{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TWCWEYPXOH6OFY5MEPS5GGZRDA","short_pith_number":"pith:TWCWEYPX","schema_version":"1.0","canonical_sha256":"9d856261f771fce2e3ac23e5d31b311809f1a4436d131392d0b077addfc79472","source":{"kind":"arxiv","id":"1303.5249","version":2},"attestation_state":"computed","paper":{"title":"Valence-bond crystalline order in the $s=1/2$ $J_{1}$--$J_{2}$ model on the honeycomb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"C. E. Campbell, P. H. Y. Li, R. F. Bishop","submitted_at":"2013-03-21T13:02:57Z","abstract_excerpt":"Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \\equiv xJ_{1}>0$. In the range $0<x<1$ we find four phases exhibiting respectively N\\'{e}el, 6-spin plaquette, staggered dimer, and N\\'{e}el-II orderings, with quantum critical points at $x_{c_{1}} \\approx 0.207(3), x_{c_{2}} \\approx 0.385(10)$, and $x_{c_{3}} \\approx 0.65(5)$. The transitions at $x_{c_{1}}$ and $x_{c_{3}}$ appear to be continuous (and hence deconfine"},"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":"1303.5249","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-03-21T13:02:57Z","cross_cats_sorted":[],"title_canon_sha256":"6144bedd0f032dfa8d53fd26348fc71cda94a92372bd4999f7c9c551ecaf5e5c","abstract_canon_sha256":"285df3533a90ac61c1d823baaab4d8bd64e5f43410f6b6be6601c5c778c2658c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:10.444108Z","signature_b64":"E0Wdj2gfoOFg8mJai2WzXOT3u7RIL72NFs1MKZJMqL8/iPbFkp65/IAm8LTqoZkGS7/MaC+lXYoWBGgDIZ/JCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d856261f771fce2e3ac23e5d31b311809f1a4436d131392d0b077addfc79472","last_reissued_at":"2026-05-18T03:13:10.443621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:10.443621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Valence-bond crystalline order in the $s=1/2$ $J_{1}$--$J_{2}$ model on the honeycomb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"C. E. Campbell, P. H. Y. Li, R. F. Bishop","submitted_at":"2013-03-21T13:02:57Z","abstract_excerpt":"Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \\equiv xJ_{1}>0$. In the range $0<x<1$ we find four phases exhibiting respectively N\\'{e}el, 6-spin plaquette, staggered dimer, and N\\'{e}el-II orderings, with quantum critical points at $x_{c_{1}} \\approx 0.207(3), x_{c_{2}} \\approx 0.385(10)$, and $x_{c_{3}} \\approx 0.65(5)$. The transitions at $x_{c_{1}}$ and $x_{c_{3}}$ appear to be continuous (and hence deconfine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5249","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":"1303.5249","created_at":"2026-05-18T03:13:10.443705+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.5249v2","created_at":"2026-05-18T03:13:10.443705+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5249","created_at":"2026-05-18T03:13:10.443705+00:00"},{"alias_kind":"pith_short_12","alias_value":"TWCWEYPXOH6O","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TWCWEYPXOH6OFY5M","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TWCWEYPX","created_at":"2026-05-18T12:28:02.375192+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/TWCWEYPXOH6OFY5MEPS5GGZRDA","json":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA.json","graph_json":"https://pith.science/api/pith-number/TWCWEYPXOH6OFY5MEPS5GGZRDA/graph.json","events_json":"https://pith.science/api/pith-number/TWCWEYPXOH6OFY5MEPS5GGZRDA/events.json","paper":"https://pith.science/paper/TWCWEYPX"},"agent_actions":{"view_html":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA","download_json":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA.json","view_paper":"https://pith.science/paper/TWCWEYPX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.5249&json=true","fetch_graph":"https://pith.science/api/pith-number/TWCWEYPXOH6OFY5MEPS5GGZRDA/graph.json","fetch_events":"https://pith.science/api/pith-number/TWCWEYPXOH6OFY5MEPS5GGZRDA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA/action/storage_attestation","attest_author":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA/action/author_attestation","sign_citation":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA/action/citation_signature","submit_replication":"https://pith.science/pith/TWCWEYPXOH6OFY5MEPS5GGZRDA/action/replication_record"}},"created_at":"2026-05-18T03:13:10.443705+00:00","updated_at":"2026-05-18T03:13:10.443705+00:00"}