{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZPZHO67ZNYKN3ZS7SQH27CWRTB","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":"d9b2d8c2c8cdea2c78551706efbce9eb6bd621df9fc99c65c4823fd73797267f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-30T06:36:24Z","title_canon_sha256":"1eee25657e95276826914ce9180646138efbf7397f02b3fa8f2722a9577aac89"},"schema_version":"1.0","source":{"id":"1808.10138","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10138","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10138v2","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10138","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZPZHO67ZNYKN","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZPZHO67ZNYKN3ZS7","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZPZHO67Z","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:52baa700a533c49e000e8b04c2bbb6eb154c0c6bc9874315a0f8b36cdb32e33d","target":"graph","created_at":"2026-05-17T23:59:14Z","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"},"paper":{"abstract_excerpt":"We study the fractionally quantized $Z_N$ Berry phase, $\\gamma_N=0, {2\\pi \\over N}, {4\\pi \\over N},\\ldots, {2(N-1)\\pi \\over N}$, to characterize local $N$-mer spin structures at magnetization plateaux in spin-1/2 Heisenberg multimer ($N$-mer) models, i.e., highly frustrated $N$-leg ladder models, which are generalizations of an orthogonal dimer chain and have exact ground states in the strong multimer coupling region. We demonstrate that all $N$ types of Berry phases, which characterize magnetization-plateau phases, appear in a magnetic phase diagram when $N=2$ and $4$. We show that magnetizat","authors_text":"Isao Maruyama, Shin Miyahara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-30T06:36:24Z","title":"Fractionally quantized Berry phases of magnetization plateaux in spin-$1/2$ Heisenberg multimer chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10138","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:f70d135967b2e9465b888eb1dbbcc4e1fd2d14f1a299da04b2ff651041f9a2d0","target":"record","created_at":"2026-05-17T23:59:14Z","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":"d9b2d8c2c8cdea2c78551706efbce9eb6bd621df9fc99c65c4823fd73797267f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-30T06:36:24Z","title_canon_sha256":"1eee25657e95276826914ce9180646138efbf7397f02b3fa8f2722a9577aac89"},"schema_version":"1.0","source":{"id":"1808.10138","kind":"arxiv","version":2}},"canonical_sha256":"cbf2777bf96e14dde65f940faf8ad198438b0245f7b0364069dd3be009a58210","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbf2777bf96e14dde65f940faf8ad198438b0245f7b0364069dd3be009a58210","first_computed_at":"2026-05-17T23:59:14.517347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:14.517347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Silh3yAN2vTEqDouIiMc2zkKmDiCIYVdOk5xQD91jmcjou8XQfl1GuvholoCehqCVU2isNBpzFB76TqLPZcjBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:14.517880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.10138","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f70d135967b2e9465b888eb1dbbcc4e1fd2d14f1a299da04b2ff651041f9a2d0","sha256:52baa700a533c49e000e8b04c2bbb6eb154c0c6bc9874315a0f8b36cdb32e33d"],"state_sha256":"dd0c11aaa1421756739a976cae105436efb26fee228711690f66d9c937b2b646"}