{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:664Y3JZ6AIEST2PNBZOCQQAVKB","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":"b0cc83ff8f60229a2ad3d10636bb03d3ef3156303885db6c18f9180f5757f4d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-25T12:41:10Z","title_canon_sha256":"36737950dfc7563fb25d4e66ceaa4a809d2db4586c3d33e67bcc8435e0fb2178"},"schema_version":"1.0","source":{"id":"1810.10847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10847","created_at":"2026-05-18T00:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10847v1","created_at":"2026-05-18T00:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10847","created_at":"2026-05-18T00:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"664Y3JZ6AIES","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"664Y3JZ6AIEST2PN","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"664Y3JZ6","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:32adc99c0a02cc1a33c4ad9cd531dd076eba87518f20b21c7b04261933bea36c","target":"graph","created_at":"2026-05-18T00:02:19Z","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"},"paper":{"abstract_excerpt":"In this paper, we define a class of slice mappings of several Clifford variables, and the corresponding slice regular mappings. Furthermore, we establish the growth theorem for slice regular starlike or convex mappings on the unit ball of several slice Clifford variables, as well as on the bounded slice domain which is slice starlike and slice circular.","authors_text":"Guangbin Ren, Ting Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-25T12:41:10Z","title":"Growth theorems in slice analysis of several variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10847","kind":"arxiv","version":1},"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":"sha256:57e3981a877bc89569dd9accca0532586956f0ad5dce38701e40137fc19e73d3","target":"record","created_at":"2026-05-18T00:02:19Z","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":"b0cc83ff8f60229a2ad3d10636bb03d3ef3156303885db6c18f9180f5757f4d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-25T12:41:10Z","title_canon_sha256":"36737950dfc7563fb25d4e66ceaa4a809d2db4586c3d33e67bcc8435e0fb2178"},"schema_version":"1.0","source":{"id":"1810.10847","kind":"arxiv","version":1}},"canonical_sha256":"f7b98da73e020929e9ed0e5c28401550402225a338ca7c42eb4885f645a06909","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7b98da73e020929e9ed0e5c28401550402225a338ca7c42eb4885f645a06909","first_computed_at":"2026-05-18T00:02:19.029289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:19.029289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6JPUwXh2aiJYj+czBQPHZvQMbrAr/Ufqe7cU5pb+V4Mr24mE3jiRVSN1qe9sWyKztSGMTX3CyRCDbgOlbP9bAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:19.029672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.10847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57e3981a877bc89569dd9accca0532586956f0ad5dce38701e40137fc19e73d3","sha256:32adc99c0a02cc1a33c4ad9cd531dd076eba87518f20b21c7b04261933bea36c"],"state_sha256":"17cf173d598feabe1807d31472bc33ac684dd0a384547e45b243228772936dd2"}