{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4TDO47DBI2Z3FZSUC4IYXGOGHQ","short_pith_number":"pith:4TDO47DB","canonical_record":{"source":{"id":"1201.3190","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-16T09:59:28Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.SP","quant-ph"],"title_canon_sha256":"615f974f903c0a09acaa846c99d6a2026aa7442e83d7b8d3a90426fa51880bbb","abstract_canon_sha256":"62068ec043cb9e70a3d8cc7ca466c775d6a2b2963126b02ed6cdefc067d6174d"},"schema_version":"1.0"},"canonical_sha256":"e4c6ee7c6146b3b2e65417118b99c63c303b71d179183834f336d0f7119f8a33","source":{"kind":"arxiv","id":"1201.3190","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3190","created_at":"2026-05-18T03:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3190v2","created_at":"2026-05-18T03:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3190","created_at":"2026-05-18T03:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"4TDO47DBI2Z3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4TDO47DBI2Z3FZSU","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4TDO47DB","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4TDO47DBI2Z3FZSUC4IYXGOGHQ","target":"record","payload":{"canonical_record":{"source":{"id":"1201.3190","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-16T09:59:28Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.SP","quant-ph"],"title_canon_sha256":"615f974f903c0a09acaa846c99d6a2026aa7442e83d7b8d3a90426fa51880bbb","abstract_canon_sha256":"62068ec043cb9e70a3d8cc7ca466c775d6a2b2963126b02ed6cdefc067d6174d"},"schema_version":"1.0"},"canonical_sha256":"e4c6ee7c6146b3b2e65417118b99c63c303b71d179183834f336d0f7119f8a33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:03.567014Z","signature_b64":"2pBlnv88st6RbqYewwyahs6NyqhXG0zhanYQDTk2PKLu22hT655+rDhuyb9n/j9PiDk72mNPzghkEKaVzdttDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4c6ee7c6146b3b2e65417118b99c63c303b71d179183834f336d0f7119f8a33","last_reissued_at":"2026-05-18T03:15:03.566152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:03.566152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.3190","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":"2026-05-18T03:15:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLtKY3HjchmKu8nmkSzdwZNi1PtTqn/HMLYbkae0COAJqTarCVvO9+5f/U6jY1zRe/PeV6lZ1xFkiE8MHtlvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:36:20.658216Z"},"content_sha256":"8a8362ac7328b6d25e6926ab28f6b7dd64d1275d102460994500773aadbdb675","schema_version":"1.0","event_id":"sha256:8a8362ac7328b6d25e6926ab28f6b7dd64d1275d102460994500773aadbdb675"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4TDO47DBI2Z3FZSUC4IYXGOGHQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Landauer-B\\\"uttiker formula and Schr\\\"odinger conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.SP","quant-ph"],"primary_cat":"math-ph","authors_text":"Claude-Alain Pillet, Laurent Bruneau, Vojkan Jaksic","submitted_at":"2012-01-16T09:59:28Z","abstract_excerpt":"We study the entropy flux in the stationary state of a finite one-dimensional sample S connected at its left and right ends to two infinitely extended reservoirs at distinct temperatures T1, T2 and chemical potentials mu1, mu2. The sample is a free lattice Fermi gas confined to a box [0, L] with energy operator -\\Delta + v. The Landauer-B\\\"uttiker formula expresses the steady state entropy flux in the coupled system in terms of scattering data. We study the behavior of this steady state entropy flux in the limit L->infinity and relate persistence of transport to norm bounds on the transfer