{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WZELEUNBPS6KXHCOXKNMAHYS2R","short_pith_number":"pith:WZELEUNB","canonical_record":{"source":{"id":"1705.01415","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-03T13:28:58Z","cross_cats_sorted":[],"title_canon_sha256":"27ef5b84f616c73d1ebac1d65826955c8a94b806ec9be56dd9c54b9d5594e97a","abstract_canon_sha256":"59565a7d1f657ff613d06253b447153a03ec8a721cc129b73ada4f23aface734"},"schema_version":"1.0"},"canonical_sha256":"b648b251a17cbcab9c4eba9ac01f12d45279ece3a04a8cb14c35ab797456a2b8","source":{"kind":"arxiv","id":"1705.01415","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01415","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01415v2","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01415","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"WZELEUNBPS6K","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WZELEUNBPS6KXHCO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WZELEUNB","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WZELEUNBPS6KXHCOXKNMAHYS2R","target":"record","payload":{"canonical_record":{"source":{"id":"1705.01415","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-03T13:28:58Z","cross_cats_sorted":[],"title_canon_sha256":"27ef5b84f616c73d1ebac1d65826955c8a94b806ec9be56dd9c54b9d5594e97a","abstract_canon_sha256":"59565a7d1f657ff613d06253b447153a03ec8a721cc129b73ada4f23aface734"},"schema_version":"1.0"},"canonical_sha256":"b648b251a17cbcab9c4eba9ac01f12d45279ece3a04a8cb14c35ab797456a2b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:47.463779Z","signature_b64":"i4Dhj36uqsFVjfnfNRMyjrb1UTcdOeIuZiMiZiMRzGgQJQK+0c3B4dBFVzEDoAPlCs5FXXUK/F4v6kIxQBjUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b648b251a17cbcab9c4eba9ac01f12d45279ece3a04a8cb14c35ab797456a2b8","last_reissued_at":"2026-05-18T00:37:47.463080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:47.463080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.01415","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iM1a63O+Rm//iP82CDnR3IvYvu8YMuPYC1rjp5FTqD9zB+k46ow6zIrLcOSiPgMx8ja9tCBBREJuNSwlOY14Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:37:09.508794Z"},"content_sha256":"a883c4cff183a4d92c2562f140bd964bce0079f03dadcdf3ac56b17c0853d4bf","schema_version":"1.0","event_id":"sha256:a883c4cff183a4d92c2562f140bd964bce0079f03dadcdf3ac56b17c0853d4bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WZELEUNBPS6KXHCOXKNMAHYS2R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On noncompactness of the $\\overline\\partial$-Neumann problem on pseudoconvex domains in $\\mathbb{C}^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Gian Maria Dall'Ara","submitted_at":"2017-05-03T13:28:58Z","abstract_excerpt":"In this paper we deal with the following question: is it true that any bounded smooth pseudoconvex domain in $\\mathbb{C}^n$ whose boundary contains a $q$-dimensional complex manifold $M$ necessarily has a noncompact $\\overline\\partial$-Neumann operator $N_q$ ($1\\leq q\\leq n-1$)?\n  We prove that a smooth bounded pseudoconvex domain $\\Omega\\subseteq\\mathbb{C}^3$ with a one-dimensional complex manifold $M$ in its boundary has a noncompact Neumann operator on $(0,1)$-forms, under the additional assumption that $b\\Omega$ has finite regular D'Angelo $2$-type at a point of $M$, improving previous res"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01415","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yvMVdq/3M6L9bdw9shR2D6VxIHheLYSuhLEqS2wb2Zrvu9/agkv6Uv0ZVrPq7BJNuKMv/lDYXwXaLUTftYqLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:37:09.509174Z"},"content_sha256":"a9d600206e2daef127664a878f7fe5e09993d085f1136c0734b6d55030a0e3c4","schema_version":"1.0","event_id":"sha256:a9d600206e2daef127664a878f7fe5e09993d085f1136c0734b6d55030a0e3c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZELEUNBPS6KXHCOXKNMAHYS2R/bundle.json","state_url":"https://pith.science/pith/WZELEUNBPS6KXHCOXKNMAHYS2R