{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ASWZJIZ7A3FRDZJXG4DAZL7N73","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":"8aaf20de6af2b7284347464583d4c87470e4e9558d417a2ddf00bcbfbf8113f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-16T13:43:03Z","title_canon_sha256":"99618a571d14097270e111bbaa6a3a8440944d5d2568e97b25cada73afd7786f"},"schema_version":"1.0","source":{"id":"2606.17933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17933","created_at":"2026-06-19T16:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17933v1","created_at":"2026-06-19T16:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17933","created_at":"2026-06-19T16:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"ASWZJIZ7A3FR","created_at":"2026-06-19T16:10:43Z"},{"alias_kind":"pith_short_16","alias_value":"ASWZJIZ7A3FRDZJX","created_at":"2026-06-19T16:10:43Z"},{"alias_kind":"pith_short_8","alias_value":"ASWZJIZ7","created_at":"2026-06-19T16:10:43Z"}],"graph_snapshots":[{"event_id":"sha256:4994d5ed70a8559cbae7effbbbb4f3e2c6940c38c2262f0d15e0d342908c95e6","target":"graph","created_at":"2026-06-19T16:10:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.17933/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The three-dimensional repulsive Hubbard model is investigated using the strong-coupling diagram technique. For half-filling, the boundary between paramagnetic and antiferromagnetic states is determined for the range of the Hubbard repulsion $4t\\leq U\\leq12t$, where $t$ is the hopping integral between neighboring sites. Along this boundary, the density of states is calculated, and it demonstrates the Mott transition at $U\\approx9t$. For $U\\geq6t$ and half-filling, the density of states has the shape inherent in the strong electron repulsion, while for $U=4t$, its shape points to weak coupling. ","authors_text":"Alexei Sherman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-16T13:43:03Z","title":"Three-dimensional repulsive Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17933","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:fdcf5396d9551e9bb4435bda171bf02c5e8a4c4cc20d2cff42704fdc646f5ce2","target":"record","created_at":"2026-06-19T16:10:43Z","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":"8aaf20de6af2b7284347464583d4c87470e4e9558d417a2ddf00bcbfbf8113f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-16T13:43:03Z","title_canon_sha256":"99618a571d14097270e111bbaa6a3a8440944d5d2568e97b25cada73afd7786f"},"schema_version":"1.0","source":{"id":"2606.17933","kind":"arxiv","version":1}},"canonical_sha256":"04ad94a33f06cb11e53737060cafedfecb72f9d134ae1ef618e3ee769e249859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04ad94a33f06cb11e53737060cafedfecb72f9d134ae1ef618e3ee769e249859","first_computed_at":"2026-06-19T16:10:43.865640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:43.865640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0eymsttoqHfpx09hUr10BwKMfqRgiz2VxNxK8M6U0quBie7IT05cQmdtQHDGMcIGqL616oxExN7jeXeIcqUqAQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:43.865987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdcf5396d9551e9bb4435bda171bf02c5e8a4c4cc20d2cff42704fdc646f5ce2","sha256:4994d5ed70a8559cbae7effbbbb4f3e2c6940c38c2262f0d15e0d342908c95e6"],"state_sha256":"7c000c9e0176443cb0f43089004538e689aff3d1f2644a83dcbb32f94c7ed66f"}