{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CEE4HH7COK45UXQT5RTA2WOMJR","short_pith_number":"pith:CEE4HH7C","canonical_record":{"source":{"id":"2411.12927","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2024-11-19T23:36:24Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"311b859addce2986bacde8e1d14f4c97f4d1d2da251e14f84fd3f34baa0a1561","abstract_canon_sha256":"d0a6a858fe3502d761817057d36f90d23245036f4f1ee0894ec0095ff03bdfc4"},"schema_version":"1.0"},"canonical_sha256":"1109c39fe272b9da5e13ec660d59cc4c7869845e479f94a0dd14f0eaf81bff61","source":{"kind":"arxiv","id":"2411.12927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.12927","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"arxiv_version","alias_value":"2411.12927v1","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.12927","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"pith_short_12","alias_value":"CEE4HH7COK45","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"pith_short_16","alias_value":"CEE4HH7COK45UXQT","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"pith_short_8","alias_value":"CEE4HH7C","created_at":"2026-06-24T14:15:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CEE4HH7COK45UXQT5RTA2WOMJR","target":"record","payload":{"canonical_record":{"source":{"id":"2411.12927","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2024-11-19T23:36:24Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"311b859addce2986bacde8e1d14f4c97f4d1d2da251e14f84fd3f34baa0a1561","abstract_canon_sha256":"d0a6a858fe3502d761817057d36f90d23245036f4f1ee0894ec0095ff03bdfc4"},"schema_version":"1.0"},"canonical_sha256":"1109c39fe272b9da5e13ec660d59cc4c7869845e479f94a0dd14f0eaf81bff61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T14:15:50.249106Z","signature_b64":"ybIA62Y9awiC5h1yJYcE5JisBBtsTHonTyXzSqTwR2cl5OyYMZqIyEa0USrRO3Hk+oyTlpjDa3jo9hTJUpq/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1109c39fe272b9da5e13ec660d59cc4c7869845e479f94a0dd14f0eaf81bff61","last_reissued_at":"2026-06-24T14:15:50.248578Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T14:15:50.248578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.12927","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-24T14:15:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1xoc2m8jC0vhgtkORMNko7xL0m8UNshvH4MnnuUVbf8T0LcxSrjS/A2obXKaJBcD5NlytWi8fndAS242FyTWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T06:51:25.518548Z"},"content_sha256":"fd9dfe03beb6318a5c1aa4193b502beec374a0c192fec4a57e67ca72eb277d4b","schema_version":"1.0","event_id":"sha256:fd9dfe03beb6318a5c1aa4193b502beec374a0c192fec4a57e67ca72eb277d4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CEE4HH7COK45UXQT5RTA2WOMJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of Stable Surfaces with respect to Automatic Continuity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"George Domat, Kasra Rafi, Mladen Bestvina","submitted_at":"2024-11-19T23:36:24Z","abstract_excerpt":"We provide a complete classification of when the homeomorphism group of a stable surface, $\\Sigma$, has the automatic continuity property: Any homomorphism from Homeo$(\\Sigma)$ to a separable group is necessarily continuous. This result descends to a classification of when the mapping class group of $\\Sigma$ has the automatic continuity property. Towards this classification, we provide a general framework for proving automatic continuity for groups of homeomorphisms. Applying this framework, we also show that the homeomorphism group of any stable second countable Stone space has the automatic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.12927","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.12927/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-24T14:15:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DDSeE343YzLwxHJkVTVvJrtF8J5l4c/PX0B5wtVnPy03sku15jXhSdBErkW+p4or8GsLWoM2cyJKIlkPE8J4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T06:51:25.518921Z"},"content_sha256":"58c2c6e70ef9301d35a577936686cf7d2c2860a8be04e62d869a57f7c770b5d3","schema_version":"1.0","event_id":"sha256:58c2c6e70ef9301d35a577936686cf7d2c2860a8be04e62d869a57f7c770b5d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEE4HH7COK45UXQT5RTA2WOMJR/bundle.json","state_url":"https://pith.science/pith/CEE