{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OCVETIUIGC6WXQRMUSSNOTEJND","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":"badc08a44c0dfdae780ea1046a71a03637e3939c6aa635548e0c175ee604e56f","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-26T17:57:32Z","title_canon_sha256":"9706d85ab353ca2306da58b14d6a88d97e3f4b86d3555f70cdb0a6bd65c163ad"},"schema_version":"1.0","source":{"id":"2606.28317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28317","created_at":"2026-06-29T01:15:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28317v1","created_at":"2026-06-29T01:15:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28317","created_at":"2026-06-29T01:15:12Z"},{"alias_kind":"pith_short_12","alias_value":"OCVETIUIGC6W","created_at":"2026-06-29T01:15:12Z"},{"alias_kind":"pith_short_16","alias_value":"OCVETIUIGC6WXQRM","created_at":"2026-06-29T01:15:12Z"},{"alias_kind":"pith_short_8","alias_value":"OCVETIUI","created_at":"2026-06-29T01:15:12Z"}],"graph_snapshots":[{"event_id":"sha256:d9b27a9c99bbc4878321d1ecc6a395b1d4a3970f3fa4e97477c30e9190a89dda","target":"graph","created_at":"2026-06-29T01:15:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.28317/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Force-Free Electrodynamics (FFE) describes the evolution of the electromagnetic field in magnetically dominated plasmas, but ceases to be hyperbolic once the magnetic dominance condition $F^{ab}F_{ab}>0$ is lost. We demonstrate that, after the loss of magnetic dominance, FFE may be replaced by a theory of null fields, $F^{ab}F_{ab}=0=F^{ab}\\tilde{F}_{ab}$, characterized by the condition that its principal null direction is tangent to a geodesic congruence. In flat spacetime, this theory may be equivalently stated as the condition that the field satisfies $\\vec{B}^2-\\vec{E}^2=0=\\vec{E}\\cdot\\vec","authors_text":"Morifumi Mizuno","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-26T17:57:32Z","title":"Continuation of Force-Free Electrodynamics upon the loss of magnetic dominance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28317","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:db0ad4a406672930e6a8345798661e6b4f1615175e00b07eea022eb3cd57b595","target":"record","created_at":"2026-06-29T01:15:12Z","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":"badc08a44c0dfdae780ea1046a71a03637e3939c6aa635548e0c175ee604e56f","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-26T17:57:32Z","title_canon_sha256":"9706d85ab353ca2306da58b14d6a88d97e3f4b86d3555f70cdb0a6bd65c163ad"},"schema_version":"1.0","source":{"id":"2606.28317","kind":"arxiv","version":1}},"canonical_sha256":"70aa49a28830bd6bc22ca4a4d74c8968e784d9bc446d95f6f2f4a39813412ac3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70aa49a28830bd6bc22ca4a4d74c8968e784d9bc446d95f6f2f4a39813412ac3","first_computed_at":"2026-06-29T01:15:12.959727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:15:12.959727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OsUTp5D2AXiyWwGrXKghgv90RS3s237n3CPpc0B2HpP5hXFTdhb/CjCBw2WiY992LhJBFGAIh8xFKCNlF985AA==","signature_status":"signed_v1","signed_at":"2026-06-29T01:15:12.960134Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db0ad4a406672930e6a8345798661e6b4f1615175e00b07eea022eb3cd57b595","sha256:d9b27a9c99bbc4878321d1ecc6a395b1d4a3970f3fa4e97477c30e9190a89dda"],"state_sha256":"b356f15ebed6ec4eee7befce346acf02f02fd97735002574707041d6fb01a8d2"}