{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5H6LOTSD7OG3JWPVXROCVCBELW","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":"ef23a50e62ad190f97bc8e74bc68ac5b1f06880943cc4a527a113381e437ccf6","cross_cats_sorted":["astro-ph.SR","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-08-10T20:49:18Z","title_canon_sha256":"94ad78c530c1f8f39a3b496e5eae361979ed7c3d522438ecc49255b0b6de6097"},"schema_version":"1.0","source":{"id":"1208.2286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2286","created_at":"2026-05-18T01:55:16Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2286v2","created_at":"2026-05-18T01:55:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2286","created_at":"2026-05-18T01:55:16Z"},{"alias_kind":"pith_short_12","alias_value":"5H6LOTSD7OG3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5H6LOTSD7OG3JWPV","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5H6LOTSD","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:4bbd4521fd0332ea0babbaafbce0323d5501a0ad02218daa657d8981851645a0","target":"graph","created_at":"2026-05-18T01:55:16Z","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":"We introduce a topological flux function to quantify the topology of magnetic braids: non-zero, line-tied magnetic fields whose field lines all connect between two boundaries. This scalar function is an ideal invariant defined on a cross-section of the magnetic field, and measures the average poloidal magnetic flux around any given field line, or the average pairwise crossing number between a given field line and all others. Moreover, its integral over the cross-section yields the relative magnetic helicity. Using the fact that the flux function is also an action in the Hamiltonian formulation","authors_text":"A. R. Yeates, G. Hornig","cross_cats":["astro-ph.SR","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-08-10T20:49:18Z","title":"Unique Topological Characterization of Braided Magnetic Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2286","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":"sha256:6930a1241ea667e9ed6bca7bd09230c9b7d70e0835a8e900db4e0aefd6980bd0","target":"record","created_at":"2026-05-18T01:55:16Z","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":"ef23a50e62ad190f97bc8e74bc68ac5b1f06880943cc4a527a113381e437ccf6","cross_cats_sorted":["astro-ph.SR","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-08-10T20:49:18Z","title_canon_sha256":"94ad78c530c1f8f39a3b496e5eae361979ed7c3d522438ecc49255b0b6de6097"},"schema_version":"1.0","source":{"id":"1208.2286","kind":"arxiv","version":2}},"canonical_sha256":"e9fcb74e43fb8db4d9f5bc5c2a88245da0dbea4b7be0241c0cd16b4796bbdf48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9fcb74e43fb8db4d9f5bc5c2a88245da0dbea4b7be0241c0cd16b4796bbdf48","first_computed_at":"2026-05-18T01:55:16.729650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:16.729650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pEbnIdjiT9Q9kfy96HhIsX8589FrQvsuuh1mIYS+C4viuAeWvdrYGLCQHYs3td+sjvn0vBg/Ct865LKoZtIABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:16.730099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6930a1241ea667e9ed6bca7bd09230c9b7d70e0835a8e900db4e0aefd6980bd0","sha256:4bbd4521fd0332ea0babbaafbce0323d5501a0ad02218daa657d8981851645a0"],"state_sha256":"97b878ea9e012590203405ddb6ae7bda551843323abacf1900448e07b9cb38b1"}