{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4VRLCID7EGUO25S6XSEMBORVGE","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":"a22b8d065ea08c95d8d498d0c128fcbd85b427ac68f13aeef45fda8e70b4c99f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-03-16T08:20:15Z","title_canon_sha256":"4cbfcf2f619a3906cf8582381ab38c9d6b6bedd8bc6fde3f4cca9d8b88c974a6"},"schema_version":"1.0","source":{"id":"2503.12409","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.12409","created_at":"2026-05-20T00:02:48Z"},{"alias_kind":"arxiv_version","alias_value":"2503.12409v4","created_at":"2026-05-20T00:02:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.12409","created_at":"2026-05-20T00:02:48Z"},{"alias_kind":"pith_short_12","alias_value":"4VRLCID7EGUO","created_at":"2026-05-20T00:02:48Z"},{"alias_kind":"pith_short_16","alias_value":"4VRLCID7EGUO25S6","created_at":"2026-05-20T00:02:48Z"},{"alias_kind":"pith_short_8","alias_value":"4VRLCID7","created_at":"2026-05-20T00:02:48Z"}],"graph_snapshots":[{"event_id":"sha256:eecaa88b571f1323529a80dee17f3c9ac20a92404fee106edb7af502cae77482","target":"graph","created_at":"2026-05-20T00:02:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.12409/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent paper [Trans. Amer. Math. Soc. 378 (2025), 851-883], the concept of generalized partial-slice monogenic (or regular) function was introduced over Clifford algebras. The present paper shall extend the study of generalized partial-slice monogenic functions from the associative case of Clifford algebras to non-associative alternative algebras, such as octonions. The new class of functions encompasses the regular functions [Rend. Sem. Mat. Univ. Padova 50 (1973), 251-267] and slice regular functions [Rocky Mountain J. Math. 40 (2010), no. 1, 225-241] over octonions, indeed both appear ","authors_text":"Irene Sabadini, Zhenghua Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-03-16T08:20:15Z","title":"Generalized partial-slice monogenic functions: the octonionic case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.12409","kind":"arxiv","version":4},"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":"sha256:25028dbf9e15ea4b3aa0ce573880ceb0a7216acc168aa48c07833a85e71f4e0a","target":"record","created_at":"2026-05-20T00:02:48Z","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":"a22b8d065ea08c95d8d498d0c128fcbd85b427ac68f13aeef45fda8e70b4c99f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-03-16T08:20:15Z","title_canon_sha256":"4cbfcf2f619a3906cf8582381ab38c9d6b6bedd8bc6fde3f4cca9d8b88c974a6"},"schema_version":"1.0","source":{"id":"2503.12409","kind":"arxiv","version":4}},"canonical_sha256":"e562b1207f21a8ed765ebc88c0ba35310a8e0eba4b7ee8fef76ffe4943209b1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e562b1207f21a8ed765ebc88c0ba35310a8e0eba4b7ee8fef76ffe4943209b1a","first_computed_at":"2026-05-20T00:02:48.989975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:48.989975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"chuRcDuVrXtrJoVO0kCuH8L9bfrZ1W0Gs2rj6vlad3BBukKWmE1CMF1VD4pvsRuhIny+aQ8XSXxBJweY46bjDw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:48.990804Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.12409","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25028dbf9e15ea4b3aa0ce573880ceb0a7216acc168aa48c07833a85e71f4e0a","sha256:eecaa88b571f1323529a80dee17f3c9ac20a92404fee106edb7af502cae77482"],"state_sha256":"07554d909691cc236672e4f77e7fb29fd16b76ea37092e35376570c6a845af93"}