{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DDL5GJKFSQ3XWA2VIH2SKODZNY","short_pith_number":"pith:DDL5GJKF","schema_version":"1.0","canonical_sha256":"18d7d3254594377b035541f52538796e2d1ff1ba01bd95d78ac3158dc764688f","source":{"kind":"arxiv","id":"1303.3439","version":2},"attestation_state":"computed","paper":{"title":"Bounds for Invariant Distances on Pseudoconvex Levi Corank One Domains and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"G. P. Balakumar, Kaushal Verma, Prachi Mahajan","submitted_at":"2013-03-14T13:23:17Z","abstract_excerpt":"Let $D \\subset \\mathbb{C}^n$ be a smoothly bounded pseudoconvex Levi corank one domain with defining function $r$, i.e., the Levi form $\\partial \\bar {\\partial} r$ of the boundary $\\partial D$ has at least $(n - 2)$ positive eigenvalues everywhere on $\\partial D$. The main goal of this article is to obtain a lower bound for the Carath\\'{e}odory, Kobayashi and the Bergman distance between a given pair of points $p, q \\in D$ in terms of parameters that reflect the Levi geometry of $\\partial D$ and the distance of these points to the boundary. Applications include an understanding of Fridman's in"},"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":"1303.3439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-14T13:23:17Z","cross_cats_sorted":[],"title_canon_sha256":"c48eb7bd10c16ba4b4d68d80aca7d7e31dfe7868543aaec146d778a9891abebf","abstract_canon_sha256":"fe6a8e3a0a8164fd48ae92a0b9ea7b7c3f334895c822e2150a17de40e94fec2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:29.152878Z","signature_b64":"OVhALTY1GaQb4Fe0ngPaaH1V7hSFvQihUZoAoR7CIoYxmuHibFlNa9su26Q+m6gupeHRD4PNmtrtMVjM8v2pBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18d7d3254594377b035541f52538796e2d1ff1ba01bd95d78ac3158dc764688f","last_reissued_at":"2026-05-18T03:29:29.152264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:29.152264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds for Invariant Distances on Pseudoconvex Levi Corank One Domains and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"G. P. Balakumar, Kaushal Verma, Prachi Mahajan","submitted_at":"2013-03-14T13:23:17Z","abstract_excerpt":"Let $D \\subset \\mathbb{C}^n$ be a smoothly bounded pseudoconvex Levi corank one domain with defining function $r$, i.e., the Levi form $\\partial \\bar {\\partial} r$ of the boundary $\\partial D$ has at least $(n - 2)$ positive eigenvalues everywhere on $\\partial D$. The main goal of this article is to obtain a lower bound for the Carath\\'{e}odory, Kobayashi and the Bergman distance between a given pair of points $p, q \\in D$ in terms of parameters that reflect the Levi geometry of $\\partial D$ and the distance of these points to the boundary. Applications include an understanding of Fridman's in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3439","kind":"arxiv","version":2},"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":"1303.3439","created_at":"2026-05-18T03:29:29.152377+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.3439v2","created_at":"2026-05-18T03:29:29.152377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3439","created_at":"2026-05-18T03:29:29.152377+00:00"},{"alias_kind":"pith_short_12","alias_value":"DDL5GJKFSQ3X","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"DDL5GJKFSQ3XWA2V","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"DDL5GJKF","created_at":"2026-05-18T12:27:40.988391+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/DDL5GJKFSQ3XWA2VIH2SKODZNY","json":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY.json","graph_json":"https://pith.science/api/pith-number/DDL5GJKFSQ3XWA2VIH2SKODZNY/graph.json","events_json":"https://pith.science/api/pith-number/DDL5GJKFSQ3XWA2VIH2SKODZNY/events.json","paper":"https://pith.science/paper/DDL5GJKF"},"agent_actions":{"view_html":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY","download_json":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY.json","view_paper":"https://pith.science/paper/DDL5GJKF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.3439&json=true","fetch_graph":"https://pith.science/api/pith-number/DDL5GJKFSQ3XWA2VIH2SKODZNY/graph.json","fetch_events":"https://pith.science/api/pith-number/DDL5GJKFSQ3XWA2VIH2SKODZNY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY/action/storage_attestation","attest_author":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY/action/author_attestation","sign_citation":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY/action/citation_signature","submit_replication":"https://pith.science/pith/DDL5GJKFSQ3XWA2VIH2SKODZNY/action/replication_record"}},"created_at":"2026-05-18T03:29:29.152377+00:00","updated_at":"2026-05-18T03:29:29.152377+00:00"}