{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:NBAJTZUSINEFUOFAITFR7XMQB3","short_pith_number":"pith:NBAJTZUS","schema_version":"1.0","canonical_sha256":"684099e69243485a38a044cb1fdd900ec13050147ab3d3500cbf20f5479f26d9","source":{"kind":"arxiv","id":"1108.2286","version":1},"attestation_state":"computed","paper":{"title":"Solving $\\bar\\partial_b$ on hyperbolic laminations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erlend Fornaess Wold, John Erik Fornaess","submitted_at":"2011-08-10T20:47:27Z","abstract_excerpt":"Let $X$ denote a compact set which is laminated by Riemann surfaces. We assume that $X$ carries a positive CR line bundle $ L\\rightarrow X$. The main result of the paper is that there exists a positive integer $s$ so that if $v$ is any continuous $(0,1)$ form with coefficients in $L^{\\otimes s}$ there exists a continuous section $u$ of $L^{\\otimes s}$ solving the equation $\\bar\\partial_b u=v$."},"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":"1108.2286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-08-10T20:47:27Z","cross_cats_sorted":[],"title_canon_sha256":"d7de92fe793f3e2fc0d08fb105308ae97d93f521360bc5bef5535e1c6b8a0588","abstract_canon_sha256":"e959b3bbe40fb4033e9fd0d14579d69b14226ff1f5ecf26166ccb651b34877b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:38.250946Z","signature_b64":"VwUEnoce0mnz3FDvZzfJdOOEwC1jHmZ83qNSzkCf8i5xqRG0TqlvyVjkRtCrL6zHdmQM5Y16yxofsHG6ClXgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"684099e69243485a38a044cb1fdd900ec13050147ab3d3500cbf20f5479f26d9","last_reissued_at":"2026-05-18T04:15:38.250158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:38.250158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solving $\\bar\\partial_b$ on hyperbolic laminations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erlend Fornaess Wold, John Erik Fornaess","submitted_at":"2011-08-10T20:47:27Z","abstract_excerpt":"Let $X$ denote a compact set which is laminated by Riemann surfaces. We assume that $X$ carries a positive CR line bundle $ L\\rightarrow X$. The main result of the paper is that there exists a positive integer $s$ so that if $v$ is any continuous $(0,1)$ form with coefficients in $L^{\\otimes s}$ there exists a continuous section $u$ of $L^{\\otimes s}$ solving the equation $\\bar\\partial_b u=v$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2286","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":"1108.2286","created_at":"2026-05-18T04:15:38.250275+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.2286v1","created_at":"2026-05-18T04:15:38.250275+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2286","created_at":"2026-05-18T04:15:38.250275+00:00"},{"alias_kind":"pith_short_12","alias_value":"NBAJTZUSINEF","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"NBAJTZUSINEFUOFA","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"NBAJTZUS","created_at":"2026-05-18T12:26:37.096874+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/NBAJTZUSINEFUOFAITFR7XMQB3","json":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3.json","graph_json":"https://pith.science/api/pith-number/NBAJTZUSINEFUOFAITFR7XMQB3/graph.json","events_json":"https://pith.science/api/pith-number/NBAJTZUSINEFUOFAITFR7XMQB3/events.json","paper":"https://pith.science/paper/NBAJTZUS"},"agent_actions":{"view_html":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3","download_json":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3.json","view_paper":"https://pith.science/paper/NBAJTZUS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.2286&json=true","fetch_graph":"https://pith.science/api/pith-number/NBAJTZUSINEFUOFAITFR7XMQB3/graph.json","fetch_events":"https://pith.science/api/pith-number/NBAJTZUSINEFUOFAITFR7XMQB3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3/action/storage_attestation","attest_author":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3/action/author_attestation","sign_citation":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3/action/citation_signature","submit_replication":"https://pith.science/pith/NBAJTZUSINEFUOFAITFR7XMQB3/action/replication_record"}},"created_at":"2026-05-18T04:15:38.250275+00:00","updated_at":"2026-05-18T04:15:38.250275+00:00"}