{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SFTYHDBWQIUZFRFBTNMYLH4TSU","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":"e993e0aeb8d2a57f01cefb990c59983c6dd84739fc6cd988acd3e82650f97469","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-06-16T07:42:22Z","title_canon_sha256":"40bef21a9a435de1a3444aa55cd4db8e9fda1386f829994946ea494b1a2f9eda"},"schema_version":"1.0","source":{"id":"1606.05076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05076","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05076v1","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05076","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"SFTYHDBWQIUZ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SFTYHDBWQIUZFRFB","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SFTYHDBW","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:ef57948043e0d52344c0511964c231a45036e3196f44d2cca5211d4f36f9e185","target":"graph","created_at":"2026-05-18T01:11:40Z","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 use the effective-field theory with correlations based on different cluster sizes to investigate phase diagrams of the frustrated Ising antiferromagnet on the honeycomb lattice with isotropic interactions of the strength $J_1 < 0$ between nearest-neighbour pairs and $J_2 < 0$ between next-nearest neighbour pairs of spins. We present results for the ground-state energy as a function of the frustration parameter $R = J_2 /|J_1|$. We find that the cluster-size has a considerable effect on the existence and location of a tricritical point in the phase diagram at which the phase transition chang","authors_text":"A. Bob\\'ak, M. Borovsk\\'y, M. \\v{Z}ukovi\\v{c}, T. Balcerzak, T. Lu\\v{c}ivjansk\\'y","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-06-16T07:42:22Z","title":"Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05076","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":"sha256:525e76ae8fe241f4de9d1277445d6077e18990be2a35396fb465e1b42c15be4c","target":"record","created_at":"2026-05-18T01:11:40Z","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":"e993e0aeb8d2a57f01cefb990c59983c6dd84739fc6cd988acd3e82650f97469","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-06-16T07:42:22Z","title_canon_sha256":"40bef21a9a435de1a3444aa55cd4db8e9fda1386f829994946ea494b1a2f9eda"},"schema_version":"1.0","source":{"id":"1606.05076","kind":"arxiv","version":1}},"canonical_sha256":"9167838c36822992c4a19b59859f939522ef3338db8d7bd218b643973d22ab36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9167838c36822992c4a19b59859f939522ef3338db8d7bd218b643973d22ab36","first_computed_at":"2026-05-18T01:11:40.849220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:40.849220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bTTD51qB6Mw3wI8yn7DW5aUaEEOOilgFnp80Dv8Apk2C9vpzOVrsmem6uxPo8ijBEOvsSNDM7Z3Tw+ZSlX24AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:40.849653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:525e76ae8fe241f4de9d1277445d6077e18990be2a35396fb465e1b42c15be4c","sha256:ef57948043e0d52344c0511964c231a45036e3196f44d2cca5211d4f36f9e185"],"state_sha256":"0a4dd74964d1fcd0aaed1f92d66101efff75a20fc4f5275e2ee50d13920f8163"}