{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YEUIUHYMCHK37GKQIMB5GWQV7N","short_pith_number":"pith:YEUIUHYM","schema_version":"1.0","canonical_sha256":"c1288a1f0c11d5bf99504303d35a15fb40f46b7251f247bde7f366ecd4956d63","source":{"kind":"arxiv","id":"1111.3388","version":1},"attestation_state":"computed","paper":{"title":"On the Kobayashi hyperbolicity of certain tube domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Alan Huckleberry, Alexander Isaev","submitted_at":"2011-11-14T23:06:10Z","abstract_excerpt":"In an earlier article the second author introduced three families of tube domains in ${\\mathbf C}^2$ with holomorphic automorphism group isomorphic to ${\\mathbf R}\\ltimes{\\mathbf R}^2$ and envelope of holomorphy equal to ${\\mathbf C}^2$. In the present paper we show that every domain in each of these families is Kobayashi-hyperbolic."},"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":"1111.3388","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-11-14T23:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"44b47c9967e70c245999075b759716780ee4939bf31a79dd23073b5275a8204c","abstract_canon_sha256":"8eb435eb977b762f8e54403731adf2fdd31082e91a95ace3e5fad7e22cfad1d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:14.186504Z","signature_b64":"hwfLDzkfVXaQYolSPhk/XuKkSifORiIB7utKPDLR9NmX+iImq8ODUd6tp0tLjaLcuHddWXtedCnrRGAPstYUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1288a1f0c11d5bf99504303d35a15fb40f46b7251f247bde7f366ecd4956d63","last_reissued_at":"2026-05-18T04:08:14.185943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:14.185943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Kobayashi hyperbolicity of certain tube domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Alan Huckleberry, Alexander Isaev","submitted_at":"2011-11-14T23:06:10Z","abstract_excerpt":"In an earlier article the second author introduced three families of tube domains in ${\\mathbf C}^2$ with holomorphic automorphism group isomorphic to ${\\mathbf R}\\ltimes{\\mathbf R}^2$ and envelope of holomorphy equal to ${\\mathbf C}^2$. In the present paper we show that every domain in each of these families is Kobayashi-hyperbolic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3388","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":"1111.3388","created_at":"2026-05-18T04:08:14.186017+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.3388v1","created_at":"2026-05-18T04:08:14.186017+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3388","created_at":"2026-05-18T04:08:14.186017+00:00"},{"alias_kind":"pith_short_12","alias_value":"YEUIUHYMCHK3","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YEUIUHYMCHK37GKQ","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YEUIUHYM","created_at":"2026-05-18T12:26:47.523578+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/YEUIUHYMCHK37GKQIMB5GWQV7N","json":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N.json","graph_json":"https://pith.science/api/pith-number/YEUIUHYMCHK37GKQIMB5GWQV7N/graph.json","events_json":"https://pith.science/api/pith-number/YEUIUHYMCHK37GKQIMB5GWQV7N/events.json","paper":"https://pith.science/paper/YEUIUHYM"},"agent_actions":{"view_html":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N","download_json":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N.json","view_paper":"https://pith.science/paper/YEUIUHYM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.3388&json=true","fetch_graph":"https://pith.science/api/pith-number/YEUIUHYMCHK37GKQIMB5GWQV7N/graph.json","fetch_events":"https://pith.science/api/pith-number/YEUIUHYMCHK37GKQIMB5GWQV7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N/action/storage_attestation","attest_author":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N/action/author_attestation","sign_citation":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N/action/citation_signature","submit_replication":"https://pith.science/pith/YEUIUHYMCHK37GKQIMB5GWQV7N/action/replication_record"}},"created_at":"2026-05-18T04:08:14.186017+00:00","updated_at":"2026-05-18T04:08:14.186017+00:00"}