{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:L22GDWKIPZV3IUWQWB7BVCEQFQ","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":"25078cf28c51c859c4f217a109a0140575858bae6e62bcc6a7c2b4769f2615f6","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-12-04T19:00:00Z","title_canon_sha256":"a88f6ad0f79094935967020f9984efd3fff448678ecf8e81297c5b689c651664"},"schema_version":"1.0","source":{"id":"2412.03638","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03638","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03638v2","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03638","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"pith_short_12","alias_value":"L22GDWKIPZV3","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"pith_short_16","alias_value":"L22GDWKIPZV3IUWQ","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"pith_short_8","alias_value":"L22GDWKI","created_at":"2026-07-05T09:56:03Z"}],"graph_snapshots":[{"event_id":"sha256:6fc1a3138a77b47824fe4b01f990182ff0613cf1837bed34c613cd6a1c8f3cb8","target":"graph","created_at":"2026-07-05T09:56:03Z","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/2412.03638/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a universal kinetic mechanism for a half-metallic ferromagnet -- a metallic state with full spin polarization -- arising from strong on-site Coulomb repulsions between particles that exhibit constrained one-dimensional (1D) dynamics. We illustrate the mechanism in the context of a solvable model on a Lieb lattice in which doped electrons have 1D mobility. Such 1D motion is shown to induce only multi-spin ring exchanges of even parity, which mediate ferromagnetism and result in a unique half-metallic ground state. In contrast to the Nagaoka mechanism of ferromagnetism, this result pe","authors_text":"Kyung-Su Kim, Veit Elser","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-12-04T19:00:00Z","title":"Itinerant Ferromagnetism from One-Dimensional Mobility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03638","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":"sha256:85d5c4e130648b48d2cb5112f62b834e7eb53371639737995af74843aa92c41a","target":"record","created_at":"2026-07-05T09:56:03Z","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":"25078cf28c51c859c4f217a109a0140575858bae6e62bcc6a7c2b4769f2615f6","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-12-04T19:00:00Z","title_canon_sha256":"a88f6ad0f79094935967020f9984efd3fff448678ecf8e81297c5b689c651664"},"schema_version":"1.0","source":{"id":"2412.03638","kind":"arxiv","version":2}},"canonical_sha256":"5eb461d9487e6bb452d0b07e1a88902c22c9add287efa11764ed6a5498d1f2a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eb461d9487e6bb452d0b07e1a88902c22c9add287efa11764ed6a5498d1f2a6","first_computed_at":"2026-07-05T09:56:03.058538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:03.058538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Q7M8Mt9044NdEUxR1giJ5aHi5Puh+H5XP7JC9yAhdMEL86GBgM3jsOLzahs7HedCHd3i30slPD+Xm8bjmg4DA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:03.058952Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.03638","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85d5c4e130648b48d2cb5112f62b834e7eb53371639737995af74843aa92c41a","sha256:6fc1a3138a77b47824fe4b01f990182ff0613cf1837bed34c613cd6a1c8f3cb8"],"state_sha256":"72f7e8a8c7f3621b5d70727ec89e81a51698ef6d3c03b9a2b54e2dc118aeeea5"}