{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:OAXN6OYPDM4VLSSS7IGMVJ3PWP","short_pith_number":"pith:OAXN6OYP","schema_version":"1.0","canonical_sha256":"702edf3b0f1b3955ca52fa0ccaa76fb3cc0f0a0665af49d5d7c2b24de1c544ab","source":{"kind":"arxiv","id":"1611.01324","version":1},"attestation_state":"computed","paper":{"title":"Fueter's theorem for monogenic functions in biaxial symmetric domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dixan Pe\\~na Pe\\~na, Franciscus Sommen, Irene Sabadini","submitted_at":"2016-11-04T11:06:28Z","abstract_excerpt":"In this paper we generalize the result on Fueter's theorem from [10] by Eelbode et al. to the case of monogenic functions in biaxially symmetric domains. To obtain this result, Eelbode et al. used representation theory methods but their result also follows from a direct calculus we established in our paper [21]. In this paper we first generalize [21] to the biaxial case and derive the main result from that."},"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":"1611.01324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-11-04T11:06:28Z","cross_cats_sorted":[],"title_canon_sha256":"4011aa9d422923e5c8326efc4bd31abfad133ca4b1044286c9646d81d6fa1449","abstract_canon_sha256":"e6006aa0362a3f1d84b7d92fb4eb792ba91f1beda153fb539b80f46f29e46c6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:11.342103Z","signature_b64":"oT8E2FvdO5T2FZg3NsTlgwCmWlQPgEZaECHB4QdH63YtKJtRL1EMhuofGuZ8bQj8vKbFR2QZPLQwbhCg3eiYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"702edf3b0f1b3955ca52fa0ccaa76fb3cc0f0a0665af49d5d7c2b24de1c544ab","last_reissued_at":"2026-05-18T01:00:11.341461Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:11.341461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fueter's theorem for monogenic functions in biaxial symmetric domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dixan Pe\\~na Pe\\~na, Franciscus Sommen, Irene Sabadini","submitted_at":"2016-11-04T11:06:28Z","abstract_excerpt":"In this paper we generalize the result on Fueter's theorem from [10] by Eelbode et al. to the case of monogenic functions in biaxially symmetric domains. To obtain this result, Eelbode et al. used representation theory methods but their result also follows from a direct calculus we established in our paper [21]. In this paper we first generalize [21] to the biaxial case and derive the main result from that."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01324","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":"1611.01324","created_at":"2026-05-18T01:00:11.341556+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.01324v1","created_at":"2026-05-18T01:00:11.341556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01324","created_at":"2026-05-18T01:00:11.341556+00:00"},{"alias_kind":"pith_short_12","alias_value":"OAXN6OYPDM4V","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"OAXN6OYPDM4VLSSS","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"OAXN6OYP","created_at":"2026-05-18T12:30:36.002864+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/OAXN6OYPDM4VLSSS7IGMVJ3PWP","json":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP.json","graph_json":"https://pith.science/api/pith-number/OAXN6OYPDM4VLSSS7IGMVJ3PWP/graph.json","events_json":"https://pith.science/api/pith-number/OAXN6OYPDM4VLSSS7IGMVJ3PWP/events.json","paper":"https://pith.science/paper/OAXN6OYP"},"agent_actions":{"view_html":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP","download_json":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP.json","view_paper":"https://pith.science/paper/OAXN6OYP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.01324&json=true","fetch_graph":"https://pith.science/api/pith-number/OAXN6OYPDM4VLSSS7IGMVJ3PWP/graph.json","fetch_events":"https://pith.science/api/pith-number/OAXN6OYPDM4VLSSS7IGMVJ3PWP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP/action/storage_attestation","attest_author":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP/action/author_attestation","sign_citation":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP/action/citation_signature","submit_replication":"https://pith.science/pith/OAXN6OYPDM4VLSSS7IGMVJ3PWP/action/replication_record"}},"created_at":"2026-05-18T01:00:11.341556+00:00","updated_at":"2026-05-18T01:00:11.341556+00:00"}