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZELEUNBPS6KXHCOXKNMAHYS2R/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T02:37:09Z","links":{"resolver":"https://pith.science/pith/WZELEUNBPS6KXHCOXKNMAHYS2R","bundle":"https://pith.science/pith/WZELEUNBPS6KXHCOXKNMAHYS2R/bundle.json","state":"https://pith.science/pith/WZELEUNBPS6KXHCOXKNMAHYS2R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZELEUNBPS6KXHCOXKNMAHYS2R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WZELEUNBPS6KXHCOXKNMAHYS2R","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59565a7d1f657ff613d06253b447153a03ec8a721cc129b73ada4f23aface734","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-03T13:28:58Z","title_canon_sha256":"27ef5b84f616c73d1ebac1d65826955c8a94b806ec9be56dd9c54b9d5594e97a"},"schema_version":"1.0","source":{"id":"1705.01415","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01415","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01415v2","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01415","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"WZELEUNBPS6K","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WZELEUNBPS6KXHCO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WZELEUNB","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:a9d600206e2daef127664a878f7fe5e09993d085f1136c0734b6d55030a0e3c4","target":"graph","created_at":"2026-05-18T00:37:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we deal with the following question: is it true that any bounded smooth pseudoconvex domain in $\\mathbb{C}^n$ whose boundary contains a $q$-dimensional complex manifold $M$ necessarily has a noncompact $\\overline\\partial$-Neumann operator $N_q$ ($1\\leq q\\leq n-1$)?\n  We prove that a smooth bounded pseudoconvex domain $\\Omega\\subseteq\\mathbb{C}^3$ with a one-dimensional complex manifold $M$ in its boundary has a noncompact Neumann operator on $(0,1)$-forms, under the additional assumption that $b\\Omega$ has finite regular D'Angelo $2$-type at a point of $M$, improving previous res","authors_text":"Gian Maria Dall'Ara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-03T13:28:58Z","title":"On noncompactness of the $\\overline\\partial$-Neumann problem on pseudoconvex domains in $\\mathbb{C}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01415","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a883c4cff183a4d92c2562f140bd964bce0079f03dadcdf3ac56b17c0853d4bf","target":"record","created_at":"2026-05-18T00:37:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59565a7d1f657ff613d06253b447153a03ec8a721cc129b73ada4f23aface734","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-03T13:28:58Z","title_canon_sha256":"27ef5b84f616c73d1ebac1d65826955c8a94b806ec9be56dd9c54b9d5594e97a"},"schema_version":"1.0","source":{"id":"1705.01415","kind":"arxiv","version":2}},"canonical_sha256":"b648b251a17cbcab9c4eba9ac01f12d45279ece3a04a8cb14c35ab797456a2b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b648b251a17cbcab9c4eba9ac01f12d45279ece3a04a8cb14c35ab797456a2b8","first_computed_at":"2026-05-18T00:37:47.463080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:47.463080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i4Dhj36uqsFVjfnfNRMyjrb1UTcdOeIuZiMiZiMRzGgQJQK+0c3B4dBFVzEDoAPlCs5FXXUK/F4v6kIxQBjUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:47.463779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01415","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a883c4cff183a4d92c2562f140bd964bce0079f03dadcdf3ac56b17c0853d4bf","sha256:a9d600206e2daef127664a878f7fe5e09993d085f1136c0734b6d55030a0e3c4"],"state_sha256":"ebe573941c3d1055fd7af9ec6b7a2b3455743de02df9f87e7cd02ba71b26234d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4YukOyO1P5/Zu6BJtIFct2gedGxGwkboHkM4uP9T1Qkcxu66wa9fJUjFmu258vTjRAwFHs9fr0g/x/hhadiMDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:37:09.511125Z","bundle_sha256":"c978aab9bd4267eb2c2a396a3a51adf0125e5494f98f1f6de1e34ece732f3afd"}}