{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DEIGKGM74DZQQ6W6OXOJAQXJP5","short_pith_number":"pith:DEIGKGM7","canonical_record":{"source":{"id":"1211.5764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-25T13:47:26Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3e57a534c89ce6be5652d54c0053bb96555a152fd4005bda6ed42498a4ecc724","abstract_canon_sha256":"e849a572d35c86d93d2c760963588210cd011c823a49d2b143ee9aad799e8568"},"schema_version":"1.0"},"canonical_sha256":"191065199fe0f3087ade75dc9042e97f6a6df88058e4d690535b17b4bc6e30c9","source":{"kind":"arxiv","id":"1211.5764","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5764","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5764v2","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5764","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"DEIGKGM74DZQ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEIGKGM74DZQQ6W6","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEIGKGM7","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DEIGKGM74DZQQ6W6OXOJAQXJP5","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-25T13:47:26Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3e57a534c89ce6be5652d54c0053bb96555a152fd4005bda6ed42498a4ecc724","abstract_canon_sha256":"e849a572d35c86d93d2c760963588210cd011c823a49d2b143ee9aad799e8568"},"schema_version":"1.0"},"canonical_sha256":"191065199fe0f3087ade75dc9042e97f6a6df88058e4d690535b17b4bc6e30c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:29.663565Z","signature_b64":"czbj4RlWIagjV8WBgcPiPw7lvBKnXCW8bDDJ8d/2Eb0BDUwy1WOPMKrKrPkALghgoFmdJBcdxMLoS9NhLxS0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"191065199fe0f3087ade75dc9042e97f6a6df88058e4d690535b17b4bc6e30c9","last_reissued_at":"2026-05-18T01:01:29.662980Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:29.662980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5764","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sJ59eyiZUFY8W2njplFwHPdrhjtppTyh1o9aSSFH6/UTIKXYQaTNrJ0euQP0VIAa66S541RvDh8G49g+UR4kAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T14:52:34.644626Z"},"content_sha256":"f5863d93ad9f66fc753f8e4c0e65843f3bc6d7880da7573f137a3da575c0d5b2","schema_version":"1.0","event_id":"sha256:f5863d93ad9f66fc753f8e4c0e65843f3bc6d7880da7573f137a3da575c0d5b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DEIGKGM74DZQQ6W6OXOJAQXJP5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous behavior of the spin gap of a spin-1/2 two-leg antiferromagnetic ladder with Ising-like rung interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Kiyomi Okamoto, Shunsuke C. Furuya, Takashi Tonegawa, Toru Sakai","submitted_at":"2012-11-25T13:47:26Z","abstract_excerpt":"Using mainly numerical methods, we investigate the width of the spin gap of a spin-1/2 two-leg ladder described by $\\cH= J_\\rl \\sum_{j=1}^{N/2} [ \\vS_{j,a} \\cdot \\vS_{j+1,a} + \\vS_{j,b} \\cdot \\vS_{j+1,b} ] + J_\\rr \\sum_{j=1}^{N/2} [\\lambda (S^x_{j,a} S^x_{j,b} + S^y_{j,a} S^y_{j,b}) + S^z_{j,a} S^z_{j,b}] $, where $S^\\alpha_{j,a(b)}$ denotes the $\\alpha$-component of the spin-1/2 operator at the $j$-th site of the $a (b)$ chain. We mainly focus on the $J_\\rr \\gg J_\\rl > 0$ and $|\\lambda| \\ll 1$ case. The width of the spin gap as a function of $\\lambda$ anomalously increases near $\\lambda = 0$;"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5764","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j00VgcknKJ6CtEtuLyx+Z6BakL0PFechpXioJrCngnkWz8a/zJyIdzPqJkbOIBXHZ+QR8i2jNqQHkVWVc6XXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T14:52:34.644974Z"},"content_sha256":"97de3e84acd08246413c23e081df7473504f5c6638406b6bedbbc70fcbdfec57","schema_version":"1.0","event_id":"sha256:97de3e84acd08246413c23e081df7473504f5c6638406b6bedbbc70fcbdfec57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5/bundle.json","state_url":"https://pith.science/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T14:52:34Z","