{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VHSEPPJQWHRTTVFXHUDGUTH35B","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":"3957924f977f36afe91816640ea6ebdf8059541778fe9c6b2e18c33a9f70b226","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2017-07-19T00:07:13Z","title_canon_sha256":"b0ada8b40d0c0abd0d30355803f8f6c7442dc5048fbbf8c050b7ed160f72bf22"},"schema_version":"1.0","source":{"id":"1707.05901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05901","created_at":"2026-05-18T00:39:59Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05901v1","created_at":"2026-05-18T00:39:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05901","created_at":"2026-05-18T00:39:59Z"},{"alias_kind":"pith_short_12","alias_value":"VHSEPPJQWHRT","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VHSEPPJQWHRTTVFX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VHSEPPJQ","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:25d3de6f017bbcd7466bd07114760d9d5fac0ed4219307d1fe364b0e8bd8cc2c","target":"graph","created_at":"2026-05-18T00:39:59Z","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":"Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this paper investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase space, reduction of the resulting system of partial differential equations to five dimensions via gyroaveraging poses a challenge. Based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth-MacDonald-Judd pote","authors_text":"Alain J. Brizard, David Pfefferl\\'e, Eero Hirvijoki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2017-07-19T00:07:13Z","title":"Differential formulation of the gyrokinetic Landau operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05901","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":"sha256:2cee4f49997dae211a19609144cca2c6863649855920dd2db5fda2d1d2e1bd5f","target":"record","created_at":"2026-05-18T00:39:59Z","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":"3957924f977f36afe91816640ea6ebdf8059541778fe9c6b2e18c33a9f70b226","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2017-07-19T00:07:13Z","title_canon_sha256":"b0ada8b40d0c0abd0d30355803f8f6c7442dc5048fbbf8c050b7ed160f72bf22"},"schema_version":"1.0","source":{"id":"1707.05901","kind":"arxiv","version":1}},"canonical_sha256":"a9e447bd30b1e339d4b73d066a4cfbe87044f509690204a4dbc83143fae1117b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9e447bd30b1e339d4b73d066a4cfbe87044f509690204a4dbc83143fae1117b","first_computed_at":"2026-05-18T00:39:59.002747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:59.002747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E02UYOQyBkqSrqhp0dJZYwp5fvM6cEKjtol78JyJz9pi0R7KgrrmWRo6yFS8aiOHZWiM2KhnXicms461BPnoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:59.003250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cee4f49997dae211a19609144cca2c6863649855920dd2db5fda2d1d2e1bd5f","sha256:25d3de6f017bbcd7466bd07114760d9d5fac0ed4219307d1fe364b0e8bd8cc2c"],"state_sha256":"009cf1358305688ad67854963a14b30e0baaac215887942d1df48929ad0861e6"}