{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5ICXMYE34QW46CELHNMD7KUUAY","short_pith_number":"pith:5ICXMYE3","canonical_record":{"source":{"id":"1306.6301","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-26T17:56:43Z","cross_cats_sorted":[],"title_canon_sha256":"0f457305022e45e4be3942e2d08faa090cda772109db4b68649163df2e4cd24c","abstract_canon_sha256":"31da26370ac307b6edaa2342d12735ac2aca919d5d95aa9c75902876b6bb9d96"},"schema_version":"1.0"},"canonical_sha256":"ea0576609be42dcf088b3b583faa94060aab2f1c81ae9e50d0e39b030397e025","source":{"kind":"arxiv","id":"1306.6301","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6301","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6301v3","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6301","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"pith_short_12","alias_value":"5ICXMYE34QW4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5ICXMYE34QW46CEL","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5ICXMYE3","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5ICXMYE34QW46CELHNMD7KUUAY","target":"record","payload":{"canonical_record":{"source":{"id":"1306.6301","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-26T17:56:43Z","cross_cats_sorted":[],"title_canon_sha256":"0f457305022e45e4be3942e2d08faa090cda772109db4b68649163df2e4cd24c","abstract_canon_sha256":"31da26370ac307b6edaa2342d12735ac2aca919d5d95aa9c75902876b6bb9d96"},"schema_version":"1.0"},"canonical_sha256":"ea0576609be42dcf088b3b583faa94060aab2f1c81ae9e50d0e39b030397e025","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:07.549943Z","signature_b64":"jkCyrnXY22WPVovEO9jng5ayQNSGj+OaALEEQfohzJmIhXf2uKnC2ppY9ZwagxmdrS6Ol3klOyyFnnHsgaLsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea0576609be42dcf088b3b583faa94060aab2f1c81ae9e50d0e39b030397e025","last_reissued_at":"2026-05-18T01:49:07.549354Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:07.549354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.6301","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O2OnoqyaPpiiRUR1NlvqNKFxpQK0ACK1PlGUjH48xeIjEzvGLfbm9R8mji4whylR8otQLZMJnAzR7XPBEqWyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:27:04.510861Z"},"content_sha256":"7a4e3a0220a9d4647dd42718fd78c7223cdb0c0f2b68137c58b9f2579eaaf630","schema_version":"1.0","event_id":"sha256:7a4e3a0220a9d4647dd42718fd78c7223cdb0c0f2b68137c58b9f2579eaaf630"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5ICXMYE34QW46CELHNMD7KUUAY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of the rotating wave and secular approximations on non-Markovianity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"H. M\\\"akel\\\"a, M. M\\\"ott\\\"onen","submitted_at":"2013-06-26T17:56:43Z","abstract_excerpt":"We study the effect of the rotating-wave approximation (RWA) and the secular approximation (SA) on the non-Markovian behavior in the spin-boson model at zero-temperature. We find that both the RWA and SA lead to a dramatic reduction in the observed non-Markovianity. In general, non-Markovian dynamics is observed for the whole relaxation time of the system, whereas the RWA and SA lead to such dynamics only on the short time scale of the environmental correlation time. Thus, the RWA and SA are not necessarily justified in the studies of non-Markovianity although they can estimate the state of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6301","kind":"arxiv","version":3},"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":"2026-05-18T01:49:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HYs7oClS/8S5VxXJxvqeGQne4UNfNzdMYE8Lj9ATWbdvVrhvV39lpNtoDOsPYwvb39RzFQuNClrd/m53b5lVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:27:04.511257Z"},"content_sha256":"15c575aade79a4f36812d96d8305d2fe9e88326f8c2943c8e03270ebb3dc579a","schema_version":"1.0","event_id":"sha256:15c575aade79a4f36812d96d8305d2fe9e88326f8c2943c8e03270ebb3dc579a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ICXMYE34QW46CELHNMD7KUUAY/bundle.json","state_url":"https://pith.science/pith/5ICXMYE34QW46CELHNMD7KUUAY