{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FIXDZKXTD4IOXBYKOQ3ST6ZEGY","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":"68f4bd64b169c76270cc2d87bf9d72ba333f3b13b2aa9fda1f7e763942b5e87b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-09T03:54:47Z","title_canon_sha256":"18cf2af19f45b66f4c5e4f8c213ac2da222e520f12223a888d84fa75ccf14459"},"schema_version":"1.0","source":{"id":"2608.08456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.08456","created_at":"2026-08-11T01:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"2608.08456v1","created_at":"2026-08-11T01:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.08456","created_at":"2026-08-11T01:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"FIXDZKXTD4IO","created_at":"2026-08-11T01:22:40Z"},{"alias_kind":"pith_short_16","alias_value":"FIXDZKXTD4IOXBYK","created_at":"2026-08-11T01:22:40Z"},{"alias_kind":"pith_short_8","alias_value":"FIXDZKXT","created_at":"2026-08-11T01:22:40Z"}],"graph_snapshots":[{"event_id":"sha256:77010989122a376514701adc3a07dd89ccf7cb3f275f1223a5531fa84985ea96","target":"graph","created_at":"2026-08-11T01:22:40Z","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/2608.08456/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we analyze global minimizers of the Landau--de Gennes functional in 3-dimensional domains in the Lyuksyutov regime. We prove smooth convergence to an $\\mathbb{S}^4$-valued limit and obtain an $O(\\mu^{-1})$ estimate for the distance to $\\mathbb{S}^4$ as $\\mu \\to +\\infty$, thereby extending the convergence results of Dipasquale et al.[Arch. Ration. Mech. Anal. 239: 599--678, 2021].","authors_text":"Haotong Fu, Huaijie Wang, Wei Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-09T03:54:47Z","title":"Smooth Convergence of Landau-de Gennes Minimizers in the Lyuksyutov Regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08456","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:a2b28a813c27f9e0a3d8223f7f667d7d77ef3a0ac2c3be13ec227f38e86843fa","target":"record","created_at":"2026-08-11T01:22:40Z","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":"68f4bd64b169c76270cc2d87bf9d72ba333f3b13b2aa9fda1f7e763942b5e87b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-09T03:54:47Z","title_canon_sha256":"18cf2af19f45b66f4c5e4f8c213ac2da222e520f12223a888d84fa75ccf14459"},"schema_version":"1.0","source":{"id":"2608.08456","kind":"arxiv","version":1}},"canonical_sha256":"2a2e3caaf31f10eb870a743729fb24362b0e8f8e850be0a2e643ad86d9535ecb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a2e3caaf31f10eb870a743729fb24362b0e8f8e850be0a2e643ad86d9535ecb","first_computed_at":"2026-08-11T01:22:40.824103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:22:40.824103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1G5SMtOOgHS/z6hGdOoNw6LeLSeJFS5hOdb3zvU2NBCRpfYpKy/rrSEoxjg+Nv/SPqaYAFetXOyuQIpR7kNdDg==","signature_status":"signed_v1","signed_at":"2026-08-11T01:22:40.826683Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.08456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2b28a813c27f9e0a3d8223f7f667d7d77ef3a0ac2c3be13ec227f38e86843fa","sha256:77010989122a376514701adc3a07dd89ccf7cb3f275f1223a5531fa84985ea96"],"state_sha256":"5579c526ae671d68508a74c7dbd86f867ba564806966dc023e8141e81ad3e7f6"}