{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GMUJQMEHVLXSD6FO633HOP3TJE","short_pith_number":"pith:GMUJQMEH","schema_version":"1.0","canonical_sha256":"3328983087aaef21f8aef6f6773f734912b13752621febbaa681dc8b306e809d","source":{"kind":"arxiv","id":"1608.02064","version":2},"attestation_state":"computed","paper":{"title":"Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Kiyomi Okamoto, Takashi Tonegawa, T\\^oru Sakai, Toshiya Hikihara","submitted_at":"2016-08-06T04:15:06Z","abstract_excerpt":"We explore the ground-state phase diagram of the $S\\!=\\!1/2$ two-leg ladder with different isotropic leg interactions and uniform anisotropic rung ones, which is described by the Hamiltonian ${\\cal H}=J_{{\\rm l},a} \\sum\\nolimits_{j=1}^{L}{\\vec S}_{j,a}\\cdot {\\vec S}_{j+1,a}+J_{{\\rm l},b} \\sum\\nolimits_{j=1}^{L} {\\vec S}_{j,b}\\cdot {\\vec S}_{j+1,b}+J_{\\rm r} \\sum\\nolimits_{j=1}^{L} \\bigl\\{S_{j,a}^x S_{j,b}^x + S_{j,a}^y S_{j,b}^y + \\Delta S_{j,a}^z S_{j,b}^z \\bigr\\}$. This system has a frustration when $J_{{\\rm l},a} J_{{\\rm l},b}\\!<\\!0$ irrespective of the sign of $J_{\\rm r}$. The phase diagra"},"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":"1608.02064","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-08-06T04:15:06Z","cross_cats_sorted":[],"title_canon_sha256":"212a45cec240ea4040f3e278ffa5888d4101ed1021746abb5f19048650b9b24e","abstract_canon_sha256":"e51e9f2b02aed20ef14070922c43eec8f869e188332ad7fcadaff2602b83889d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:58.695190Z","signature_b64":"7A8FMaCYEObyA/uUivqjAPWDv4+nPosaJyEb9LGYZP1t6Dw4EltqYVHsUDPeYUL/In8Z6Kk/iFFQmHiI7KoTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3328983087aaef21f8aef6f6773f734912b13752621febbaa681dc8b306e809d","last_reissued_at":"2026-05-18T00:45:58.694665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:58.694665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Kiyomi Okamoto, Takashi Tonegawa, T\\^oru Sakai, Toshiya Hikihara","submitted_at":"2016-08-06T04:15:06Z","abstract_excerpt":"We explore the ground-state phase diagram of the $S\\!=\\!1/2$ two-leg ladder with different isotropic leg interactions and uniform anisotropic rung ones, which is described by the Hamiltonian ${\\cal H}=J_{{\\rm l},a} \\sum\\nolimits_{j=1}^{L}{\\vec S}_{j,a}\\cdot {\\vec S}_{j+1,a}+J_{{\\rm l},b} \\sum\\nolimits_{j=1}^{L} {\\vec S}_{j,b}\\cdot {\\vec S}_{j+1,b}+J_{\\rm r} \\sum\\nolimits_{j=1}^{L} \\bigl\\{S_{j,a}^x S_{j,b}^x + S_{j,a}^y S_{j,b}^y + \\Delta S_{j,a}^z S_{j,b}^z \\bigr\\}$. This system has a frustration when $J_{{\\rm l},a} J_{{\\rm l},b}\\!<\\!0$ irrespective of the sign of $J_{\\rm r}$. The phase diagra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02064","kind":"arxiv","version":2},"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":"1608.02064","created_at":"2026-05-18T00:45:58.694747+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.02064v2","created_at":"2026-05-18T00:45:58.694747+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02064","created_at":"2026-05-18T00:45:58.694747+00:00"},{"alias_kind":"pith_short_12","alias_value":"GMUJQMEHVLXS","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GMUJQMEHVLXSD6FO","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GMUJQMEH","created_at":"2026-05-18T12:30:19.053100+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/GMUJQMEHVLXSD6FO633HOP3TJE","json":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE.json","graph_json":"https://pith.science/api/pith-number/GMUJQMEHVLXSD6FO633HOP3TJE/graph.json","events_json":"https://pith.science/api/pith-number/GMUJQMEHVLXSD6FO633HOP3TJE/events.json","paper":"https://pith.science/paper/GMUJQMEH"},"agent_actions":{"view_html":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE","download_json":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE.json","view_paper":"https://pith.science/paper/GMUJQMEH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.02064&json=true","fetch_graph":"https://pith.science/api/pith-number/GMUJQMEHVLXSD6FO633HOP3TJE/graph.json","fetch_events":"https://pith.science/api/pith-number/GMUJQMEHVLXSD6FO633HOP3TJE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE/action/storage_attestation","attest_author":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE/action/author_attestation","sign_citation":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE/action/citation_signature","submit_replication":"https://pith.science/pith/GMUJQMEHVLXSD6FO633HOP3TJE/action/replication_record"}},"created_at":"2026-05-18T00:45:58.694747+00:00","updated_at":"2026-05-18T00:45:58.694747+00:00"}