{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ESY444GVEZTUQMRXLYPJXAEQ3L","short_pith_number":"pith:ESY444GV","canonical_record":{"source":{"id":"1103.0625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T09:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"6d9d3821b060f1fc449727bcea0910b2b4b1f9e3e047185b38309405668ad80e","abstract_canon_sha256":"3657dc11ffdb8ea16694dcc33167e40ccc3080ebc6fe65aca2c08218cf297da1"},"schema_version":"1.0"},"canonical_sha256":"24b1ce70d526674832375e1e9b8090dac71d97727f8dcdc35119eb7177e8d3a2","source":{"kind":"arxiv","id":"1103.0625","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0625","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0625v2","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0625","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"pith_short_12","alias_value":"ESY444GVEZTU","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ESY444GVEZTUQMRX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ESY444GV","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ESY444GVEZTUQMRXLYPJXAEQ3L","target":"record","payload":{"canonical_record":{"source":{"id":"1103.0625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T09:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"6d9d3821b060f1fc449727bcea0910b2b4b1f9e3e047185b38309405668ad80e","abstract_canon_sha256":"3657dc11ffdb8ea16694dcc33167e40ccc3080ebc6fe65aca2c08218cf297da1"},"schema_version":"1.0"},"canonical_sha256":"24b1ce70d526674832375e1e9b8090dac71d97727f8dcdc35119eb7177e8d3a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:21.777941Z","signature_b64":"abVEsJGVdeW9lN/gHJwBWYHl8xhFrdlvB1iaBlekjwiYAZV6gCpctBvDRmQvDtdru8nr7w/FS50+P/l75KUqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24b1ce70d526674832375e1e9b8090dac71d97727f8dcdc35119eb7177e8d3a2","last_reissued_at":"2026-05-18T04:19:21.777511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:21.777511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.0625","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":"2026-05-18T04:19:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jokLtO+C6Lo/j2K14DwYe56VPJ92f16msqQffkWgAl03eNkmbU+ZYQLQd7kL3lwoYYUsM10bLp//+LjQFcxlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T02:21:33.000677Z"},"content_sha256":"548be8e698b51d53f06dde579eace0856db3c26d93bdbc1adbfe931d1f0ead4b","schema_version":"1.0","event_id":"sha256:548be8e698b51d53f06dde579eace0856db3c26d93bdbc1adbfe931d1f0ead4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ESY444GVEZTUQMRXLYPJXAEQ3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Entanglement and Quantum Discord of Two-Mode Gaussian States in a Thermal Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aurelian Isar","submitted_at":"2011-03-03T09:27:15Z","abstract_excerpt":"In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable quantum entanglement and quantum discord for a system consisting of two noninteracting modes embedded in a thermal environment. Entanglement and discord are used to quantify the quantum correlations of the system. For all values of the temperature of the thermal reservoir, an initial separable Gaussian state remains separable for all times. We study the time evolution of logarithmic negativity, which characterizes the degree of entanglement,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0625","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":"2026-05-18T04:19:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4XTvax/gBLIGyw06HIrYToB0+D0qbdxhcQhyyoT1QnEmUc+xOR2sQVJrFLwfpKxkfW1+e1r8nFVhSPQyrhGLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T02:21:33.001236Z"},"content_sha256":"82023e50f1eea23a7902546d8e997f009f65f0b954413a9ff62db4e183b2b45c","schema_version":"1.0","event_id":"sha256:82023e50f1eea23a7902546d8e997f009f65f0b954413a9ff62db4e183b2b45c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESY444GVEZTUQMRXLYPJXAEQ3L/bundle.json","state_url":"https://pith.science/pith/ESY444GVEZTUQMRXLYPJXAEQ3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESY444GVEZTUQMRXLYPJXAEQ3L/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":"2026-06-26T02:21:33Z","links":{"resolver":"https://pith.science/pith/ESY444GVEZTUQMRXLYPJXAEQ3L","bundle":"https://pith.science/pith/ESY444GVEZTUQMRXLYPJXAEQ3L/bundle.json","state":"https://pith.science/pith/ESY444GVEZTUQMRXLYPJXAEQ3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESY444GVEZTUQMRXLYPJXAEQ3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ESY444GVEZTUQMRXLYPJXAEQ3L","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":"3657dc11ffdb8ea16694dcc33167e40ccc3080ebc6fe65aca2c08218cf297da1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T09:27:15Z","title_canon_sha256":"6d9d3821b060f1fc449727bcea0910b2b4b1f9e3e047185b38309405668ad80e"},"schema_version":"1.0","source":{"id":"1103.0625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0625","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0625v2","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0625","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"pith_short_12","alias_value":"ESY444GVEZTU","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ESY444GVEZTUQMRX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ESY444GV","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:82023e50f1eea23a7902546d8e997f009f65f0b954413a9ff62db4e183b2b45c","target":"graph","created_at":"2026-05-18T04:19:21Z","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":"In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable quantum entanglement and quantum discord for a system consisting of two noninteracting modes embedded in a thermal environment. Entanglement and discord are used to quantify the quantum correlations of the system. For all values of the temperature of the thermal reservoir, an initial separable Gaussian state remains separable for all times. We study the time evolution of logarithmic negativity, which characterizes the degree of entanglement,","authors_text":"Aurelian Isar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T09:27:15Z","title":"Quantum Entanglement and Quantum Discord of Two-Mode Gaussian States in a Thermal Environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0625","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":"sha256:548be8e698b51d53f06dde579eace0856db3c26d93bdbc1adbfe931d1f0ead4b","target":"record","created_at":"2026-05-18T04:19:21Z","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":"3657dc11ffdb8ea16694dcc33167e40ccc3080ebc6fe65aca2c08218cf297da1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T09:27:15Z","title_canon_sha256":"6d9d3821b060f1fc449727bcea0910b2b4b1f9e3e047185b38309405668ad80e"},"schema_version":"1.0","source":{"id":"1103.0625","kind":"arxiv","version":2}},"canonical_sha256":"24b1ce70d526674832375e1e9b8090dac71d97727f8dcdc35119eb7177e8d3a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24b1ce70d526674832375e1e9b8090dac71d97727f8dcdc35119eb7177e8d3a2","first_computed_at":"2026-05-18T04:19:21.777511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:21.777511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"abVEsJGVdeW9lN/gHJwBWYHl8xhFrdlvB1iaBlekjwiYAZV6gCpctBvDRmQvDtdru8nr7w/FS50+P/l75KUqBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:21.777941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:548be8e698b51d53f06dde579eace0856db3c26d93bdbc1adbfe931d1f0ead4b","sha256:82023e50f1eea23a7902546d8e997f009f65f0b954413a9ff62db4e183b2b45c"],"state_sha256":"a0a364fe4798450b402ab34abe3545b7fd07f099a1988af6c446f371ab76537c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3kXKKfPkvbDhNkasswCxLt3V5RKJcpHP9nbXTcYlxHcnyLrLfnaq3BWeddfyaPHSENq2Rv/34azIZbl0k/vAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T02:21:33.004169Z","bundle_sha256":"4a4fb2e4a33ac191ebc1126c090944f5a68860fc29439130e8e0611da54cff99"}}