{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:F4RCQ56N2K4VZQBNZ4BBQBTMDA","short_pith_number":"pith:F4RCQ56N","schema_version":"1.0","canonical_sha256":"2f222877cdd2b95cc02dcf0218066c1800d1fdb057a7ec9b7bd4ca43a70f704a","source":{"kind":"arxiv","id":"1106.5167","version":4},"attestation_state":"computed","paper":{"title":"A Class of Domains with noncompact $\\bar{\\partial}$-Neumann operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Debraj Chakrabarti","submitted_at":"2011-06-25T20:25:26Z","abstract_excerpt":"The $\\bar{\\partial}$-Neumann operator (the inverse of the complex Laplacian) is shown to be noncompact on certain domains in complex Euclidean space. These domains are either higher-dimensional analogs of the Hartogs triangle, or have such a generalized Hartogs triangle imbedded appropriately in them."},"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":"1106.5167","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-25T20:25:26Z","cross_cats_sorted":[],"title_canon_sha256":"03032ad9b8de5f384b9de9fe238f8c111fe5056559d37b7e004890e0b40525af","abstract_canon_sha256":"cc0b34f08c921aa9800b1abc0201c9fb8cc3b811e331f928fd3302edc85cf307"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:07.237696Z","signature_b64":"V+5CZaJ8DuzcywBAJ80xUA7O1W8Zlds5Di2StGxFJIro0LBqWJf++TXdVmz2WCEBUvpxWTGGwCyF5gzv1ueqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f222877cdd2b95cc02dcf0218066c1800d1fdb057a7ec9b7bd4ca43a70f704a","last_reissued_at":"2026-05-18T04:11:07.237216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:07.237216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Class of Domains with noncompact $\\bar{\\partial}$-Neumann operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Debraj Chakrabarti","submitted_at":"2011-06-25T20:25:26Z","abstract_excerpt":"The $\\bar{\\partial}$-Neumann operator (the inverse of the complex Laplacian) is shown to be noncompact on certain domains in complex Euclidean space. These domains are either higher-dimensional analogs of the Hartogs triangle, or have such a generalized Hartogs triangle imbedded appropriately in them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5167","kind":"arxiv","version":4},"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":"1106.5167","created_at":"2026-05-18T04:11:07.237284+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.5167v4","created_at":"2026-05-18T04:11:07.237284+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5167","created_at":"2026-05-18T04:11:07.237284+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4RCQ56N2K4V","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4RCQ56N2K4VZQBN","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4RCQ56N","created_at":"2026-05-18T12:26:28.662955+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/F4RCQ56N2K4VZQBNZ4BBQBTMDA","json":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA.json","graph_json":"https://pith.science/api/pith-number/F4RCQ56N2K4VZQBNZ4BBQBTMDA/graph.json","events_json":"https://pith.science/api/pith-number/F4RCQ56N2K4VZQBNZ4BBQBTMDA/events.json","paper":"https://pith.science/paper/F4RCQ56N"},"agent_actions":{"view_html":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA","download_json":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA.json","view_paper":"https://pith.science/paper/F4RCQ56N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.5167&json=true","fetch_graph":"https://pith.science/api/pith-number/F4RCQ56N2K4VZQBNZ4BBQBTMDA/graph.json","fetch_events":"https://pith.science/api/pith-number/F4RCQ56N2K4VZQBNZ4BBQBTMDA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA/action/storage_attestation","attest_author":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA/action/author_attestation","sign_citation":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA/action/citation_signature","submit_replication":"https://pith.science/pith/F4RCQ56N2K4VZQBNZ4BBQBTMDA/action/replication_record"}},"created_at":"2026-05-18T04:11:07.237284+00:00","updated_at":"2026-05-18T04:11:07.237284+00:00"}