{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LYJYN7UG6H54MXQR6VR3WT2AKJ","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":"15b485f9a52d11ec47c411e96b46fbc934c259ffa6ab4fd6ef34ad46221e4e26","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-02T20:54:46Z","title_canon_sha256":"0f093c0bc588442d953be3e90b8aaa2df31bda08e088982d1ee0fcc8a9f86561"},"schema_version":"1.0","source":{"id":"1711.00933","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00933","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00933v2","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00933","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"LYJYN7UG6H54","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LYJYN7UG6H54MXQR","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LYJYN7UG","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:e119d734b569f8a9ab6790d8e8d4b247905a26b7de944ed0083b2ad2460b6399","target":"graph","created_at":"2026-05-18T00:20:05Z","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 construct static and also time-dependent solutions in a non-linear sigma model with target space being the flag manifold $F_2=SU(3)/U(1)^2$ on the four dimensional Minkowski space-time by analytically solving the second order Euler-Lagrange equation. We show the static solutions saturate an energy lower bound and can be derived from coupled first order equations though they are saddle point solutions. We also discuss basic properties of the time-dependent solutions.","authors_text":"Nobuyuki Sawado, Yuki Amari","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-02T20:54:46Z","title":"BPS Sphalerons in the $F_2$ Non-Linear Sigma Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00933","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":"sha256:73a9f3337b3bd6def7edb2aea24989114fb34b0ad3e908f5fbc1182c87c7144e","target":"record","created_at":"2026-05-18T00:20:05Z","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":"15b485f9a52d11ec47c411e96b46fbc934c259ffa6ab4fd6ef34ad46221e4e26","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-02T20:54:46Z","title_canon_sha256":"0f093c0bc588442d953be3e90b8aaa2df31bda08e088982d1ee0fcc8a9f86561"},"schema_version":"1.0","source":{"id":"1711.00933","kind":"arxiv","version":2}},"canonical_sha256":"5e1386fe86f1fbc65e11f563bb4f4052573ee36f4444aaaccf0d4c5bff0a1673","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e1386fe86f1fbc65e11f563bb4f4052573ee36f4444aaaccf0d4c5bff0a1673","first_computed_at":"2026-05-18T00:20:05.902889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:05.902889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KU61ohLzzN7h2cBnpPf9VTHZyVI4+58ryzrz5mYZP3EBLXgohILFigD/goa4etHWGQn5g3r9zwoc1A52G1+sBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:05.903549Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.00933","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73a9f3337b3bd6def7edb2aea24989114fb34b0ad3e908f5fbc1182c87c7144e","sha256:e119d734b569f8a9ab6790d8e8d4b247905a26b7de944ed0083b2ad2460b6399"],"state_sha256":"e901a27319a11df06da8b0e572130e258947f62ca7b42dde8f4a33c4207f56e9"}