{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:MDL3SOR6GNF7UN7RJPKSYCJHTZ","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":"7a20b51960bbe9f0457ebf376726e54c2b39e462eb9b3a1deba67c74c1a7a82d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-01-23T00:39:09Z","title_canon_sha256":"96fdef6f69bed71b505050b732d8e9dc12838331e9517f10f92cfb02ed8809a1"},"schema_version":"1.0","source":{"id":"0901.3586","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.3586","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"0901.3586v3","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3586","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"MDL3SOR6GNF7","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"MDL3SOR6GNF7UN7R","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"MDL3SOR6","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:20ec98f397255e4dcf4fa32a7a2c70be99763b8eec154c49f7c3a7325dfe8b96","target":"graph","created_at":"2026-05-18T02:14:56Z","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 purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The emphasis is placed on a functional integral representation of underlying microscopic models. A large part of the review is devoted to derivation and applications of the non-linear sigma-model for disordered metals and superconductors. We discuss such topics as transport properties, mesoscopic effects, counting statistics, interaction corrections, kinetic equation, etc. The sections devoted to disordered superconductors in","authors_text":"Alex Kamenev, Alex Levchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-01-23T00:39:09Z","title":"Keldysh technique and non-linear sigma-model: basic principles and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3586","kind":"arxiv","version":3},"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:c28e2b06abf9f437a5d73ff6ceb7e4e47ae75260a2da9426a3d9e6fe6fd0df59","target":"record","created_at":"2026-05-18T02:14:56Z","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":"7a20b51960bbe9f0457ebf376726e54c2b39e462eb9b3a1deba67c74c1a7a82d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-01-23T00:39:09Z","title_canon_sha256":"96fdef6f69bed71b505050b732d8e9dc12838331e9517f10f92cfb02ed8809a1"},"schema_version":"1.0","source":{"id":"0901.3586","kind":"arxiv","version":3}},"canonical_sha256":"60d7b93a3e334bfa37f14bd52c09279e415db8fed3fc2f6086c8fcec61ff6753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60d7b93a3e334bfa37f14bd52c09279e415db8fed3fc2f6086c8fcec61ff6753","first_computed_at":"2026-05-18T02:14:56.178802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:56.178802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lzFMS6Cmfgeqzscv7vsrPkZnMU4Z+41nNFm/3Dyv4Mrgyqvh/bLUF6W3HfRYvFgScuqkn8LaPQD0cjNvCgcyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:56.179413Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.3586","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c28e2b06abf9f437a5d73ff6ceb7e4e47ae75260a2da9426a3d9e6fe6fd0df59","sha256:20ec98f397255e4dcf4fa32a7a2c70be99763b8eec154c49f7c3a7325dfe8b96"],"state_sha256":"3167da3b56b06d1174c498e262bbc1aa05b2964d7e50e83638d541d2411ee148"}