{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DYASYJPMBYTOVVYQZ5G2PVFJID","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":"5799be491e504f930d654c8ea6a2898986f983af766da8189de326cc64b3c0e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-12T07:37:22Z","title_canon_sha256":"582b98715c5c5c17db743805e2858192953effa988b3c08b3d54e2a131c8df27"},"schema_version":"1.0","source":{"id":"1402.2749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2749","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2749v1","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2749","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"DYASYJPMBYTO","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DYASYJPMBYTOVVYQ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DYASYJPM","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:6f1286c8e59aa3a318e760b7501ccbe6c070eceec745fc2e2d76ff3d95117ff4","target":"graph","created_at":"2026-05-18T01:44:45Z","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":"PT symmetric Aubry-Andre model describes an array of N coupled optical waveguides with position dependent gain and loss. We show that the reality of the spectrum depends sensitively on the degree of disorder for small number of lattice sites. We obtain the Hofstadter Butterfly spectrum and discuss the existence of the phase transition from extended to localized states. We show that rapidly changing periodical gain/loss materials almost conserves the total intensity.","authors_text":"C. Yuce","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-12T07:37:22Z","title":"PT Symmetric Aubry-Andre Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2749","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:d916488c4f50f659b48020197f65e20252efb05193463ee35d307a655531e460","target":"record","created_at":"2026-05-18T01:44:45Z","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":"5799be491e504f930d654c8ea6a2898986f983af766da8189de326cc64b3c0e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-12T07:37:22Z","title_canon_sha256":"582b98715c5c5c17db743805e2858192953effa988b3c08b3d54e2a131c8df27"},"schema_version":"1.0","source":{"id":"1402.2749","kind":"arxiv","version":1}},"canonical_sha256":"1e012c25ec0e26ead710cf4da7d4a940d6f48faa39c98326e6d415f4b9d56437","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e012c25ec0e26ead710cf4da7d4a940d6f48faa39c98326e6d415f4b9d56437","first_computed_at":"2026-05-18T01:44:45.053774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:45.053774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QgYfdF+Q6jMTAqfkMM0Bs+MwpWZfkqNq/2yWXu3et4gPoU69qJe7jiOg18u8kKp/9QhKkeUgvK9sNRLR7ZwlDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:45.054285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d916488c4f50f659b48020197f65e20252efb05193463ee35d307a655531e460","sha256:6f1286c8e59aa3a318e760b7501ccbe6c070eceec745fc2e2d76ff3d95117ff4"],"state_sha256":"43eecbaabaeb308975461b5b2a060949ce068217d20eb79ef3c1e4327eae7f69"}