{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:ZYAH3TFQTSG4LQIT4Z7BAFIRSN","short_pith_number":"pith:ZYAH3TFQ","canonical_record":{"source":{"id":"hep-ph/9802312","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-12T17:32:58Z","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"title_canon_sha256":"b7430ac8d263116d663bbf9c4f1eaba01bc7e95c3e6bb9cd1e195fa2330cb88e","abstract_canon_sha256":"cd0ee6421ad1b3f3310da50dc30be448e24d4bca4eac21596725c64a7e6f3a97"},"schema_version":"1.0"},"canonical_sha256":"ce007dccb09c8dc5c113e67e10151193404d175e3d92c30edc399370cea4cc0e","source":{"kind":"arxiv","id":"hep-ph/9802312","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9802312","created_at":"2026-05-18T02:36:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9802312v1","created_at":"2026-05-18T02:36:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9802312","created_at":"2026-05-18T02:36:59Z"},{"alias_kind":"pith_short_12","alias_value":"ZYAH3TFQTSG4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZYAH3TFQTSG4LQIT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZYAH3TFQ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:ZYAH3TFQTSG4LQIT4Z7BAFIRSN","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9802312","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-12T17:32:58Z","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"title_canon_sha256":"b7430ac8d263116d663bbf9c4f1eaba01bc7e95c3e6bb9cd1e195fa2330cb88e","abstract_canon_sha256":"cd0ee6421ad1b3f3310da50dc30be448e24d4bca4eac21596725c64a7e6f3a97"},"schema_version":"1.0"},"canonical_sha256":"ce007dccb09c8dc5c113e67e10151193404d175e3d92c30edc399370cea4cc0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:59.101095Z","signature_b64":"WbozBkpd6kDs/6FIx4vnumO+qe1P75OnjEqi0iscNujGzsAzT/h96JaMQDpmBiOJUcAu4M40oonYOb/iroldAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce007dccb09c8dc5c113e67e10151193404d175e3d92c30edc399370cea4cc0e","last_reissued_at":"2026-05-18T02:36:59.100147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:59.100147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9802312","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":"2026-05-18T02:36:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E+J/rmvbdjyvlKu9yZrgc6wPJZM79pJRJc+Ia/VYS+f6uk2Ikq0Rl0ExygjDjMZBB74eQuOWKi6E+mgbaT8OAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:19:10.847114Z"},"content_sha256":"dd3f223efc019379de6e92c80ec42e1c0fd9854978b1db93a5c4e9a94183db6a","schema_version":"1.0","event_id":"sha256:dd3f223efc019379de6e92c80ec42e1c0fd9854978b1db93a5c4e9a94183db6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:ZYAH3TFQTSG4LQIT4Z7BAFIRSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic interpretation of Kadanoff-Baym equations and their relation to Langevin processes","license":"","headline":"","cross_cats":["cond-mat.stat-mech","nucl-th"],"primary_cat":"hep-ph","authors_text":"Carsten Greiner, Stefan Leupold (University of Giessen)","submitted_at":"1998-02-12T17:32:58Z","abstract_excerpt":"In this more pedagogical study we want to elucidate on stochastic aspects inherent to the (non-)equilibrium real time Green's function description (or `closed time path Green's function' -- CTPGF) of transport equations, the so called `Kadanoff-Baym equations'. As a toy model we couple a free scalar boson quantum field to an exemplaric heat bath with some given temperature T. It will be shown in detail that the emerging transport equations have to be understood as the ensemble average over stochastic equations of Langevin type. This corresponds to the equivalence of the influence functional