{"id":"2506.06142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06142","created_at":"2026-07-05T11:17:26Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06142v1","created_at":"2026-07-05T11:17:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06142","created_at":"2026-07-05T11:17:26Z"},{"alias_kind":"pith_short_12","alias_value":"M3AXLPNXOWWY","created_at":"2026-07-05T11:17:26Z"},{"alias_kind":"pith_short_16","alias_value":"M3AXLPNXOWWYK3BR","created_at":"2026-07-05T11:17:26Z"},{"alias_kind":"pith_short_8","alias_value":"M3AXLPNX","created_at":"2026-07-05T11:17:26Z"}],"graph_snapshots":[{"event_id":"sha256:2ab57d313c87d0c660bf6da8a5dab2006c8b81e607e541d9515755bed51ecb93","target":"graph","created_at":"2026-07-05T11:17:26Z","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/2506.06142/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The fine curve graph of a surface is the graph whose vertices are simple closed essential curves in the surface and whose edges connect disjoint curves. In this paper, we prove that the automorphism group of the fine curve graph of a surface is naturally isomorphic to the homeomorphism group of the surface for boundaryless planar surfaces with at least 7 punctures.","authors_text":"Arthur Wang, Roberta Shapiro, Rohan Wadhwa, Yuchong Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2025-06-06T15:00:07Z","title":"Automorphisms of fine curve graphs of planar surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06142","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":"sha256:588d7d7f1557994680c030eaaf850d16977a6979cff034c1ba2695c52afab9a9","target":"record","created_at":"2026-07-05T11:17:26Z","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":"bb430931046387aa685d3dc29f7702d6e224203c89ec8db99f3814daa1e78104","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2025-06-06T15:00:07Z","title_canon_sha256":"c97d215e688688036140066ceca914f0ee2e757275283a4c67942a5ea5aed63c"},"schema_version":"1.0","source":{"id":"2506.06142","kind":"arxiv","version":1}},"canonical_sha256":"66c175bdb775ad856c31dc738ab6084fe0508fbd3dd1b6633191ef3b68943534","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66c175bdb775ad856c31dc738ab6084fe0508fbd3dd1b6633191ef3b68943534","first_computed_at":"2026-07-05T11:17:26.452808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:26.452808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"frrib4X9PYyyzc4SrYvDK82zPsBWZbbbjfrIelDNvDMM8w6TKRh941f9x667WKwgS+VBbK+g4M1E/+Swf6sSCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:26.453298Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.06142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:588d7d7f1557994680c030eaaf850d16977a6979cff034c1ba2695c52afab9a9","sha256:2ab57d313c87d0c660bf6da8a5dab2006c8b81e607e541d9515755bed51ecb93"],"state_sha256":"db811724a71755db1aa887b97b4a80586883f72a5f4d642914d82aab759c2c1c"}