{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:URIH2WCFN6QLPBSQIT6S34U7X6","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":"9b5c08530d87d581a6bc122481f55ff0a55b46b72830cb623a2fc850d321c530","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-16T14:22:11Z","title_canon_sha256":"680886be731fc2f965024299f5ecdb72a5f92bfdeaf5b15b6c236a4b1b49728c"},"schema_version":"1.0","source":{"id":"2607.15043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15043","created_at":"2026-07-17T01:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15043v1","created_at":"2026-07-17T01:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15043","created_at":"2026-07-17T01:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"URIH2WCFN6QL","created_at":"2026-07-17T01:22:06Z"},{"alias_kind":"pith_short_16","alias_value":"URIH2WCFN6QLPBSQ","created_at":"2026-07-17T01:22:06Z"},{"alias_kind":"pith_short_8","alias_value":"URIH2WCF","created_at":"2026-07-17T01:22:06Z"}],"graph_snapshots":[{"event_id":"sha256:f88705b98bf61e6132feb636542025d2027b1b3b1ef75a52ceae6f9d4d3c2031","target":"graph","created_at":"2026-07-17T01:22:06Z","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/2607.15043/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the Kramers-Krong relations, we derive and apply a quite general expression that that relates the low frequency quasi-dc Hall conductivity to the asymptotic high frequency optical Hall response (and its manifestations in Kerr and Faraday effects) for time-reversal symmetry breaking (TRSB) states of matter like ferromagnets and time-reversal symmetry breaking superconductors as well as metals in magnetic field. Parametric plots shows this relation is obeyed exactly for the trivial single-mode case of sharp cyclotron resonance, and approximately for theoretical models for ferromagnets a","authors_text":"E. Abelev, N. P. Armitage, R. Romero III","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-16T14:22:11Z","title":"Derivation and application of a general scaling relation between the dc and asymptotic high-frequency optical Hall responses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15043","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":"sha256:04004c42c8a4b4c9737d5d9ae4ab9228008e2e13f4b805c9319d1900b52e51b8","target":"record","created_at":"2026-07-17T01:22:06Z","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":"9b5c08530d87d581a6bc122481f55ff0a55b46b72830cb623a2fc850d321c530","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-16T14:22:11Z","title_canon_sha256":"680886be731fc2f965024299f5ecdb72a5f92bfdeaf5b15b6c236a4b1b49728c"},"schema_version":"1.0","source":{"id":"2607.15043","kind":"arxiv","version":1}},"canonical_sha256":"a4507d58456fa0b7865044fd2df29fbf9a3ad811dbeab5b7066d4a749781a55c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4507d58456fa0b7865044fd2df29fbf9a3ad811dbeab5b7066d4a749781a55c","first_computed_at":"2026-07-17T01:22:06.450421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:22:06.450421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JaINeiTLrgJJhGGxB+5U+ONFmY18xGfqAAyRhThjSBuGUuEsfQNgS5xDrO6ZJzMRX/OAFObghNfBsBAZsZWlDQ==","signature_status":"signed_v1","signed_at":"2026-07-17T01:22:06.451256Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04004c42c8a4b4c9737d5d9ae4ab9228008e2e13f4b805c9319d1900b52e51b8","sha256:f88705b98bf61e6132feb636542025d2027b1b3b1ef75a52ceae6f9d4d3c2031"],"state_sha256":"e6ffcd56ccb290e2e6a9500223566d62f6137eb8c5f3e0cfddddd9c670158bce"}