{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:42T635ZMY25SL5FQ5PKJ33FXKS","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":"f4181c2a0ac59d974da6786bb00630d9c793e5695654d7ac713b519123ebfdcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-18T11:26:34Z","title_canon_sha256":"d746f30d40097d45bcd51ed6b8407fd1d3742908ad36c5b974ed80171bdded1f"},"schema_version":"1.0","source":{"id":"1808.06073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06073","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06073v1","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06073","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"pith_short_12","alias_value":"42T635ZMY25S","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"42T635ZMY25SL5FQ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"42T635ZM","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:99c82af705c5887621f6abb94c93f1f7e7cdb4c2467da309a2db25b45d243129","target":"graph","created_at":"2026-05-17T23:55:55Z","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":"Unlike a Chern number in $2$D and $3$D topological system, Zak phase takes a subtle role to characterize the topological phase in $1$D. On the one hand, it is not a gauge invariant, on the other hand, the Zak phase difference between two quantum phases can be used to identify the topological phase transitions. A non-Hermitian system may inherit some characters of a Hermitian system, such as entirely real spectrum, unitary evolution, topological energy band, etc. In this paper, we study the influence of non-Hermitian term on the Zak phase for a class of non-Hermitian systems. We show exactly th","authors_text":"X. Z. Zhang, Z. Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-18T11:26:34Z","title":"Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06073","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:f9885f02588879ee1cb50c8c8289b8912e7e7b3729259a8aab65434a00ae96f1","target":"record","created_at":"2026-05-17T23:55:55Z","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":"f4181c2a0ac59d974da6786bb00630d9c793e5695654d7ac713b519123ebfdcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-18T11:26:34Z","title_canon_sha256":"d746f30d40097d45bcd51ed6b8407fd1d3742908ad36c5b974ed80171bdded1f"},"schema_version":"1.0","source":{"id":"1808.06073","kind":"arxiv","version":1}},"canonical_sha256":"e6a7edf72cc6bb25f4b0ebd49decb7548ce1c8935f4c7b1b3ae45b1d7826c6c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6a7edf72cc6bb25f4b0ebd49decb7548ce1c8935f4c7b1b3ae45b1d7826c6c5","first_computed_at":"2026-05-17T23:55:55.584224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:55.584224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zSy+yZP8FMTU4ZBwNfcbQxPLhM9rvpTA+xTzu6xT7oNDee1qX17C0RI5VItiPIbVI88FlCbu56I7OCIqJ5Y0AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:55.585049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9885f02588879ee1cb50c8c8289b8912e7e7b3729259a8aab65434a00ae96f1","sha256:99c82af705c5887621f6abb94c93f1f7e7cdb4c2467da309a2db25b45d243129"],"state_sha256":"7ffae1e81f23b2bd29321d4f7b506405c92ddacaec90ae6851ea9b78c530bbca"}