{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:IM6XV6YPCWR3T64UIAIMO6M2HZ","short_pith_number":"pith:IM6XV6YP","canonical_record":{"source":{"id":"quant-ph/0610007","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-01T18:44:49Z","cross_cats_sorted":[],"title_canon_sha256":"adbc4038cdc1c05aafad25cef2deb0e7df4e8afd6345aef11df950bb70968976","abstract_canon_sha256":"d485245b8abdde58a13da61b20a408234c9cd135b21591cf3f5d4d3a26a3bca8"},"schema_version":"1.0"},"canonical_sha256":"433d7afb0f15a3b9fb944010c7799a3e5c6be91266ebadf9269ec3c4acbbdaf9","source":{"kind":"arxiv","id":"quant-ph/0610007","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0610007","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610007v2","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610007","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"IM6XV6YPCWR3","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"pith_short_16","alias_value":"IM6XV6YPCWR3T64U","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"pith_short_8","alias_value":"IM6XV6YP","created_at":"2026-07-04T14:59:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:IM6XV6YPCWR3T64UIAIMO6M2HZ","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0610007","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-01T18:44:49Z","cross_cats_sorted":[],"title_canon_sha256":"adbc4038cdc1c05aafad25cef2deb0e7df4e8afd6345aef11df950bb70968976","abstract_canon_sha256":"d485245b8abdde58a13da61b20a408234c9cd135b21591cf3f5d4d3a26a3bca8"},"schema_version":"1.0"},"canonical_sha256":"433d7afb0f15a3b9fb944010c7799a3e5c6be91266ebadf9269ec3c4acbbdaf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:59:09.704254Z","signature_b64":"6rkgcA/rOdEONg/jxFdniT45n0XXhoeJNxmP4TRpVfhN4UeHTaemF6H4ryui52rfw2qZ8OeRPY8ASplC+tVPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"433d7afb0f15a3b9fb944010c7799a3e5c6be91266ebadf9269ec3c4acbbdaf9","last_reissued_at":"2026-07-04T14:59:09.703857Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:59:09.703857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0610007","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":"2026-07-04T14:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YNKN+RLAjppAopssbf9qH44NIm2B4NP3Den6HkAo8gZ7Toanzr/x3FAsYNu6855+yPfIgJECmbhHQB+rUtjtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:32:11.955920Z"},"content_sha256":"469f3045fb161fb998746ef5de36639c61ec4abe3c486e57637fd6d9522a4e2d","schema_version":"1.0","event_id":"sha256:469f3045fb161fb998746ef5de36639c61ec4abe3c486e57637fd6d9522a4e2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:IM6XV6YPCWR3T64UIAIMO6M2HZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Entanglement under Non-Markovian Dynamics of Two Qubits Interacting with a common Electromagnetic Field","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. L. Hu, C. Anastopoulos, S. Shresta","submitted_at":"2006-10-01T18:44:49Z","abstract_excerpt":"We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak coupling assumption, but no Born or Markov approximation. We derived a non-Markovian master equation for the evolution of the reduced density matrix of the two-qubit system after integrating out the electromagnetic field modes. It contains a Markovian part with a Lindblad type operator and a nonMarkovian contribution, the physics of which is the main focus of this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610007","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0610007/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCjNZpEIRtaCvfMXwJuTM+6QXZHmqpT2yExwdTAXP7ecPmUW669eq1w7muNX6/rieYvQ/CrR6/IdnsKs+6MWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:32:11.956296Z"},"content_sha256":"0292ef01849b9f468bb5978b0621fd09d80d68ea7b2770303570f90da794580b","schema_version":"1.0","event_id":"sha256:0292ef01849b9f468bb5978b0621fd09d80d68ea7b2770303570f90da794580b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ/bundle.json","state_url":"https://pith.science/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ/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":"2026-07-07T11:32:11Z","links":{"resolver":"https://pith.science/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ","bundle":"https://pith.science/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ/bundle.json","state":"https://pith.science/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IM6XV6YPCWR3T64UIAIMO6M2HZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:IM6XV6YPCWR3T64UIAIMO6M2HZ","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":"d485245b8abdde58a13da61b20a408234c9cd135b21591cf3f5d4d3a26a3bca8","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-01T18:44:49Z","title_canon_sha256":"adbc4038cdc1c05aafad25cef2deb0e7df4e8afd6345aef11df950bb70968976"},"schema_version":"1.0","source":{"id":"quant-ph/0610007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0610007","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610007v2","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610007","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"IM6XV6YPCWR3","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"pith_short_16","alias_value":"IM6XV6YPCWR3T64U","created_at":"2026-07-04T14:59:09Z"},{"alias_kind":"pith_short_8","alias_value":"IM6XV6YP","created_at":"2026-07-04T14:59:09Z"}],"graph_snapshots":[{"event_id":"sha256:0292ef01849b9f468bb5978b0621fd09d80d68ea7b2770303570f90da794580b","target":"graph","created_at":"2026-07-04T14:59:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0610007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak coupling assumption, but no Born or Markov approximation. We derived a non-Markovian master equation for the evolution of the reduced density matrix of the two-qubit system after integrating out the electromagnetic field modes. It contains a Markovian part with a Lindblad type operator and a nonMarkovian contribution, the physics of which is the main focus of this","authors_text":"B. L. Hu, C. Anastopoulos, S. Shresta","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-10-01T18:44:49Z","title":"Quantum Entanglement under Non-Markovian Dynamics of Two Qubits Interacting with a common Electromagnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610007","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":"sha256:469f3045fb161fb998746ef5de36639c61ec4abe3c486e57637fd6d9522a4e2d","target":"record","created_at":"2026-07-04T14:59:09Z","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":"d485245b8abdde58a13da61b20a408234c9cd135b21591cf3f5d4d3a26a3bca8","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-01T18:44:49Z","title_canon_sha256":"adbc4038cdc1c05aafad25cef2deb0e7df4e8afd6345aef11df950bb70968976"},"schema_version":"1.0","source":{"id":"quant-ph/0610007","kind":"arxiv","version":2}},"canonical_sha256":"433d7afb0f15a3b9fb944010c7799a3e5c6be91266ebadf9269ec3c4acbbdaf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"433d7afb0f15a3b9fb944010c7799a3e5c6be91266ebadf9269ec3c4acbbdaf9","first_computed_at":"2026-07-04T14:59:09.703857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:59:09.703857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6rkgcA/rOdEONg/jxFdniT45n0XXhoeJNxmP4TRpVfhN4UeHTaemF6H4ryui52rfw2qZ8OeRPY8ASplC+tVPAg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:59:09.704254Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0610007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:469f3045fb161fb998746ef5de36639c61ec4abe3c486e57637fd6d9522a4e2d","sha256:0292ef01849b9f468bb5978b0621fd09d80d68ea7b2770303570f90da794580b"],"state_sha256":"1e81dcbf8876c958cc399a6669101315d96d313796ade0aa8edc7544c007fcc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhx1NHivg6O/o1z7MSOiHmT4WadmvSk5RrXNFYoevJui/BVh9mQyyhbWvO0GZeE78DWcBy8O0SSlF7jgcS2ZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T11:32:11.958300Z","bundle_sha256":"11ae79781100c2ef7714ffb2141547abca1443d00981a9ddb9c2d03a557c82b3"}}