{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:MX2B632ISCAJEZ3Z4GR2T6ILB2","short_pith_number":"pith:MX2B632I","canonical_record":{"source":{"id":"0810.5635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-31T07:51:06Z","cross_cats_sorted":[],"title_canon_sha256":"64d1d8d1c078d523af0af4429af162fcc69fca02e306af93cdbe8b31073ea9e8","abstract_canon_sha256":"6f750ffb9ec8d7ec1839db61bb4bdc8eb24bd4c594c0668bdc49a1cec21131e0"},"schema_version":"1.0"},"canonical_sha256":"65f41f6f489080926779e1a3a9f90b0eb12075840f248b06e60ffd221da9e7ae","source":{"kind":"arxiv","id":"0810.5635","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.5635","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"0810.5635v1","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5635","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"MX2B632ISCAJ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"MX2B632ISCAJEZ3Z","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"MX2B632I","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:MX2B632ISCAJEZ3Z4GR2T6ILB2","target":"record","payload":{"canonical_record":{"source":{"id":"0810.5635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-31T07:51:06Z","cross_cats_sorted":[],"title_canon_sha256":"64d1d8d1c078d523af0af4429af162fcc69fca02e306af93cdbe8b31073ea9e8","abstract_canon_sha256":"6f750ffb9ec8d7ec1839db61bb4bdc8eb24bd4c594c0668bdc49a1cec21131e0"},"schema_version":"1.0"},"canonical_sha256":"65f41f6f489080926779e1a3a9f90b0eb12075840f248b06e60ffd221da9e7ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:22.791100Z","signature_b64":"uLbJMDCQhNQxKnCN1Ys/cG9VjZDptVMb7WCRZpN2tI9PNOKYmpZ0Hxjs2N6PPgf+v8OdvBxb4bsfzcZuaDoEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65f41f6f489080926779e1a3a9f90b0eb12075840f248b06e60ffd221da9e7ae","last_reissued_at":"2026-05-18T02:15:22.790453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:22.790453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.5635","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":"2026-05-18T02:15:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G+Ivb0xMzrRqsS1cohMmXdjs3nJ7BIS5yJxA8rCafw5BbPS9JEhgGlRqYU09SM2VoyDLdyvsdI7Set+GIUfRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:36:07.098451Z"},"content_sha256":"01c2f9e807bbc93e6b320235372de5964ecd6b642ee2e06a4296d9842740d6f6","schema_version":"1.0","event_id":"sha256:01c2f9e807bbc93e6b320235372de5964ecd6b642ee2e06a4296d9842740d6f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:MX2B632ISCAJEZ3Z4GR2T6ILB2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-time quantum transport and quantum diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"P. Kleinert","submitted_at":"2008-10-31T07:51:06Z","abstract_excerpt":"Based on the nonequilibrium Green's function technique, a unified theory is developed that covers quantum transport and quantum diffusion in bulk semiconductors on the same footing. This approach, which is applicable to transport via extended and localized states, extends previous semi-phenomenological studies and puts them on a firm microscopic basis. The approach is sufficiently general and applies not only to well-studied quantum transport problems, but also to models, in which the Hamiltonian does not commute with the dipole operator. It is shown that, even for the unified treatment of qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5635","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":"2026-05-18T02:15:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+0K+E9T3lHE2k5IauvP8+4lVLwSLHlZVBax87qXFRacMP0CWfqbt2UAYvohQlbNA6EyUtEjU7DERlPuLssSQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:36:07.099154Z"},"content_sha256":"08d25352a7c6bf5e8ca2c4475866467d54daa7cc1e2bce2747600c569ebdb958","schema_version":"1.0","event_id":"sha256:08d25352a7c6bf5e8ca2c4475866467d54daa7cc1e2bce2747600c569ebdb958"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2/bundle.json","state_url":"https://pith.science/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2/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":"2026-06-09T19:36:07Z","links":{"resolver":"https://pith.science/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2","bundle":"https://pith.science/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2/bundle.json","state":"https://pith.science/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MX2B632ISCAJEZ3Z4GR2T6ILB2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:MX2B632ISCAJEZ3Z4GR2T6ILB2","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":"6f750ffb9ec8d7ec1839db61bb4bdc8eb24bd4c594c0668bdc49a1cec21131e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-31T07:51:06Z","title_canon_sha256":"64d1d8d1c078d523af0af4429af162fcc69fca02e306af93cdbe8b31073ea9e8"},"schema_version":"1.0","source":{"id":"0810.5635","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.5635","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"0810.5635v1","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5635","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"MX2B632ISCAJ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"MX2B632ISCAJEZ3Z","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"MX2B632I","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:08d25352a7c6bf5e8ca2c4475866467d54daa7cc1e2bce2747600c569ebdb958","target":"graph","created_at":"2026-05-18T02:15:22Z","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":"Based on the nonequilibrium Green's function technique, a unified theory is developed that covers quantum transport and quantum diffusion in bulk semiconductors on the same footing. This approach, which is applicable to transport via extended and localized states, extends previous semi-phenomenological studies and puts them on a firm microscopic basis. The approach is sufficiently general and applies not only to well-studied quantum transport problems, but also to models, in which the Hamiltonian does not commute with the dipole operator. It is shown that, even for the unified treatment of qua","authors_text":"P. Kleinert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-31T07:51:06Z","title":"Two-time quantum transport and quantum diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5635","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":"sha256:01c2f9e807bbc93e6b320235372de5964ecd6b642ee2e06a4296d9842740d6f6","target":"record","created_at":"2026-05-18T02:15:22Z","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":"6f750ffb9ec8d7ec1839db61bb4bdc8eb24bd4c594c0668bdc49a1cec21131e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-31T07:51:06Z","title_canon_sha256":"64d1d8d1c078d523af0af4429af162fcc69fca02e306af93cdbe8b31073ea9e8"},"schema_version":"1.0","source":{"id":"0810.5635","kind":"arxiv","version":1}},"canonical_sha256":"65f41f6f489080926779e1a3a9f90b0eb12075840f248b06e60ffd221da9e7ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65f41f6f489080926779e1a3a9f90b0eb12075840f248b06e60ffd221da9e7ae","first_computed_at":"2026-05-18T02:15:22.790453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:22.790453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uLbJMDCQhNQxKnCN1Ys/cG9VjZDptVMb7WCRZpN2tI9PNOKYmpZ0Hxjs2N6PPgf+v8OdvBxb4bsfzcZuaDoEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:22.791100Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.5635","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01c2f9e807bbc93e6b320235372de5964ecd6b642ee2e06a4296d9842740d6f6","sha256:08d25352a7c6bf5e8ca2c4475866467d54daa7cc1e2bce2747600c569ebdb958"],"state_sha256":"718809d5948a68ea111a65f82c559f4277f5a0644d4372ad56d4826a11f7a205"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"reOkr6KIN+A60zseNc56yRFmbirZwt2mmu9rH+hQieQjFNcoQH75YLt7WcqTjXWbXCQ1wsGecMCSkbND+qcFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:36:07.103008Z","bundle_sha256":"de2c3838d0e288d18241f3dda8c9635f7b2f3d1fe88d8aa925e25935f266a35f"}}