{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KQRTHOXO2KNDVPJBT37WFQNGNH","short_pith_number":"pith:KQRTHOXO","canonical_record":{"source":{"id":"1811.06270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-15T10:07:21Z","cross_cats_sorted":[],"title_canon_sha256":"62ca4e25e492231e55699ccb711b1c892f9c05d190baf725e82c03cb459e3f19","abstract_canon_sha256":"e321bea6cbb9de34941790ee8c9c0070a4c926fdf7dbbf31acae1368a71e6bf0"},"schema_version":"1.0"},"canonical_sha256":"542333baeed29a3abd219eff62c1a669e94c89752b312fbaf034b50dd1a6e233","source":{"kind":"arxiv","id":"1811.06270","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06270","created_at":"2026-05-17T23:45:33Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06270v1","created_at":"2026-05-17T23:45:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06270","created_at":"2026-05-17T23:45:33Z"},{"alias_kind":"pith_short_12","alias_value":"KQRTHOXO2KND","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KQRTHOXO2KNDVPJB","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KQRTHOXO","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KQRTHOXO2KNDVPJBT37WFQNGNH","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-15T10:07:21Z","cross_cats_sorted":[],"title_canon_sha256":"62ca4e25e492231e55699ccb711b1c892f9c05d190baf725e82c03cb459e3f19","abstract_canon_sha256":"e321bea6cbb9de34941790ee8c9c0070a4c926fdf7dbbf31acae1368a71e6bf0"},"schema_version":"1.0"},"canonical_sha256":"542333baeed29a3abd219eff62c1a669e94c89752b312fbaf034b50dd1a6e233","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:33.045564Z","signature_b64":"mI+Hzag9fYwjpTyUTxYNoNqxCF95mLc+7DAGzXqY2bND4GuDbXfNK7Al8Wn4VP4N0QVzxcbCoGfvJbb+M3CVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"542333baeed29a3abd219eff62c1a669e94c89752b312fbaf034b50dd1a6e233","last_reissued_at":"2026-05-17T23:45:33.044951Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:33.044951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06270","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xuta3Sfi2qlxYA4+nePEOcbdApylrUXPyxMtB7AnfpsJXZYdeItTWdVQ0cMphDoX7TN/0aZjAYfKzLyKQ/ShDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:57:51.316824Z"},"content_sha256":"62fd7506c9ee31267bbfc7ff662de1d137e7c01c105e0b92b7a2d1238c6c6021","schema_version":"1.0","event_id":"sha256:62fd7506c9ee31267bbfc7ff662de1d137e7c01c105e0b92b7a2d1238c6c6021"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KQRTHOXO2KNDVPJBT37WFQNGNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$S$-matrix pole symmetries for non-Hermitian scattering Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Buend\\'ia, A.Kiely, Ali Mostafazadeh, J. G. Muga, M. A. Sim\\'on","submitted_at":"2018-11-15T10:07:21Z","abstract_excerpt":"The complex eigenvalues of some non-Hermitian Hamiltonians, e.g. parity-time symmetric Hamiltonians, come in complex-conjugate pairs. We show that for non-Hermitian scattering Hamiltonians (of a structureless particle in one dimension) possesing one of four certain symmetries, the poles of the $S$-matrix eigenvalues in the complex momentum plane are symmetric about the imaginary axis, i.e. they are complex-conjugate pairs in complex-energy plane. This applies even to states which are not bounded eigenstates of the system, i.e. antibound or virtual states, resonances, and antiresonances. The fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06270","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X6sv2yKVVYz7sBTqpon90FSBKIvkO5S47Ygp/75GOQ6iBIjf70e8kTxRdIH5pQToYFZv8WJwtBrqGU5h4rfhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:57:51.317158Z"},"content_sha256":"f1224d0791a73e425b9bbb661bb29c2772eb1efa3ec3709ba15f7b0f59ff4ae1","schema_version":"1.0","event_id":"sha256:f1224d0791a73e425b9bbb661bb29c2772eb1efa3ec3709ba15f7b0f59ff4ae1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KQRTHOXO2KNDVPJBT37WFQNGNH/bundle.json","state_url":"https://pith.science/pith/KQRTHOXO2KNDVPJBT37WFQNGNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