{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EYUOBAEZ4I5KJ42CNR6FGNMDMG","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":"3f974a6f166f71d7a1678c5b799f57563583eb9b108607a43d60ea627ce37373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-16T06:52:02Z","title_canon_sha256":"9431a5860e454c4d5f239d173f4f86ddebd7cd545d32b7a47195024bdc420128"},"schema_version":"1.0","source":{"id":"1405.4072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4072","created_at":"2026-05-18T02:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4072v1","created_at":"2026-05-18T02:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4072","created_at":"2026-05-18T02:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"EYUOBAEZ4I5K","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EYUOBAEZ4I5KJ42C","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EYUOBAEZ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:5bc206585e7b5b2dcecdf019705f8f49bf74e0d57c13d2e81cfe5beb0d18126a","target":"graph","created_at":"2026-05-18T02:51:43Z","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":"A phenomenological theory of the loop-current and loop-spin-current phases is proposed. In order to investigate the stability of these phases, a Ginzburg-Landau-Wilson type action is constructed as a functional of the orbital magnetization. From the analysis of this action based on the Landau theory and momentum-shell one-loop renormalization group theory, it is found that the loop-current and loop-spin-current phases are stable if a certain interaction between the orbital magnetizations is sufficiently large. Moreover, these phases are likely to be stable in systems with large orbital suscept","authors_text":"Shimpei Goto, Susumu Kurihara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-16T06:52:02Z","title":"A Phenomenological Theory of Loop-Current Phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4072","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:a52ce589ac307145eab18cb4e8f07e1b9a34678e7008e290d738f4bc268ebf41","target":"record","created_at":"2026-05-18T02:51:43Z","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":"3f974a6f166f71d7a1678c5b799f57563583eb9b108607a43d60ea627ce37373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-16T06:52:02Z","title_canon_sha256":"9431a5860e454c4d5f239d173f4f86ddebd7cd545d32b7a47195024bdc420128"},"schema_version":"1.0","source":{"id":"1405.4072","kind":"arxiv","version":1}},"canonical_sha256":"2628e08099e23aa4f3426c7c5335836191cfaaead531d6cf25d2fb34f6879ae2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2628e08099e23aa4f3426c7c5335836191cfaaead531d6cf25d2fb34f6879ae2","first_computed_at":"2026-05-18T02:51:43.189639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:43.189639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l9sc1KS+aj6hUfv1skk0HTRyETZ9Rb0/OVDQKKr1jqZpwm0iBNttVQBlVdWLyhdZIIVp2B2x6Sx7UU2fY5SgAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:43.190115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a52ce589ac307145eab18cb4e8f07e1b9a34678e7008e290d738f4bc268ebf41","sha256:5bc206585e7b5b2dcecdf019705f8f49bf74e0d57c13d2e81cfe5beb0d18126a"],"state_sha256":"38ee2bd8eb3e9996a51bc940b8ba5b6a749c5fc1bbcb5e337d866f47a1b28661"}