{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZSTBRFHOQW6U3FPTZOQVWFGNSD","short_pith_number":"pith:ZSTBRFHO","canonical_record":{"source":{"id":"2404.19602","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-04-30T14:52:15Z","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"title_canon_sha256":"3d534bd1d6859287d489a495f0047df49d8a7eeb8cc207f7e71746df82763934","abstract_canon_sha256":"2a8ba2bbb79f40f0bca8a0057f96275b09989e728e04a3caa3287e509367b6bf"},"schema_version":"1.0"},"canonical_sha256":"cca61894ee85bd4d95f3cba15b14cd90f1668c4c49edbf1313411d3c83c063df","source":{"kind":"arxiv","id":"2404.19602","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.19602","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"arxiv_version","alias_value":"2404.19602v2","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.19602","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZSTBRFHOQW6U","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"pith_short_16","alias_value":"ZSTBRFHOQW6U3FPT","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"pith_short_8","alias_value":"ZSTBRFHO","created_at":"2026-07-05T09:59:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZSTBRFHOQW6U3FPTZOQVWFGNSD","target":"record","payload":{"canonical_record":{"source":{"id":"2404.19602","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-04-30T14:52:15Z","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"title_canon_sha256":"3d534bd1d6859287d489a495f0047df49d8a7eeb8cc207f7e71746df82763934","abstract_canon_sha256":"2a8ba2bbb79f40f0bca8a0057f96275b09989e728e04a3caa3287e509367b6bf"},"schema_version":"1.0"},"canonical_sha256":"cca61894ee85bd4d95f3cba15b14cd90f1668c4c49edbf1313411d3c83c063df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:46.152110Z","signature_b64":"73RVSc9GtmVd7hNmSK2YZ9AspxccjhGhy0KFmntRqLpRZ0t3kOccH6/8u8XhxzvVPCpRx1dwPsJy+4r7CCe3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cca61894ee85bd4d95f3cba15b14cd90f1668c4c49edbf1313411d3c83c063df","last_reissued_at":"2026-07-05T09:59:46.151554Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:46.151554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.19602","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":"2026-07-05T09:59:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r9XCV3KmiG20BrCRIEFnul+XZz91pFrDfhK7Yh9N1hFU/0FMzwkCk3cRYNmKYS5l+ekiQ0kUODlJXOOVTJHvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T21:06:42.510821Z"},"content_sha256":"dc55a54f3f0d31d61563df8eea71eb2ce54ed18850b956976effa644e2fa1c11","schema_version":"1.0","event_id":"sha256:dc55a54f3f0d31d61563df8eea71eb2ce54ed18850b956976effa644e2fa1c11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZSTBRFHOQW6U3FPTZOQVWFGNSD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uncertainty quantification for charge transport in GNRs through particle Galerkin methods for the semiclassical Boltzmann equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.app-ph"],"primary_cat":"physics.comp-ph","authors_text":"Andrea Medaglia, Giovanni Nastasi, Mattia Zanella, Vittorio Romano","submitted_at":"2024-04-30T14:52:15Z","abstract_excerpt":"In this article, we investigate some issues related to the quantification of uncertainties associated with the electrical properties of graphene nanoribbons. The approach is suited to understand the effects of missing information linked to the difficulty of fixing some material parameters, such as the band gap, and the strength of the applied electric field. In particular, we focus on the extension of particle Galerkin methods for kinetic equations in the case of the semiclassical Boltzmann equation for charge transport in graphene nanoribbons with uncertainties. To this end, we develop an