{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QNGL4WC56DJSITCXXPHYMINVGC","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":"e5a08d7c8f2dc94c18af652fb43f09a45551b2dd8e7ce2229ebc8b0e468654be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-07T12:30:24Z","title_canon_sha256":"f9106fe88df391d0829dbbc594713ef16d47d79f173dc37067d57963d3793f13"},"schema_version":"1.0","source":{"id":"1612.02220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02220","created_at":"2026-05-18T00:55:35Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02220v1","created_at":"2026-05-18T00:55:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02220","created_at":"2026-05-18T00:55:35Z"},{"alias_kind":"pith_short_12","alias_value":"QNGL4WC56DJS","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNGL4WC56DJSITCX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNGL4WC5","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:05175744fb145c3aa02d38358cfd4f01e6ec44e5b11421bbe7cbfb2dda2c899c","target":"graph","created_at":"2026-05-18T00:55:35Z","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 article, we present univalence criteria for polyharmonic and polyanalytic functions. Our approach yields new a criterion for a polyharmonic functions to be fully $\\alpha$--accessible. Several examples are presented to illustrate the use of these criteria.","authors_text":"E. G. Ganenkova, K. F. Amozova, S. Ponnusamy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-07T12:30:24Z","title":"Criteria of univalence and fully \\alpha--accessibility for p--harmonic and p--analytic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02220","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:be61535f8624b480b50b8fcbd6d39b2dc74dbccbf536979d2bd7f4b1ff8af62a","target":"record","created_at":"2026-05-18T00:55:35Z","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":"e5a08d7c8f2dc94c18af652fb43f09a45551b2dd8e7ce2229ebc8b0e468654be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-07T12:30:24Z","title_canon_sha256":"f9106fe88df391d0829dbbc594713ef16d47d79f173dc37067d57963d3793f13"},"schema_version":"1.0","source":{"id":"1612.02220","kind":"arxiv","version":1}},"canonical_sha256":"834cbe585df0d3244c57bbcf8621b530a8e90ddefa8497aefb95a23bb495b5a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"834cbe585df0d3244c57bbcf8621b530a8e90ddefa8497aefb95a23bb495b5a6","first_computed_at":"2026-05-18T00:55:35.106184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:35.106184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iY6bJoukM1iw2ylvq+9VZ6xQaT0qkhrOyJb9PmAAAI4sFA8+2psxT4yIgNXddFkUzD8irYC5ofY0uUe1OZ7/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:35.106669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be61535f8624b480b50b8fcbd6d39b2dc74dbccbf536979d2bd7f4b1ff8af62a","sha256:05175744fb145c3aa02d38358cfd4f01e6ec44e5b11421bbe7cbfb2dda2c899c"],"state_sha256":"1b5de1f80739f4b57faa0e03f74fdb0d0c7ef36adf0293b71d5e5a645c9786e1"}