{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6EIN3U5TCL2Z553QIMMR5QBYQJ","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":"6244659cb57d492bb85ecfc70b05d9227eba4063d027d4cb005a21c67ffc070d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-20T20:28:04Z","title_canon_sha256":"84b0a26f80bb31a1e2f1b73c8137a82d5ec4350e7605eee6ba78c9ab795ca0f2"},"schema_version":"1.0","source":{"id":"1405.5234","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5234","created_at":"2026-05-18T01:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5234v1","created_at":"2026-05-18T01:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5234","created_at":"2026-05-18T01:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"6EIN3U5TCL2Z","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6EIN3U5TCL2Z553Q","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6EIN3U5T","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:fc6bf438ce3a1d48ac24bd9dabcfa2845a8fa6d78a4f6af4ee309eafab707357","target":"graph","created_at":"2026-05-18T01:43:10Z","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 discuss space-time symmetric Hamiltonian operators of the form $% H=H_{0}+igH^{\\prime}$, where $H_{0}$ is Hermitian and $g$ real. $H_{0}$ is invariant under the unitary operations of a point group $G$ while $H^{\\prime}$ is invariant under transformation by elements of a subgroup $G^{\\prime}$ of $G$. If $G$ exhibits irreducible representations of dimension greater than unity, then it is possible that $H$ has complex eigenvalues for sufficiently small nonzero values of $g$. In the particular case that $H$ is parity-time symmetric then it appears to exhibit real eigenvalues for all $% 0<g<g_{c","authors_text":"Francisco M. Fern\\'andez, Javier Garcia, Paolo Amore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-20T20:28:04Z","title":"Is space-time symmetry a suitable generalization of parity-time symmetry?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5234","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":"sha256:4fac86e8bb483937078f37cbbcb4d129721c2d148291aefee5db3becdec2764f","target":"record","created_at":"2026-05-18T01:43:10Z","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":"6244659cb57d492bb85ecfc70b05d9227eba4063d027d4cb005a21c67ffc070d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-20T20:28:04Z","title_canon_sha256":"84b0a26f80bb31a1e2f1b73c8137a82d5ec4350e7605eee6ba78c9ab795ca0f2"},"schema_version":"1.0","source":{"id":"1405.5234","kind":"arxiv","version":1}},"canonical_sha256":"f110ddd3b312f59ef77043191ec038824e3b1377ff6c1c6cef9e8ef9b469c01f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f110ddd3b312f59ef77043191ec038824e3b1377ff6c1c6cef9e8ef9b469c01f","first_computed_at":"2026-05-18T01:43:10.060745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:10.060745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gaVBWselW0P+FOwN3oKGI/ODHaASAVc/PxjK3FikSBRlE69mRn7wBeq/s+fXJf2L9GknIxGaEtH2+e0fpJkqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:10.061448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5234","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fac86e8bb483937078f37cbbcb4d129721c2d148291aefee5db3becdec2764f","sha256:fc6bf438ce3a1d48ac24bd9dabcfa2845a8fa6d78a4f6af4ee309eafab707357"],"state_sha256":"50dc61e9e50200e26299e4b2029ec8f9e93514ddfd0645053ca88b99adf2c3b0"}