{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EMA7OO4BUOXB4H6RB56VDHCBHS","short_pith_number":"pith:EMA7OO4B","canonical_record":{"source":{"id":"1810.00487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-30T23:51:14Z","cross_cats_sorted":[],"title_canon_sha256":"aef881cfce0b5056eced59657c2db0b01ee08e209b8fb6b9fa661299e3fe1a7a","abstract_canon_sha256":"7ea61df2e88388706916cca2ae7278799445290ba2eab691ca62cc2ba2bd5b2f"},"schema_version":"1.0"},"canonical_sha256":"2301f73b81a3ae1e1fd10f7d519c413cada15e3c056e5293e2988cdf09f68f17","source":{"kind":"arxiv","id":"1810.00487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00487","created_at":"2026-05-18T00:04:26Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00487v1","created_at":"2026-05-18T00:04:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00487","created_at":"2026-05-18T00:04:26Z"},{"alias_kind":"pith_short_12","alias_value":"EMA7OO4BUOXB","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EMA7OO4BUOXB4H6R","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EMA7OO4B","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EMA7OO4BUOXB4H6RB56VDHCBHS","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-30T23:51:14Z","cross_cats_sorted":[],"title_canon_sha256":"aef881cfce0b5056eced59657c2db0b01ee08e209b8fb6b9fa661299e3fe1a7a","abstract_canon_sha256":"7ea61df2e88388706916cca2ae7278799445290ba2eab691ca62cc2ba2bd5b2f"},"schema_version":"1.0"},"canonical_sha256":"2301f73b81a3ae1e1fd10f7d519c413cada15e3c056e5293e2988cdf09f68f17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:26.010822Z","signature_b64":"PYsIkI6tTL9/Q6J7yU6iW7BWhcOLMgDgr03VWCkwBTaJlRI8LDTT+4R3vzUz6R9Wcz0sMQY69Vm6vR6mR+PoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2301f73b81a3ae1e1fd10f7d519c413cada15e3c056e5293e2988cdf09f68f17","last_reissued_at":"2026-05-18T00:04:26.010302Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:26.010302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00487","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tRCa5p/iBCvkGK32Ek/0H1ko3EWJDBFnw9b1iDmk26ubzkEFbYKAisVVnYO2EIyKfcJm1+EGbsRs24saHG8bAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:39:41.637570Z"},"content_sha256":"601cbf962df56f6d21f2b321dbb1ff288780532537f32efeeb55cb192743ba19","schema_version":"1.0","event_id":"sha256:601cbf962df56f6d21f2b321dbb1ff288780532537f32efeeb55cb192743ba19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EMA7OO4BUOXB4H6RB56VDHCBHS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ground-state properties for bilayer Kitaev model: dimer expansion study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Akihisa Koga, Hiroyuki Tomishige, Joji Nasu","submitted_at":"2018-09-30T23:51:14Z","abstract_excerpt":"We study ground state properties in the bilayer Kitaev model by means of the dimer expansion. The existence of parity symmetries in the system reduces the computational cost significantly. This allows us to expand the ground state energy and interlayer spin-spin correlation up to 30th order in the interdimer Kitaev coupling. The numerical calculations clarify that the dimer singlet state is indeed realized in the wide parameter region."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00487","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfb7yB8uLPlvybxk+juYSleTugjX9hj22xkm2SysxxoNGYopAyiGFtZ89Tl3dJCVZLiBY2JwwW16hbWy1MPVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:39:41.638011Z"},"content_sha256":"f6f74072e2c1e45f93843af1487b45dd5306b97e7edca9ea5d3513e98aaeafa4","schema_version":"1.0","event_id":"sha256:f6f74072e2c1e45f93843af1487b45dd5306b97e7edca9ea5d3513e98aaeafa4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EMA7OO4BUOXB4H6RB56VDHCBHS/bundle.json","state_url":"https://pith.science/pith/EMA7OO4BUOXB4H6RB56VDHCBHS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EMA7OO4BUOXB4H6RB56VDHCBHS/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":"2026-05-26T17:39:41Z","links":{"resolver":"https://pith.science/pith/EMA7OO4BUOXB4H6RB56VDHCBHS","bundle":"https://pith.science/pith/EMA7OO4BUOXB4H6RB56VDHCBHS/bundle.json","state":"https://pith.science/pith/EMA7OO4BUOXB4H6RB56VDHCBHS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EMA7OO4BUOXB4H6RB56VDHCBHS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EMA7OO4BUOXB4H6RB56VDHCBHS","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":"7ea61df2e88388706916cca2ae7278799445290ba2eab691ca62cc2ba2bd5b2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-30T23:51:14Z","title_canon_sha256":"aef881cfce0b5056eced59657c2db0b01ee08e209b8fb6b9fa661299e3fe1a7a"},"schema_version":"1.0","source":{"id":"1810.00487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00487","created_at":"2026-05-18T00:04:26Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00487v1","created_at":"2026-05-18T00:04:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00487","created_at":"2026-05-18T00:04:26Z"},{"alias_kind":"pith_short_12","alias_value":"EMA7OO4BUOXB","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EMA7OO4BUOXB4H6R","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EMA7OO4B","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:f6f74072e2c1e45f93843af1487b45dd5306b97e7edca9ea5d3513e98aaeafa4","target":"graph","created_at":"2026-05-18T00:04:26Z","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 ground state properties in the bilayer Kitaev model by means of the dimer expansion. The existence of parity symmetries in the system reduces the computational cost significantly. This allows us to expand the ground state energy and interlayer spin-spin correlation up to 30th order in the interdimer Kitaev coupling. The numerical calculations clarify that the dimer singlet state is indeed realized in the wide parameter region.","authors_text":"Akihisa Koga, Hiroyuki Tomishige, Joji Nasu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-30T23:51:14Z","title":"Ground-state properties for bilayer Kitaev model: dimer expansion study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00487","kind":"arxiv","version":1},"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":"sha256:601cbf962df56f6d21f2b321dbb1ff288780532537f32efeeb55cb192743ba19","target":"record","created_at":"2026-05-18T00:04:26Z","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":"7ea61df2e88388706916cca2ae7278799445290ba2eab691ca62cc2ba2bd5b2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-30T23:51:14Z","title_canon_sha256":"aef881cfce0b5056eced59657c2db0b01ee08e209b8fb6b9fa661299e3fe1a7a"},"schema_version":"1.0","source":{"id":"1810.00487","kind":"arxiv","version":1}},"canonical_sha256":"2301f73b81a3ae1e1fd10f7d519c413cada15e3c056e5293e2988cdf09f68f17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2301f73b81a3ae1e1fd10f7d519c413cada15e3c056e5293e2988cdf09f68f17","first_computed_at":"2026-05-18T00:04:26.010302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:26.010302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PYsIkI6tTL9/Q6J7yU6iW7BWhcOLMgDgr03VWCkwBTaJlRI8LDTT+4R3vzUz6R9Wcz0sMQY69Vm6vR6mR+PoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:26.010822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:601cbf962df56f6d21f2b321dbb1ff288780532537f32efeeb55cb192743ba19","sha256:f6f74072e2c1e45f93843af1487b45dd5306b97e7edca9ea5d3513e98aaeafa4"],"state_sha256":"fa6c751791bb11aa5146a40f4d32b5e23d913c22fb1f14c21ccb8700d0752486"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMiFbxn+tja+T43QoRvEqCWRsjTm/9HcNauZ0UeGZeklmmHg5/vxEUR1fatS1eLae5b7NtsJwC/uPm/1zkDhBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:39:41.641109Z","bundle_sha256":"cd362c8d4f6e2db7c5e915c10eb5a3e6f78266f06d667a35875cb9f621dd57b3"}}