{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MDMHBORA4Y6SJ3FCU6PBXJAQRX","short_pith_number":"pith:MDMHBORA","canonical_record":{"source":{"id":"1603.04630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-15T10:47:09Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"f87e47caa9479c0eb25adc279a2767eaaff7500bff8818dbedb31bef5dd6c83b","abstract_canon_sha256":"b57ae23b1f269c0c7f501b44630b79215b7043c8d93b1641d260f1f86c1ac061"},"schema_version":"1.0"},"canonical_sha256":"60d870ba20e63d24eca2a79e1ba4108df6236911c6b41ea056b5ee5e038712e3","source":{"kind":"arxiv","id":"1603.04630","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04630","created_at":"2026-05-18T01:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04630v1","created_at":"2026-05-18T01:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04630","created_at":"2026-05-18T01:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"MDMHBORA4Y6S","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MDMHBORA4Y6SJ3FC","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MDMHBORA","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MDMHBORA4Y6SJ3FCU6PBXJAQRX","target":"record","payload":{"canonical_record":{"source":{"id":"1603.04630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-15T10:47:09Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"f87e47caa9479c0eb25adc279a2767eaaff7500bff8818dbedb31bef5dd6c83b","abstract_canon_sha256":"b57ae23b1f269c0c7f501b44630b79215b7043c8d93b1641d260f1f86c1ac061"},"schema_version":"1.0"},"canonical_sha256":"60d870ba20e63d24eca2a79e1ba4108df6236911c6b41ea056b5ee5e038712e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:04.316223Z","signature_b64":"qqycuuuZW0M/a0MeTHWdqULxDbGKr/NKDoGeEm0IM3ucj0fFLt7jECqinTpL+LzPDePuJ7FEmhHIX8ZthQmJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60d870ba20e63d24eca2a79e1ba4108df6236911c6b41ea056b5ee5e038712e3","last_reissued_at":"2026-05-18T01:19:04.315703Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:04.315703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.04630","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":"2026-05-18T01:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zV0mIq82WB95ITWnQlUjl4s+SzB0VRKGnJfZRiTcB4qZGBQTIbhi3KgykT0WLKJ0rm5W2F3JAwJTL3XpCXmQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:11:04.789575Z"},"content_sha256":"6605e008c51de68abf97656a45b912b1af9f4b9492e54876da9c42e058409783","schema_version":"1.0","event_id":"sha256:6605e008c51de68abf97656a45b912b1af9f4b9492e54876da9c42e058409783"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MDMHBORA4Y6SJ3FCU6PBXJAQRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adiabatic elimination for open quantum systems with effective Lindblad master equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"quant-ph","authors_text":"Alain Sarlette, Pierre Rouchon, Remi Azouit","submitted_at":"2016-03-15T10:47:09Z","abstract_excerpt":"We consider an open quantum system described by a Lindblad-type master equation with two times-scales. The fast time-scale is strongly dissipative and drives the system towards a low-dimensional decoherence-free space. To perform the adiabatic elimination of this fast relaxation, we propose a geometric asymptotic expansion based on the small positive parameter describing the time-scale separation. This expansion exploits geometric singular perturbation theory and center-manifold techniques. We conjecture that, at any order, it provides an effective slow Lindblad master equation and a completel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04630","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":"2026-05-18T01:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"23UOY5vKk6KKe+8ZJyjhlrIYw0wfKow7+txZqfennBjFcXcqT5i84cx2bJ21pcPBJYacCTyFNcCbgc8nerjrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:11:04.789922Z"},"content_sha256":"9d46fef325a0e45c562c851ecb4aed1b7c813c64f52151b25dc7d8cfa018b61b","schema_version":"1.0","event_id":"sha256:9d46fef325a0e45c562c851ecb4aed1b7c813c64f52151b25dc7d8cfa018b61b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX/bundle.json","state_url":"https://pith.science/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX/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":"2026-06-23T02:11:04Z","links":{"resolver":"https://pith.science/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX","bundle":"https://pith.science/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX/bundle.json","state":"https://pith.science/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDMHBORA4Y6SJ3FCU6PBXJAQRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MDMHBORA4Y6SJ3FCU6PBXJAQRX","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":"b57ae23b1f269c0c7f501b44630b79215b7043c8d93b1641d260f1f86c1ac061","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-15T10:47:09Z","title_canon_sha256":"f87e47caa9479c0eb25adc279a2767eaaff7500bff8818dbedb31bef5dd6c83b"},"schema_version":"1.0","source":{"id":"1603.04630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04630","created_at":"2026-05-18T01:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04630v1","created_at":"2026-05-18T01:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04630","created_at":"2026-05-18T01:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"MDMHBORA4Y6S","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MDMHBORA4Y6SJ3FC","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MDMHBORA","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:9d46fef325a0e45c562c851ecb4aed1b7c813c64f52151b25dc7d8cfa018b61b","target":"graph","created_at":"2026-05-18T01:19:04Z","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 consider an open quantum system described by a Lindblad-type master equation with two times-scales. The fast time-scale is strongly dissipative and drives the system towards a low-dimensional decoherence-free space. To perform the adiabatic elimination of this fast relaxation, we propose a geometric asymptotic expansion based on the small positive parameter describing the time-scale separation. This expansion exploits geometric singular perturbation theory and center-manifold techniques. We conjecture that, at any order, it provides an effective slow Lindblad master equation and a completel","authors_text":"Alain Sarlette, Pierre Rouchon, Remi Azouit","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-15T10:47:09Z","title":"Adiabatic elimination for open quantum systems with effective Lindblad master equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04630","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":"sha256:6605e008c51de68abf97656a45b912b1af9f4b9492e54876da9c42e058409783","target":"record","created_at":"2026-05-18T01:19:04Z","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":"b57ae23b1f269c0c7f501b44630b79215b7043c8d93b1641d260f1f86c1ac061","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-15T10:47:09Z","title_canon_sha256":"f87e47caa9479c0eb25adc279a2767eaaff7500bff8818dbedb31bef5dd6c83b"},"schema_version":"1.0","source":{"id":"1603.04630","kind":"arxiv","version":1}},"canonical_sha256":"60d870ba20e63d24eca2a79e1ba4108df6236911c6b41ea056b5ee5e038712e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60d870ba20e63d24eca2a79e1ba4108df6236911c6b41ea056b5ee5e038712e3","first_computed_at":"2026-05-18T01:19:04.315703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:04.315703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qqycuuuZW0M/a0MeTHWdqULxDbGKr/NKDoGeEm0IM3ucj0fFLt7jECqinTpL+LzPDePuJ7FEmhHIX8ZthQmJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:04.316223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6605e008c51de68abf97656a45b912b1af9f4b9492e54876da9c42e058409783","sha256:9d46fef325a0e45c562c851ecb4aed1b7c813c64f52151b25dc7d8cfa018b61b"],"state_sha256":"36ecb230650b52f016be4f087412aeee361afe7357fdd1e1cdd51de258a6826c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RGnwsWGruxYwa4JC7t34438hHydvz0XdTyloFFHNhMd/0RCpUoknC3xBmJcKNov5ZyvVlQ6uxOJjjsT0FcUJDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T02:11:04.792772Z","bundle_sha256":"22e94d83a93157f55602ca0811d1dbe61a3eb9db1bbd6f3c1e9ff3b1b3beea6f"}}