{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VBUNCOPF737KMVBBRRAZPCTFSD","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":"95caf14312eaa9f8a46e91e3b74215d2aaa4976fbce63de114d9577cd2eef1b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-22T00:52:12Z","title_canon_sha256":"b76493b079aaa2a24ebe0e5f0aa611a315583836fbbde067a8ef593c354dfd88"},"schema_version":"1.0","source":{"id":"1311.5631","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5631","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5631v1","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5631","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"VBUNCOPF737K","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VBUNCOPF737KMVBB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VBUNCOPF","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:c12228aecb66c1da88e4243f899f0002aa6896896ad22decf9d860adaf035ff3","target":"graph","created_at":"2026-05-18T03:06:23Z","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 investigate the evolution of a state which is dominated by a finite-dimensional non-Hermitian time-dependent Hamiltonian operator with a nondegenerate spectrum by using a biorthonormal approach. The geometric phase between any two states, biorthogonal or not, are generally derived by employing the generalized interference method. The counterpart of Manini-Pistolesi non-diagonal geometric phase in the non-Hermitian setting is taken as a typical example.","authors_text":"Xiao-Dong Cui, Yujun Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-22T00:52:12Z","title":"Geometric phases between biorthogonal states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5631","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":"sha256:312f36a52173ae0b7733a7a8fc782e1845c4e0c0886bcb0d39922ce9b6e52e74","target":"record","created_at":"2026-05-18T03:06:23Z","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":"95caf14312eaa9f8a46e91e3b74215d2aaa4976fbce63de114d9577cd2eef1b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-22T00:52:12Z","title_canon_sha256":"b76493b079aaa2a24ebe0e5f0aa611a315583836fbbde067a8ef593c354dfd88"},"schema_version":"1.0","source":{"id":"1311.5631","kind":"arxiv","version":1}},"canonical_sha256":"a868d139e5fefea654218c41978a6590fa23c433712324572ec55e76e9d14344","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a868d139e5fefea654218c41978a6590fa23c433712324572ec55e76e9d14344","first_computed_at":"2026-05-18T03:06:23.691230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:23.691230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rBn5c4CuRnPoLloLrvj38Wr/94fQ+YaePbGfyaPLBHU+6Mrqs4OogTgkpVnAORthn50uvLr4cHY8u6bX/TCGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:23.691852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5631","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:312f36a52173ae0b7733a7a8fc782e1845c4e0c0886bcb0d39922ce9b6e52e74","sha256:c12228aecb66c1da88e4243f899f0002aa6896896ad22decf9d860adaf035ff3"],"state_sha256":"4f2fe68524c0c8ee329bdae973db81cd655d579aa06a231f986e1bde0ec63f58"}