{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZQGX7NHC3TDHYDALGXZCKWSPKH","short_pith_number":"pith:ZQGX7NHC","schema_version":"1.0","canonical_sha256":"cc0d7fb4e2dcc67c0c0b35f2255a4f51ecffae91a2b72111237651a5b7b380fd","source":{"kind":"arxiv","id":"1201.3450","version":1},"attestation_state":"computed","paper":{"title":"An integral transform on a cylinder and the twistor correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fuminori Nakata","submitted_at":"2012-01-17T08:16:54Z","abstract_excerpt":"Twistor correspondences for R-invariant indefinite self-dual conformal structures on R^4 are established explicitly. These correspondences are written down by using a natural integral transform from functions on a two dimensional cylinder to functions on the flat Lorentz space R^{1,2} which is related to the wave equation and the Radon transform. A general method on the twistor construction of indefinite self-dual 4-spaces and indefinite Einstein-Weyl 3-spaces are also summarized."},"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":"1201.3450","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-17T08:16:54Z","cross_cats_sorted":[],"title_canon_sha256":"8cfacfa4c3352cca6d01870ff33268f39d9f9a82bbbd408fd95a304037384f30","abstract_canon_sha256":"9b1761bfa631d4a0dea02145561c07a160676267eaf5c3293ef61d973ac5ee38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:29.256623Z","signature_b64":"JT8BMDSeUBSZMORy94AQRz7HYmt0+FGohtwTUN2DNtYDhWZSmcdERSDL/noeP4AqPkEuueax5yDYqtBw3lekCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc0d7fb4e2dcc67c0c0b35f2255a4f51ecffae91a2b72111237651a5b7b380fd","last_reissued_at":"2026-05-18T04:04:29.255858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:29.255858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An integral transform on a cylinder and the twistor correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fuminori Nakata","submitted_at":"2012-01-17T08:16:54Z","abstract_excerpt":"Twistor correspondences for R-invariant indefinite self-dual conformal structures on R^4 are established explicitly. These correspondences are written down by using a natural integral transform from functions on a two dimensional cylinder to functions on the flat Lorentz space R^{1,2} which is related to the wave equation and the Radon transform. A general method on the twistor construction of indefinite self-dual 4-spaces and indefinite Einstein-Weyl 3-spaces are also summarized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3450","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":"1201.3450","created_at":"2026-05-18T04:04:29.255978+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.3450v1","created_at":"2026-05-18T04:04:29.255978+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3450","created_at":"2026-05-18T04:04:29.255978+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZQGX7NHC3TDH","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZQGX7NHC3TDHYDAL","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZQGX7NHC","created_at":"2026-05-18T12:27:30.460161+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/ZQGX7NHC3TDHYDALGXZCKWSPKH","json":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH.json","graph_json":"https://pith.science/api/pith-number/ZQGX7NHC3TDHYDALGXZCKWSPKH/graph.json","events_json":"https://pith.science/api/pith-number/ZQGX7NHC3TDHYDALGXZCKWSPKH/events.json","paper":"https://pith.science/paper/ZQGX7NHC"},"agent_actions":{"view_html":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH","download_json":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH.json","view_paper":"https://pith.science/paper/ZQGX7NHC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.3450&json=true","fetch_graph":"https://pith.science/api/pith-number/ZQGX7NHC3TDHYDALGXZCKWSPKH/graph.json","fetch_events":"https://pith.science/api/pith-number/ZQGX7NHC3TDHYDALGXZCKWSPKH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH/action/storage_attestation","attest_author":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH/action/author_attestation","sign_citation":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH/action/citation_signature","submit_replication":"https://pith.science/pith/ZQGX7NHC3TDHYDALGXZCKWSPKH/action/replication_record"}},"created_at":"2026-05-18T04:04:29.255978+00:00","updated_at":"2026-05-18T04:04:29.255978+00:00"}