{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OAR6XNN5EO7QK7BKQYM7FWMOTX","short_pith_number":"pith:OAR6XNN5","canonical_record":{"source":{"id":"1812.06253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-12-15T08:08:29Z","cross_cats_sorted":[],"title_canon_sha256":"606c62ae1fc71719215be592a3ed288840124613f9f2cb321a6f5820305b1a45","abstract_canon_sha256":"1d1f0d1ab85b6bb4a7b31b1e1849d96817fb55ebea782e6b4f2718076de6c909"},"schema_version":"1.0"},"canonical_sha256":"7023ebb5bd23bf057c2a8619f2d98e9dc4b6ea0492c5d8ad730128eba3b3396d","source":{"kind":"arxiv","id":"1812.06253","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06253","created_at":"2026-05-17T23:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06253v2","created_at":"2026-05-17T23:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06253","created_at":"2026-05-17T23:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"OAR6XNN5EO7Q","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OAR6XNN5EO7QK7BK","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OAR6XNN5","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OAR6XNN5EO7QK7BKQYM7FWMOTX","target":"record","payload":{"canonical_record":{"source":{"id":"1812.06253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-12-15T08:08:29Z","cross_cats_sorted":[],"title_canon_sha256":"606c62ae1fc71719215be592a3ed288840124613f9f2cb321a6f5820305b1a45","abstract_canon_sha256":"1d1f0d1ab85b6bb4a7b31b1e1849d96817fb55ebea782e6b4f2718076de6c909"},"schema_version":"1.0"},"canonical_sha256":"7023ebb5bd23bf057c2a8619f2d98e9dc4b6ea0492c5d8ad730128eba3b3396d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:58.122786Z","signature_b64":"U6JT8nErBReg2CGZBkEz3pNNp2exZA7/zRwyesq31Le0glYprxUGfjcrvNycDRPUlVt/LL+1hn/FGkengoYiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7023ebb5bd23bf057c2a8619f2d98e9dc4b6ea0492c5d8ad730128eba3b3396d","last_reissued_at":"2026-05-17T23:44:58.122051Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:58.122051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.06253","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":"2026-05-17T23:44:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2a4n14FczUqvAK1kmeAiAZKKxKmV8aVpNkXmmDRRpdWZQleVFKgFOX75MoaBcbO7jXjLFT0kXGcrGRwTcvfkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:23:56.684370Z"},"content_sha256":"ee208fb77dadc1f30d6a3d55dc173ed6ff64fc72d185b0363ee1fba1ab339b31","schema_version":"1.0","event_id":"sha256:ee208fb77dadc1f30d6a3d55dc173ed6ff64fc72d185b0363ee1fba1ab339b31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OAR6XNN5EO7QK7BKQYM7FWMOTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parity-dependent phase diagrams in spin-cluster two-leg ladders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fuzhou Chen, Hong-Gang Luo, Jize Zhao, Yin Zhong, Zongsheng Zhou","submitted_at":"2018-12-15T08:08:29Z","abstract_excerpt":"Motivated by the recent experiment on $\\rm{K_2Cu_3O\\left(SO_4\\right)_3}$, an edge-shared tetrahedral spin-cluster compound [M. Fujihala \\textit{et al.}, Phys. Rev. Lett. \\textbf{120}, 077201 (2018)], we investigate two-leg spin-cluster ladders with the plaquette number $n_p$ in each cluster up to six by the density-matrix renormalization group method. We find that the phase diagram of such ladders strongly depends on the parity of $n_p$. For even $n_p$, the phase diagram has two phases, one is the Haldane phase, and the other is the cluster rung-singlet phase. For odd $n_p$, there are four pha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06253","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":"2026-05-17T23:44:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cvGg56gicwMTSgIZYIhH3DWI9amkbzklHAMH3a9n1WD6tWu/PO/CuAfBLGfgs4/iIg/Xjc4gjXYeneGiqaTeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:23:56.685223Z"},"content_sha256":"65497a603c23a9042203c6599aa248976cda81d94c1d9b8da519cc110838af95","schema_version":"1.0","event_id":"sha256:65497a603c23a9042203c6599aa248976cda81d94c1d9b8da519cc110838af95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX/bundle.json","state_url":"https://