{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LHKPJVRMWGEUUT2UH7TKYMUPFQ","short_pith_number":"pith:LHKPJVRM","canonical_record":{"source":{"id":"1704.02845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-10T13:10:50Z","cross_cats_sorted":[],"title_canon_sha256":"961c9e9a73e45394dd7b2472c4072e5ea2992da3a6e2df35465d0c9482a78529","abstract_canon_sha256":"7f9b445bf4d49498406215191bc6d17e7c45e9a75e84d7cd2a79b27c1f0a4cc1"},"schema_version":"1.0"},"canonical_sha256":"59d4f4d62cb1894a4f543fe6ac328f2c24230b3d50ae3179eaa58194936017ec","source":{"kind":"arxiv","id":"1704.02845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02845","created_at":"2026-05-18T00:46:44Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02845v1","created_at":"2026-05-18T00:46:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02845","created_at":"2026-05-18T00:46:44Z"},{"alias_kind":"pith_short_12","alias_value":"LHKPJVRMWGEU","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LHKPJVRMWGEUUT2U","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LHKPJVRM","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LHKPJVRMWGEUUT2UH7TKYMUPFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1704.02845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-10T13:10:50Z","cross_cats_sorted":[],"title_canon_sha256":"961c9e9a73e45394dd7b2472c4072e5ea2992da3a6e2df35465d0c9482a78529","abstract_canon_sha256":"7f9b445bf4d49498406215191bc6d17e7c45e9a75e84d7cd2a79b27c1f0a4cc1"},"schema_version":"1.0"},"canonical_sha256":"59d4f4d62cb1894a4f543fe6ac328f2c24230b3d50ae3179eaa58194936017ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:44.236367Z","signature_b64":"qpX4Kc4D0x7pcspwFEF/YGusUzwf+y0FvEGv5yJTs+BbGfv6uK271m/Gjk7l7xwSyTGoAgKnAAhgSnzzK8v8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59d4f4d62cb1894a4f543fe6ac328f2c24230b3d50ae3179eaa58194936017ec","last_reissued_at":"2026-05-18T00:46:44.235731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:44.235731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.02845","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":"2026-05-18T00:46:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kt/cjNcPMWbhF6/GXCmA4yNJbrr/SS7brBsDAbpVW5um6G90SNxVhpkWeeFTR3Ei7cYZCGrfSyOoDSo4odN2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:04:53.879534Z"},"content_sha256":"41c018a04254ca645b1116ac32f3a6de2269dd641ccaf389af95473fc6ce4abd","schema_version":"1.0","event_id":"sha256:41c018a04254ca645b1116ac32f3a6de2269dd641ccaf389af95473fc6ce4abd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LHKPJVRMWGEUUT2UH7TKYMUPFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-transport systems for optical lattices: derivation, analysis, simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ansgar J\\\"ungel, Marcel Braukhoff","submitted_at":"2017-04-10T13:10:50Z","abstract_excerpt":"Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow structure like in the case of the energy-transport equations for semiconductors. At the zeroth-order high temperature limit, the energy-transport equations reduce to the whole-space logarithmic diffusion equation which has some unphysical properties. Therefore, the first-order expansion is derived and analyzed. The existence of weak solutions to the time-di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02845","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":"2026-05-18T00:46:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SKIMUSTaNUN50S6+myeJ90K9JYrvM0BpWGRmXPmrovsYz2JznKoNGc5oxct8c1Da8Z8Y1LOiLcdsM731lZNFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:04:53.879872Z"},"content_sha256":"9431f55f419da5d05c76e9c6b8614d2ae1cb2a3c983dec472054758908a30665","schema_version":"1.0","event_id":"sha256:9431f55f419da5d05c76e9c6b8614d2ae1cb2a3c983dec472054758908a30665"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ/bundle.json","state_url":"https://pith.science/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ/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":"2026-06-27T05:04:53Z","links":{"resolver":"https://pith.science/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ","bundle":"https://pith.science/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ/bundle.json","state":"https://pith.science/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LHKPJVRMWGEUUT2UH7TKYMUPFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LHKPJVRMWGEUUT2UH7TKYMUPFQ","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":"7f9b445bf4d49498406215191bc6d17e7c45e9a75e84d7cd2a79b27c1f0a4cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-10T13:10:50Z","title_canon_sha256":"961c9e9a73e45394dd7b2472c4072e5ea2992da3a6e2df35465d0c9482a78529"},"schema_version":"1.0","source":{"id":"1704.02845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02845","created_at":"2026-05-18T00:46:44Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02845v1","created_at":"2026-05-18T00:46:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02845","created_at":"2026-05-18T00:46:44Z"},{"alias_kind":"pith_short_12","alias_value":"LHKPJVRMWGEU","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LHKPJVRMWGEUUT2U","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LHKPJVRM","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:9431f55f419da5d05c76e9c6b8614d2ae1cb2a3c983dec472054758908a30665","target":"graph","created_at":"2026-05-18T00:46:44Z","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":"Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow structure like in the case of the energy-transport equations for semiconductors. At the zeroth-order high temperature limit, the energy-transport equations reduce to the whole-space logarithmic diffusion equation which has some unphysical properties. Therefore, the first-order expansion is derived and analyzed. The existence of weak solutions to the time-di","authors_text":"Ansgar J\\\"ungel, Marcel Braukhoff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-10T13:10:50Z","title":"Energy-transport systems for optical lattices: derivation, analysis, simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02845","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":"sha256:41c018a04254ca645b1116ac32f3a6de2269dd641ccaf389af95473fc6ce4abd","target":"record","created_at":"2026-05-18T00:46:44Z","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":"7f9b445bf4d49498406215191bc6d17e7c45e9a75e84d7cd2a79b27c1f0a4cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-10T13:10:50Z","title_canon_sha256":"961c9e9a73e45394dd7b2472c4072e5ea2992da3a6e2df35465d0c9482a78529"},"schema_version":"1.0","source":{"id":"1704.02845","kind":"arxiv","version":1}},"canonical_sha256":"59d4f4d62cb1894a4f543fe6ac328f2c24230b3d50ae3179eaa58194936017ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59d4f4d62cb1894a4f543fe6ac328f2c24230b3d50ae3179eaa58194936017ec","first_computed_at":"2026-05-18T00:46:44.235731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:44.235731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qpX4Kc4D0x7pcspwFEF/YGusUzwf+y0FvEGv5yJTs+BbGfv6uK271m/Gjk7l7xwSyTGoAgKnAAhgSnzzK8v8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:44.236367Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41c018a04254ca645b1116ac32f3a6de2269dd641ccaf389af95473fc6ce4abd","sha256:9431f55f419da5d05c76e9c6b8614d2ae1cb2a3c983dec472054758908a30665"],"state_sha256":"f42d057291192a9eca10805516b9c79edc67ae79ac538bc01db0e0fc39656850"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+95g0+U8uz/rk9XbDpkydNOWAJ9dMuamQetLuRnz+LAjnvSjQK+HPdaE9lj6Pg/9rv11pZO+uHwECcNkuiRVCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T05:04:53.881957Z","bundle_sha256":"cd08047d5fcd8b23cb3869774000ee01d8d165c505debd3d817c07fd96cc1c8c"}}