{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PGGSTVEYEL3DZFGZY4SWJ37YUF","short_pith_number":"pith:PGGSTVEY","canonical_record":{"source":{"id":"1211.6959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-29T15:54:45Z","cross_cats_sorted":[],"title_canon_sha256":"c20935ae4561db767838c7390c7df464787897c4c20fd33779798721a5031d08","abstract_canon_sha256":"ba7744a46c942d01560b1189ef67f46a5d8cdadcabec04e2d8f46e8af14e2c33"},"schema_version":"1.0"},"canonical_sha256":"798d29d49822f63c94d9c72564eff8a16961d48528b240034ca728baf6827d22","source":{"kind":"arxiv","id":"1211.6959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6959","created_at":"2026-05-18T03:13:00Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6959v1","created_at":"2026-05-18T03:13:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6959","created_at":"2026-05-18T03:13:00Z"},{"alias_kind":"pith_short_12","alias_value":"PGGSTVEYEL3D","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PGGSTVEYEL3DZFGZ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PGGSTVEY","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PGGSTVEYEL3DZFGZY4SWJ37YUF","target":"record","payload":{"canonical_record":{"source":{"id":"1211.6959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-29T15:54:45Z","cross_cats_sorted":[],"title_canon_sha256":"c20935ae4561db767838c7390c7df464787897c4c20fd33779798721a5031d08","abstract_canon_sha256":"ba7744a46c942d01560b1189ef67f46a5d8cdadcabec04e2d8f46e8af14e2c33"},"schema_version":"1.0"},"canonical_sha256":"798d29d49822f63c94d9c72564eff8a16961d48528b240034ca728baf6827d22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:00.193991Z","signature_b64":"HDg/1SPn+AzdSZiwCNehpgvUzyG4qHxS9dr/jP+A+b6MBucx1mBfU2d/jFp4DMAplbpajCGVwzw8Qtjxh71PAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"798d29d49822f63c94d9c72564eff8a16961d48528b240034ca728baf6827d22","last_reissued_at":"2026-05-18T03:13:00.193266Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:00.193266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.6959","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":"2026-05-18T03:13:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YLBTWA7qIQAjYd8MuyBLFAi7mGzVRz6/S+Ot1QnIem/bQHO0jOTRHkRCy8CUKC0ugpiNicnhp8WVEdPBYz7zDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:32:01.002524Z"},"content_sha256":"38a48c84429fa452726dbeaf1e393ddff896909b9a96051b436415c3d8862991","schema_version":"1.0","event_id":"sha256:38a48c84429fa452726dbeaf1e393ddff896909b9a96051b436415c3d8862991"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PGGSTVEYEL3DZFGZY4SWJ37YUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Few-particle quantum dynamics---comparing Nonequilibrium Green's functions with the generalized Kadanoff-Baym ansatz to density operator theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"K. Balzer, M. Bonitz, S. Hermanns","submitted_at":"2012-11-29T15:54:45Z","abstract_excerpt":"The nonequilibrium description of quantum systems requires, for more than two or three particles, the use of a reduced description to be numerically tractable. Two possible approaches are based on either reduced density matrices or nonequilibrium Green's functions (NEGF). Both concepts are formulated in terms of hierarchies of coupled equations---the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy for the reduced density operators and the Martin-Schwinger-hierarchy (MS) for the Green's functions, respectively. In both cases, similar approximations are introduced to decouple the hierarchy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6959","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":"2026-05-18T03:13:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQBQvraZVku0tzjla5PVDbDeV0OCQAo5GRsvW4KQrVt0PpQ71CdVHhR65ANkB7mHFjlQ9wvbxsxl0I2AMe/sCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:32:01.003230Z"},"content_sha256":"81ea047d0c2e352cfd91d1a3759dcabc7cc871e0a92db2eb08d36d2a18de79df","schema_version":"1.0","event_id":"sha256:81ea047d0c2e352cfd91d1a3759dcabc7cc871e0a92db2eb08d36d2a18de79df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF/bundle.json","state_url":"https://pith.science/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF/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":"2026-06-08T19:32:01Z","links":{"resolver":"https://pith.science/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF","bundle":"https://pith.science/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF/bundle.json","state":"https://pith.science/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PGGSTVEYEL3DZFGZY4SWJ37YUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PGGSTVEYEL3DZFGZY4SWJ37YUF","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":"ba7744a46c942d01560b1189ef67f46a5d8cdadcabec04e2d8f46e8af14e2c33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-29T15:54:45Z","title_canon_sha256":"c20935ae4561db767838c7390c7df464787897c4c20fd33779798721a5031d08"},"schema_version":"1.0","source":{"id":"1211.6959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6959","created_at":"2026-05-18T03:13:00Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6959v1","created_at":"2026-05-18T03:13:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6959","created_at":"2026-05-18T03:13:00Z"},{"alias_kind":"pith_short_12","alias_value":"PGGSTVEYEL3D","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PGGSTVEYEL3DZFGZ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PGGSTVEY","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:81ea047d0c2e352cfd91d1a3759dcabc7cc871e0a92db2eb08d36d2a18de79df","target":"graph","created_at":"2026-05-18T03:13:00Z","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":"The nonequilibrium description of quantum systems requires, for more than two or three particles, the use of a reduced description to be numerically tractable. Two possible approaches are based on either reduced density matrices or nonequilibrium Green's functions (NEGF). Both concepts are formulated in terms of hierarchies of coupled equations---the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy for the reduced density operators and the Martin-Schwinger-hierarchy (MS) for the Green's functions, respectively. In both cases, similar approximations are introduced to decouple the hierarchy","authors_text":"K. Balzer, M. Bonitz, S. Hermanns","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-29T15:54:45Z","title":"Few-particle quantum dynamics---comparing Nonequilibrium Green's functions with the generalized Kadanoff-Baym ansatz to density operator theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6959","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":"sha256:38a48c84429fa452726dbeaf1e393ddff896909b9a96051b436415c3d8862991","target":"record","created_at":"2026-05-18T03:13:00Z","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":"ba7744a46c942d01560b1189ef67f46a5d8cdadcabec04e2d8f46e8af14e2c33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-29T15:54:45Z","title_canon_sha256":"c20935ae4561db767838c7390c7df464787897c4c20fd33779798721a5031d08"},"schema_version":"1.0","source":{"id":"1211.6959","kind":"arxiv","version":1}},"canonical_sha256":"798d29d49822f63c94d9c72564eff8a16961d48528b240034ca728baf6827d22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"798d29d49822f63c94d9c72564eff8a16961d48528b240034ca728baf6827d22","first_computed_at":"2026-05-18T03:13:00.193266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:00.193266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HDg/1SPn+AzdSZiwCNehpgvUzyG4qHxS9dr/jP+A+b6MBucx1mBfU2d/jFp4DMAplbpajCGVwzw8Qtjxh71PAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:00.193991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38a48c84429fa452726dbeaf1e393ddff896909b9a96051b436415c3d8862991","sha256:81ea047d0c2e352cfd91d1a3759dcabc7cc871e0a92db2eb08d36d2a18de79df"],"state_sha256":"139465b0d9094875d535b2eec2878858694e0542caed0abd617a189c327bfd23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mE7EP7plZAKYgwN7KPMg/DIeO2//MIERJtT3VvH2woMeE1PoZhdmqLK9nvfbjbTKteFOx4xEkvxE8xNo+Qf3AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:32:01.007254Z","bundle_sha256":"ce43cae94b218ace5e35e523b3df2b747eb152d3104e5f0740464798cd1ff62e"}}