{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:KNNL66HJBQDN5VHUIHHHU2OFT2","short_pith_number":"pith:KNNL66HJ","schema_version":"1.0","canonical_sha256":"535abf78e90c06ded4f441ce7a69c59e8906e5bf122e1365cbdb2c67ed594489","source":{"kind":"arxiv","id":"math/9612201","version":1},"attestation_state":"computed","paper":{"title":"Domains with Non-Compact Automorphism Group: A Survey","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. V. Isaev, S. G. Krantz","submitted_at":"1997-12-04T16:13:47Z","abstract_excerpt":"We survey results arising from the study of domains in C^n with non-compact automorphism group.  Beginning with a well-known characterization of the unit ball, we develop ideas toward a consideration of weakly pseudoconvex (and even non-pseudoconvex) domains with particular emphasis on characterizations of (i) smoothly bounded domains with non-compact automorphism group and (ii) the Levi geometry of boundary orbit accumulation points.\n  Particular attention will be paid to results derived in the past ten years."},"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":"math/9612201","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"1997-12-04T16:13:47Z","cross_cats_sorted":[],"title_canon_sha256":"cfe22199232b62d5850437a4d22582f3ffcfef0b9dd12a8b4e70ec4937d2be57","abstract_canon_sha256":"862bb7395e83ed247864a2f448a5a1c14b0648aec0a67a8c1937d0a1d6cfce5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:46.861151Z","signature_b64":"xl4S+BPgxriZzPxb/ZtmCmVf3PlxDVBH8Q4CYJZstJmkALsWSlMXN3EBMsWLMI2hcsTxd5TaavQWJ99x+4HnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"535abf78e90c06ded4f441ce7a69c59e8906e5bf122e1365cbdb2c67ed594489","last_reissued_at":"2026-05-18T01:05:46.860713Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:46.860713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Domains with Non-Compact Automorphism Group: A Survey","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. V. Isaev, S. G. Krantz","submitted_at":"1997-12-04T16:13:47Z","abstract_excerpt":"We survey results arising from the study of domains in C^n with non-compact automorphism group.  Beginning with a well-known characterization of the unit ball, we develop ideas toward a consideration of weakly pseudoconvex (and even non-pseudoconvex) domains with particular emphasis on characterizations of (i) smoothly bounded domains with non-compact automorphism group and (ii) the Levi geometry of boundary orbit accumulation points.\n  Particular attention will be paid to results derived in the past ten years."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9612201","kind":"arxiv","version":1},"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":"math/9612201","created_at":"2026-05-18T01:05:46.860779+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9612201v1","created_at":"2026-05-18T01:05:46.860779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9612201","created_at":"2026-05-18T01:05:46.860779+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNNL66HJBQDN","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNNL66HJBQDN5VHU","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNNL66HJ","created_at":"2026-05-18T12:25:48.327863+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/KNNL66HJBQDN5VHUIHHHU2OFT2","json":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2.json","graph_json":"https://pith.science/api/pith-number/KNNL66HJBQDN5VHUIHHHU2OFT2/graph.json","events_json":"https://pith.science/api/pith-number/KNNL66HJBQDN5VHUIHHHU2OFT2/events.json","paper":"https://pith.science/paper/KNNL66HJ"},"agent_actions":{"view_html":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2","download_json":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2.json","view_paper":"https://pith.science/paper/KNNL66HJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9612201&json=true","fetch_graph":"https://pith.science/api/pith-number/KNNL66HJBQDN5VHUIHHHU2OFT2/graph.json","fetch_events":"https://pith.science/api/pith-number/KNNL66HJBQDN5VHUIHHHU2OFT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2/action/storage_attestation","attest_author":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2/action/author_attestation","sign_citation":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2/action/citation_signature","submit_replication":"https://pith.science/pith/KNNL66HJBQDN5VHUIHHHU2OFT2/action/replication_record"}},"created_at":"2026-05-18T01:05:46.860779+00:00","updated_at":"2026-05-18T01:05:46.860779+00:00"}