{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:KOSGOQIUPBZDM24QU3BJ3QWNAB","short_pith_number":"pith:KOSGOQIU","canonical_record":{"source":{"id":"cond-mat/0607473","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-19T07:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"1da4a14bd7abe45dbee4075d18da1519661dd8dd3e30ca68351b6d2a4f71b7c8","abstract_canon_sha256":"4cb9f01e1cb639ec7768bd169c674f1542012251ee5a478371065e3c8c3f0321"},"schema_version":"1.0"},"canonical_sha256":"53a46741147872366b90a6c29dc2cd00726a373d0b3039b418780fd6f607ecc8","source":{"kind":"arxiv","id":"cond-mat/0607473","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607473","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607473v1","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607473","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"KOSGOQIUPBZD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"KOSGOQIUPBZDM24Q","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"KOSGOQIU","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:KOSGOQIUPBZDM24QU3BJ3QWNAB","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0607473","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-19T07:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"1da4a14bd7abe45dbee4075d18da1519661dd8dd3e30ca68351b6d2a4f71b7c8","abstract_canon_sha256":"4cb9f01e1cb639ec7768bd169c674f1542012251ee5a478371065e3c8c3f0321"},"schema_version":"1.0"},"canonical_sha256":"53a46741147872366b90a6c29dc2cd00726a373d0b3039b418780fd6f607ecc8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:44.816618Z","signature_b64":"driIJxFU+UjJtcaO2RwYuW/dKcpMxFVXt3b9F2GKZ6ZwJIbpEV0KfMHpyLQuRyCjjuU0o8xpSyCJclC+WrnzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53a46741147872366b90a6c29dc2cd00726a373d0b3039b418780fd6f607ecc8","last_reissued_at":"2026-05-18T01:39:44.816025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:44.816025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0607473","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZitscmBFijmDFoFv1UHx3QHrqekoYKUyBa/8RnWOBdXKMjd/XQiflNuUm5OUJrjeUtoihGXRj3AteHXg1NYlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:22:17.481567Z"},"content_sha256":"cd2200e7d0550c946c43b2b65b10e389701559c3ec56c75d98237f8194c1a460","schema_version":"1.0","event_id":"sha256:cd2200e7d0550c946c43b2b65b10e389701559c3ec56c75d98237f8194c1a460"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:KOSGOQIUPBZDM24QU3BJ3QWNAB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak universal critical behaviour of the mixed spin-(1/2, S) Ising model on the union jack (centered square) lattice: integer versus half-odd-integer spin-S case","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jan Dely, Jozef Strecka, Lucia Canova","submitted_at":"2006-07-19T07:08:31Z","abstract_excerpt":"The mixed spin-(1/2, S) Ising model on the union jack (centered square) lattice is investigated by establishing the mapping relationship with its corresponding eight-vertex model. An interplay between the nearest-neighbour interaction, the competing next-nearest-neighbour interaction and the single-ion anisotropy gives rise to a rather complex critical behaviour displayed in the reentrant phase transitions, the weak universal critical behaviour, as well as, a presence of first- and second-order phase transitions. The most interesting finding to emerge from the present study relates to a variat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607473","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvuP0vQJGFH+uWMUgE8Sg/9Lf5Ebr+gG/NUnNYFHlc1doZSuFU02GsCHYN5L9Yny21R1/v0+gk+ptds6Z4rcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:22:17.481919Z"},"content_sha256":"7ea88c1fd645d59d6ca49bcd7fead8f501caf8a665dfccfc5bda586745eba89e","schema_version":"1.0","event_id":"sha256:7ea88c1fd645d59d6ca49bcd7fead8f501caf8a665dfccfc5bda586745eba89e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB/bundle.json","state_url":"https://pith.science/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB/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":"2026-05-26T07:22:17Z","links":{"resolver":"https://pith.science/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB","bundle":"https://pith.science/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB/bundle.json","state":"https://pith.science/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOSGOQIUPBZDM24QU3BJ3QWNAB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:KOSGOQIUPBZDM24QU3BJ3QWNAB","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":"4cb9f01e1cb639ec7768bd169c674f1542012251ee5a478371065e3c8c3f0321","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-19T07:08:31Z","title_canon_sha256":"1da4a14bd7abe45dbee4075d18da1519661dd8dd3e30ca68351b6d2a4f71b7c8"},"schema_version":"1.0","source":{"id":"cond-mat/0607473","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607473","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607473v1","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607473","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"KOSGOQIUPBZD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"KOSGOQIUPBZDM24Q","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"KOSGOQIU","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:7ea88c1fd645d59d6ca49bcd7fead8f501caf8a665dfccfc5bda586745eba89e","target":"graph","created_at":"2026-05-18T01:39:44Z","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 mixed spin-(1/2, S) Ising model on the union jack (centered square) lattice is investigated by establishing the mapping relationship with its corresponding eight-vertex model. An interplay between the nearest-neighbour interaction, the competing next-nearest-neighbour interaction and the single-ion anisotropy gives rise to a rather complex critical behaviour displayed in the reentrant phase transitions, the weak universal critical behaviour, as well as, a presence of first- and second-order phase transitions. The most interesting finding to emerge from the present study relates to a variat","authors_text":"Jan Dely, Jozef Strecka, Lucia Canova","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-19T07:08:31Z","title":"Weak universal critical behaviour of the mixed spin-(1/2, S) Ising model on the union jack (centered square) lattice: integer versus half-odd-integer spin-S case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607473","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:cd2200e7d0550c946c43b2b65b10e389701559c3ec56c75d98237f8194c1a460","target":"record","created_at":"2026-05-18T01:39:44Z","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":"4cb9f01e1cb639ec7768bd169c674f1542012251ee5a478371065e3c8c3f0321","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-19T07:08:31Z","title_canon_sha256":"1da4a14bd7abe45dbee4075d18da1519661dd8dd3e30ca68351b6d2a4f71b7c8"},"schema_version":"1.0","source":{"id":"cond-mat/0607473","kind":"arxiv","version":1}},"canonical_sha256":"53a46741147872366b90a6c29dc2cd00726a373d0b3039b418780fd6f607ecc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53a46741147872366b90a6c29dc2cd00726a373d0b3039b418780fd6f607ecc8","first_computed_at":"2026-05-18T01:39:44.816025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:44.816025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"driIJxFU+UjJtcaO2RwYuW/dKcpMxFVXt3b9F2GKZ6ZwJIbpEV0KfMHpyLQuRyCjjuU0o8xpSyCJclC+WrnzAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:44.816618Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0607473","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd2200e7d0550c946c43b2b65b10e389701559c3ec56c75d98237f8194c1a460","sha256:7ea88c1fd645d59d6ca49bcd7fead8f501caf8a665dfccfc5bda586745eba89e"],"state_sha256":"eb14385c9ef76fa9f598e7250fd37e627d1fb9bd822a2c69846b018fdd544670"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZtjlHANPbuus+ZTktJSmQHy5HbUWsDfroDM3UtuOmweNseei+Z2unn8GfbX3ARv70fyP04BhChrbh0FR9oCAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:22:17.484368Z","bundle_sha256":"e2da8629e582b30ae8324e13c6627d6fff69ce7f84d8041a31373f40f338e549"}}