{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BKLZXUPAU6EKET5XYCVIIIDGSK","short_pith_number":"pith:BKLZXUPA","schema_version":"1.0","canonical_sha256":"0a979bd1e0a788a24fb7c0aa84206692af123bcb44a077ad9073ab9adbe29047","source":{"kind":"arxiv","id":"1711.03281","version":1},"attestation_state":"computed","paper":{"title":"Line bundles defined by the Schwarz function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bj\\\"orn Gustafsson, Mihai Putinar","submitted_at":"2017-11-09T08:02:20Z","abstract_excerpt":"Cauchy and exponential transforms are characterized, and constructed, as canonical holomorphic sections of certain line bundles on the Riemann sphere defined in terms of the Schwarz function. A well known natural connection between Schwarz reflection and line bundles defined on the Schottky double of a planar domain is briefly discussed in the same context."},"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":"1711.03281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-11-09T08:02:20Z","cross_cats_sorted":[],"title_canon_sha256":"330f52e41f479581e272f715b997970f512982711ed7f4cc75a6eecd74afd699","abstract_canon_sha256":"5ed84a16699c7c775e8728f3a75486004c0b99a596ea1d82a11245468f49801f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:56.671757Z","signature_b64":"Bk7nrI6NVxaVgTV1fMt8OIaPZNxfI9n6OhBbIEWuzGKF0e1lhMwpeZl2AmZn1SNVFzXkku1TeTsdlmQf3JpJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a979bd1e0a788a24fb7c0aa84206692af123bcb44a077ad9073ab9adbe29047","last_reissued_at":"2026-05-18T00:30:56.671179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:56.671179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Line bundles defined by the Schwarz function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bj\\\"orn Gustafsson, Mihai Putinar","submitted_at":"2017-11-09T08:02:20Z","abstract_excerpt":"Cauchy and exponential transforms are characterized, and constructed, as canonical holomorphic sections of certain line bundles on the Riemann sphere defined in terms of the Schwarz function. A well known natural connection between Schwarz reflection and line bundles defined on the Schottky double of a planar domain is briefly discussed in the same context."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03281","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":"1711.03281","created_at":"2026-05-18T00:30:56.671265+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.03281v1","created_at":"2026-05-18T00:30:56.671265+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03281","created_at":"2026-05-18T00:30:56.671265+00:00"},{"alias_kind":"pith_short_12","alias_value":"BKLZXUPAU6EK","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BKLZXUPAU6EKET5X","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BKLZXUPA","created_at":"2026-05-18T12:31:08.081275+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/BKLZXUPAU6EKET5XYCVIIIDGSK","json":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK.json","graph_json":"https://pith.science/api/pith-number/BKLZXUPAU6EKET5XYCVIIIDGSK/graph.json","events_json":"https://pith.science/api/pith-number/BKLZXUPAU6EKET5XYCVIIIDGSK/events.json","paper":"https://pith.science/paper/BKLZXUPA"},"agent_actions":{"view_html":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK","download_json":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK.json","view_paper":"https://pith.science/paper/BKLZXUPA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.03281&json=true","fetch_graph":"https://pith.science/api/pith-number/BKLZXUPAU6EKET5XYCVIIIDGSK/graph.json","fetch_events":"https://pith.science/api/pith-number/BKLZXUPAU6EKET5XYCVIIIDGSK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK/action/storage_attestation","attest_author":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK/action/author_attestation","sign_citation":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK/action/citation_signature","submit_replication":"https://pith.science/pith/BKLZXUPAU6EKET5XYCVIIIDGSK/action/replication_record"}},"created_at":"2026-05-18T00:30:56.671265+00:00","updated_at":"2026-05-18T00:30:56.671265+00:00"}