{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:64EOQ5C75WGLMEBAXBVGOB2XG4","short_pith_number":"pith:64EOQ5C7","canonical_record":{"source":{"id":"1905.10185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-23T11:54:10Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"293bd81cfa7f6027e4042362432f4dc84051a1de74e2310ff332cb38e5519396","abstract_canon_sha256":"fea5caac69ae938f2a79957c795373eb29b4def0fcc14a24be4546c1bdae1ba5"},"schema_version":"1.0"},"canonical_sha256":"f708e8745fed8cb61020b86a670757371a13d7f58047f997eb8847cae4c6db35","source":{"kind":"arxiv","id":"1905.10185","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10185","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10185v1","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10185","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"pith_short_12","alias_value":"64EOQ5C75WGL","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"64EOQ5C75WGLMEBA","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"64EOQ5C7","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:64EOQ5C75WGLMEBAXBVGOB2XG4","target":"record","payload":{"canonical_record":{"source":{"id":"1905.10185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-23T11:54:10Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"293bd81cfa7f6027e4042362432f4dc84051a1de74e2310ff332cb38e5519396","abstract_canon_sha256":"fea5caac69ae938f2a79957c795373eb29b4def0fcc14a24be4546c1bdae1ba5"},"schema_version":"1.0"},"canonical_sha256":"f708e8745fed8cb61020b86a670757371a13d7f58047f997eb8847cae4c6db35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:11.044981Z","signature_b64":"OCjx7scX1pHLEoqoXA4dLn2TfmWcn9DQe9Kwn5zToAtXuB4pee5jDznnBcGGY7G8YZAf72CrHwbhAPH+vjzTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f708e8745fed8cb61020b86a670757371a13d7f58047f997eb8847cae4c6db35","last_reissued_at":"2026-05-17T23:45:11.044307Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:11.044307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.10185","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":"2026-05-17T23:45:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CcXmIECk9DdXRCdnVUDzba+EOybEcyXFPEh5HZD6zHvDyJRCFQ/tTGlwzQ/E5TuYZFV5xsQbomMDxnibx/7HCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:02:51.991436Z"},"content_sha256":"2cdf573c266c636ed0e4149eaf6b5b94c0cc6d56ee7a6ba4577ad3f45b18ccb8","schema_version":"1.0","event_id":"sha256:2cdf573c266c636ed0e4149eaf6b5b94c0cc6d56ee7a6ba4577ad3f45b18ccb8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:64EOQ5C75WGLMEBAXBVGOB2XG4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nicola Zamponi","submitted_at":"2019-05-23T11:54:10Z","abstract_excerpt":"We derive some fluid-dynamic models for electron transport near a Dirac point in graphene. We start from a kinetic model constituted by a set of spinorial Wigner equations, we make suitable scalings (hydrodynamic or diffusive) of the model and we build moment equations, which we close through a minimum entropy principle. In order to do this we make some assumptions: the usual semiclassical approximation ($\\hbar\\ll 1$), and two further hypothesis, namely Low Scaled Fermi Speed (LSFS) and Strongly Mixed State (SMS), which allow us to explicitly compute the closure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10185","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":"2026-05-17T23:45:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wOnuh1eNNtoGS/gD6JadESgtc/rR/16+TLgi6Cm+eYeGCA19Sqxn6l2cTMuLkoBLHNRWmIMwT4QAZz16BXMKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:02:51.992124Z"},"content_sha256":"dab66ed7b7b486c791be7cff51de59d8671b58835a5ff0b2b480a23661d2c0ae","schema_version":"1.0","event_id":"sha256:dab66ed7b7b486c791be7cff51de59d8671b58835a5ff0b2b480a23661d2c0ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/64EOQ5C75WGLMEBAXBVGOB2XG4/bundle.json","state_url":"https://pith.science/pith/64EOQ5C75WGLMEBAXBVGOB2XG4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/64EOQ5C75WGLMEBAXBVGOB2XG4/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":"2026-06-11T23:02:51Z","links":{"resolver":"https://pith.science/pith/64EOQ5C75WGLMEBAXBVGOB2XG4","bundle":"https://pith.science/pith/64EOQ5C75WGLMEBAXBVGOB2XG4/bundle.json","state":"https://pith.science/pith/64EOQ5C75WGLMEBAXBVGOB2XG4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/64EOQ5C75WGLMEBAXBVGOB2XG4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:64EOQ5C75WGLMEBAXBVGOB2XG4","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":"fea5caac69ae938f2a79957c795373eb29b4def0fcc14a24be4546c1bdae1ba5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-23T11:54:10Z","title_canon_sha256":"293bd81cfa7f6027e4042362432f4dc84051a1de74e2310ff332cb38e5519396"},"schema_version":"1.0","source":{"id":"1905.10185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10185","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10185v1","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10185","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"pith_short_12","alias_value":"64EOQ5C75WGL","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"64EOQ5C75WGLMEBA","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"64EOQ5C7","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:dab66ed7b7b486c791be7cff51de59d8671b58835a5ff0b2b480a23661d2c0ae","target":"graph","created_at":"2026-05-17T23:45:11Z","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 derive some fluid-dynamic models for electron transport near a Dirac point in graphene. We start from a kinetic model constituted by a set of spinorial Wigner equations, we make suitable scalings (hydrodynamic or diffusive) of the model and we build moment equations, which we close through a minimum entropy principle. In order to do this we make some assumptions: the usual semiclassical approximation ($\\hbar\\ll 1$), and two further hypothesis, namely Low Scaled Fermi Speed (LSFS) and Strongly Mixed State (SMS), which allow us to explicitly compute the closure.","authors_text":"Nicola Zamponi","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-23T11:54:10Z","title":"Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10185","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":"sha256:2cdf573c266c636ed0e4149eaf6b5b94c0cc6d56ee7a6ba4577ad3f45b18ccb8","target":"record","created_at":"2026-05-17T23:45:11Z","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":"fea5caac69ae938f2a79957c795373eb29b4def0fcc14a24be4546c1bdae1ba5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-23T11:54:10Z","title_canon_sha256":"293bd81cfa7f6027e4042362432f4dc84051a1de74e2310ff332cb38e5519396"},"schema_version":"1.0","source":{"id":"1905.10185","kind":"arxiv","version":1}},"canonical_sha256":"f708e8745fed8cb61020b86a670757371a13d7f58047f997eb8847cae4c6db35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f708e8745fed8cb61020b86a670757371a13d7f58047f997eb8847cae4c6db35","first_computed_at":"2026-05-17T23:45:11.044307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:11.044307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OCjx7scX1pHLEoqoXA4dLn2TfmWcn9DQe9Kwn5zToAtXuB4pee5jDznnBcGGY7G8YZAf72CrHwbhAPH+vjzTBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:11.044981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cdf573c266c636ed0e4149eaf6b5b94c0cc6d56ee7a6ba4577ad3f45b18ccb8","sha256:dab66ed7b7b486c791be7cff51de59d8671b58835a5ff0b2b480a23661d2c0ae"],"state_sha256":"5f2b1001fd35a1bd9dfa18593c3c50d6a60f9bcb3ada578c86849beb942d67cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXhwTrff2uhT3AsiAd2ElkD6ycftR6rSm6h74qgJFhowS37ppMkII1D6Bpyw7FTmlyChXmiDPiff7+lg2P79Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:02:51.997903Z","bundle_sha256":"63bea9e3a7a6cd4e4118cdba288ed92eb1ba18f3d70f5f5541d6d8a154c996b0"}}