{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6RL42ACOTLTOYSSYHHQAC5NZH2","short_pith_number":"pith:6RL42ACO","canonical_record":{"source":{"id":"1509.02519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-08T20:00:42Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"26c236cc770dda1cc9d89d579d730f2f967daeb66195830e38bd9a08e1b9f970","abstract_canon_sha256":"8535550934f073bbe5e9678e4538f5083bc3f21e72c9c7eb3b6657362342ced4"},"schema_version":"1.0"},"canonical_sha256":"f457cd004e9ae6ec4a5839e00175b93e80ae6a36bb54040a7668f28cf1d3a93c","source":{"kind":"arxiv","id":"1509.02519","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02519","created_at":"2026-05-18T01:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02519v1","created_at":"2026-05-18T01:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02519","created_at":"2026-05-18T01:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"6RL42ACOTLTO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6RL42ACOTLTOYSSY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6RL42ACO","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6RL42ACOTLTOYSSYHHQAC5NZH2","target":"record","payload":{"canonical_record":{"source":{"id":"1509.02519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-08T20:00:42Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"26c236cc770dda1cc9d89d579d730f2f967daeb66195830e38bd9a08e1b9f970","abstract_canon_sha256":"8535550934f073bbe5e9678e4538f5083bc3f21e72c9c7eb3b6657362342ced4"},"schema_version":"1.0"},"canonical_sha256":"f457cd004e9ae6ec4a5839e00175b93e80ae6a36bb54040a7668f28cf1d3a93c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:33.203167Z","signature_b64":"8KhJkGG4ZXZJb9By27uymQX3yOhrAJvpOsL/Ri0NIRniSb6sYB8GH+t1//TYftVmAwGdhJoBkmG3//hvGRUpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f457cd004e9ae6ec4a5839e00175b93e80ae6a36bb54040a7668f28cf1d3a93c","last_reissued_at":"2026-05-18T01:18:33.202809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:33.202809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.02519","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":"2026-05-18T01:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vkkV+tU9RZohUaMaHf40zSFChAxRpX1StvoQycRzsrS3C1DkUdPQ3+QOqq19xFYOvgHINyb8sfh8Zn868xCfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:01:58.450038Z"},"content_sha256":"4dffadbd86f3af29778829510956dbb4841fc47e34ee3bea61d0a619fae5fa24","schema_version":"1.0","event_id":"sha256:4dffadbd86f3af29778829510956dbb4841fc47e34ee3bea61d0a619fae5fa24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6RL42ACOTLTOYSSYHHQAC5NZH2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heat diffusion in the disordered electron gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"A. M. Finkel'stein, G. Schwiete","submitted_at":"2015-09-08T20:00:42Z","abstract_excerpt":"We study the thermal conductivity of the disordered two-dimensional electron gas. To this end we analyze the heat density-heat density correlation function concentrating on the scattering processes induced by the Coulomb interaction in the sub-temperature energy range. These scattering processes are at the origin of logarithmic corrections violating the Wiedemann-Franz law. Special care is devoted to the definition of the heat density in the presence of the long-range Coulomb interaction. To clarify the structure of the correlation function, we present details of a perturbative calculation. Wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02519","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":"2026-05-18T01:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQw5IEHZVTa97fgeMBLab97TvFGk72uIRVhq2YYWaAGNZq30anEtMj5fjxKE+ec3arlx3RfyKG2TE1grwBo9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:01:58.450729Z"},"content_sha256":"a57c440d06b2172b804e0859a4fc827f8936cfe25edfdff4bf28795f762b92da","schema_version":"1.0","event_id":"sha256:a57c440d06b2172b804e0859a4fc827f8936cfe25edfdff4bf28795f762b92da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RL42ACOTLTOYSSYHHQAC5NZH2/bundle.json","state_url":"https://pith.science/pith/6RL42ACOTLTOYSSYHHQAC5NZH2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RL42ACOTLTOYSSYHHQAC5NZH2/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":"2026-05-30T05:01:58Z","links":{"resolver":"https://pith.science/pith/6RL42ACOTLTOYSSYHHQAC5NZH2","bundle":"https://pith.science/pith/6RL42ACOTLTOYSSYHHQAC5NZH2/bundle.json","state":"https://pith.science/pith/6RL42ACOTLTOYSSYHHQAC5NZH2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RL42ACOTLTOYSSYHHQAC5NZH2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6RL42ACOTLTOYSSYHHQAC5NZH2","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":"8535550934f073bbe5e9678e4538f5083bc3f21e72c9c7eb3b6657362342ced4","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-08T20:00:42Z","title_canon_sha256":"26c236cc770dda1cc9d89d579d730f2f967daeb66195830e38bd9a08e1b9f970"},"schema_version":"1.0","source":{"id":"1509.02519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02519","created_at":"2026-05-18T01:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02519v1","created_at":"2026-05-18T01:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02519","created_at":"2026-05-18T01:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"6RL42ACOTLTO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6RL42ACOTLTOYSSY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6RL42ACO","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:a57c440d06b2172b804e0859a4fc827f8936cfe25edfdff4bf28795f762b92da","target":"graph","created_at":"2026-05-18T01:18:33Z","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":"We study the thermal conductivity of the disordered two-dimensional electron gas. To this end we analyze the heat density-heat density correlation function concentrating on the scattering processes induced by the Coulomb interaction in the sub-temperature energy range. These scattering processes are at the origin of logarithmic corrections violating the Wiedemann-Franz law. Special care is devoted to the definition of the heat density in the presence of the long-range Coulomb interaction. To clarify the structure of the correlation function, we present details of a perturbative calculation. Wh","authors_text":"A. M. Finkel'stein, G. Schwiete","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-08T20:00:42Z","title":"Heat diffusion in the disordered electron gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02519","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":"sha256:4dffadbd86f3af29778829510956dbb4841fc47e34ee3bea61d0a619fae5fa24","target":"record","created_at":"2026-05-18T01:18:33Z","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":"8535550934f073bbe5e9678e4538f5083bc3f21e72c9c7eb3b6657362342ced4","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-08T20:00:42Z","title_canon_sha256":"26c236cc770dda1cc9d89d579d730f2f967daeb66195830e38bd9a08e1b9f970"},"schema_version":"1.0","source":{"id":"1509.02519","kind":"arxiv","version":1}},"canonical_sha256":"f457cd004e9ae6ec4a5839e00175b93e80ae6a36bb54040a7668f28cf1d3a93c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f457cd004e9ae6ec4a5839e00175b93e80ae6a36bb54040a7668f28cf1d3a93c","first_computed_at":"2026-05-18T01:18:33.202809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:33.202809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8KhJkGG4ZXZJb9By27uymQX3yOhrAJvpOsL/Ri0NIRniSb6sYB8GH+t1//TYftVmAwGdhJoBkmG3//hvGRUpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:33.203167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dffadbd86f3af29778829510956dbb4841fc47e34ee3bea61d0a619fae5fa24","sha256:a57c440d06b2172b804e0859a4fc827f8936cfe25edfdff4bf28795f762b92da"],"state_sha256":"3f7a8a30ff35130b57918d114977dea452dd24fc914591fa8e5a953d97ae92d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AR42UjiX7Ma+z/HU55tAdPhNvOSO7W0MakGx/Lu90UALoAdskY6TaLvqU5TOTrN4x89YhlqmJJYLOdpQWaSXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:01:58.454338Z","bundle_sha256":"caa813cc20240d1ba61d344625c2b81ac0fc14d65b66e141e947c63f3b9f52a0"}}