{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:A5HCHLTGLSNCZEPUFJIV26ZPFA","short_pith_number":"pith:A5HCHLTG","canonical_record":{"source":{"id":"1305.1448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-07T09:44:13Z","cross_cats_sorted":[],"title_canon_sha256":"c492000012aa82126b2f121a641cda68a46ffdac12b2f04449ef2088f8f0d963","abstract_canon_sha256":"1833ca961cbad06f1e33f86753035a188f372383779b2cf2586435241d0b5990"},"schema_version":"1.0"},"canonical_sha256":"074e23ae665c9a2c91f42a515d7b2f2809ac84bc7851ecb3220a65897d8b3a13","source":{"kind":"arxiv","id":"1305.1448","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1448","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1448v1","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1448","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"A5HCHLTGLSNC","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"A5HCHLTGLSNCZEPU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"A5HCHLTG","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:A5HCHLTGLSNCZEPUFJIV26ZPFA","target":"record","payload":{"canonical_record":{"source":{"id":"1305.1448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-07T09:44:13Z","cross_cats_sorted":[],"title_canon_sha256":"c492000012aa82126b2f121a641cda68a46ffdac12b2f04449ef2088f8f0d963","abstract_canon_sha256":"1833ca961cbad06f1e33f86753035a188f372383779b2cf2586435241d0b5990"},"schema_version":"1.0"},"canonical_sha256":"074e23ae665c9a2c91f42a515d7b2f2809ac84bc7851ecb3220a65897d8b3a13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:18.508327Z","signature_b64":"IbjyRCQVK/x/sgBA3AUzy+7QlanL5zReHk965GrigUjult57v9m8NjBSjx5+DdWRyZhi2AGf9vsK7jPIbCzPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"074e23ae665c9a2c91f42a515d7b2f2809ac84bc7851ecb3220a65897d8b3a13","last_reissued_at":"2026-05-18T03:05:18.507787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:18.507787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.1448","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":"2026-05-18T03:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UMJfIAHvdXsxO9N3ATbJf58GqrJF4N72iuaFxdcTleqUSq8aFB5cpReK6sBL+W3Tz6UJ68vqSAodQHJBnxPwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:18:57.316535Z"},"content_sha256":"df08fbf4ea00996684e77bded341bc2f671ae4e3d6303a29c938f0a552c8e17a","schema_version":"1.0","event_id":"sha256:df08fbf4ea00996684e77bded341bc2f671ae4e3d6303a29c938f0a552c8e17a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:A5HCHLTGLSNCZEPUFJIV26ZPFA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"J.-N. Fuchs, M. O. Goerbig, R. Rold\\'an","submitted_at":"2013-05-07T09:44:13Z","abstract_excerpt":"The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in the presence of a perpendicular magnetic field. The results for graphene are compared to those for a standard two-dimensional gas of massive electrons. We further compare the results within the classical hydrodynamic approach to the full quantum mechanical calculation in the random phase approximation. The low-energy dispersion relation is shown to be a good a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1448","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":"2026-05-18T03:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"slB4Lpymv+YACsmzczWZ2vpCDhrqy3fYMtitvF7J5VrrldBKuBYqhPRlGfStaFxZM+7VIOuWuL3mDu7z3S7uBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:18:57.316878Z"},"content_sha256":"d35e97a105decfeae65a7e7e09f69327544e4968626c28c360787a3d6ca18318","schema_version":"1.0","event_id":"sha256:d35e97a105decfeae65a7e7e09f69327544e4968626c28c360787a3d6ca18318"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA/bundle.json","state_url":"https://pith.science/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA/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":"2026-06-05T10:18:57Z","links":{"resolver":"https://pith.science/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA","bundle":"https://pith.science/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA/bundle.json","state":"https://pith.science/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5HCHLTGLSNCZEPUFJIV26ZPFA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:A5HCHLTGLSNCZEPUFJIV26ZPFA","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":"1833ca961cbad06f1e33f86753035a188f372383779b2cf2586435241d0b5990","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-07T09:44:13Z","title_canon_sha256":"c492000012aa82126b2f121a641cda68a46ffdac12b2f04449ef2088f8f0d963"},"schema_version":"1.0","source":{"id":"1305.1448","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1448","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1448v1","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1448","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"A5HCHLTGLSNC","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"A5HCHLTGLSNCZEPU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"A5HCHLTG","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:d35e97a105decfeae65a7e7e09f69327544e4968626c28c360787a3d6ca18318","target":"graph","created_at":"2026-05-18T03:05:18Z","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":"The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in the presence of a perpendicular magnetic field. The results for graphene are compared to those for a standard two-dimensional gas of massive electrons. We further compare the results within the classical hydrodynamic approach to the full quantum mechanical calculation in the random phase approximation. The low-energy dispersion relation is shown to be a good a","authors_text":"J.-N. Fuchs, M. O. Goerbig, R. Rold\\'an","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-07T09:44:13Z","title":"Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1448","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:df08fbf4ea00996684e77bded341bc2f671ae4e3d6303a29c938f0a552c8e17a","target":"record","created_at":"2026-05-18T03:05:18Z","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":"1833ca961cbad06f1e33f86753035a188f372383779b2cf2586435241d0b5990","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-07T09:44:13Z","title_canon_sha256":"c492000012aa82126b2f121a641cda68a46ffdac12b2f04449ef2088f8f0d963"},"schema_version":"1.0","source":{"id":"1305.1448","kind":"arxiv","version":1}},"canonical_sha256":"074e23ae665c9a2c91f42a515d7b2f2809ac84bc7851ecb3220a65897d8b3a13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"074e23ae665c9a2c91f42a515d7b2f2809ac84bc7851ecb3220a65897d8b3a13","first_computed_at":"2026-05-18T03:05:18.507787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:18.507787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IbjyRCQVK/x/sgBA3AUzy+7QlanL5zReHk965GrigUjult57v9m8NjBSjx5+DdWRyZhi2AGf9vsK7jPIbCzPBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:18.508327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1448","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df08fbf4ea00996684e77bded341bc2f671ae4e3d6303a29c938f0a552c8e17a","sha256:d35e97a105decfeae65a7e7e09f69327544e4968626c28c360787a3d6ca18318"],"state_sha256":"17869f45d575c4810e5056ecf0839b3b0a3afce75ea8278a989c7bb405eebf4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmG2W5GLkajHIrk/MsvPCAfLbotjGJvrj+zK0X5C9ZlPNoL/fEadKEVkIwRXMqJOrvANwvDQHjldNtvhjYtTDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:18:57.318846Z","bundle_sha256":"32a6429f3c960d0720240e808d8456433ed2945a899e382b1ebfaf733724df5f"}}