{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:I7GLPJRY6PJ64MKOV2ZH7JGATI","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":"5d677397931d1229c53f17875f7052d9a7248a8396ebba0341b8b1a8b652dc18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-04T12:58:43Z","title_canon_sha256":"8fcf32d0867a90784297856e9e016484fb4c865fed915185d24f2d26118c1664"},"schema_version":"1.0","source":{"id":"2606.06111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06111","created_at":"2026-06-05T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06111v1","created_at":"2026-06-05T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06111","created_at":"2026-06-05T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"I7GLPJRY6PJ6","created_at":"2026-06-05T01:15:33Z"},{"alias_kind":"pith_short_16","alias_value":"I7GLPJRY6PJ64MKO","created_at":"2026-06-05T01:15:33Z"},{"alias_kind":"pith_short_8","alias_value":"I7GLPJRY","created_at":"2026-06-05T01:15:33Z"}],"graph_snapshots":[{"event_id":"sha256:fe4e416a89a0e0e236c72323f3374d0818145ab34b8f953d9b389a9c863f644d","target":"graph","created_at":"2026-06-05T01:15:33Z","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/2606.06111/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spin supersolids emerge as a central topic in frustrated magnetism, motivating the search for realization in quantum materials. To this end, we study the origin of exchange anisotropy, $\\Delta$, in triangular-lattice cobaltate families $X_2$$Y$Co(PO$_4$)$_2$ and $X_2$Co(SeO$_3$)$_2$ ($X$ = Na, K, Rb, Cs; $Y$ = Mg, Ca, Sr, Ba) by tailoring realistic spin models. We show that $\\Delta$ is determined by the ratio of trigonal crystal field to spin-orbit coupling strength. This framework explains contrasting anisotropies in these families, predicts systematic trends in $\\Delta$ across $X/Y$-substitu","authors_text":"Jun'ichi Ieda, Michiyasu Mori, Ryota Ono, Sadamichi Maekawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-04T12:58:43Z","title":"A microscopic design rule for spin supersolids in triangular-lattice magnets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06111","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":"sha256:27765b1066168ce6049681577e9b56a0d83adaec5485b5b3083243cb1571de77","target":"record","created_at":"2026-06-05T01:15:33Z","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":"5d677397931d1229c53f17875f7052d9a7248a8396ebba0341b8b1a8b652dc18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-04T12:58:43Z","title_canon_sha256":"8fcf32d0867a90784297856e9e016484fb4c865fed915185d24f2d26118c1664"},"schema_version":"1.0","source":{"id":"2606.06111","kind":"arxiv","version":1}},"canonical_sha256":"47ccb7a638f3d3ee314eaeb27fa4c09a3e8f1931069dec2e4746d2b383531e73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47ccb7a638f3d3ee314eaeb27fa4c09a3e8f1931069dec2e4746d2b383531e73","first_computed_at":"2026-06-05T01:15:33.780562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:33.780562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tB54robb2I5j3WCQgLkpc4+LnwIxwoMI4IYWm6AfSNSqqOcTqOrGcEDejOGLbHm1lxQUWdAqHZFsgUOCd/AoDw==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:33.781258Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27765b1066168ce6049681577e9b56a0d83adaec5485b5b3083243cb1571de77","sha256:fe4e416a89a0e0e236c72323f3374d0818145ab34b8f953d9b389a9c863f644d"],"state_sha256":"285acd4c40a9ab89dca265779582e6f337d3411df12c6f2c2a94e36a814410f0"}