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ICXMYE34QW46CELHNMD7KUUAY/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":"2026-05-27T06:27:04Z","links":{"resolver":"https://pith.science/pith/5ICXMYE34QW46CELHNMD7KUUAY","bundle":"https://pith.science/pith/5ICXMYE34QW46CELHNMD7KUUAY/bundle.json","state":"https://pith.science/pith/5ICXMYE34QW46CELHNMD7KUUAY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ICXMYE34QW46CELHNMD7KUUAY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5ICXMYE34QW46CELHNMD7KUUAY","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":"31da26370ac307b6edaa2342d12735ac2aca919d5d95aa9c75902876b6bb9d96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-26T17:56:43Z","title_canon_sha256":"0f457305022e45e4be3942e2d08faa090cda772109db4b68649163df2e4cd24c"},"schema_version":"1.0","source":{"id":"1306.6301","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6301","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6301v3","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6301","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"pith_short_12","alias_value":"5ICXMYE34QW4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5ICXMYE34QW46CEL","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5ICXMYE3","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:15c575aade79a4f36812d96d8305d2fe9e88326f8c2943c8e03270ebb3dc579a","target":"graph","created_at":"2026-05-18T01:49:07Z","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 effect of the rotating-wave approximation (RWA) and the secular approximation (SA) on the non-Markovian behavior in the spin-boson model at zero-temperature. We find that both the RWA and SA lead to a dramatic reduction in the observed non-Markovianity. In general, non-Markovian dynamics is observed for the whole relaxation time of the system, whereas the RWA and SA lead to such dynamics only on the short time scale of the environmental correlation time. Thus, the RWA and SA are not necessarily justified in the studies of non-Markovianity although they can estimate the state of th","authors_text":"H. M\\\"akel\\\"a, M. M\\\"ott\\\"onen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-26T17:56:43Z","title":"Effects of the rotating wave and secular approximations on non-Markovianity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6301","kind":"arxiv","version":3},"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":"sha256:7a4e3a0220a9d4647dd42718fd78c7223cdb0c0f2b68137c58b9f2579eaaf630","target":"record","created_at":"2026-05-18T01:49:07Z","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":"31da26370ac307b6edaa2342d12735ac2aca919d5d95aa9c75902876b6bb9d96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-26T17:56:43Z","title_canon_sha256":"0f457305022e45e4be3942e2d08faa090cda772109db4b68649163df2e4cd24c"},"schema_version":"1.0","source":{"id":"1306.6301","kind":"arxiv","version":3}},"canonical_sha256":"ea0576609be42dcf088b3b583faa94060aab2f1c81ae9e50d0e39b030397e025","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea0576609be42dcf088b3b583faa94060aab2f1c81ae9e50d0e39b030397e025","first_computed_at":"2026-05-18T01:49:07.549354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:07.549354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jkCyrnXY22WPVovEO9jng5ayQNSGj+OaALEEQfohzJmIhXf2uKnC2ppY9ZwagxmdrS6Ol3klOyyFnnHsgaLsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:07.549943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.6301","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a4e3a0220a9d4647dd42718fd78c7223cdb0c0f2b68137c58b9f2579eaaf630","sha256:15c575aade79a4f36812d96d8305d2fe9e88326f8c2943c8e03270ebb3dc579a"],"state_sha256":"02b06a41edf9b3d2add789a84034a3053c531fd5237df144ba19332feffda074"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rjSLI/FWiObynpzpyMau4DDPXLM+qYA4l2oFRBE2euLP60m6MNHwYC7zV0nqkaWImBJxxsZOgq6lBi1WUIg/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T06:27:04.514245Z","bundle_sha256":"6cbe7b7b5e723973d2524f0f3a4fa8b668b97c42b0addfc19e9332132ca73a11"}}