{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BFLVZ6BNFBNN2DPHRVSLA3VJP6","short_pith_number":"pith:BFLVZ6BN","schema_version":"1.0","canonical_sha256":"09575cf82d285add0de78d64b06ea97f8c5900bc3bbc34afe22913968ea09092","source":{"kind":"arxiv","id":"1306.6759","version":2},"attestation_state":"computed","paper":{"title":"Embedding univalent functions in filtering Loewner chains in higher dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erlend Forn{\\ae}ss Wold, Filippo Bracci, Leandro Arosio","submitted_at":"2013-06-28T09:08:16Z","abstract_excerpt":"We discuss the problem of embedding univalent functions into Loewner chains in higher dimension. In particular, we prove that a normalized univalent map of the ball in $\\C^n$ whose image is a smooth strongly pseudoconvex domain is embeddable into a normalized Loewner chain (satisfying also some extra regularity properties) if and only if the closure of the image is polynomially convex."},"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":"1306.6759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-06-28T09:08:16Z","cross_cats_sorted":[],"title_canon_sha256":"db75b099e2c409aa366c693834af4dfb4afa9b9c9f54b676d7e079a9283dd1d2","abstract_canon_sha256":"3d33411691893958c7307659e195d937e3608ba422f1a612a62c9fbf9bc8285a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:32.606806Z","signature_b64":"zOpcol3IP9Vvbt9ySUYDqySD3FoEJrFzVqYha/bYG1snO0AOOf2LwPbyic5fjyGC0WhMMtjqh/KF1yOc/tp2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09575cf82d285add0de78d64b06ea97f8c5900bc3bbc34afe22913968ea09092","last_reissued_at":"2026-05-18T01:09:32.606355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:32.606355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embedding univalent functions in filtering Loewner chains in higher dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erlend Forn{\\ae}ss Wold, Filippo Bracci, Leandro Arosio","submitted_at":"2013-06-28T09:08:16Z","abstract_excerpt":"We discuss the problem of embedding univalent functions into Loewner chains in higher dimension. In particular, we prove that a normalized univalent map of the ball in $\\C^n$ whose image is a smooth strongly pseudoconvex domain is embeddable into a normalized Loewner chain (satisfying also some extra regularity properties) if and only if the closure of the image is polynomially convex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6759","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":"1306.6759","created_at":"2026-05-18T01:09:32.606421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.6759v2","created_at":"2026-05-18T01:09:32.606421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6759","created_at":"2026-05-18T01:09:32.606421+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFLVZ6BNFBNN","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFLVZ6BNFBNN2DPH","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFLVZ6BN","created_at":"2026-05-18T12:27:38.830355+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/BFLVZ6BNFBNN2DPHRVSLA3VJP6","json":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6.json","graph_json":"https://pith.science/api/pith-number/BFLVZ6BNFBNN2DPHRVSLA3VJP6/graph.json","events_json":"https://pith.science/api/pith-number/BFLVZ6BNFBNN2DPHRVSLA3VJP6/events.json","paper":"https://pith.science/paper/BFLVZ6BN"},"agent_actions":{"view_html":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6","download_json":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6.json","view_paper":"https://pith.science/paper/BFLVZ6BN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.6759&json=true","fetch_graph":"https://pith.science/api/pith-number/BFLVZ6BNFBNN2DPHRVSLA3VJP6/graph.json","fetch_events":"https://pith.science/api/pith-number/BFLVZ6BNFBNN2DPHRVSLA3VJP6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6/action/storage_attestation","attest_author":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6/action/author_attestation","sign_citation":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6/action/citation_signature","submit_replication":"https://pith.science/pith/BFLVZ6BNFBNN2DPHRVSLA3VJP6/action/replication_record"}},"created_at":"2026-05-18T01:09:32.606421+00:00","updated_at":"2026-05-18T01:09:32.606421+00:00"}