{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KGKHMPIBR3VHUMBXFHC6YDNGHJ","short_pith_number":"pith:KGKHMPIB","canonical_record":{"source":{"id":"1109.3113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T15:43:19Z","cross_cats_sorted":[],"title_canon_sha256":"472fe4b3fd515ba67fa9c14edfb20da3a7b446224bee2c22186fd109dd297294","abstract_canon_sha256":"39d29e9e611b67e658512708887d786956ea4658da37a6da67f1b099a7c56ba2"},"schema_version":"1.0"},"canonical_sha256":"5194763d018eea7a303729c5ec0da63a732b813b4bd8d1b5c2e72c45a2b93f50","source":{"kind":"arxiv","id":"1109.3113","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3113","created_at":"2026-05-18T03:35:41Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3113v2","created_at":"2026-05-18T03:35:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3113","created_at":"2026-05-18T03:35:41Z"},{"alias_kind":"pith_short_12","alias_value":"KGKHMPIBR3VH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KGKHMPIBR3VHUMBX","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KGKHMPIB","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KGKHMPIBR3VHUMBXFHC6YDNGHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T15:43:19Z","cross_cats_sorted":[],"title_canon_sha256":"472fe4b3fd515ba67fa9c14edfb20da3a7b446224bee2c22186fd109dd297294","abstract_canon_sha256":"39d29e9e611b67e658512708887d786956ea4658da37a6da67f1b099a7c56ba2"},"schema_version":"1.0"},"canonical_sha256":"5194763d018eea7a303729c5ec0da63a732b813b4bd8d1b5c2e72c45a2b93f50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:41.340142Z","signature_b64":"tH8DJa6ZHZ5qMDq1cmhS2EWX/yoH5W4RRA0ddFZ6/NZsPNQyeDORcWtIdu2PlBIHM1Q3C5U/6sAb2J+xwW7YBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5194763d018eea7a303729c5ec0da63a732b813b4bd8d1b5c2e72c45a2b93f50","last_reissued_at":"2026-05-18T03:35:41.339421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:41.339421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3113","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:35:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AdYPI8mVEHAB3PqAgQqriMVkhJrItfXjntcr4yDrORmSRPexhFDsEx1tyhDCckBhN9oyYHeASETjHhHkcGetDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:21:54.516671Z"},"content_sha256":"ddc9d0f60e6bf95258985cc45801bff221bc84780e2db75dbe950e77380d6e07","schema_version":"1.0","event_id":"sha256:ddc9d0f60e6bf95258985cc45801bff221bc84780e2db75dbe950e77380d6e07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KGKHMPIBR3VHUMBXFHC6YDNGHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conserved Correlation in PT -symmetric Systems: Scattering and Bound States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arun Jayannavar, Kumar Abhinav, P. K. Panigrahi","submitted_at":"2011-09-14T15:43:19Z","abstract_excerpt":"For one-dimensional PT -symmetric systems, it is observed that the non-local product obtained from the continuity equation can be interpreted as a conserved corre- lation function. This leads to physical conclusions, regarding both discrete and continuum states of such systems. Asymptotic states are shown to have necessarily broken PT -symmetry, leading to modified scattering and transfer matrices. This yields restricted boundary conditions, e.g., in- cidence from both sides, analogous to that of the proposed PT CPA laser. The interpretation of left and right states leads to a Hermitian S-matr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3113","kind":"arxiv","version":2},"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":"2026-05-18T03:35:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2AsH6wNqTYnUa7eS/kovnpLOEJ/4Y3vICs5R5saxk4giieGOR0OH3gB1zhCIs5SpAhxI0b5NZZvCBTo4LdPACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:21:54.517342Z"},"content_sha256":"83e28a66d95c40cacd1fd5e6113229ef5083ec01b76102d0104ec09968778e9f","schema_version":"1.0","event_id":"sha256:83e28a66d95c40cacd1fd5e6113229ef5083ec01b76102d0104ec09968778e9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ/bundle.json","state_url":"https://pith.science/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ/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":"2026-05-26T21:21:54Z","links":{"resolver":"https://pith.science/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ","bundle":"https://pith.science/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ/bundle.json","state":"https://pith.science/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KGKHMPIBR3VHUMBXFHC6YDNGHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KGKHMPIBR3VHUMBXFHC6YDNGHJ","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":"39d29e9e611b67e658512708887d786956ea4658da37a6da67f1b099a7c56ba2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T15:43:19Z","title_canon_sha256":"472fe4b3fd515ba67fa9c14edfb20da3a7b446224bee2c22186fd109dd297294"},"schema_version":"1.0","source":{"id":"1109.3113","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3113","created_at":"2026-05-18T03:35:41Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3113v2","created_at":"2026-05-18T03:35:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3113","created_at":"2026-05-18T03:35:41Z"},{"alias_kind":"pith_short_12","alias_value":"KGKHMPIBR3VH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KGKHMPIBR3VHUMBX","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KGKHMPIB","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:83e28a66d95c40cacd1fd5e6113229ef5083ec01b76102d0104ec09968778e9f","target":"graph","created_at":"2026-05-18T03:35:41Z","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":"For one-dimensional PT -symmetric systems, it is observed that the non-local product obtained from the continuity equation can be interpreted as a conserved corre- lation function. This leads to physical conclusions, regarding both discrete and continuum states of such systems. Asymptotic states are shown to have necessarily broken PT -symmetry, leading to modified scattering and transfer matrices. This yields restricted boundary conditions, e.g., in- cidence from both sides, analogous to that of the proposed PT CPA laser. The interpretation of left and right states leads to a Hermitian S-matr","authors_text":"Arun Jayannavar, Kumar Abhinav, P. K. Panigrahi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T15:43:19Z","title":"Conserved Correlation in PT -symmetric Systems: Scattering and Bound States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3113","kind":"arxiv","version":2},"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:ddc9d0f60e6bf95258985cc45801bff221bc84780e2db75dbe950e77380d6e07","target":"record","created_at":"2026-05-18T03:35:41Z","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":"39d29e9e611b67e658512708887d786956ea4658da37a6da67f1b099a7c56ba2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T15:43:19Z","title_canon_sha256":"472fe4b3fd515ba67fa9c14edfb20da3a7b446224bee2c22186fd109dd297294"},"schema_version":"1.0","source":{"id":"1109.3113","kind":"arxiv","version":2}},"canonical_sha256":"5194763d018eea7a303729c5ec0da63a732b813b4bd8d1b5c2e72c45a2b93f50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5194763d018eea7a303729c5ec0da63a732b813b4bd8d1b5c2e72c45a2b93f50","first_computed_at":"2026-05-18T03:35:41.339421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:41.339421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tH8DJa6ZHZ5qMDq1cmhS2EWX/yoH5W4RRA0ddFZ6/NZsPNQyeDORcWtIdu2PlBIHM1Q3C5U/6sAb2J+xwW7YBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:41.340142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3113","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddc9d0f60e6bf95258985cc45801bff221bc84780e2db75dbe950e77380d6e07","sha256:83e28a66d95c40cacd1fd5e6113229ef5083ec01b76102d0104ec09968778e9f"],"state_sha256":"6816a9fa66b2371f5aab7390e160e46a6ba26e368507632ea51cab91e38098d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wjYdKMbjmbM0vPpmF1TEjYKU2d4gxr95gBMc4vI88mAiELnZQyUT2KdueXa7Wuzw6e4yDsTfcW1qOQvD2GgdBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:21:54.520849Z","bundle_sha256":"9522f198755fed7915b79a9ab7630666955bfb5476e57ec2311eca5c3853a55b"}}