KQRTHOXO2KNDVPJBT37WFQNGNH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T14:57:51Z","links":{"resolver":"https://pith.science/pith/KQRTHOXO2KNDVPJBT37WFQNGNH","bundle":"https://pith.science/pith/KQRTHOXO2KNDVPJBT37WFQNGNH/bundle.json","state":"https://pith.science/pith/KQRTHOXO2KNDVPJBT37WFQNGNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KQRTHOXO2KNDVPJBT37WFQNGNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KQRTHOXO2KNDVPJBT37WFQNGNH","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":"e321bea6cbb9de34941790ee8c9c0070a4c926fdf7dbbf31acae1368a71e6bf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-15T10:07:21Z","title_canon_sha256":"62ca4e25e492231e55699ccb711b1c892f9c05d190baf725e82c03cb459e3f19"},"schema_version":"1.0","source":{"id":"1811.06270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06270","created_at":"2026-05-17T23:45:33Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06270v1","created_at":"2026-05-17T23:45:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06270","created_at":"2026-05-17T23:45:33Z"},{"alias_kind":"pith_short_12","alias_value":"KQRTHOXO2KND","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KQRTHOXO2KNDVPJB","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KQRTHOXO","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:f1224d0791a73e425b9bbb661bb29c2772eb1efa3ec3709ba15f7b0f59ff4ae1","target":"graph","created_at":"2026-05-17T23:45:33Z","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":"The complex eigenvalues of some non-Hermitian Hamiltonians, e.g. parity-time symmetric Hamiltonians, come in complex-conjugate pairs. We show that for non-Hermitian scattering Hamiltonians (of a structureless particle in one dimension) possesing one of four certain symmetries, the poles of the $S$-matrix eigenvalues in the complex momentum plane are symmetric about the imaginary axis, i.e. they are complex-conjugate pairs in complex-energy plane. This applies even to states which are not bounded eigenstates of the system, i.e. antibound or virtual states, resonances, and antiresonances. The fo","authors_text":"A. Buend\\'ia, A.Kiely, Ali Mostafazadeh, J. G. Muga, M. A. Sim\\'on","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-15T10:07:21Z","title":"$S$-matrix pole symmetries for non-Hermitian scattering Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06270","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":"sha256:62fd7506c9ee31267bbfc7ff662de1d137e7c01c105e0b92b7a2d1238c6c6021","target":"record","created_at":"2026-05-17T23:45:33Z","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":"e321bea6cbb9de34941790ee8c9c0070a4c926fdf7dbbf31acae1368a71e6bf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-15T10:07:21Z","title_canon_sha256":"62ca4e25e492231e55699ccb711b1c892f9c05d190baf725e82c03cb459e3f19"},"schema_version":"1.0","source":{"id":"1811.06270","kind":"arxiv","version":1}},"canonical_sha256":"542333baeed29a3abd219eff62c1a669e94c89752b312fbaf034b50dd1a6e233","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"542333baeed29a3abd219eff62c1a669e94c89752b312fbaf034b50dd1a6e233","first_computed_at":"2026-05-17T23:45:33.044951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:33.044951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mI+Hzag9fYwjpTyUTxYNoNqxCF95mLc+7DAGzXqY2bND4GuDbXfNK7Al8Wn4VP4N0QVzxcbCoGfvJbb+M3CVCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:33.045564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62fd7506c9ee31267bbfc7ff662de1d137e7c01c105e0b92b7a2d1238c6c6021","sha256:f1224d0791a73e425b9bbb661bb29c2772eb1efa3ec3709ba15f7b0f59ff4ae1"],"state_sha256":"9be1a07b239877997204dfe02febc6900c8b7eef98e3c55c5706ec39553296ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KBpqONjfBtfGipDEGVDwuKBBF7VLZYtJ0/xh1q9vuxLWGVTXkQ27IzQfknFbW8Jlh0XSuGTGme4Hg1YmUY+KBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:57:51.319079Z","bundle_sha256":"2a1694627d5a3b50785bf45b2b52719af580a8b2bb7736a8d02f77529f736316"}}