{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:RRLQRPGMPTKZRBKV6T2WINKUYR","short_pith_number":"pith:RRLQRPGM","canonical_record":{"source":{"id":"1002.0973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-04T12:10:35Z","cross_cats_sorted":[],"title_canon_sha256":"97854a02a3fd09f964e634177ad538133e125ed67175bdc9ecdb57df8de4bcb6","abstract_canon_sha256":"cebc3dd855d133062d9219fdc8e176d4e6f76882ba05af9a0d230cfa20a2cb1f"},"schema_version":"1.0"},"canonical_sha256":"8c5708bccc7cd5988555f4f5643554c44846adcf35b4024add9627de51037e7a","source":{"kind":"arxiv","id":"1002.0973","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0973","created_at":"2026-05-18T02:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0973v1","created_at":"2026-05-18T02:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0973","created_at":"2026-05-18T02:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"RRLQRPGMPTKZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RRLQRPGMPTKZRBKV","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RRLQRPGM","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:RRLQRPGMPTKZRBKV6T2WINKUYR","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-04T12:10:35Z","cross_cats_sorted":[],"title_canon_sha256":"97854a02a3fd09f964e634177ad538133e125ed67175bdc9ecdb57df8de4bcb6","abstract_canon_sha256":"cebc3dd855d133062d9219fdc8e176d4e6f76882ba05af9a0d230cfa20a2cb1f"},"schema_version":"1.0"},"canonical_sha256":"8c5708bccc7cd5988555f4f5643554c44846adcf35b4024add9627de51037e7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:19.629437Z","signature_b64":"EuvFdJ2mLu4RsWv2szCCgayaJfE4jcgFny8ZThA1JB9m12+8iFPqvi9ueD5x7H9NhxWRnDiBml5IYqFYMN6WDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c5708bccc7cd5988555f4f5643554c44846adcf35b4024add9627de51037e7a","last_reissued_at":"2026-05-18T02:09:19.628600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:19.628600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0973","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":"2026-05-18T02:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HNlpa5Eiw8AA78MyEYpTM1Vwec+Zu1YMtfCSy5sutL1z2DMIuHHRn/rP2Exr40R6WwHTVKut37aHTlE7pIx/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:40:46.830046Z"},"content_sha256":"e2792d323774eadcd35ac3bc11a63f259596fe74072bcff529c6f1be39bd8f8f","schema_version":"1.0","event_id":"sha256:e2792d323774eadcd35ac3bc11a63f259596fe74072bcff529c6f1be39bd8f8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:RRLQRPGMPTKZRBKV6T2WINKUYR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement dynamics for two harmonic oscillators coupled to independent environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"R. Vasile","submitted_at":"2010-02-04T12:10:35Z","abstract_excerpt":"We study the entanglement evolution between two harmonic oscillators having different free frequencies each leaking into an independent bath. We use an exact solution valid in the weak coupling limit and in the short time non-Markovian regime. The reservoirs are identical and characterized by an Ohmic spectral distribution with Lorents-Drude cut-off. This work is an extension of the case reported in [Phys. Rev. A 80, 062324 (2009)] where the oscillators have the same free frequency."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0973","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":"2026-05-18T02:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OBAKP1LGGeZnRSa46p+9+69U9djJ7GBkAWgDIcJGIrJkXvbvwiuW/KmnwPwj1U+sN+YkHB5VDgNpM0cJZukvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:40:46.830594Z"},"content_sha256":"05716f17699e509a80c7dbff1fd0dff23f9497f6d14511e3901c2090c9f3451d","schema_version":"1.0","event_id":"sha256:05716f17699e509a80c7dbff1fd0dff23f9497f6d14511e3901c2090c9f3451d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRLQRPGMPTKZRBKV6T2WINKUYR/bundle.json","state_url":"https://pith.science/pith/RRLQRPGMPTKZRBKV6T2WINKUYR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRLQRPGMPTKZRBKV6T2WINKUYR/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":"2026-05-25T17:40:46Z","links":{"resolver":"https://pith.science/pith/RRLQRPGMPTKZRBKV6T2WINKUYR","bundle":"https://pith.science/pith/RRLQRPGMPTKZRBKV6T2WINKUYR/bundle.json","state":"https://pith.science/pith/RRLQRPGMPTKZRBKV6T2WINKUYR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRLQRPGMPTKZRBKV6T2WINKUYR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RRLQRPGMPTKZRBKV6T2WINKUYR","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":"cebc3dd855d133062d9219fdc8e176d4e6f76882ba05af9a0d230cfa20a2cb1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-04T12:10:35Z","title_canon_sha256":"97854a02a3fd09f964e634177ad538133e125ed67175bdc9ecdb57df8de4bcb6"},"schema_version":"1.0","source":{"id":"1002.0973","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0973","created_at":"2026-05-18T02:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0973v1","created_at":"2026-05-18T02:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0973","created_at":"2026-05-18T02:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"RRLQRPGMPTKZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RRLQRPGMPTKZRBKV","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RRLQRPGM","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:05716f17699e509a80c7dbff1fd0dff23f9497f6d14511e3901c2090c9f3451d","target":"graph","created_at":"2026-05-18T02:09:19Z","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 study the entanglement evolution between two harmonic oscillators having different free frequencies each leaking into an independent bath. We use an exact solution valid in the weak coupling limit and in the short time non-Markovian regime. The reservoirs are identical and characterized by an Ohmic spectral distribution with Lorents-Drude cut-off. This work is an extension of the case reported in [Phys. Rev. A 80, 062324 (2009)] where the oscillators have the same free frequency.","authors_text":"R. Vasile","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-04T12:10:35Z","title":"Entanglement dynamics for two harmonic oscillators coupled to independent environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0973","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:e2792d323774eadcd35ac3bc11a63f259596fe74072bcff529c6f1be39bd8f8f","target":"record","created_at":"2026-05-18T02:09:19Z","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":"cebc3dd855d133062d9219fdc8e176d4e6f76882ba05af9a0d230cfa20a2cb1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-04T12:10:35Z","title_canon_sha256":"97854a02a3fd09f964e634177ad538133e125ed67175bdc9ecdb57df8de4bcb6"},"schema_version":"1.0","source":{"id":"1002.0973","kind":"arxiv","version":1}},"canonical_sha256":"8c5708bccc7cd5988555f4f5643554c44846adcf35b4024add9627de51037e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c5708bccc7cd5988555f4f5643554c44846adcf35b4024add9627de51037e7a","first_computed_at":"2026-05-18T02:09:19.628600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:19.628600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EuvFdJ2mLu4RsWv2szCCgayaJfE4jcgFny8ZThA1JB9m12+8iFPqvi9ueD5x7H9NhxWRnDiBml5IYqFYMN6WDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:19.629437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0973","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2792d323774eadcd35ac3bc11a63f259596fe74072bcff529c6f1be39bd8f8f","sha256:05716f17699e509a80c7dbff1fd0dff23f9497f6d14511e3901c2090c9f3451d"],"state_sha256":"9d3b038b030ccae664c59fcb063d2012fd665ab469720f8234dc758c4f8a5bda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mczdnPpcdb6XNi10e2cI1eHpCb8TvGdwx5eO7L/n2ce0+uysjo59g+1PvGwaEoO5wpdYJsc7BOY8NRhenm6UCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:40:46.834245Z","bundle_sha256":"829a95c3eabb3ba257ba18c3c304af62b14c58e5746d1d5a8ef5f7c1f6c704a9"}}