{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AUEZZINCEGS3JLCNKZV77KLZQ7","short_pith_number":"pith:AUEZZINC","schema_version":"1.0","canonical_sha256":"05099ca1a221a5b4ac4d566bffa97987f892adf8b85df86f70aa805befcf2763","source":{"kind":"arxiv","id":"1810.12724","version":2},"attestation_state":"computed","paper":{"title":"Fridman's invariant, squeezing functions, and exhausting domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Fusheng Deng, Xujun Zhang","submitted_at":"2018-10-30T13:34:07Z","abstract_excerpt":"We show that if a bounded domain $\\Omega$ is exhausted by a bounded strictly pseudoconvex domain $D$ with $C^2$ boundary, then $\\Omega$ is holomorphically equivalent to $D$ or the unit ball, and show that a bounded domain has to be holomorphically equivalent to the unit ball if its Fridman's invariant has certain growth condition near the boundary."},"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":"1810.12724","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-30T13:34:07Z","cross_cats_sorted":[],"title_canon_sha256":"36662516be6db3bd942e674bea9ce84653451a11aa71537d7a74059ed3fbd07f","abstract_canon_sha256":"e1568c3a2574cd27a3747009c307cd30a021aba44d152b98eb471fc59b38c9e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:37.366774Z","signature_b64":"wKV3Jh8J543lG/kWSwT31DkpGiWPDGegEwDIsM6vOvq0RJKPmKP7kZYT7GDsYgiYwTpBwaGYnP0o//8tn17ABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05099ca1a221a5b4ac4d566bffa97987f892adf8b85df86f70aa805befcf2763","last_reissued_at":"2026-05-18T00:01:37.366108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:37.366108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fridman's invariant, squeezing functions, and exhausting domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Fusheng Deng, Xujun Zhang","submitted_at":"2018-10-30T13:34:07Z","abstract_excerpt":"We show that if a bounded domain $\\Omega$ is exhausted by a bounded strictly pseudoconvex domain $D$ with $C^2$ boundary, then $\\Omega$ is holomorphically equivalent to $D$ or the unit ball, and show that a bounded domain has to be holomorphically equivalent to the unit ball if its Fridman's invariant has certain growth condition near the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12724","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":"1810.12724","created_at":"2026-05-18T00:01:37.366206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.12724v2","created_at":"2026-05-18T00:01:37.366206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12724","created_at":"2026-05-18T00:01:37.366206+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUEZZINCEGS3","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUEZZINCEGS3JLCN","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUEZZINC","created_at":"2026-05-18T12:32:13.499390+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/AUEZZINCEGS3JLCNKZV77KLZQ7","json":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7.json","graph_json":"https://pith.science/api/pith-number/AUEZZINCEGS3JLCNKZV77KLZQ7/graph.json","events_json":"https://pith.science/api/pith-number/AUEZZINCEGS3JLCNKZV77KLZQ7/events.json","paper":"https://pith.science/paper/AUEZZINC"},"agent_actions":{"view_html":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7","download_json":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7.json","view_paper":"https://pith.science/paper/AUEZZINC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.12724&json=true","fetch_graph":"https://pith.science/api/pith-number/AUEZZINCEGS3JLCNKZV77KLZQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/AUEZZINCEGS3JLCNKZV77KLZQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7/action/storage_attestation","attest_author":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7/action/author_attestation","sign_citation":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7/action/citation_signature","submit_replication":"https://pith.science/pith/AUEZZINCEGS3JLCNKZV77KLZQ7/action/replication_record"}},"created_at":"2026-05-18T00:01:37.366206+00:00","updated_at":"2026-05-18T00:01:37.366206+00:00"}