{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6WRQWN3EJE632S73ROSRC36FPC","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":"e6810684da2976e98948a3f31e688d4ac606bde4f26cdba233164847dc544880","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2024-01-27T17:34:04Z","title_canon_sha256":"2db6799a9c07088097cc7110f5e1a9020414fac9737f8fb995e3902e7671c88a"},"schema_version":"1.0","source":{"id":"2401.15466","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.15466","created_at":"2026-07-05T07:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"2401.15466v1","created_at":"2026-07-05T07:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.15466","created_at":"2026-07-05T07:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"6WRQWN3EJE63","created_at":"2026-07-05T07:38:16Z"},{"alias_kind":"pith_short_16","alias_value":"6WRQWN3EJE632S73","created_at":"2026-07-05T07:38:16Z"},{"alias_kind":"pith_short_8","alias_value":"6WRQWN3E","created_at":"2026-07-05T07:38:16Z"}],"graph_snapshots":[{"event_id":"sha256:8775c94cbd63e6c948c915503dcbb2cb3d38cdb8aa32ae71819e6ea0341b8115","target":"graph","created_at":"2026-07-05T07:38:16Z","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/2401.15466/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we classify Hamiltonian $S^1$-actions on compact, four dimensional symplectic orbifolds that have isolated singular points with cyclic orbifold structure groups, thus extending the classification due to Karshon to the orbifold setting. To such a space, we associated a combinatorial invariant, a labeled multigraph, that determines the isomorphism type of the space. Moreover, we show that any such space can be obtained by applying finitely many equivariant weighted blow-ups to a minimal space, i.e., one on which no equivariant weighted blow-down can be applied.","authors_text":"Daniele Sepe, Grace T. Mwakyoma-Oliveira, Leonor Godinho","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2024-01-27T17:34:04Z","title":"Classification of Hamiltonian $S^1$-actions on compact symplectic orbifolds with isolated cyclic singular points in dimension four"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.15466","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":"sha256:43020be99eb668758f937c972fae33636be07930096df3ff8b6012881b76f27a","target":"record","created_at":"2026-07-05T07:38:16Z","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":"e6810684da2976e98948a3f31e688d4ac606bde4f26cdba233164847dc544880","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2024-01-27T17:34:04Z","title_canon_sha256":"2db6799a9c07088097cc7110f5e1a9020414fac9737f8fb995e3902e7671c88a"},"schema_version":"1.0","source":{"id":"2401.15466","kind":"arxiv","version":1}},"canonical_sha256":"f5a30b3764493dbd4bfb8ba5116fc5788ae602b24993c0b0a7159ac46a1eaf04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5a30b3764493dbd4bfb8ba5116fc5788ae602b24993c0b0a7159ac46a1eaf04","first_computed_at":"2026-07-05T07:38:16.554104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:38:16.554104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GddAA8xwDFfaJYZzMXl2oPG0pP/mgz/t5X0skZvp+UWLAj09geWOsKEckRoopW8459zVdQ40sB4Zwjeh8RxFDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:38:16.554505Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.15466","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43020be99eb668758f937c972fae33636be07930096df3ff8b6012881b76f27a","sha256:8775c94cbd63e6c948c915503dcbb2cb3d38cdb8aa32ae71819e6ea0341b8115"],"state_sha256":"6df5a0f0340a0055a79f59a0f8ec604d7e3a70ac0fcd89751671b9d742006ed8"}