{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ARPFP2B3MMDEIFIWWWMWQNK3G5","short_pith_number":"pith:ARPFP2B3","canonical_record":{"source":{"id":"1204.1509","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-04-06T16:14:02Z","cross_cats_sorted":[],"title_canon_sha256":"9939161977d1c9c852b6bef71ecd4fa8297b6aef4646a08113156b7539c18893","abstract_canon_sha256":"685af88fd06b233e1fd0b9ac7f44b58a304466b24ecfb5e5595bfbe040272ce3"},"schema_version":"1.0"},"canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","source":{"kind":"arxiv","id":"1204.1509","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1509","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1509v4","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1509","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"ARPFP2B3MMDE","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ARPFP2B3MMDEIFIW","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ARPFP2B3","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ARPFP2B3MMDEIFIWWWMWQNK3G5","target":"record","payload":{"canonical_record":{"source":{"id":"1204.1509","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-04-06T16:14:02Z","cross_cats_sorted":[],"title_canon_sha256":"9939161977d1c9c852b6bef71ecd4fa8297b6aef4646a08113156b7539c18893","abstract_canon_sha256":"685af88fd06b233e1fd0b9ac7f44b58a304466b24ecfb5e5595bfbe040272ce3"},"schema_version":"1.0"},"canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:56.120015Z","signature_b64":"f8c7xvACVtZeeGL9n/xM7GBb064IlWOD6z60WxnNHyrrB3vaXx5CXcJk3uj8wt5z/eXqX16EceSCBtlx9yHACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","last_reissued_at":"2026-05-18T01:57:56.119278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:56.119278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.1509","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DLh82AFQOuXB7KouwBsAgRRqWhnt7WuWkoAln8RP2NC20ZmFBpxhUto4SlLcqfI11hIX0p8lOfmvP8rZ20LaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:29:48.217410Z"},"content_sha256":"bf9e12fbdc45204cd49f72af39574538e5cb98fe1b5b372b648befd884fc4f9c","schema_version":"1.0","event_id":"sha256:bf9e12fbdc45204cd49f72af39574538e5cb98fe1b5b372b648befd884fc4f9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ARPFP2B3MMDEIFIWWWMWQNK3G5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long-wavelength limit of gyrokinetics in a turbulent tokamak and its intrinsic ambipolarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Felix I. Parra, Ivan Calvo","submitted_at":"2012-04-06T16:14:02Z","abstract_excerpt":"Recently, the electrostatic gyrokinetic Hamiltonian and change of coordinates have been computed to order $\\epsilon^2$ in general magnetic geometry. Here $\\epsilon$ is the gyrokinetic expansion parameter, the gyroradius over the macroscopic scale length. Starting from these results, the long-wavelength limit of the gyrokinetic Fokker-Planck and quasineutrality equations is taken for tokamak geometry. Employing the set of equations derived in the present article, it is possible to calculate the long-wavelength components of the distribution functions and of the poloidal electric field to order "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1509","kind":"arxiv","version":4},"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":"2026-05-18T01:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8QfTQu0i363EbXRKtoRYDQWSvQyPdHodDn7wmCTRRmL4zFKjSc+Sgp6E+AN5r1OAhrSRf/nPv4D8tXDpdPGDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:29:48.217779Z"},"content_sha256":"512d60aead058cd9062a75c56c60d7b255ee306420161c6d6b5266045df033c3","schema_version":"1.0","event_id":"sha256:512d60aead058cd9062a75c56c60d7b255ee306420161c6d6b5266045df033c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/bundle.json","state_url":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/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":"2026-05-31T14:29:48Z","links":{"resolver":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5","bundle":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/bundle.json","state":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ARPFP2B3MMDEIFIWWWMWQNK3G5","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":"685af88fd06b233e1fd0b9ac7f44b58a304466b24ecfb5e5595bfbe040272ce3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-04-06T16:14:02Z","title_canon_sha256":"9939161977d1c9c852b6bef71ecd4fa8297b6aef4646a08113156b7539c18893"},"schema_version":"1.0","source":{"id":"1204.1509","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1509","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1509v4","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1509","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"ARPFP2B3MMDE","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ARPFP2B3MMDEIFIW","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ARPFP2B3","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:512d60aead058cd9062a75c56c60d7b255ee306420161c6d6b5266045df033c3","target":"graph","created_at":"2026-05-18T01:57:56Z","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":"Recently, the electrostatic gyrokinetic Hamiltonian and change of coordinates have been computed to order $\\epsilon^2$ in general magnetic geometry. Here $\\epsilon$ is the gyrokinetic expansion parameter, the gyroradius over the macroscopic scale length. Starting from these results, the long-wavelength limit of the gyrokinetic Fokker-Planck and quasineutrality equations is taken for tokamak geometry. Employing the set of equations derived in the present article, it is possible to calculate the long-wavelength components of the distribution functions and of the poloidal electric field to order ","authors_text":"Felix I. Parra, Ivan Calvo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-04-06T16:14:02Z","title":"Long-wavelength limit of gyrokinetics in a turbulent tokamak and its intrinsic ambipolarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1509","kind":"arxiv","version":4},"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:bf9e12fbdc45204cd49f72af39574538e5cb98fe1b5b372b648befd884fc4f9c","target":"record","created_at":"2026-05-18T01:57:56Z","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":"685af88fd06b233e1fd0b9ac7f44b58a304466b24ecfb5e5595bfbe040272ce3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-04-06T16:14:02Z","title_canon_sha256":"9939161977d1c9c852b6bef71ecd4fa8297b6aef4646a08113156b7539c18893"},"schema_version":"1.0","source":{"id":"1204.1509","kind":"arxiv","version":4}},"canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","first_computed_at":"2026-05-18T01:57:56.119278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:56.119278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f8c7xvACVtZeeGL9n/xM7GBb064IlWOD6z60WxnNHyrrB3vaXx5CXcJk3uj8wt5z/eXqX16EceSCBtlx9yHACA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:56.120015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1509","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf9e12fbdc45204cd49f72af39574538e5cb98fe1b5b372b648befd884fc4f9c","sha256:512d60aead058cd9062a75c56c60d7b255ee306420161c6d6b5266045df033c3"],"state_sha256":"e887f2df2a23a974592c9405fde98e5c2a16e161623a569f5e9fffe451b68c64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fsrm5iMt+9FXWjIlznzobFPs4Jfob35+bAM9U/JMK4+tWRxqLycYMEWEffmp7OKtMxnZtwZ2HQoA7uBsvY/KBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:29:48.220284Z","bundle_sha256":"462a2cd2926475ae00f1244a2b48d2df5f3693b1ebd015f43f7c5db251020580"}}