{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DZ5Y2F7OMVOY7IKLQOPLFWQB7V","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":"f87a942730eb57dc7343ec4fa029585f67cd888d8fae53026e47e588fd733cee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-19T15:30:47Z","title_canon_sha256":"7e09e8e1b4d0fc0dcde9b0b1a455108c235692e5a501c9e9ff01cd56ae0c7213"},"schema_version":"1.0","source":{"id":"1504.04840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04840","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04840v1","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04840","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"DZ5Y2F7OMVOY","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DZ5Y2F7OMVOY7IKL","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DZ5Y2F7O","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:065234f5355b0d88c54033246733481bf463ffb3644281444c23d9d710d691ad","target":"graph","created_at":"2026-05-18T02:18:24Z","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":"We show how to approximate a solution of the first order linear evolution equation, together with its possible analytic continuation, using a solution of the time-fractional equation of order $\\delta >1$, where $\\delta \\to 1+0$.","authors_text":"Anatoly N. Kochubei, Yuri G. Kondratiev","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-19T15:30:47Z","title":"Fractional approximation of solutions of evolution equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04840","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":"sha256:2991b26c6afaea20f3571d1ea5bfead965927e140271be91960dee5ae0dc2773","target":"record","created_at":"2026-05-18T02:18:24Z","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":"f87a942730eb57dc7343ec4fa029585f67cd888d8fae53026e47e588fd733cee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-19T15:30:47Z","title_canon_sha256":"7e09e8e1b4d0fc0dcde9b0b1a455108c235692e5a501c9e9ff01cd56ae0c7213"},"schema_version":"1.0","source":{"id":"1504.04840","kind":"arxiv","version":1}},"canonical_sha256":"1e7b8d17ee655d8fa14b839eb2da01fd4b53aac3c8897749fb961e0a1d779895","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e7b8d17ee655d8fa14b839eb2da01fd4b53aac3c8897749fb961e0a1d779895","first_computed_at":"2026-05-18T02:18:24.592795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:24.592795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAU3ru73OZcCnNAs0R6AvRSc2qNZWPjVLedwYQe8ouMCWq5jvCjRi9mgFC1QiCTXbdMWmMKWN/0Cex7vasm0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:24.593417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2991b26c6afaea20f3571d1ea5bfead965927e140271be91960dee5ae0dc2773","sha256:065234f5355b0d88c54033246733481bf463ffb3644281444c23d9d710d691ad"],"state_sha256":"bc02d570128341a45d5888d6a3764acbfa5142190b6d00f2e7f14c88214883c5"}