{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GA27PKREPVNWFYI2DL7QCYICJS","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":"78d80d5468bedca3b92d485ef4749ee5283c838ea2699b5b3ca9260747a7af96","cross_cats_sorted":["math.DS","math.GT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2022-08-09T15:51:04Z","title_canon_sha256":"dc83e1774fba02fdc5d6bb1b6af2592e8b41d3b7a25ebe6e52dee3cfe0e3ecb0"},"schema_version":"1.0","source":{"id":"2208.04861","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.04861","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"arxiv_version","alias_value":"2208.04861v5","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.04861","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"pith_short_12","alias_value":"GA27PKREPVNW","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"pith_short_16","alias_value":"GA27PKREPVNWFYI2","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"pith_short_8","alias_value":"GA27PKRE","created_at":"2026-07-05T09:59:40Z"}],"graph_snapshots":[{"event_id":"sha256:6e478fcf3b8ef1f1fd2bdc3f26dea474712d379c36c35e185350c2b08dbddefc","target":"graph","created_at":"2026-07-05T09:59:40Z","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/2208.04861/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper develops a theory of conformal density at infinity for groups with contracting elements. We start by introducing a class of convergence boundary encompassing many known hyperbolic-like boundaries, on which a detailed study of conical points and Myrberg points is carried out. The basic theory of conformal density is then established on the convergence boundary, including the Sullivan shadow lemma and a Hopf--Tsuji--Sullivan dichotomy. This gives a unification of the theory of conformal density on the Gromov and Floyd boundary for (relatively) hyperbolic groups, the visual boundary fo","authors_text":"Wenyuan Yang","cross_cats":["math.DS","math.GT","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2022-08-09T15:51:04Z","title":"Conformal dynamics at infinity for groups with contracting elements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.04861","kind":"arxiv","version":5},"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:c4af4a637a01310ecb50735062a5f20f4c94bb7aaeba5f2923a0e2778078612a","target":"record","created_at":"2026-07-05T09:59:40Z","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":"78d80d5468bedca3b92d485ef4749ee5283c838ea2699b5b3ca9260747a7af96","cross_cats_sorted":["math.DS","math.GT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2022-08-09T15:51:04Z","title_canon_sha256":"dc83e1774fba02fdc5d6bb1b6af2592e8b41d3b7a25ebe6e52dee3cfe0e3ecb0"},"schema_version":"1.0","source":{"id":"2208.04861","kind":"arxiv","version":5}},"canonical_sha256":"3035f7aa247d5b62e11a1aff0161024c84b8f4cb1c0c358b8ef4206512004ca5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3035f7aa247d5b62e11a1aff0161024c84b8f4cb1c0c358b8ef4206512004ca5","first_computed_at":"2026-07-05T09:59:40.567635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:40.567635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fLBWXaaxvzLbE9h5hCEWxM1ZMKpVqNe/3S/NTnzKO66Pb/Oz0PeKbFipOJvl1s+Gh/MaQskbBYNpkWaBKeGJCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:40.568074Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.04861","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4af4a637a01310ecb50735062a5f20f4c94bb7aaeba5f2923a0e2778078612a","sha256:6e478fcf3b8ef1f1fd2bdc3f26dea474712d379c36c35e185350c2b08dbddefc"],"state_sha256":"a37ad27c973d2e8f8f3a4db5ac0e3d087be4c28f79a0804c0f68ee132855e2b2"}