mat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3190","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":"2026-05-18T03:15:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDbyGjd4a0JvGTcjhCGfTO/Qm97B0KC1dKqBqkV34aPLQFtBfEkefoqj0olzVaVuDpCMYnqIkdmHKAIjB9UzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:36:20.658932Z"},"content_sha256":"2d422016e8a94f8f7fd452e4d0c80aab8b464506c4ef02a802230d177687fd50","schema_version":"1.0","event_id":"sha256:2d422016e8a94f8f7fd452e4d0c80aab8b464506c4ef02a802230d177687fd50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ/bundle.json","state_url":"https://pith.science/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ/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":"2026-05-27T02:36:20Z","links":{"resolver":"https://pith.science/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ","bundle":"https://pith.science/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ/bundle.json","state":"https://pith.science/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4TDO47DBI2Z3FZSUC4IYXGOGHQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4TDO47DBI2Z3FZSUC4IYXGOGHQ","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":"62068ec043cb9e70a3d8cc7ca466c775d6a2b2963126b02ed6cdefc067d6174d","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.SP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-16T09:59:28Z","title_canon_sha256":"615f974f903c0a09acaa846c99d6a2026aa7442e83d7b8d3a90426fa51880bbb"},"schema_version":"1.0","source":{"id":"1201.3190","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3190","created_at":"2026-05-18T03:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3190v2","created_at":"2026-05-18T03:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3190","created_at":"2026-05-18T03:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"4TDO47DBI2Z3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4TDO47DBI2Z3FZSU","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4TDO47DB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:2d422016e8a94f8f7fd452e4d0c80aab8b464506c4ef02a802230d177687fd50","target":"graph","created_at":"2026-05-18T03:15:03Z","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 entropy flux in the stationary state of a finite one-dimensional sample S connected at its left and right ends to two infinitely extended reservoirs at distinct temperatures T1, T2 and chemical potentials mu1, mu2. The sample is a free lattice Fermi gas confined to a box [0, L] with energy operator -\\Delta + v. The Landauer-B\\\"uttiker formula expresses the steady state entropy flux in the coupled system in terms of scattering data. We study the behavior of this steady state entropy flux in the limit L->infinity and relate persistence of transport to norm bounds on the transfer mat","authors_text":"Claude-Alain Pillet, Laurent Bruneau, Vojkan Jaksic","cross_cats":["cond-mat.stat-mech","math.MP","math.SP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-16T09:59:28Z","title":"Landauer-B\\\"uttiker formula and Schr\\\"odinger conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3190","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":"sha256:8a8362ac7328b6d25e6926ab28f6b7dd64d1275d102460994500773aadbdb675","target":"record","created_at":"2026-05-18T03:15:03Z","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":"62068ec043cb9e70a3d8cc7ca466c775d6a2b2963126b02ed6cdefc067d6174d","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.SP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-16T09:59:28Z","title_canon_sha256":"615f974f903c0a09acaa846c99d6a2026aa7442e83d7b8d3a90426fa51880bbb"},"schema_version":"1.0","source":{"id":"1201.3190","kind":"arxiv","version":2}},"canonical_sha256":"e4c6ee7c6146b3b2e65417118b99c63c303b71d179183834f336d0f7119f8a33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4c6ee7c6146b3b2e65417118b99c63c303b71d179183834f336d0f7119f8a33","first_computed_at":"2026-05-18T03:15:03.566152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:03.566152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2pBlnv88st6RbqYewwyahs6NyqhXG0zhanYQDTk2PKLu22hT655+rDhuyb9n/j9PiDk72mNPzghkEKaVzdttDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:03.567014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.3190","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a8362ac7328b6d25e6926ab28f6b7dd64d1275d102460994500773aadbdb675","sha256:2d422016e8a94f8f7fd452e4d0c80aab8b464506c4ef02a802230d177687fd50"],"state_sha256":"4e62d193bb96afa7da6268902ad98c29da87bff6a4b612b80a208bbb600c8ac2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4gRDyvKeZFZUOgEI8Zd7nmfhBgR7Ct2P+iN9vXtUMxjc0jBdHRwMRonxWlSXc00k0OouYFGbd5CecL49/8Z3CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:36:20.662758Z","bundle_sha256":"e9b4c89581f07bd398347df3b13fe74960c14c1434a7d49c463215a3787dd4a0"}}