{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:W62K3WASXUONGDX2SA7ALW4HVU","short_pith_number":"pith:W62K3WAS","canonical_record":{"source":{"id":"1311.0018","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-31T20:07:05Z","cross_cats_sorted":[],"title_canon_sha256":"fec78250c0ced7f875c31668caf93fe75d16918bc18a2899b48554851ca89cb5","abstract_canon_sha256":"1b4c3cdaf40ccd19396fe0583e0c20f4be79166278cfbae63937d1264446d5e3"},"schema_version":"1.0"},"canonical_sha256":"b7b4add812bd1cd30efa903e05db87ad1d4d2c3664ae3c7814f4b13d32cc9f17","source":{"kind":"arxiv","id":"1311.0018","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0018","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0018v2","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0018","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"W62K3WASXUON","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W62K3WASXUONGDX2","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W62K3WAS","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:W62K3WASXUONGDX2SA7ALW4HVU","target":"record","payload":{"canonical_record":{"source":{"id":"1311.0018","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-31T20:07:05Z","cross_cats_sorted":[],"title_canon_sha256":"fec78250c0ced7f875c31668caf93fe75d16918bc18a2899b48554851ca89cb5","abstract_canon_sha256":"1b4c3cdaf40ccd19396fe0583e0c20f4be79166278cfbae63937d1264446d5e3"},"schema_version":"1.0"},"canonical_sha256":"b7b4add812bd1cd30efa903e05db87ad1d4d2c3664ae3c7814f4b13d32cc9f17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:51.735235Z","signature_b64":"zt31IuTJHNgvAbLJ5t9lA+8xC68gCQpd1YSafRd16z/CCdQIU+fdL3eoOC1ZGj8yp3ncWz1cwBkTAXVhRinvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7b4add812bd1cd30efa903e05db87ad1d4d2c3664ae3c7814f4b13d32cc9f17","last_reissued_at":"2026-05-18T02:56:51.734814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:51.734814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.0018","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":"2026-05-18T02:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Is3EHvrlXGkI5V/AWBx4MklIHX7a9UEbiPmJKcrkjTqJp5+6m9ijpDFeMlykRDJNYjDEi9zN0aWVlmEYzTkGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:47:17.395159Z"},"content_sha256":"4bd420e8f72945e1e5098e832146e7bca97d676e20d2619ee29d88498915fce4","schema_version":"1.0","event_id":"sha256:4bd420e8f72945e1e5098e832146e7bca97d676e20d2619ee29d88498915fce4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:W62K3WASXUONGDX2SA7ALW4HVU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Master equation for dissipative interacting qubits in a common environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"F. L. Semi\\~ao, J. P. Santos","submitted_at":"2013-10-31T20:07:05Z","abstract_excerpt":"In this paper, we derive a microscopic master equation for a pair of XY-coupled two-level systems interacting with the same memoryless reservoir. In particular, we apply this master equation to the case of a pair of two-level atoms in free space where we can clearly contrast the predictions made with the microscopic master equation obtained here and the phenomenological approaches where the atom-atom coupling is included just \\textit{a posteriori}, i.e, not taking into account in the derivation of the open system equation of motion. We show, for instance, that the phenomenological approach fai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0018","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":"2026-05-18T02:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UyD3RRCgZjI+/LHWhrD7wB6cGG0JPACi94U35XcWCDUyHMKtDdxn45y1vt4X7sQXUVd0/Z1OHAd9zOzxdoRvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:47:17.395758Z"},"content_sha256":"9f2256e0929f483a4f7448fa282747d5f0213548571e6b0c253d29eaa3f9aee0","schema_version":"1.0","event_id":"sha256:9f2256e0929f483a4f7448fa282747d5f0213548571e6b0c253d29eaa3f9aee0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W62K3WASXUONGDX2SA7ALW4HVU/bundle.json","state_url":"https://pith.science/pith/W62K3WASXUONGDX2SA7ALW4HVU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W62K3WASXUONGDX2SA7ALW4HVU/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":"2026-06-05T17:47:17Z","links":{"resolver":"https://pith.science/pith/W62K3WASXUONGDX2SA7ALW4HVU","bundle":"https://pith.science/pith/W62K3WASXUONGDX2SA7ALW4HVU/bundle.json","state":"https://pith.science/pith/W62K3WASXUONGDX2SA7ALW4HVU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W62K3WASXUONGDX2SA7ALW4HVU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W62K3WASXUONGDX2SA7ALW4HVU","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":"1b4c3cdaf40ccd19396fe0583e0c20f4be79166278cfbae63937d1264446d5e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-31T20:07:05Z","title_canon_sha256":"fec78250c0ced7f875c31668caf93fe75d16918bc18a2899b48554851ca89cb5"},"schema_version":"1.0","source":{"id":"1311.0018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0018","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0018v2","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0018","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"W62K3WASXUON","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W62K3WASXUONGDX2","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W62K3WAS","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:9f2256e0929f483a4f7448fa282747d5f0213548571e6b0c253d29eaa3f9aee0","target":"graph","created_at":"2026-05-18T02:56:51Z","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 this paper, we derive a microscopic master equation for a pair of XY-coupled two-level systems interacting with the same memoryless reservoir. In particular, we apply this master equation to the case of a pair of two-level atoms in free space where we can clearly contrast the predictions made with the microscopic master equation obtained here and the phenomenological approaches where the atom-atom coupling is included just \\textit{a posteriori}, i.e, not taking into account in the derivation of the open system equation of motion. We show, for instance, that the phenomenological approach fai","authors_text":"F. L. Semi\\~ao, J. P. Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-31T20:07:05Z","title":"Master equation for dissipative interacting qubits in a common environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0018","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":"sha256:4bd420e8f72945e1e5098e832146e7bca97d676e20d2619ee29d88498915fce4","target":"record","created_at":"2026-05-18T02:56:51Z","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":"1b4c3cdaf40ccd19396fe0583e0c20f4be79166278cfbae63937d1264446d5e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-31T20:07:05Z","title_canon_sha256":"fec78250c0ced7f875c31668caf93fe75d16918bc18a2899b48554851ca89cb5"},"schema_version":"1.0","source":{"id":"1311.0018","kind":"arxiv","version":2}},"canonical_sha256":"b7b4add812bd1cd30efa903e05db87ad1d4d2c3664ae3c7814f4b13d32cc9f17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7b4add812bd1cd30efa903e05db87ad1d4d2c3664ae3c7814f4b13d32cc9f17","first_computed_at":"2026-05-18T02:56:51.734814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:51.734814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zt31IuTJHNgvAbLJ5t9lA+8xC68gCQpd1YSafRd16z/CCdQIU+fdL3eoOC1ZGj8yp3ncWz1cwBkTAXVhRinvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:51.735235Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bd420e8f72945e1e5098e832146e7bca97d676e20d2619ee29d88498915fce4","sha256:9f2256e0929f483a4f7448fa282747d5f0213548571e6b0c253d29eaa3f9aee0"],"state_sha256":"ed1a88ebbbf50223d12067d2fda357dca0fcd13a70058f7b247915f6a060bcbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMtddfbFlSc7LJqL0NSc57IzIV4eRguDIXCEPH71i37/YHJhF1xeSt2bcFDUteRuRnoKXEndp0xUCA8DKysYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T17:47:17.399569Z","bundle_sha256":"1abaef280f6aa40fd6ff1565037c1b3c68c6f23ea173e32cd9dcde26c50d8ecb"}}