{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:THXTOB5PFWRMEQRD4GTCV46DVH","short_pith_number":"pith:THXTOB5P","canonical_record":{"source":{"id":"0811.0936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-11-06T13:07:11Z","cross_cats_sorted":[],"title_canon_sha256":"86cd35db7f8ca6bb551a9f331c1b2b0a0c9531e450b4ca523cd05a68042fa25b","abstract_canon_sha256":"ef7260bfd0cf20300c39332c9da5157c63dc47f395f71a1a718cb801d003c5d1"},"schema_version":"1.0"},"canonical_sha256":"99ef3707af2da2c24223e1a62af3c3a9ef3f66274641d938870a0a4b779cfff7","source":{"kind":"arxiv","id":"0811.0936","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0936","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0936v1","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0936","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"THXTOB5PFWRM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"THXTOB5PFWRMEQRD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"THXTOB5P","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:THXTOB5PFWRMEQRD4GTCV46DVH","target":"record","payload":{"canonical_record":{"source":{"id":"0811.0936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-11-06T13:07:11Z","cross_cats_sorted":[],"title_canon_sha256":"86cd35db7f8ca6bb551a9f331c1b2b0a0c9531e450b4ca523cd05a68042fa25b","abstract_canon_sha256":"ef7260bfd0cf20300c39332c9da5157c63dc47f395f71a1a718cb801d003c5d1"},"schema_version":"1.0"},"canonical_sha256":"99ef3707af2da2c24223e1a62af3c3a9ef3f66274641d938870a0a4b779cfff7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:14.034805Z","signature_b64":"mhoEPXc4c4w+xtOGI548VydC0EXFdgcXCitH7vsGUWIGVwm7pWeywMfmdp/gLazbuaZZwM10SqX8TvbiQ8gFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99ef3707af2da2c24223e1a62af3c3a9ef3f66274641d938870a0a4b779cfff7","last_reissued_at":"2026-05-18T02:35:14.034462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:14.034462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.0936","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":"2026-05-18T02:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JybpYS33lSMuHF6mWuRAuvgLTM/5TYOvtNoFOzOSEqSZeIJlNbjbptlSVRMERV4Rzx9LdoVoUIRp3R6K+D0fAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T15:28:52.703430Z"},"content_sha256":"998479eb4bc2d92993da6c3b21529f089b7016bbf2890db964711624a968efdc","schema_version":"1.0","event_id":"sha256:998479eb4bc2d92993da6c3b21529f089b7016bbf2890db964711624a968efdc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:THXTOB5PFWRMEQRD4GTCV46DVH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetic transport theory with quantum coherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kimmo Kainulainen, Matti Herranen, Pyry M. Rahkila","submitted_at":"2008-11-06T13:07:11Z","abstract_excerpt":"We derive transport equations for fermions and bosons in spatially or temporally varying backgrounds with special symmetries, by use of the Schwinger-Keldysh formalism. In a noninteracting theory the coherence information is shown to be encoded in new singular shells for the 2-point function. Imposing this phase space structure to the interacting theory leads to a a self-consistent equation of motion for a physcial density matrix, including coherence and a well defined collision integral. The method is applied e.g. to demonstrate how an initially coherent out-of-equlibrium state approaches equ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0936","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":"2026-05-18T02:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8gUeL29erXJumCZ31U33yDZlUIdU8ooszA6mS92wZUC7JG5AHEK0zj64V7oQNJu44d+Hm6GTmxQWx/LOx1GMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T15:28:52.704039Z"},"content_sha256":"560873f863cc92c5857a4847b950884eac3801f3b5486af22c1725c046fa50af","schema_version":"1.0","event_id":"sha256:560873f863cc92c5857a4847b950884eac3801f3b5486af22c1725c046fa50af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/THXTOB5PFWRMEQRD4GTCV46DVH/bundle.json","state_url":"https://pith.science/pith/THXTOB5PFWRMEQRD4GTCV46DVH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/THXTOB5PFWRMEQRD4GTCV46DVH/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":"2026-05-21T15:28:52Z","links":{"resolver":"https://pith.science/pith/THXTOB5PFWRMEQRD4GTCV46DVH","bundle":"https://pith.science/pith/THXTOB5PFWRMEQRD4GTCV46DVH/bundle.json","state":"https://pith.science/pith/THXTOB5PFWRMEQRD4GTCV46DVH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/THXTOB5PFWRMEQRD4GTCV46DVH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:THXTOB5PFWRMEQRD4GTCV46DVH","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":"ef7260bfd0cf20300c39332c9da5157c63dc47f395f71a1a718cb801d003c5d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-11-06T13:07:11Z","title_canon_sha256":"86cd35db7f8ca6bb551a9f331c1b2b0a0c9531e450b4ca523cd05a68042fa25b"},"schema_version":"1.0","source":{"id":"0811.0936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0936","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0936v1","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0936","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"THXTOB5PFWRM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"THXTOB5PFWRMEQRD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"THXTOB5P","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:560873f863cc92c5857a4847b950884eac3801f3b5486af22c1725c046fa50af","target":"graph","created_at":"2026-05-18T02:35:14Z","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 derive transport equations for fermions and bosons in spatially or temporally varying backgrounds with special symmetries, by use of the Schwinger-Keldysh formalism. In a noninteracting theory the coherence information is shown to be encoded in new singular shells for the 2-point function. Imposing this phase space structure to the interacting theory leads to a a self-consistent equation of motion for a physcial density matrix, including coherence and a well defined collision integral. The method is applied e.g. to demonstrate how an initially coherent out-of-equlibrium state approaches equ","authors_text":"Kimmo Kainulainen, Matti Herranen, Pyry M. Rahkila","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-11-06T13:07:11Z","title":"Kinetic transport theory with quantum coherence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0936","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":"sha256:998479eb4bc2d92993da6c3b21529f089b7016bbf2890db964711624a968efdc","target":"record","created_at":"2026-05-18T02:35:14Z","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":"ef7260bfd0cf20300c39332c9da5157c63dc47f395f71a1a718cb801d003c5d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-11-06T13:07:11Z","title_canon_sha256":"86cd35db7f8ca6bb551a9f331c1b2b0a0c9531e450b4ca523cd05a68042fa25b"},"schema_version":"1.0","source":{"id":"0811.0936","kind":"arxiv","version":1}},"canonical_sha256":"99ef3707af2da2c24223e1a62af3c3a9ef3f66274641d938870a0a4b779cfff7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99ef3707af2da2c24223e1a62af3c3a9ef3f66274641d938870a0a4b779cfff7","first_computed_at":"2026-05-18T02:35:14.034462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:14.034462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mhoEPXc4c4w+xtOGI548VydC0EXFdgcXCitH7vsGUWIGVwm7pWeywMfmdp/gLazbuaZZwM10SqX8TvbiQ8gFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:14.034805Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.0936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:998479eb4bc2d92993da6c3b21529f089b7016bbf2890db964711624a968efdc","sha256:560873f863cc92c5857a4847b950884eac3801f3b5486af22c1725c046fa50af"],"state_sha256":"9bab77f7a816f5a9320a3a0876c28f9697d637d51fcdb030b27e9576ca2b5a8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jvu5ViHjHWLH7YzD56+zr/VuneTBluhFK4ld8PJvPXFpFI9XGndStSMknPx/dTlb7pR/VbGVzOYdzP9/nxmkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T15:28:52.707497Z","bundle_sha256":"ad5f315b6351f59aeafa202fcb5eaf6f89a156325635cdd117e98285ac503c1e"}}