pith.science/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX/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":"2026-05-31T01:23:56Z","links":{"resolver":"https://pith.science/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX","bundle":"https://pith.science/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX/bundle.json","state":"https://pith.science/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OAR6XNN5EO7QK7BKQYM7FWMOTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OAR6XNN5EO7QK7BKQYM7FWMOTX","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":"1d1f0d1ab85b6bb4a7b31b1e1849d96817fb55ebea782e6b4f2718076de6c909","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-12-15T08:08:29Z","title_canon_sha256":"606c62ae1fc71719215be592a3ed288840124613f9f2cb321a6f5820305b1a45"},"schema_version":"1.0","source":{"id":"1812.06253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06253","created_at":"2026-05-17T23:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06253v2","created_at":"2026-05-17T23:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06253","created_at":"2026-05-17T23:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"OAR6XNN5EO7Q","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OAR6XNN5EO7QK7BK","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OAR6XNN5","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:65497a603c23a9042203c6599aa248976cda81d94c1d9b8da519cc110838af95","target":"graph","created_at":"2026-05-17T23:44:58Z","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":"Motivated by the recent experiment on $\\rm{K_2Cu_3O\\left(SO_4\\right)_3}$, an edge-shared tetrahedral spin-cluster compound [M. Fujihala \\textit{et al.}, Phys. Rev. Lett. \\textbf{120}, 077201 (2018)], we investigate two-leg spin-cluster ladders with the plaquette number $n_p$ in each cluster up to six by the density-matrix renormalization group method. We find that the phase diagram of such ladders strongly depends on the parity of $n_p$. For even $n_p$, the phase diagram has two phases, one is the Haldane phase, and the other is the cluster rung-singlet phase. For odd $n_p$, there are four pha","authors_text":"Fuzhou Chen, Hong-Gang Luo, Jize Zhao, Yin Zhong, Zongsheng Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-12-15T08:08:29Z","title":"Parity-dependent phase diagrams in spin-cluster two-leg ladders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06253","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:ee208fb77dadc1f30d6a3d55dc173ed6ff64fc72d185b0363ee1fba1ab339b31","target":"record","created_at":"2026-05-17T23:44:58Z","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":"1d1f0d1ab85b6bb4a7b31b1e1849d96817fb55ebea782e6b4f2718076de6c909","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-12-15T08:08:29Z","title_canon_sha256":"606c62ae1fc71719215be592a3ed288840124613f9f2cb321a6f5820305b1a45"},"schema_version":"1.0","source":{"id":"1812.06253","kind":"arxiv","version":2}},"canonical_sha256":"7023ebb5bd23bf057c2a8619f2d98e9dc4b6ea0492c5d8ad730128eba3b3396d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7023ebb5bd23bf057c2a8619f2d98e9dc4b6ea0492c5d8ad730128eba3b3396d","first_computed_at":"2026-05-17T23:44:58.122051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:58.122051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U6JT8nErBReg2CGZBkEz3pNNp2exZA7/zRwyesq31Le0glYprxUGfjcrvNycDRPUlVt/LL+1hn/FGkengoYiAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:58.122786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.06253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee208fb77dadc1f30d6a3d55dc173ed6ff64fc72d185b0363ee1fba1ab339b31","sha256:65497a603c23a9042203c6599aa248976cda81d94c1d9b8da519cc110838af95"],"state_sha256":"83d6d9fa326ecc4ead5746d4dd3cc05a569ac9dd5cde2811c65540837d9744cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbrpRwuu1iRh988WJB9M7w6BDWbIKQ6wo7RhfPLGtG8Xl4rGBSZ/e1syVyYpXSmqNJ1NTSxkQ4JFH9c+cweTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:23:56.689848Z","bundle_sha256":"8f79c8e6393e84407213441e20e1fa94767472a382a163f0e8b767d1ff081a0c"}}