{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DWFZW7TGECBLXI3FY5FOKI7RFV","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":"ef144c7234fc2df73f32eda7f383dc8fabbda06b38c7b4801c1e2905281efdf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-09-07T16:10:36Z","title_canon_sha256":"fc9ebb7a47e83b37291398867909b6629764d6b916a40e9a457e3f7aa258a81d"},"schema_version":"1.0","source":{"id":"1809.02561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02561","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02561v1","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02561","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"pith_short_12","alias_value":"DWFZW7TGECBL","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DWFZW7TGECBLXI3F","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DWFZW7TG","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:36911aa76c57bcb558395a73d2910805621edb1703196a019104c4e78ea0171a","target":"graph","created_at":"2026-05-18T00:06:16Z","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 the paper under review, we construct complex powers of multivalued linear operators with polynomially bounded $C$-resolvent existing on an appropriate region of the complex plane containing the interval $(-\\infty,0].$ In our approach, the operator $C$ is not necessarily injective. We clarify the basic properties of introduced powers and analyze the abstract incomplete fractional differential inclusions associated with the use of modified Liuoville right-sided derivatives. We also consider abstract incomplete differential inclusions of second order, working in the general setting of sequenti","authors_text":"Marko Kostic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-09-07T16:10:36Z","title":"Complex powers of multivalued linear operators with polynomially bounded $C$-resolvent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02561","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":"sha256:5f09096a2cc1cdf455bd3cc623c77ea5604ebae4d65effa8554d4202ac6c2372","target":"record","created_at":"2026-05-18T00:06:16Z","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":"ef144c7234fc2df73f32eda7f383dc8fabbda06b38c7b4801c1e2905281efdf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-09-07T16:10:36Z","title_canon_sha256":"fc9ebb7a47e83b37291398867909b6629764d6b916a40e9a457e3f7aa258a81d"},"schema_version":"1.0","source":{"id":"1809.02561","kind":"arxiv","version":1}},"canonical_sha256":"1d8b9b7e662082bba365c74ae523f12d620f02c378ef8a0edd6a81d5fc4369d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d8b9b7e662082bba365c74ae523f12d620f02c378ef8a0edd6a81d5fc4369d1","first_computed_at":"2026-05-18T00:06:16.758880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:16.758880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"36BClWySPRZnq2XOKfkoR0Wq1qgJE7EuJ1Kagu9XFW3cW15q1FHhy2n5bje0IcnQBlpnSvwgjmGBV9jNrux5Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:16.759447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f09096a2cc1cdf455bd3cc623c77ea5604ebae4d65effa8554d4202ac6c2372","sha256:36911aa76c57bcb558395a73d2910805621edb1703196a019104c4e78ea0171a"],"state_sha256":"46835467b22732ab1963995474837f97c7d927f7a198c26f3cacc58fc04f475b"}