eff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.19602","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.19602/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:59:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PORgIstDgnfnL1izmpxONK8e4KPsLPT4/lpVjZvMO4sGLhzKgRIBJNIq0X53dQ/Hz+4O31pgzoHf1113bM6KCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T21:06:42.511910Z"},"content_sha256":"85899701a90a9ba8dc32c59c28107bae698e29744833b9051b4e8114ff17cdff","schema_version":"1.0","event_id":"sha256:85899701a90a9ba8dc32c59c28107bae698e29744833b9051b4e8114ff17cdff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD/bundle.json","state_url":"https://pith.science/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD/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":"2026-08-10T21:06:42Z","links":{"resolver":"https://pith.science/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD","bundle":"https://pith.science/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD/bundle.json","state":"https://pith.science/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZSTBRFHOQW6U3FPTZOQVWFGNSD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZSTBRFHOQW6U3FPTZOQVWFGNSD","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":"2a8ba2bbb79f40f0bca8a0057f96275b09989e728e04a3caa3287e509367b6bf","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-04-30T14:52:15Z","title_canon_sha256":"3d534bd1d6859287d489a495f0047df49d8a7eeb8cc207f7e71746df82763934"},"schema_version":"1.0","source":{"id":"2404.19602","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.19602","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"arxiv_version","alias_value":"2404.19602v2","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.19602","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZSTBRFHOQW6U","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"pith_short_16","alias_value":"ZSTBRFHOQW6U3FPT","created_at":"2026-07-05T09:59:46Z"},{"alias_kind":"pith_short_8","alias_value":"ZSTBRFHO","created_at":"2026-07-05T09:59:46Z"}],"graph_snapshots":[{"event_id":"sha256:85899701a90a9ba8dc32c59c28107bae698e29744833b9051b4e8114ff17cdff","target":"graph","created_at":"2026-07-05T09:59:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.19602/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we investigate some issues related to the quantification of uncertainties associated with the electrical properties of graphene nanoribbons. The approach is suited to understand the effects of missing information linked to the difficulty of fixing some material parameters, such as the band gap, and the strength of the applied electric field. In particular, we focus on the extension of particle Galerkin methods for kinetic equations in the case of the semiclassical Boltzmann equation for charge transport in graphene nanoribbons with uncertainties. To this end, we develop an eff","authors_text":"Andrea Medaglia, Giovanni Nastasi, Mattia Zanella, Vittorio Romano","cross_cats":["cs.NA","math.NA","physics.app-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-04-30T14:52:15Z","title":"Uncertainty quantification for charge transport in GNRs through particle Galerkin methods for the semiclassical Boltzmann equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.19602","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:dc55a54f3f0d31d61563df8eea71eb2ce54ed18850b956976effa644e2fa1c11","target":"record","created_at":"2026-07-05T09:59:46Z","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":"2a8ba2bbb79f40f0bca8a0057f96275b09989e728e04a3caa3287e509367b6bf","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-04-30T14:52:15Z","title_canon_sha256":"3d534bd1d6859287d489a495f0047df49d8a7eeb8cc207f7e71746df82763934"},"schema_version":"1.0","source":{"id":"2404.19602","kind":"arxiv","version":2}},"canonical_sha256":"cca61894ee85bd4d95f3cba15b14cd90f1668c4c49edbf1313411d3c83c063df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cca61894ee85bd4d95f3cba15b14cd90f1668c4c49edbf1313411d3c83c063df","first_computed_at":"2026-07-05T09:59:46.151554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:46.151554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"73RVSc9GtmVd7hNmSK2YZ9AspxccjhGhy0KFmntRqLpRZ0t3kOccH6/8u8XhxzvVPCpRx1dwPsJy+4r7CCe3BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:46.152110Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.19602","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc55a54f3f0d31d61563df8eea71eb2ce54ed18850b956976effa644e2fa1c11","sha256:85899701a90a9ba8dc32c59c28107bae698e29744833b9051b4e8114ff17cdff"],"state_sha256":"2941b6aae8e9b9dad1113763f496b018d1ddacacae698482d63200955bfae0c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qTjSsBWcv7rR9TLEmzXoB2E4NN9bjuvQ+O8KYq34Yl+uWVuxuYgdwGjdEQCENpaEy8aXrN/wccrsZhKfhzqUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T21:06:42.517816Z","bundle_sha256":"f18c82156a4cc4722e45a6cb900afbc3f505f348cc62a49a19f26593135313ea"}}