{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JWPDP23RIGRUUDNKPWDI2KHI6J","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":"9382257d19e77509d4409013e8bd4dd1bc71b37c88a921279bbe8669845369c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-13T15:41:08Z","title_canon_sha256":"9070cb11139e99552ae3f033c51f4862266f78c40e92f456ca4b504ca5a45f20"},"schema_version":"1.0","source":{"id":"1101.2590","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2590","created_at":"2026-05-18T04:06:56Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2590v1","created_at":"2026-05-18T04:06:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2590","created_at":"2026-05-18T04:06:56Z"},{"alias_kind":"pith_short_12","alias_value":"JWPDP23RIGRU","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JWPDP23RIGRUUDNK","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JWPDP23R","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:f738f3e1131a07abcc7c1fcbb9fb3fc94ea0bc14944b01a432d1ac99d9e2201d","target":"graph","created_at":"2026-05-18T04:06:56Z","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 continuum limit of the tilted SU(2) spin model is shown to give rise to the gauge Landau-Lifshitz equation which provides a unified description for various spin orders. For a definite gauge, we find a double periodic solution, where the conical spiral, in-plane spiral, helical, and ferromagnetic spin orders become special cases, respectively. For another gauge, we obtain the skyrmion-crystal solution. By simulating the influence of magnetic field and temperature for our covariant model, we find a spontaneous formation of skyrmion-fragment lattice and obtain a wider range of skyrmion-crysta","authors_text":"Ye-Hua Liu, Yi Zhou, You-Quan Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-13T15:41:08Z","title":"Unified Spin Order Theory via Gauge Landau-Lifshitz Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2590","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":"sha256:37865553e2478f5156e5ebc6e2b023a7cc3316ff28b8053002c203c8aa340be3","target":"record","created_at":"2026-05-18T04:06:56Z","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":"9382257d19e77509d4409013e8bd4dd1bc71b37c88a921279bbe8669845369c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-13T15:41:08Z","title_canon_sha256":"9070cb11139e99552ae3f033c51f4862266f78c40e92f456ca4b504ca5a45f20"},"schema_version":"1.0","source":{"id":"1101.2590","kind":"arxiv","version":1}},"canonical_sha256":"4d9e37eb7141a34a0daa7d868d28e8f2583bf6ddeb8cc020dfeed63cb8f959a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d9e37eb7141a34a0daa7d868d28e8f2583bf6ddeb8cc020dfeed63cb8f959a2","first_computed_at":"2026-05-18T04:06:56.777804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:56.777804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jDuZKOU56UvQS+Q2vKMgfSGcDlXb2ScSgxszZ1ZBbv0rqSPIshqSjEZzb4Hflfy963FDgx0CfT1j425J3YUDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:56.778494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2590","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37865553e2478f5156e5ebc6e2b023a7cc3316ff28b8053002c203c8aa340be3","sha256:f738f3e1131a07abcc7c1fcbb9fb3fc94ea0bc14944b01a432d1ac99d9e2201d"],"state_sha256":"93a8f479ab72b5c8b57e9337cf68b2916b28f5b8b6cf3c3a7cdc59250835a095"}