4HH7COK45UXQT5RTA2WOMJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEE4HH7COK45UXQT5RTA2WOMJR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-03T06:51:25Z","links":{"resolver":"https://pith.science/pith/CEE4HH7COK45UXQT5RTA2WOMJR","bundle":"https://pith.science/pith/CEE4HH7COK45UXQT5RTA2WOMJR/bundle.json","state":"https://pith.science/pith/CEE4HH7COK45UXQT5RTA2WOMJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEE4HH7COK45UXQT5RTA2WOMJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CEE4HH7COK45UXQT5RTA2WOMJR","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":"d0a6a858fe3502d761817057d36f90d23245036f4f1ee0894ec0095ff03bdfc4","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2024-11-19T23:36:24Z","title_canon_sha256":"311b859addce2986bacde8e1d14f4c97f4d1d2da251e14f84fd3f34baa0a1561"},"schema_version":"1.0","source":{"id":"2411.12927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.12927","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"arxiv_version","alias_value":"2411.12927v1","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.12927","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"pith_short_12","alias_value":"CEE4HH7COK45","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"pith_short_16","alias_value":"CEE4HH7COK45UXQT","created_at":"2026-06-24T14:15:50Z"},{"alias_kind":"pith_short_8","alias_value":"CEE4HH7C","created_at":"2026-06-24T14:15:50Z"}],"graph_snapshots":[{"event_id":"sha256:58c2c6e70ef9301d35a577936686cf7d2c2860a8be04e62d869a57f7c770b5d3","target":"graph","created_at":"2026-06-24T14:15:50Z","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/2411.12927/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a complete classification of when the homeomorphism group of a stable surface, $\\Sigma$, has the automatic continuity property: Any homomorphism from Homeo$(\\Sigma)$ to a separable group is necessarily continuous. This result descends to a classification of when the mapping class group of $\\Sigma$ has the automatic continuity property. Towards this classification, we provide a general framework for proving automatic continuity for groups of homeomorphisms. Applying this framework, we also show that the homeomorphism group of any stable second countable Stone space has the automatic ","authors_text":"George Domat, Kasra Rafi, Mladen Bestvina","cross_cats":["math.GR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2024-11-19T23:36:24Z","title":"Classification of Stable Surfaces with respect to Automatic Continuity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.12927","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:fd9dfe03beb6318a5c1aa4193b502beec374a0c192fec4a57e67ca72eb277d4b","target":"record","created_at":"2026-06-24T14:15:50Z","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":"d0a6a858fe3502d761817057d36f90d23245036f4f1ee0894ec0095ff03bdfc4","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2024-11-19T23:36:24Z","title_canon_sha256":"311b859addce2986bacde8e1d14f4c97f4d1d2da251e14f84fd3f34baa0a1561"},"schema_version":"1.0","source":{"id":"2411.12927","kind":"arxiv","version":1}},"canonical_sha256":"1109c39fe272b9da5e13ec660d59cc4c7869845e479f94a0dd14f0eaf81bff61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1109c39fe272b9da5e13ec660d59cc4c7869845e479f94a0dd14f0eaf81bff61","first_computed_at":"2026-06-24T14:15:50.248578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T14:15:50.248578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ybIA62Y9awiC5h1yJYcE5JisBBtsTHonTyXzSqTwR2cl5OyYMZqIyEa0USrRO3Hk+oyTlpjDa3jo9hTJUpq/DQ==","signature_status":"signed_v1","signed_at":"2026-06-24T14:15:50.249106Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.12927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd9dfe03beb6318a5c1aa4193b502beec374a0c192fec4a57e67ca72eb277d4b","sha256:58c2c6e70ef9301d35a577936686cf7d2c2860a8be04e62d869a57f7c770b5d3"],"state_sha256":"7cb790d258b542de3b7f459f0abe079cbb0645eb22ddb1cfce9bfee3166b0fdd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zur+c0R8Nh9kp7YU8AF31aWiA/ZI18ruOssx0qvB5ISduJ/eddtheeBhpjcHf6acGaweTwEHL7jbTE+A5wWIBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T06:51:25.520905Z","bundle_sha256":"7e1a344561aae19e9d9ff0d52014aa055bd0ba111938caea652f8df1901b1eeb"}}