{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:DYCVDQAGZ2M55AJVCF6RKDZ3EZ","short_pith_number":"pith:DYCVDQAG","canonical_record":{"source":{"id":"cond-mat/0609538","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-09-21T08:23:53Z","cross_cats_sorted":[],"title_canon_sha256":"151e678fdbfee725e25c0d907ba9ee2b0584ad905a86f2d4e31473ffadab92dd","abstract_canon_sha256":"8d550be1b529deed8ed6ee6f5005aa0930fa0d9e1f700ffe78cc8210d35c5254"},"schema_version":"1.0"},"canonical_sha256":"1e0551c006ce99de8135117d150f3b264e0249aa625d9a10b2bb3b2a38fcde79","source":{"kind":"arxiv","id":"cond-mat/0609538","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0609538","created_at":"2026-05-18T01:39:43Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0609538v2","created_at":"2026-05-18T01:39:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0609538","created_at":"2026-05-18T01:39:43Z"},{"alias_kind":"pith_short_12","alias_value":"DYCVDQAGZ2M5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DYCVDQAGZ2M55AJV","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DYCVDQAG","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:DYCVDQAGZ2M55AJVCF6RKDZ3EZ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0609538","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-09-21T08:23:53Z","cross_cats_sorted":[],"title_canon_sha256":"151e678fdbfee725e25c0d907ba9ee2b0584ad905a86f2d4e31473ffadab92dd","abstract_canon_sha256":"8d550be1b529deed8ed6ee6f5005aa0930fa0d9e1f700ffe78cc8210d35c5254"},"schema_version":"1.0"},"canonical_sha256":"1e0551c006ce99de8135117d150f3b264e0249aa625d9a10b2bb3b2a38fcde79","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:43.089841Z","signature_b64":"Qwf4ffpludH2GZ9xnE3KGw6rDnqOpeRJCeB+S0dmVYofhLUSF/qgL20x+WsuoTQMjWzDgzbnzGb5FRuU2e5XCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e0551c006ce99de8135117d150f3b264e0249aa625d9a10b2bb3b2a38fcde79","last_reissued_at":"2026-05-18T01:39:43.089330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:43.089330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0609538","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0LWZ9Kzq7pVsB8rW+6UnJlhbe036a0Npi0jCwpxb2u/gL9VWJiOOpbf+AV+NsU/X0XECrkNntKNe2m42yoGsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:47:32.884035Z"},"content_sha256":"7f83bfa64cb765ab2315accabe8979ac63f213ff9cb8b76dbc938c33d6e1a8e8","schema_version":"1.0","event_id":"sha256:7f83bfa64cb765ab2315accabe8979ac63f213ff9cb8b76dbc938c33d6e1a8e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:DYCVDQAGZ2M55AJVCF6RKDZ3EZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"P. Schwab, U. Eckern","submitted_at":"2006-09-21T08:23:53Z","abstract_excerpt":"The method of the quasiclassical Green's function is used to determine the equilibrium properties of one-dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a novel approach to 1D systems, our findings do agree with standard results for Luttinger liquids obtained with the bosonization method. Analogies to the so-called $P(E)$ theory of tunneling through ultrasmall junctions are pointed out and are exploited. Further applications of the Green's function method for 1D systems are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0609538","kind":"arxiv","version":2},"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":"2026-05-18T01:39:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9jsEFzcVMuQ9hJh+kuEtshSxwD9/6YIs9NcIsTG2cjrpLjmeyyl1wr32JJ5/9+AXY+2xfjT8BgdPvdYuAGkwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:47:32.884769Z"},"content_sha256":"23d2bb6e0dfe3f6d1ecf25d0986a1cd2e007147e0b42bb9687fdd157ad70c7ee","schema_version":"1.0","event_id":"sha256:23d2bb6e0dfe3f6d1ecf25d0986a1cd2e007147e0b42bb9687fdd157ad70c7ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ/bundle.json","state_url":"https://pith.science/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ/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":"2026-05-27T15:47:32Z","links":{"resolver":"https://pith.science/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ","bundle":"https://pith.science/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ/bundle.json","state":"https://pith.science/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DYCVDQAGZ2M55AJVCF6RKDZ3EZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:DYCVDQAGZ2M55AJVCF6RKDZ3EZ","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":"8d550be1b529deed8ed6ee6f5005aa0930fa0d9e1f700ffe78cc8210d35c5254","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-09-21T08:23:53Z","title_canon_sha256":"151e678fdbfee725e25c0d907ba9ee2b0584ad905a86f2d4e31473ffadab92dd"},"schema_version":"1.0","source":{"id":"cond-mat/0609538","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0609538","created_at":"2026-05-18T01:39:43Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0609538v2","created_at":"2026-05-18T01:39:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0609538","created_at":"2026-05-18T01:39:43Z"},{"alias_kind":"pith_short_12","alias_value":"DYCVDQAGZ2M5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DYCVDQAGZ2M55AJV","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DYCVDQAG","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:23d2bb6e0dfe3f6d1ecf25d0986a1cd2e007147e0b42bb9687fdd157ad70c7ee","target":"graph","created_at":"2026-05-18T01:39:43Z","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 method of the quasiclassical Green's function is used to determine the equilibrium properties of one-dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a novel approach to 1D systems, our findings do agree with standard results for Luttinger liquids obtained with the bosonization method. Analogies to the so-called $P(E)$ theory of tunneling through ultrasmall junctions are pointed out and are exploited. Further applications of the Green's function method for 1D systems are discussed.","authors_text":"P. Schwab, U. Eckern","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-09-21T08:23:53Z","title":"Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0609538","kind":"arxiv","version":2},"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":"sha256:7f83bfa64cb765ab2315accabe8979ac63f213ff9cb8b76dbc938c33d6e1a8e8","target":"record","created_at":"2026-05-18T01:39:43Z","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":"8d550be1b529deed8ed6ee6f5005aa0930fa0d9e1f700ffe78cc8210d35c5254","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-09-21T08:23:53Z","title_canon_sha256":"151e678fdbfee725e25c0d907ba9ee2b0584ad905a86f2d4e31473ffadab92dd"},"schema_version":"1.0","source":{"id":"cond-mat/0609538","kind":"arxiv","version":2}},"canonical_sha256":"1e0551c006ce99de8135117d150f3b264e0249aa625d9a10b2bb3b2a38fcde79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e0551c006ce99de8135117d150f3b264e0249aa625d9a10b2bb3b2a38fcde79","first_computed_at":"2026-05-18T01:39:43.089330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:43.089330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qwf4ffpludH2GZ9xnE3KGw6rDnqOpeRJCeB+S0dmVYofhLUSF/qgL20x+WsuoTQMjWzDgzbnzGb5FRuU2e5XCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:43.089841Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0609538","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f83bfa64cb765ab2315accabe8979ac63f213ff9cb8b76dbc938c33d6e1a8e8","sha256:23d2bb6e0dfe3f6d1ecf25d0986a1cd2e007147e0b42bb9687fdd157ad70c7ee"],"state_sha256":"240a86a8a15936346f24eabdac77bf5c6b66fee326f5440a7ec62f39bd669d84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wywdE9KevqzuPn3SfZQodq+KSyLBpcZlZjxSmhI2sYeMVkvvbuRuhAd2InigLMwc7+Un9v2ZghS339vRNhUBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:47:32.888458Z","bundle_sha256":"4bf590f4776fdb6d71f6ada78f00345a2d611726e7c64ab9af125f0cbb9495fb"}}