{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NXKA3WHUA4TBKBYGGWQZCXJXLC","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":"91457b1349ddc308a664efbc0adbbd7ce8271ae61b9a89f4266129dec9e85511","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-22T19:30:02Z","title_canon_sha256":"9f8d0aa221f75b692f5e64bce440aa6f19a3a87e1e737f0276c5be9ecf853a53"},"schema_version":"1.0","source":{"id":"1301.5291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5291","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5291v1","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5291","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"NXKA3WHUA4TB","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NXKA3WHUA4TBKBYG","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NXKA3WHU","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:e387369256407b33226fa3c211a7d3ed5ffdbb28d4512472f486ef4fff538840","target":"graph","created_at":"2026-05-18T02:56:44Z","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 examine the conditions for the existence of bounded dynamical phases for finite PT-symmetric arrays of split-ring resonators. The dimer (N=2), trimer (N=3) and pentamer (N=5) cases are solved in closed form, while for $N>5$ results were computed numerically for several gain/loss spatial distributions. It is found that the parameter stability window decreases monotonically with the size of the array.","authors_text":"M. I. Molina","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-22T19:30:02Z","title":"Bounded dynamics of finite PT-symmetric magnetoinductive arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5291","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:c33a8a0f7feb41543dbf3d0e8c978a3c6740d7f0905ea372ca210ec45e195322","target":"record","created_at":"2026-05-18T02:56:44Z","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":"91457b1349ddc308a664efbc0adbbd7ce8271ae61b9a89f4266129dec9e85511","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-22T19:30:02Z","title_canon_sha256":"9f8d0aa221f75b692f5e64bce440aa6f19a3a87e1e737f0276c5be9ecf853a53"},"schema_version":"1.0","source":{"id":"1301.5291","kind":"arxiv","version":1}},"canonical_sha256":"6dd40dd8f4072615070635a1915d37589c9410dd6a1cbff66a1e2afabd90550b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dd40dd8f4072615070635a1915d37589c9410dd6a1cbff66a1e2afabd90550b","first_computed_at":"2026-05-18T02:56:44.369711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:44.369711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"81KdL8TXr4VoRFX5ENJKPZJWzUlfFAnxccdppFFsox/vSxCqfghN2WxhbgOVhTz4qB9qBI/I32E7+FwTa4H2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:44.370193Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c33a8a0f7feb41543dbf3d0e8c978a3c6740d7f0905ea372ca210ec45e195322","sha256:e387369256407b33226fa3c211a7d3ed5ffdbb28d4512472f486ef4fff538840"],"state_sha256":"5277f1afbb67e80b50415219c518ce82a8f21f7f6a8fbc2001307d7086bc8132"}