ap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9802312","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":"2026-05-18T02:36:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MLdFPuL1XII/5tOG2HuHOi+/84+VlX/gN1PJh+0aFUm1Dbq9t8I/zSi/UDJOPT3143evJgGg6mYBhHlL3korCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:19:10.847523Z"},"content_sha256":"048b143431d7d816dc0334b2ce0c42fa8a19d4744313efdc331582edb382afb1","schema_version":"1.0","event_id":"sha256:048b143431d7d816dc0334b2ce0c42fa8a19d4744313efdc331582edb382afb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN/bundle.json","state_url":"https://pith.science/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN/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":"2026-06-07T16:19:10Z","links":{"resolver":"https://pith.science/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN","bundle":"https://pith.science/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN/bundle.json","state":"https://pith.science/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYAH3TFQTSG4LQIT4Z7BAFIRSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:ZYAH3TFQTSG4LQIT4Z7BAFIRSN","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":"cd0ee6421ad1b3f3310da50dc30be448e24d4bca4eac21596725c64a7e6f3a97","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-12T17:32:58Z","title_canon_sha256":"b7430ac8d263116d663bbf9c4f1eaba01bc7e95c3e6bb9cd1e195fa2330cb88e"},"schema_version":"1.0","source":{"id":"hep-ph/9802312","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9802312","created_at":"2026-05-18T02:36:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9802312v1","created_at":"2026-05-18T02:36:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9802312","created_at":"2026-05-18T02:36:59Z"},{"alias_kind":"pith_short_12","alias_value":"ZYAH3TFQTSG4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZYAH3TFQTSG4LQIT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZYAH3TFQ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:048b143431d7d816dc0334b2ce0c42fa8a19d4744313efdc331582edb382afb1","target":"graph","created_at":"2026-05-18T02:36:59Z","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 more pedagogical study we want to elucidate on stochastic aspects inherent to the (non-)equilibrium real time Green's function description (or `closed time path Green's function' -- CTPGF) of transport equations, the so called `Kadanoff-Baym equations'. As a toy model we couple a free scalar boson quantum field to an exemplaric heat bath with some given temperature T. It will be shown in detail that the emerging transport equations have to be understood as the ensemble average over stochastic equations of Langevin type. This corresponds to the equivalence of the influence functional ap","authors_text":"Carsten Greiner, Stefan Leupold (University of Giessen)","cross_cats":["cond-mat.stat-mech","nucl-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1998-02-12T17:32:58Z","title":"Stochastic interpretation of Kadanoff-Baym equations and their relation to Langevin processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9802312","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:dd3f223efc019379de6e92c80ec42e1c0fd9854978b1db93a5c4e9a94183db6a","target":"record","created_at":"2026-05-18T02:36:59Z","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":"cd0ee6421ad1b3f3310da50dc30be448e24d4bca4eac21596725c64a7e6f3a97","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-12T17:32:58Z","title_canon_sha256":"b7430ac8d263116d663bbf9c4f1eaba01bc7e95c3e6bb9cd1e195fa2330cb88e"},"schema_version":"1.0","source":{"id":"hep-ph/9802312","kind":"arxiv","version":1}},"canonical_sha256":"ce007dccb09c8dc5c113e67e10151193404d175e3d92c30edc399370cea4cc0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce007dccb09c8dc5c113e67e10151193404d175e3d92c30edc399370cea4cc0e","first_computed_at":"2026-05-18T02:36:59.100147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:59.100147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WbozBkpd6kDs/6FIx4vnumO+qe1P75OnjEqi0iscNujGzsAzT/h96JaMQDpmBiOJUcAu4M40oonYOb/iroldAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:59.101095Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9802312","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd3f223efc019379de6e92c80ec42e1c0fd9854978b1db93a5c4e9a94183db6a","sha256:048b143431d7d816dc0334b2ce0c42fa8a19d4744313efdc331582edb382afb1"],"state_sha256":"b4b5d1c95cf891a11fca859f92c14aa79858b9e12d93c86e4d438785c9daa75e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FE5qSbyv2ywZFN+4mK1Rzogm+nIH+eVMWoEpChCMmGwAZC57oDLl11Z6HZ49+PTfetT5dQ8yyldPAwJfWhskCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:19:10.850172Z","bundle_sha256":"fa431dc31785e1b24a4a0b6a44e86e6da40df820032a52473e11b4612d2ed584"}}