links":{"resolver":"https://pith.science/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5","bundle":"https://pith.science/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5/bundle.json","state":"https://pith.science/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEIGKGM74DZQQ6W6OXOJAQXJP5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DEIGKGM74DZQQ6W6OXOJAQXJP5","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":"e849a572d35c86d93d2c760963588210cd011c823a49d2b143ee9aad799e8568","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-25T13:47:26Z","title_canon_sha256":"3e57a534c89ce6be5652d54c0053bb96555a152fd4005bda6ed42498a4ecc724"},"schema_version":"1.0","source":{"id":"1211.5764","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5764","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5764v2","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5764","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"DEIGKGM74DZQ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEIGKGM74DZQQ6W6","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEIGKGM7","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:97de3e84acd08246413c23e081df7473504f5c6638406b6bedbbc70fcbdfec57","target":"graph","created_at":"2026-05-18T01:01:29Z","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":"Using mainly numerical methods, we investigate the width of the spin gap of a spin-1/2 two-leg ladder described by $\\cH= J_\\rl \\sum_{j=1}^{N/2} [ \\vS_{j,a} \\cdot \\vS_{j+1,a} + \\vS_{j,b} \\cdot \\vS_{j+1,b} ] + J_\\rr \\sum_{j=1}^{N/2} [\\lambda (S^x_{j,a} S^x_{j,b} + S^y_{j,a} S^y_{j,b}) + S^z_{j,a} S^z_{j,b}] $, where $S^\\alpha_{j,a(b)}$ denotes the $\\alpha$-component of the spin-1/2 operator at the $j$-th site of the $a (b)$ chain. We mainly focus on the $J_\\rr \\gg J_\\rl > 0$ and $|\\lambda| \\ll 1$ case. The width of the spin gap as a function of $\\lambda$ anomalously increases near $\\lambda = 0$;","authors_text":"Kiyomi Okamoto, Shunsuke C. Furuya, Takashi Tonegawa, Toru Sakai","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-25T13:47:26Z","title":"Anomalous behavior of the spin gap of a spin-1/2 two-leg antiferromagnetic ladder with Ising-like rung interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5764","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:f5863d93ad9f66fc753f8e4c0e65843f3bc6d7880da7573f137a3da575c0d5b2","target":"record","created_at":"2026-05-18T01:01:29Z","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":"e849a572d35c86d93d2c760963588210cd011c823a49d2b143ee9aad799e8568","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-25T13:47:26Z","title_canon_sha256":"3e57a534c89ce6be5652d54c0053bb96555a152fd4005bda6ed42498a4ecc724"},"schema_version":"1.0","source":{"id":"1211.5764","kind":"arxiv","version":2}},"canonical_sha256":"191065199fe0f3087ade75dc9042e97f6a6df88058e4d690535b17b4bc6e30c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"191065199fe0f3087ade75dc9042e97f6a6df88058e4d690535b17b4bc6e30c9","first_computed_at":"2026-05-18T01:01:29.662980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:29.662980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"czbj4RlWIagjV8WBgcPiPw7lvBKnXCW8bDDJ8d/2Eb0BDUwy1WOPMKrKrPkALghgoFmdJBcdxMLoS9NhLxS0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:29.663565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5764","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5863d93ad9f66fc753f8e4c0e65843f3bc6d7880da7573f137a3da575c0d5b2","sha256:97de3e84acd08246413c23e081df7473504f5c6638406b6bedbbc70fcbdfec57"],"state_sha256":"5fe29214fa0f39ec893d99bd0800c4c83ccd96f0969d7e88d7716f08e59e3251"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FMswUAqNLde9loc0O7GvW39+lqeM2CnOCMasTRBK3seqldeEMLKyc5Y4bwTfeNuBAls1h4R5fPcwMAeXUEGQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T14:52:34.647215Z","bundle_sha256":"ad79924d0fa71318b84d4576e58ae593e13598ebd3bc4a59ef05cee3a9300fca"}}