{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GFRT4J62QMFWVSTKPQZOGKOPOB","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":"f2c327008a01d043f8c38e2d0b0829bf91488457c4da4d0cbd813ed68b2f0b8f","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-09T22:14:15Z","title_canon_sha256":"d7b04677b5f479c5cd2c4c8bbbcbfceb5cb0ea32398b1699d9f4e916bf11421f"},"schema_version":"1.0","source":{"id":"1810.04272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04272","created_at":"2026-05-18T00:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04272v1","created_at":"2026-05-18T00:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04272","created_at":"2026-05-18T00:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"GFRT4J62QMFW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GFRT4J62QMFWVSTK","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GFRT4J62","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:0f5361ab636cae9889f888d2940c8b48aa3c49083c908947fddafb10ce25bf82","target":"graph","created_at":"2026-05-18T00:03:40Z","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":"A large time expansion for the propagator associated to a semiclassical non-selfadjoint magnetic Schr\\\"odinger operator is established, in terms of the low lying eigenvalues of the operator.","authors_text":"Ben Bellis, Michael Hitrik","cross_cats":["math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-09T22:14:15Z","title":"Semigroup expansions for non-selfadjoint Schr\\\"odinger operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04272","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":"sha256:65dbeacb759d76525432bec71e1083f1cd7f6e0e328a5388834924223b677fdd","target":"record","created_at":"2026-05-18T00:03:40Z","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":"f2c327008a01d043f8c38e2d0b0829bf91488457c4da4d0cbd813ed68b2f0b8f","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-09T22:14:15Z","title_canon_sha256":"d7b04677b5f479c5cd2c4c8bbbcbfceb5cb0ea32398b1699d9f4e916bf11421f"},"schema_version":"1.0","source":{"id":"1810.04272","kind":"arxiv","version":1}},"canonical_sha256":"31633e27da830b6aca6a7c32e329cf704dc1f3efec444bd80ce72682e6c8dfba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31633e27da830b6aca6a7c32e329cf704dc1f3efec444bd80ce72682e6c8dfba","first_computed_at":"2026-05-18T00:03:40.621738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:40.621738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7wqmwj/FHpwk3J40+xTnwmxgrLnqw5klwSqxLXSc7S0BtrzzuhPs/ZENom+BP7V41iJDwqIp1oAhhL8hY0H5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:40.622374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65dbeacb759d76525432bec71e1083f1cd7f6e0e328a5388834924223b677fdd","sha256:0f5361ab636cae9889f888d2940c8b48aa3c49083c908947fddafb10ce25bf82"],"state_sha256":"1f1d24c30c657a2a73f45d3fb61641f328165fd9240cc664e092bf6a187ac819"}