{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NRHABIULMEIRM6UCIKTFWF6ANH","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":"701cafad71ad615925398726fdd13872e113c1c8d1826e884913d125f58d3dba","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-26T17:00:28Z","title_canon_sha256":"c6a614b2ebaf6194ca165ed589301de27f545d11638f0fe873ba3c387e0d56a3"},"schema_version":"1.0","source":{"id":"2210.14858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.14858","created_at":"2026-07-05T05:10:50Z"},{"alias_kind":"arxiv_version","alias_value":"2210.14858v1","created_at":"2026-07-05T05:10:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.14858","created_at":"2026-07-05T05:10:50Z"},{"alias_kind":"pith_short_12","alias_value":"NRHABIULMEIR","created_at":"2026-07-05T05:10:50Z"},{"alias_kind":"pith_short_16","alias_value":"NRHABIULMEIRM6UC","created_at":"2026-07-05T05:10:50Z"},{"alias_kind":"pith_short_8","alias_value":"NRHABIUL","created_at":"2026-07-05T05:10:50Z"}],"graph_snapshots":[{"event_id":"sha256:e6b47fb144f3ade0a1cf3e393fb862ef18e7c39aaa8c18b994894291321a87d3","target":"graph","created_at":"2026-07-05T05:10:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.14858/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-Hermitian systems exhibiting topological properties are attracting growing interest. In this work, we propose an algorithm for solving the ground state of a non-Hermitian system in the matrix product state (MPS) formalism based on a companion Hermitian Hamiltonian. If the eigenvalues of the non-Hermitian system are known, the companion Hermitian Hamiltonian can be directly constructed and solved using Hermitian variational methods. When the eigenvalues are unknown, a gradient descent along with the companion Hermitian Hamiltonian yields both the ground state eigenenergy and the eigenstate.","authors_text":"Li You, Meng Li, Shuo Yang, Zheng-Tao Xu, Zhen Guo","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-26T17:00:28Z","title":"Variational Matrix Product State Approach for Non-Hermitian System Based on a Companion Hermitian Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.14858","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":"sha256:34527cedf07f5b5b3efa62f2f616264e40a5e9d57d33870a776012212614381f","target":"record","created_at":"2026-07-05T05:10:50Z","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":"701cafad71ad615925398726fdd13872e113c1c8d1826e884913d125f58d3dba","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-26T17:00:28Z","title_canon_sha256":"c6a614b2ebaf6194ca165ed589301de27f545d11638f0fe873ba3c387e0d56a3"},"schema_version":"1.0","source":{"id":"2210.14858","kind":"arxiv","version":1}},"canonical_sha256":"6c4e00a28b6111167a8242a65b17c069eaac80f7f320c5df312b9115a5a5b28b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c4e00a28b6111167a8242a65b17c069eaac80f7f320c5df312b9115a5a5b28b","first_computed_at":"2026-07-05T05:10:50.378406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:10:50.378406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PiRn4+YtioGev+O7AyGQigVb1+bMvJsUrhOjNlMWMMdhgyLKRrPbf7+VvS5+s9Pm26aYQwO+aO+L2/Dm120aAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:10:50.378862Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.14858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34527cedf07f5b5b3efa62f2f616264e40a5e9d57d33870a776012212614381f","sha256:e6b47fb144f3ade0a1cf3e393fb862ef18e7c39aaa8c18b994894291321a87d3"],"state_sha256":"ca46470c927e53286feae70798da0c1855501acb0d849662655517d8af6b9300"}