{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:7ELWLYTUDWIVAGZAUJJSQOC2NS","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":"7624c569378f5531e73fc1c0f2a813c298871c99bde3364ff57c43807c3ad325","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-12-04T21:39:25Z","title_canon_sha256":"3e239a5089751e339b1d76257ab107abfcc80e02bec4e39de40383470bb15861"},"schema_version":"1.0","source":{"id":"2312.02361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.02361","created_at":"2026-07-05T11:07:00Z"},{"alias_kind":"arxiv_version","alias_value":"2312.02361v2","created_at":"2026-07-05T11:07:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.02361","created_at":"2026-07-05T11:07:00Z"},{"alias_kind":"pith_short_12","alias_value":"7ELWLYTUDWIV","created_at":"2026-07-05T11:07:00Z"},{"alias_kind":"pith_short_16","alias_value":"7ELWLYTUDWIVAGZA","created_at":"2026-07-05T11:07:00Z"},{"alias_kind":"pith_short_8","alias_value":"7ELWLYTU","created_at":"2026-07-05T11:07:00Z"}],"graph_snapshots":[{"event_id":"sha256:4ebadb39a8b59c5cb145548f5df9ea4ce3a7252bf9d87928b151ed4cd93ea28f","target":"graph","created_at":"2026-07-05T11:07:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.02361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mann and Rafi's seminal work initiated the study of the coarse geometry of big mapping class groups. Specifically, they construct coarsely bounded (CB) generating sets for mapping class groups of a large class of infinite-type surfaces. In this expository note, we illustrate examples of surfaces whose mapping class groups admit such generating sets, as well as those that do not, with the goal of exploring the context of Mann--Rafi's hypotheses.","authors_text":"Rebecca Rechkin, Sanghoon Kwak, Thomas Hill","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-12-04T21:39:25Z","title":"Coarsely bounded generating sets for mapping class groups of infinite-type surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.02361","kind":"arxiv","version":2},"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":"sha256:8894205225cdb44f524ea59212f876039ac064bfc253093961947d7f260f91aa","target":"record","created_at":"2026-07-05T11:07:00Z","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":"7624c569378f5531e73fc1c0f2a813c298871c99bde3364ff57c43807c3ad325","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-12-04T21:39:25Z","title_canon_sha256":"3e239a5089751e339b1d76257ab107abfcc80e02bec4e39de40383470bb15861"},"schema_version":"1.0","source":{"id":"2312.02361","kind":"arxiv","version":2}},"canonical_sha256":"f91765e2741d91501b20a25328385a6c8798b22709faacdf83ece6e4133434a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f91765e2741d91501b20a25328385a6c8798b22709faacdf83ece6e4133434a6","first_computed_at":"2026-07-05T11:07:00.846305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:07:00.846305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RmyGsFWcuEezRDeOoF548qyuLdDk8YyCTV+oo6qC45R/AjCmYjgO8U3cV7DH9CkRAhUrMaLapNiHFS71mexsCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:07:00.846803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.02361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8894205225cdb44f524ea59212f876039ac064bfc253093961947d7f260f91aa","sha256:4ebadb39a8b59c5cb145548f5df9ea4ce3a7252bf9d87928b151ed4cd93ea28f"],"state_sha256":"8d9527fc4e9e8a0da6924d7b30e484dd3614b1756e87961dbf7049439074f0e7"}