{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YBV42DF6VUDFGZ6PAT32H26L2R","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":"00bf6789b8b8b92e18f91741be3d793164d77a496a9ad4cdb0b038702f10bc35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-01T13:04:42Z","title_canon_sha256":"a2ea590cacf23b4b38c8ae4ad961ca0f21f1f7e047ea4ba007e769c792a5bbe7"},"schema_version":"1.0","source":{"id":"1312.0214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0214","created_at":"2026-05-18T03:00:12Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0214v1","created_at":"2026-05-18T03:00:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0214","created_at":"2026-05-18T03:00:12Z"},{"alias_kind":"pith_short_12","alias_value":"YBV42DF6VUDF","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YBV42DF6VUDFGZ6P","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YBV42DF6","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:5d3247ef47699c44a026652af032e3b4afc408578eec3e4a295d07512ac8498c","target":"graph","created_at":"2026-05-18T03:00:12Z","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 Dyson (or Kadanoff-Baym) equation, which is an equation of motion with long-range memory kernel for real-time Green functions, underlies many numerical approaches based on the Keldysh formalism. In this paper we map the problem of solving the Dyson equation in real-time onto a noninteracting auxiliary Hamiltonian with additional bath degrees of freedom. The solution of the auxiliary model does not require the evaluation of a memory kernel and can thus be implemented in a very memory efficient way. The mapping is derived for a self-energy which is local in space and is thus d","authors_text":"Karsten Balzer, Martin Eckstein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-01T13:04:42Z","title":"Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0214","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":"sha256:4ad2c6e7a81a394ce26e71bd7c0efdef01ffae5d0415c79c3caa5bb1ce7ccb65","target":"record","created_at":"2026-05-18T03:00:12Z","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":"00bf6789b8b8b92e18f91741be3d793164d77a496a9ad4cdb0b038702f10bc35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-01T13:04:42Z","title_canon_sha256":"a2ea590cacf23b4b38c8ae4ad961ca0f21f1f7e047ea4ba007e769c792a5bbe7"},"schema_version":"1.0","source":{"id":"1312.0214","kind":"arxiv","version":1}},"canonical_sha256":"c06bcd0cbead065367cf04f7a3ebcbd441c5246928c5b600bd352e121b2b8f39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c06bcd0cbead065367cf04f7a3ebcbd441c5246928c5b600bd352e121b2b8f39","first_computed_at":"2026-05-18T03:00:12.140048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:12.140048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ds1rFxvpJPmB7U2v0AcDL4k4R/HpT39YspmBH1YyUGelvsJYmO5xYj8xcFvGEIfKm5MO4FeD1WCSVT+vA81aCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:12.140787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ad2c6e7a81a394ce26e71bd7c0efdef01ffae5d0415c79c3caa5bb1ce7ccb65","sha256:5d3247ef47699c44a026652af032e3b4afc408578eec3e4a295d07512ac8498c"],"state_sha256":"d7e198ed2146cbd2dd1963bb047faa23f8e92883cbfe4299cec5cd300082a393"}