{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EWBLBCELPZ6IPKZ6J5RY4K4ZWG","short_pith_number":"pith:EWBLBCEL","schema_version":"1.0","canonical_sha256":"2582b0888b7e7c87ab3e4f638e2b99b1a63978bdb8a3cc867537443ff0bd3d27","source":{"kind":"arxiv","id":"1710.04192","version":3},"attestation_state":"computed","paper":{"title":"Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erlend Fornaess Wold, Filippo Bracci, John Erik Fornaess","submitted_at":"2017-10-11T17:36:57Z","abstract_excerpt":"We prove that for a strongly pseudoconvex domain $D\\subset\\mathbb C^n$, the infinitesimal Carath\\'eodory metric $g_C(z,v)$ and the infinitesimal Kobayashi metric $g_K(z,v)$ coincide if $z$ is sufficiently close to $bD$ and if $v$ is sufficiently close to being tangential to $bD$. Also, we show that every two close points of $D$ sufficiently close to the boundary and whose difference is almost tangential to $bD$ can be joined by a (unique up to reparameterization) complex geodesic of $D$ which is also a holomorphic retract of $D$.\n  The same continues to hold if $D$ is a worm domain, as long as"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.04192","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-11T17:36:57Z","cross_cats_sorted":[],"title_canon_sha256":"df1f6dc7b754c481746c4b729e08ace04d502b432e70ca3fb0678933b9db645d","abstract_canon_sha256":"d4baf8a71ab7eb3c330f5bda839b66a161edd392c04c3c7f7377951b80bb57e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:22.288571Z","signature_b64":"aBowRMSjudy2ms6sQ+oeb1wOfDPCQKafO76a5J3AaTKg/tUxa2uEotfm/b4Tp4Mm9XE6F+dQ62wWRhNz4vfzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2582b0888b7e7c87ab3e4f638e2b99b1a63978bdb8a3cc867537443ff0bd3d27","last_reissued_at":"2026-05-18T00:14:22.288008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:22.288008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erlend Fornaess Wold, Filippo Bracci, John Erik Fornaess","submitted_at":"2017-10-11T17:36:57Z","abstract_excerpt":"We prove that for a strongly pseudoconvex domain $D\\subset\\mathbb C^n$, the infinitesimal Carath\\'eodory metric $g_C(z,v)$ and the infinitesimal Kobayashi metric $g_K(z,v)$ coincide if $z$ is sufficiently close to $bD$ and if $v$ is sufficiently close to being tangential to $bD$. Also, we show that every two close points of $D$ sufficiently close to the boundary and whose difference is almost tangential to $bD$ can be joined by a (unique up to reparameterization) complex geodesic of $D$ which is also a holomorphic retract of $D$.\n  The same continues to hold if $D$ is a worm domain, as long as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04192","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.04192","created_at":"2026-05-18T00:14:22.288094+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.04192v3","created_at":"2026-05-18T00:14:22.288094+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04192","created_at":"2026-05-18T00:14:22.288094+00:00"},{"alias_kind":"pith_short_12","alias_value":"EWBLBCELPZ6I","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EWBLBCELPZ6IPKZ6","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EWBLBCEL","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG","json":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG.json","graph_json":"https://pith.science/api/pith-number/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/graph.json","events_json":"https://pith.science/api/pith-number/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/events.json","paper":"https://pith.science/paper/EWBLBCEL"},"agent_actions":{"view_html":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG","download_json":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG.json","view_paper":"https://pith.science/paper/EWBLBCEL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.04192&json=true","fetch_graph":"https://pith.science/api/pith-number/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/graph.json","fetch_events":"https://pith.science/api/pith-number/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/action/storage_attestation","attest_author":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/action/author_attestation","sign_citation":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/action/citation_signature","submit_replication":"https://pith.science/pith/EWBLBCELPZ6IPKZ6J5RY4K4ZWG/action/replication_record"}},"created_at":"2026-05-18T00:14:22.288094+00:00","updated_at":"2026-05-18T00:14:22.288094+00:00"}