{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BJXMVKDCTSKQDCXQJ37C7X5UJ4","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":"ffe9b3326bf9d07f43b571fecb1b26293a9775ea786e2650bc6a11f21448bf6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-03-29T21:40:45Z","title_canon_sha256":"b3acf9f137488db6050785ad4a5c823bfda35e635a77f0d414390b733619817b"},"schema_version":"1.0","source":{"id":"1403.7673","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7673","created_at":"2026-05-18T01:08:31Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7673v2","created_at":"2026-05-18T01:08:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7673","created_at":"2026-05-18T01:08:31Z"},{"alias_kind":"pith_short_12","alias_value":"BJXMVKDCTSKQ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BJXMVKDCTSKQDCXQ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BJXMVKDC","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:180ead108c49d52714c3d047fcbf5cbfa6d3b23ae9b4542c57094951455ae7b6","target":"graph","created_at":"2026-05-18T01:08:31Z","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"},"paper":{"abstract_excerpt":"We prove the non-hyperbolicity of the Kobayashi distance for $\\mathcal{C}^{1,1}$-smooth convex domains in $\\mathbb{C}^{2}$ which contain an analytic disc in the boundary or have a point of infinite type with rotation symmetry. Moreover, examples of smooth, non pseudoconvex, Gromov hyperbolic domains are given; we prove that the symmetrized polydisc and the tetrablock are not Gromov hyperbolic and write down some results about Gromov hyperbolicity of product spaces.","authors_text":"Maria Trybula, Nikolai Nikolov, Pascal J. Thomas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-03-29T21:40:45Z","title":"Gromov (non)hyperbolicity of certain domains in $\\mathbb{C}^{2}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7673","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":"sha256:245a21a46013095de242ee34bcd6fa0c264273173a6f1c3300446913c7b2522c","target":"record","created_at":"2026-05-18T01:08:31Z","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":"ffe9b3326bf9d07f43b571fecb1b26293a9775ea786e2650bc6a11f21448bf6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-03-29T21:40:45Z","title_canon_sha256":"b3acf9f137488db6050785ad4a5c823bfda35e635a77f0d414390b733619817b"},"schema_version":"1.0","source":{"id":"1403.7673","kind":"arxiv","version":2}},"canonical_sha256":"0a6ecaa8629c95018af04efe2fdfb44f265921f1f9af5694de5ee01be5e3e67c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a6ecaa8629c95018af04efe2fdfb44f265921f1f9af5694de5ee01be5e3e67c","first_computed_at":"2026-05-18T01:08:31.128906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:31.128906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zhGLY+/KkQTFjJUAQtZuE40t56ClQUtlIjHJ7TQfNgEvP14EnaNb6zv5h7qihLlLjGUdA+0tpZ7AQAtFBxfKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:31.129435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7673","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:245a21a46013095de242ee34bcd6fa0c264273173a6f1c3300446913c7b2522c","sha256:180ead108c49d52714c3d047fcbf5cbfa6d3b23ae9b4542c57094951455ae7b6"],"state_sha256":"db0effef490999d4db5a2b4f380a55f554d3fea6a69d3cbc40f7fd69ca97d5c3"}