{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FTWVG2GWPEZYG7XQGMUMRSDEG5","short_pith_number":"pith:FTWVG2GW","canonical_record":{"source":{"id":"1503.05094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-17T15:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"e0a078c5d457b46b22214b36717ee76a034528190744267131706a132a556d82","abstract_canon_sha256":"fdfbf929a10b9ef33ba7215efc2b1f6962e965e80bb0f3105ca530cf15fa6f11"},"schema_version":"1.0"},"canonical_sha256":"2ced5368d67933837ef03328c8c864376471aefcc5860f06498d296dda71b9cf","source":{"kind":"arxiv","id":"1503.05094","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05094","created_at":"2026-05-18T01:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05094v1","created_at":"2026-05-18T01:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05094","created_at":"2026-05-18T01:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"FTWVG2GWPEZY","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FTWVG2GWPEZYG7XQ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FTWVG2GW","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FTWVG2GWPEZYG7XQGMUMRSDEG5","target":"record","payload":{"canonical_record":{"source":{"id":"1503.05094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-17T15:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"e0a078c5d457b46b22214b36717ee76a034528190744267131706a132a556d82","abstract_canon_sha256":"fdfbf929a10b9ef33ba7215efc2b1f6962e965e80bb0f3105ca530cf15fa6f11"},"schema_version":"1.0"},"canonical_sha256":"2ced5368d67933837ef03328c8c864376471aefcc5860f06498d296dda71b9cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:27.255194Z","signature_b64":"dAUfmUyxRRRqv08J+jMQOawc7eG485c3wTULWGSayyn2bS5qpLZLR4BmToN+jRRfbEjtP7VRjd9b9ebAJS3wDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ced5368d67933837ef03328c8c864376471aefcc5860f06498d296dda71b9cf","last_reissued_at":"2026-05-18T01:37:27.254180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:27.254180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.05094","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":"2026-05-18T01:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dQCHvz7T1pwi/p708/wycYD2Yju1CEnObA43bntcDJEj6g/Snq23qgI7mGFEY1TEGaojo5Edkh3O5MoP0v5GDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:11:52.713617Z"},"content_sha256":"323b35f05c5edd13a16647e083240d0fb0e030dd901fa1c1ded3cb90d90759ad","schema_version":"1.0","event_id":"sha256:323b35f05c5edd13a16647e083240d0fb0e030dd901fa1c1ded3cb90d90759ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FTWVG2GWPEZYG7XQGMUMRSDEG5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transitions in a frustrated Ising antiferromagnet on a square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Bob\\'ak, M. Borovsk\\'y, M. \\v{Z}ukovi\\v{c}, T. Lu\\v{c}ivjansk\\'y","submitted_at":"2015-03-17T15:34:50Z","abstract_excerpt":"The phase transitions occurring in the frustrated Ising square antiferromagnet with first- ($J_1 < 0$) and second- ($J_2 < 0$) nearest-neighbor interactions are studied within the framework of the effective-field theory with correlations based on the different cluster sizes and for a wide range of $R = J_2/|J_1|$. Despite the simplicity of the model, it has proved difficult to precisely determine the order of the phase transitions. In contrast to the previous effective-field study, we have found a first-order transition line in the region close to $R = -0.5$ not only between the superantiferro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05094","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":"2026-05-18T01:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+6+zIM6ndfETtxKeDIWXqIHWVWXYxFiMWy/t7NLO4PVl0Hg19lO4tNt1wjFsQShXQf7yHDJGrUU0hGtZ6sqmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:11:52.713963Z"},"content_sha256":"938e576ab3b6c6581cea181f566e7aace291507b29bd8650e0092d395a24c526","schema_version":"1.0","event_id":"sha256:938e576ab3b6c6581cea181f566e7aace291507b29bd8650e0092d395a24c526"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5/bundle.json","state_url":"https://pith.science/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5/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":"2026-06-03T00:11:52Z","links":{"resolver":"https://pith.science/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5","bundle":"https://pith.science/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5/bundle.json","state":"https://pith.science/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTWVG2GWPEZYG7XQGMUMRSDEG5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FTWVG2GWPEZYG7XQGMUMRSDEG5","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":"fdfbf929a10b9ef33ba7215efc2b1f6962e965e80bb0f3105ca530cf15fa6f11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-17T15:34:50Z","title_canon_sha256":"e0a078c5d457b46b22214b36717ee76a034528190744267131706a132a556d82"},"schema_version":"1.0","source":{"id":"1503.05094","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05094","created_at":"2026-05-18T01:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05094v1","created_at":"2026-05-18T01:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05094","created_at":"2026-05-18T01:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"FTWVG2GWPEZY","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FTWVG2GWPEZYG7XQ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FTWVG2GW","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:938e576ab3b6c6581cea181f566e7aace291507b29bd8650e0092d395a24c526","target":"graph","created_at":"2026-05-18T01:37:27Z","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":"The phase transitions occurring in the frustrated Ising square antiferromagnet with first- ($J_1 < 0$) and second- ($J_2 < 0$) nearest-neighbor interactions are studied within the framework of the effective-field theory with correlations based on the different cluster sizes and for a wide range of $R = J_2/|J_1|$. Despite the simplicity of the model, it has proved difficult to precisely determine the order of the phase transitions. In contrast to the previous effective-field study, we have found a first-order transition line in the region close to $R = -0.5$ not only between the superantiferro","authors_text":"A. Bob\\'ak, M. Borovsk\\'y, M. \\v{Z}ukovi\\v{c}, 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":"2015-03-17T15:34:50Z","title":"Phase transitions in a frustrated Ising antiferromagnet on a square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05094","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":"sha256:323b35f05c5edd13a16647e083240d0fb0e030dd901fa1c1ded3cb90d90759ad","target":"record","created_at":"2026-05-18T01:37:27Z","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":"fdfbf929a10b9ef33ba7215efc2b1f6962e965e80bb0f3105ca530cf15fa6f11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-17T15:34:50Z","title_canon_sha256":"e0a078c5d457b46b22214b36717ee76a034528190744267131706a132a556d82"},"schema_version":"1.0","source":{"id":"1503.05094","kind":"arxiv","version":1}},"canonical_sha256":"2ced5368d67933837ef03328c8c864376471aefcc5860f06498d296dda71b9cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ced5368d67933837ef03328c8c864376471aefcc5860f06498d296dda71b9cf","first_computed_at":"2026-05-18T01:37:27.254180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:27.254180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dAUfmUyxRRRqv08J+jMQOawc7eG485c3wTULWGSayyn2bS5qpLZLR4BmToN+jRRfbEjtP7VRjd9b9ebAJS3wDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:27.255194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05094","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:323b35f05c5edd13a16647e083240d0fb0e030dd901fa1c1ded3cb90d90759ad","sha256:938e576ab3b6c6581cea181f566e7aace291507b29bd8650e0092d395a24c526"],"state_sha256":"f0195f48e4bb436a66027a38a8de88235605841f01bca1018ccc750277d844f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z1+D7i0w7f7o+lOybbhbKTmoNTVjAXbPSkKMbT2w+UzQ8xqW/UWm5j2X7pY7LfT1/13CHYi/CAN5r1J/epjSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:11:52.715857Z","bundle_sha256":"33b5e59d4937e6746ef07a7880296a461e704e7f885af61c3b233009537d8f9d"}}