{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AS7NPM7KGQDSPQQKJ2L2LKIGKA","short_pith_number":"pith:AS7NPM7K","schema_version":"1.0","canonical_sha256":"04bed7b3ea340727c20a4e97a5a906502a59a34829bb5eb911554e10884f3c89","source":{"kind":"arxiv","id":"1608.08327","version":1},"attestation_state":"computed","paper":{"title":"Multiple Magnetization Plateaus and the Magnetic Structures in $S=1/2$ Heisenberg Model on the Checkerboard Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Katsuhiro Morita, Naokazu Shibata","submitted_at":"2016-08-30T05:05:02Z","abstract_excerpt":"We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group (DMRG) method with the sine-square deformation. We obtain magnetization plateaus at $M/M_{\\rm sat}=$0, 1/4, 3/8, 1/2, and 3/4 where $M_{\\rm sat}$ is the saturated magnetization. The obtained 3/4 plateau state is consistent with the exact result, and the 1/2 plateau is found to have a four-spin resonating loop structure similar to the six-spin loop structure of the 1/3 plateau of the kagome lattice. Different four-spin loop structures are obtained i"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1608.08327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-08-30T05:05:02Z","cross_cats_sorted":[],"title_canon_sha256":"904261ee9c62404ccc2bed0cf956ac30fa53c1039666b62bc77d91cb32141317","abstract_canon_sha256":"0d4431953cf9994a86ae841d64a1512b9f364021a24981f990819484abe2825f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:52.954868Z","signature_b64":"OjXcr9XGSzEEL7sG4DIy+ExbPf20VznGo0aeO2FHIxx2yeCrYopeKhFx10QgDhaG8yZaTN/E9XtQ2BUMLOZaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04bed7b3ea340727c20a4e97a5a906502a59a34829bb5eb911554e10884f3c89","last_reissued_at":"2026-05-18T01:01:52.954280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:52.954280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiple Magnetization Plateaus and the Magnetic Structures in $S=1/2$ Heisenberg Model on the Checkerboard Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Katsuhiro Morita, Naokazu Shibata","submitted_at":"2016-08-30T05:05:02Z","abstract_excerpt":"We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group (DMRG) method with the sine-square deformation. We obtain magnetization plateaus at $M/M_{\\rm sat}=$0, 1/4, 3/8, 1/2, and 3/4 where $M_{\\rm sat}$ is the saturated magnetization. The obtained 3/4 plateau state is consistent with the exact result, and the 1/2 plateau is found to have a four-spin resonating loop structure similar to the six-spin loop structure of the 1/3 plateau of the kagome lattice. Different four-spin loop structures are obtained i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08327","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.08327","created_at":"2026-05-18T01:01:52.954371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.08327v1","created_at":"2026-05-18T01:01:52.954371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08327","created_at":"2026-05-18T01:01:52.954371+00:00"},{"alias_kind":"pith_short_12","alias_value":"AS7NPM7KGQDS","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AS7NPM7KGQDSPQQK","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AS7NPM7K","created_at":"2026-05-18T12:30:07.202191+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA","json":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA.json","graph_json":"https://pith.science/api/pith-number/AS7NPM7KGQDSPQQKJ2L2LKIGKA/graph.json","events_json":"https://pith.science/api/pith-number/AS7NPM7KGQDSPQQKJ2L2LKIGKA/events.json","paper":"https://pith.science/paper/AS7NPM7K"},"agent_actions":{"view_html":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA","download_json":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA.json","view_paper":"https://pith.science/paper/AS7NPM7K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.08327&json=true","fetch_graph":"https://pith.science/api/pith-number/AS7NPM7KGQDSPQQKJ2L2LKIGKA/graph.json","fetch_events":"https://pith.science/api/pith-number/AS7NPM7KGQDSPQQKJ2L2LKIGKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA/action/storage_attestation","attest_author":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA/action/author_attestation","sign_citation":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA/action/citation_signature","submit_replication":"https://pith.science/pith/AS7NPM7KGQDSPQQKJ2L2LKIGKA/action/replication_record"}},"created_at":"2026-05-18T01:01:52.954371+00:00","updated_at":"2026-05-18T01:01:52.954371+00:00"}