{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IT7TWDSANKPDANEIY335H33QAV","short_pith_number":"pith:IT7TWDSA","schema_version":"1.0","canonical_sha256":"44ff3b0e406a9e303488c6f7d3ef70054a90ed19c867c63890fc1ec100beb19e","source":{"kind":"arxiv","id":"1807.05899","version":2},"attestation_state":"computed","paper":{"title":"Holomorphicity of slice-regular functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Samuele Mongodi","submitted_at":"2018-07-16T14:50:36Z","abstract_excerpt":"Slice-regular functions of a quaternionic variable have been studied extensively in the last 12 years, resulting, in many ways, quite close to classical holomorphic functions of a complex variable; indeed, there is a correspondence between slice-regular functions and a certain family of holomorphic maps from the complex plane to $\\mathbb{C}^4$, as noted by Ghiloni and Perotti. However, such a construction does not seem to offer any insight on the behaviour of slice-regular functions, due to the lack of a connection between the values of the holomorphic map and the values of the associated slic"},"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":"1807.05899","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-16T14:50:36Z","cross_cats_sorted":[],"title_canon_sha256":"d7814a5c5b2620004514c9b03f62115db606b92fee18ab41f7b78b8f6be003c6","abstract_canon_sha256":"46e4806d327c4eca3f8122e1cb9847337183e8cb121ef12614ff991643edce62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:16.324934Z","signature_b64":"E1+XHvaU+83mMn02ev7PJoechxXSGmSONLtQruSy9XyDQNjk0JvnS1HVji0aTMf1/Ktil6aQKn1MknolYencBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44ff3b0e406a9e303488c6f7d3ef70054a90ed19c867c63890fc1ec100beb19e","last_reissued_at":"2026-05-18T00:10:16.324301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:16.324301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Holomorphicity of slice-regular functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Samuele Mongodi","submitted_at":"2018-07-16T14:50:36Z","abstract_excerpt":"Slice-regular functions of a quaternionic variable have been studied extensively in the last 12 years, resulting, in many ways, quite close to classical holomorphic functions of a complex variable; indeed, there is a correspondence between slice-regular functions and a certain family of holomorphic maps from the complex plane to $\\mathbb{C}^4$, as noted by Ghiloni and Perotti. However, such a construction does not seem to offer any insight on the behaviour of slice-regular functions, due to the lack of a connection between the values of the holomorphic map and the values of the associated slic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05899","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.05899","created_at":"2026-05-18T00:10:16.324410+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.05899v2","created_at":"2026-05-18T00:10:16.324410+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05899","created_at":"2026-05-18T00:10:16.324410+00:00"},{"alias_kind":"pith_short_12","alias_value":"IT7TWDSANKPD","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"IT7TWDSANKPDANEI","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"IT7TWDSA","created_at":"2026-05-18T12:32:31.084164+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/IT7TWDSANKPDANEIY335H33QAV","json":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV.json","graph_json":"https://pith.science/api/pith-number/IT7TWDSANKPDANEIY335H33QAV/graph.json","events_json":"https://pith.science/api/pith-number/IT7TWDSANKPDANEIY335H33QAV/events.json","paper":"https://pith.science/paper/IT7TWDSA"},"agent_actions":{"view_html":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV","download_json":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV.json","view_paper":"https://pith.science/paper/IT7TWDSA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.05899&json=true","fetch_graph":"https://pith.science/api/pith-number/IT7TWDSANKPDANEIY335H33QAV/graph.json","fetch_events":"https://pith.science/api/pith-number/IT7TWDSANKPDANEIY335H33QAV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV/action/storage_attestation","attest_author":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV/action/author_attestation","sign_citation":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV/action/citation_signature","submit_replication":"https://pith.science/pith/IT7TWDSANKPDANEIY335H33QAV/action/replication_record"}},"created_at":"2026-05-18T00:10:16.324410+00:00","updated_at":"2026-05-18T00:10:16.324410+00:00"}