{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:TC3ARTDUZVX2R4GWTLGEECRFFQ","short_pith_number":"pith:TC3ARTDU","schema_version":"1.0","canonical_sha256":"98b608cc74cd6fa8f0d69acc420a252c3d944d35b80a1346fe976f703dd9ad32","source":{"kind":"arxiv","id":"cond-mat/9401053","version":2},"attestation_state":"computed","paper":{"title":"Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Akihiro Tanaka, Yusuke Kato","submitted_at":"1994-01-25T11:37:31Z","abstract_excerpt":"We study the $S=1$ quantum spin chain with bond alternation ${\\cal H}=\\sum _i (1-(-1)^i\\delta)\\vect{S}_i\\cdot \\vect{S}_{i+1}$ by the density matrix renormalization group method recently proposed by Steven R. White (\\PRL{69}{3844}{1993}).  We find a massless point at $\\delta _c =0.25 \\pm 0.01$. We also find the edge states in the region $\\delta <\\delta_c$ under the open boundary condition, which disappear in the region $\\delta >\\delta _{c}$. At the massless point, the spin wave velocity $v_s$ is $3.66 \\pm 0.10$ and the central charge $c$ is $1.0\\pm 0.15$. Our results indicate that a continuous "},"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":"cond-mat/9401053","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1994-01-25T11:37:31Z","cross_cats_sorted":[],"title_canon_sha256":"42baa1b008ab072a967fff7e075c4c243d03ad728ebe93bb170cadc1eedfb59a","abstract_canon_sha256":"03c171c3dfb392c3ef436e7d60621159ea4bc5bd7cca98f0760183908db5810d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:22.280561Z","signature_b64":"6DSPKFQJB4xLo3bl0+5JkCMGwJqi7ygH/pC2JAJhpIIdt/a1ojnYksAvjO1sQaEDbAhNrjPx7tTp9kGY+n5YDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98b608cc74cd6fa8f0d69acc420a252c3d944d35b80a1346fe976f703dd9ad32","last_reissued_at":"2026-05-18T01:07:22.280108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:22.280108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Akihiro Tanaka, Yusuke Kato","submitted_at":"1994-01-25T11:37:31Z","abstract_excerpt":"We study the $S=1$ quantum spin chain with bond alternation ${\\cal H}=\\sum _i (1-(-1)^i\\delta)\\vect{S}_i\\cdot \\vect{S}_{i+1}$ by the density matrix renormalization group method recently proposed by Steven R. White (\\PRL{69}{3844}{1993}).  We find a massless point at $\\delta _c =0.25 \\pm 0.01$. We also find the edge states in the region $\\delta <\\delta_c$ under the open boundary condition, which disappear in the region $\\delta >\\delta _{c}$. At the massless point, the spin wave velocity $v_s$ is $3.66 \\pm 0.10$ and the central charge $c$ is $1.0\\pm 0.15$. Our results indicate that a continuous "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9401053","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":"cond-mat/9401053","created_at":"2026-05-18T01:07:22.280187+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9401053v2","created_at":"2026-05-18T01:07:22.280187+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9401053","created_at":"2026-05-18T01:07:22.280187+00:00"},{"alias_kind":"pith_short_12","alias_value":"TC3ARTDUZVX2","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"TC3ARTDUZVX2R4GW","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"TC3ARTDU","created_at":"2026-05-18T12:25:47.102015+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/TC3ARTDUZVX2R4GWTLGEECRFFQ","json":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ.json","graph_json":"https://pith.science/api/pith-number/TC3ARTDUZVX2R4GWTLGEECRFFQ/graph.json","events_json":"https://pith.science/api/pith-number/TC3ARTDUZVX2R4GWTLGEECRFFQ/events.json","paper":"https://pith.science/paper/TC3ARTDU"},"agent_actions":{"view_html":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ","download_json":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ.json","view_paper":"https://pith.science/paper/TC3ARTDU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9401053&json=true","fetch_graph":"https://pith.science/api/pith-number/TC3ARTDUZVX2R4GWTLGEECRFFQ/graph.json","fetch_events":"https://pith.science/api/pith-number/TC3ARTDUZVX2R4GWTLGEECRFFQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ/action/storage_attestation","attest_author":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ/action/author_attestation","sign_citation":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ/action/citation_signature","submit_replication":"https://pith.science/pith/TC3ARTDUZVX2R4GWTLGEECRFFQ/action/replication_record"}},"created_at":"2026-05-18T01:07:22.280187+00:00","updated_at":"2026-05-18T01:07:22.280187+00:00"}