{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:J2TCGGN75KG56DD3IAZ4MCFIUK","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":"11f1b82c5e3be414365608e98cf612decef834301076ba1820a100036220adf4","cross_cats_sorted":["astro-ph.SR","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-04T11:15:08Z","title_canon_sha256":"a181f1545520b8950971777a31b84adfae59a5793a046deecf10cbaf7e4eb3fb"},"schema_version":"1.0","source":{"id":"1107.0594","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0594","created_at":"2026-05-18T02:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0594v1","created_at":"2026-05-18T02:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0594","created_at":"2026-05-18T02:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"J2TCGGN75KG5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J2TCGGN75KG56DD3","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J2TCGGN7","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:b62af59ed4d52bb9795d86f1d0ac2fab03373ee4fa3846a4b5b7b53e9015a897","target":"graph","created_at":"2026-05-18T02:01:25Z","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 definition and measurement of magnetic reconnection in three-dimensional magnetic fields with multiple reconnection sites is a challenging problem, particularly in fields lacking null points. We propose a generalization of the familiar two-dimensional concept of a magnetic flux function to the case of a three-dimensional field connecting two planar boundaries. Using hyperbolic fixed points of the field line mapping, and their global stable and unstable manifolds, we define a unique flux partition of the magnetic field. This partition is more complicated than the corresponding (well-known) ","authors_text":"A. R. Yeates, G. Hornig","cross_cats":["astro-ph.SR","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-04T11:15:08Z","title":"A Generalized Flux Function for Three-dimensional Magnetic Reconnection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0594","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":"sha256:4a234ddbf1b88cbd0281593b44ba77727091da44c28c04c451323167e2fdb103","target":"record","created_at":"2026-05-18T02:01:25Z","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":"11f1b82c5e3be414365608e98cf612decef834301076ba1820a100036220adf4","cross_cats_sorted":["astro-ph.SR","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-04T11:15:08Z","title_canon_sha256":"a181f1545520b8950971777a31b84adfae59a5793a046deecf10cbaf7e4eb3fb"},"schema_version":"1.0","source":{"id":"1107.0594","kind":"arxiv","version":1}},"canonical_sha256":"4ea62319bfea8ddf0c7b4033c608a8a2bf666b020a7afa214183a2335473571e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ea62319bfea8ddf0c7b4033c608a8a2bf666b020a7afa214183a2335473571e","first_computed_at":"2026-05-18T02:01:25.307279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:25.307279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j1NtXaLewnbTaJ2i+ba/sXW83GB5UJ/bEsYUlsNqziyqIaOw17VxoDROOhupdnb63kHvSTnKeDjvgq/yFRswAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:25.308100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0594","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a234ddbf1b88cbd0281593b44ba77727091da44c28c04c451323167e2fdb103","sha256:b62af59ed4d52bb9795d86f1d0ac2fab03373ee4fa3846a4b5b7b53e9015a897"],"state_sha256":"8adad52fd31e2781d4af2608aa2b258895b4cd47d37bbd2be1ddd539c7806ba8"}