{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:U6GPIICQES2NHOBYXZULIJDXTC","short_pith_number":"pith:U6GPIICQ","canonical_record":{"source":{"id":"1504.00139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T08:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"238a76ae2ff150ce156d4fbed6df685b2bb4ec2df417d6464cfe788843607883","abstract_canon_sha256":"b9fbd8469c4c5728a07598c46eab015f2a7257a4493b13935ff1f34c64f56fa6"},"schema_version":"1.0"},"canonical_sha256":"a78cf4205024b4d3b838be68b4247798b50892038e4306b278628ee9d03e9a00","source":{"kind":"arxiv","id":"1504.00139","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00139","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00139v2","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00139","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"U6GPIICQES2N","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"U6GPIICQES2NHOBY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"U6GPIICQ","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:U6GPIICQES2NHOBYXZULIJDXTC","target":"record","payload":{"canonical_record":{"source":{"id":"1504.00139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T08:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"238a76ae2ff150ce156d4fbed6df685b2bb4ec2df417d6464cfe788843607883","abstract_canon_sha256":"b9fbd8469c4c5728a07598c46eab015f2a7257a4493b13935ff1f34c64f56fa6"},"schema_version":"1.0"},"canonical_sha256":"a78cf4205024b4d3b838be68b4247798b50892038e4306b278628ee9d03e9a00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:41.084489Z","signature_b64":"VxsHapN6Azljg94wsQpNkxUKPUR4F8Xftt903igoeSpN/cF82bo5H6FmejUDUxngP4sCCUMrq8rf//NbwcV0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a78cf4205024b4d3b838be68b4247798b50892038e4306b278628ee9d03e9a00","last_reissued_at":"2026-05-18T02:09:41.083753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:41.083753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.00139","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":"2026-05-18T02:09:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nMQhc+4/a6yo95/oWt/1pmvpggKdcWWblGUVs6mveujO89Ocjfk72ItT/zoiHYD8QOXLzSRmfFNNmQaNL38jAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:23:29.634098Z"},"content_sha256":"e083f2653f56095134c6d98620367ccd6093347ed72e124b1b48946f3302dd74","schema_version":"1.0","event_id":"sha256:e083f2653f56095134c6d98620367ccd6093347ed72e124b1b48946f3302dd74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:U6GPIICQES2NHOBYXZULIJDXTC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pseudomodes and the corresponding transformation of the temperature-dependent bath correlation function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alexander Croy, Alexander Eisfeld, David W. Sch\\\"onleber","submitted_at":"2015-04-01T08:24:19Z","abstract_excerpt":"In open system approaches with non-Markovian environments, the process of inserting an individual mode (denoted as \"pseudomode\") into the bath or extracting it from the bath is widely employed. This procedure, however, is typically performed on basis of the spectral density (SD) and does not incorporate temperature. Here, we show how the - temperature-dependent - bath correlation function (BCF) transforms in such a process. We present analytic formulae for the transformed BCF and numerically study the differences between factorizing initial state and global thermal (correlated) initial state o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00139","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":"2026-05-18T02:09:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/uh9vx1D0kO+HU1sCHKmWXz89KCu0VexJWzQyRpadboQ7/ecDa5mtH1zKhaGH3Y/CZaPYRunSfjTt8QiFYIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:23:29.634454Z"},"content_sha256":"5782cb8dd058e0d16a1aa3da09f21d24c5d99edb17989cb179e79f4c128ea880","schema_version":"1.0","event_id":"sha256:5782cb8dd058e0d16a1aa3da09f21d24c5d99edb17989cb179e79f4c128ea880"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6GPIICQES2NHOBYXZULIJDXTC/bundle.json","state_url":"https://pith.science/pith/U6GPIICQES2NHOBYXZULIJDXTC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6GPIICQES2NHOBYXZULIJDXTC/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":"2026-06-02T05:23:29Z","links":{"resolver":"https://pith.science/pith/U6GPIICQES2NHOBYXZULIJDXTC","bundle":"https://pith.science/pith/U6GPIICQES2NHOBYXZULIJDXTC/bundle.json","state":"https://pith.science/pith/U6GPIICQES2NHOBYXZULIJDXTC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6GPIICQES2NHOBYXZULIJDXTC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:U6GPIICQES2NHOBYXZULIJDXTC","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":"b9fbd8469c4c5728a07598c46eab015f2a7257a4493b13935ff1f34c64f56fa6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T08:24:19Z","title_canon_sha256":"238a76ae2ff150ce156d4fbed6df685b2bb4ec2df417d6464cfe788843607883"},"schema_version":"1.0","source":{"id":"1504.00139","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00139","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00139v2","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00139","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"U6GPIICQES2N","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"U6GPIICQES2NHOBY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"U6GPIICQ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:5782cb8dd058e0d16a1aa3da09f21d24c5d99edb17989cb179e79f4c128ea880","target":"graph","created_at":"2026-05-18T02:09:41Z","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 open system approaches with non-Markovian environments, the process of inserting an individual mode (denoted as \"pseudomode\") into the bath or extracting it from the bath is widely employed. This procedure, however, is typically performed on basis of the spectral density (SD) and does not incorporate temperature. Here, we show how the - temperature-dependent - bath correlation function (BCF) transforms in such a process. We present analytic formulae for the transformed BCF and numerically study the differences between factorizing initial state and global thermal (correlated) initial state o","authors_text":"Alexander Croy, Alexander Eisfeld, David W. Sch\\\"onleber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T08:24:19Z","title":"Pseudomodes and the corresponding transformation of the temperature-dependent bath correlation function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00139","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:e083f2653f56095134c6d98620367ccd6093347ed72e124b1b48946f3302dd74","target":"record","created_at":"2026-05-18T02:09:41Z","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":"b9fbd8469c4c5728a07598c46eab015f2a7257a4493b13935ff1f34c64f56fa6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T08:24:19Z","title_canon_sha256":"238a76ae2ff150ce156d4fbed6df685b2bb4ec2df417d6464cfe788843607883"},"schema_version":"1.0","source":{"id":"1504.00139","kind":"arxiv","version":2}},"canonical_sha256":"a78cf4205024b4d3b838be68b4247798b50892038e4306b278628ee9d03e9a00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a78cf4205024b4d3b838be68b4247798b50892038e4306b278628ee9d03e9a00","first_computed_at":"2026-05-18T02:09:41.083753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:41.083753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VxsHapN6Azljg94wsQpNkxUKPUR4F8Xftt903igoeSpN/cF82bo5H6FmejUDUxngP4sCCUMrq8rf//NbwcV0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:41.084489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00139","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e083f2653f56095134c6d98620367ccd6093347ed72e124b1b48946f3302dd74","sha256:5782cb8dd058e0d16a1aa3da09f21d24c5d99edb17989cb179e79f4c128ea880"],"state_sha256":"1054acde9a39957f934d7746f7b9f502b2b1443e6045f6a9d56466a19300493a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m+5Yi4jUnJPWmhigvS09cCHjHyNOfhDtXaFR2FyJlkPpLPuDJeTl17uZAeRg8M/jwi0cQLKVs5vrPylDvHAUDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:23:29.636467Z","bundle_sha256":"55a2debe72607d87a0c7cd3a0f9174f5b9f3a603bfb87cdef2ad82276a82eda6"}}