{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FARB5JS6MEOEGWDXJJKPAB74K3","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":"c7f45a287807361ff89dcd5e57b8620bbbcaeb25a2301f1821451a38d2cfbe64","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-11-18T09:48:53Z","title_canon_sha256":"5082ddcab5a99b2df27065824a9818a97fde9cdb46d1fe39ef25f7cf359bfe8b"},"schema_version":"1.0","source":{"id":"2411.11422","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.11422","created_at":"2026-07-05T09:36:56Z"},{"alias_kind":"arxiv_version","alias_value":"2411.11422v1","created_at":"2026-07-05T09:36:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.11422","created_at":"2026-07-05T09:36:56Z"},{"alias_kind":"pith_short_12","alias_value":"FARB5JS6MEOE","created_at":"2026-07-05T09:36:56Z"},{"alias_kind":"pith_short_16","alias_value":"FARB5JS6MEOEGWDX","created_at":"2026-07-05T09:36:56Z"},{"alias_kind":"pith_short_8","alias_value":"FARB5JS6","created_at":"2026-07-05T09:36:56Z"}],"graph_snapshots":[{"event_id":"sha256:864c68a34a0245935f735f15ac6b3fffbb00d81496ff1fb8b8c578abb112beb2","target":"graph","created_at":"2026-07-05T09:36:56Z","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/2411.11422/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a number of questions related to the $C^0$-topology of contactomorphisms and contact homeomorphisms. In particular, we show a connection between Rokhlin property of contact homeomorphisms and contact non-squeezing, we define a new conjugation-invariant norm on contactomorphisms and explore its relation to the contact fragmentation norm and we introduce a measure of the size of conjugacy classes which is related to weak conjugacy equivalence. We also show that Sandon's spectral norm is $C^0$-locally bounded and extend its definition to contact homeomorphisms.","authors_text":"Baptiste Serraille, Vuka\\v{s}in Stojisavljevi\\'c","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-11-18T09:48:53Z","title":"On certain $C^0$-aspects of contactomorphism groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.11422","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":"sha256:7ec680ca2961388f57369d73ca391be627aab1cd18dead335ed0ab410fc02d32","target":"record","created_at":"2026-07-05T09:36:56Z","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":"c7f45a287807361ff89dcd5e57b8620bbbcaeb25a2301f1821451a38d2cfbe64","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-11-18T09:48:53Z","title_canon_sha256":"5082ddcab5a99b2df27065824a9818a97fde9cdb46d1fe39ef25f7cf359bfe8b"},"schema_version":"1.0","source":{"id":"2411.11422","kind":"arxiv","version":1}},"canonical_sha256":"28221ea65e611c4358774a54f007fc56c8ffbf67f822e761a853750c7aec4a38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28221ea65e611c4358774a54f007fc56c8ffbf67f822e761a853750c7aec4a38","first_computed_at":"2026-07-05T09:36:56.246852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:56.246852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ihvliA3QqAZDwF/0HouajvTJwwkEkj+lX4JDOhPV71OPTTQphqIM/caxvVvHK3KmzXZOJba59ZAHXR2dbPtcDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:56.247302Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.11422","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ec680ca2961388f57369d73ca391be627aab1cd18dead335ed0ab410fc02d32","sha256:864c68a34a0245935f735f15ac6b3fffbb00d81496ff1fb8b8c578abb112beb2"],"state_sha256":"970c46dc3cf1a9cb24ef1828f0f1a52098cd94a996c5b2a41900b2be091f7924"}