{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:AJPR3D67ZXSCXNBCUIL75NAPNN","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":"920f2c0dfaa52f997e76f25bcc2dab3e429959af3ad6fd205d99a37589bd4a71","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-03-11T09:26:57Z","title_canon_sha256":"3bf9f84aaf0c97cfe3e5a2d6e3d663c492b02414d98f1517998f3ce20c641422"},"schema_version":"1.0","source":{"id":"0803.1541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.1541","created_at":"2026-05-18T03:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"0803.1541v1","created_at":"2026-05-18T03:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.1541","created_at":"2026-05-18T03:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"AJPR3D67ZXSC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"AJPR3D67ZXSCXNBC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"AJPR3D67","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:536aa5e21e568cf8c3e4b19549644f378f1f69e4b42ace071ffb0952c8f78c22","target":"graph","created_at":"2026-05-18T03:42:54Z","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 that every bounded strictly $J$-convex region equipped with the Kobayashi metric is hyperbolic in the sense of Gromov. We apply this result to the study of the dynamics of pseudo-holomorphic maps.","authors_text":"L\\'ea Blanc-Centi","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-03-11T09:26:57Z","title":"On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.1541","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":"sha256:102bcd4da97836a511ad46250df9208a170fd11ee3a5365dd3ef1ef11cb3542c","target":"record","created_at":"2026-05-18T03:42:54Z","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":"920f2c0dfaa52f997e76f25bcc2dab3e429959af3ad6fd205d99a37589bd4a71","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-03-11T09:26:57Z","title_canon_sha256":"3bf9f84aaf0c97cfe3e5a2d6e3d663c492b02414d98f1517998f3ce20c641422"},"schema_version":"1.0","source":{"id":"0803.1541","kind":"arxiv","version":1}},"canonical_sha256":"025f1d8fdfcde42bb422a217feb40f6b546453bc8ab1ae76e2f7247ef84f7d84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"025f1d8fdfcde42bb422a217feb40f6b546453bc8ab1ae76e2f7247ef84f7d84","first_computed_at":"2026-05-18T03:42:54.241203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:54.241203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tYOmL3Py4eHlF78mYetbVByCocvDQSLsaFF4qAiHZ6FudCSBQCS8IBIHhu8F4nhdihGFC+SlaqqUMoKJ7wkgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:54.241802Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.1541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:102bcd4da97836a511ad46250df9208a170fd11ee3a5365dd3ef1ef11cb3542c","sha256:536aa5e21e568cf8c3e4b19549644f378f1f69e4b42ace071ffb0952c8f78c22"],"state_sha256":"a468d05d8e119af193f8f83a212ccc15196e6c95dcacb1e8d7f4c4b3d6816b52"}