{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NBA33QMHCLGQN7ULDQO5EYGRAJ","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":"4f6e7252a7b8bf1954df6cd7eb94b8979e0478ee0d4b853a6d463dfb21ce29cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-14T18:11:10Z","title_canon_sha256":"d4d6d9614a490dc74b4b6621bcb1c71fdfa5d7800b38139d226a4c2938034be2"},"schema_version":"1.0","source":{"id":"1604.04244","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04244","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04244v1","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04244","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"NBA33QMHCLGQ","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NBA33QMHCLGQN7UL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NBA33QMH","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:8049d1bbcf417e13d9c744d502baec6399128defd402a3e3e74fc32b24013982","target":"graph","created_at":"2026-05-18T01:11:12Z","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":"In this paper, we exactly solve, within the grand canonical ensemble, a minimal spin model with the hybrid phase transition. We call the model \"diffusion-based\" because its hamiltonian can be recovered from a simple dynamic procedure, which can be seen as an equilibrium statistical mechanics representation of a biased random walk. We outline the derivation of the phase diagram of the model, in which the triple point has the hallmarks of the hybrid transition: discontinuity in the average magnetization and algebraically diverging susceptibilities. At this point, two second-order transition curv","authors_text":"Agata Fronczak, Piotr Fronczak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-14T18:11:10Z","title":"Mixed-order phase transition in a minimal, diffusion based spin model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04244","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:c86d452456051d1a5252c03423db0582590025c56e649dcdf14f48f35999a0f7","target":"record","created_at":"2026-05-18T01:11:12Z","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":"4f6e7252a7b8bf1954df6cd7eb94b8979e0478ee0d4b853a6d463dfb21ce29cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-14T18:11:10Z","title_canon_sha256":"d4d6d9614a490dc74b4b6621bcb1c71fdfa5d7800b38139d226a4c2938034be2"},"schema_version":"1.0","source":{"id":"1604.04244","kind":"arxiv","version":1}},"canonical_sha256":"6841bdc18712cd06fe8b1c1dd260d1026810508c22c67f9a6580c03733739cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6841bdc18712cd06fe8b1c1dd260d1026810508c22c67f9a6580c03733739cb9","first_computed_at":"2026-05-18T01:11:12.118231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:12.118231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zHvAKMIQOzr7xUml13OAj5sUkdfCHJbFcQuo+QXogu/yjOcAE8oA15UHKAraJndmlH6ZtBxRt/no7fW+yAPaAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:12.118968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04244","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c86d452456051d1a5252c03423db0582590025c56e649dcdf14f48f35999a0f7","sha256:8049d1bbcf417e13d9c744d502baec6399128defd402a3e3e74fc32b24013982"],"state_sha256":"519cb013bcd5a0fa485084cd2b49e8819f9f3c5cd620918ccddf225f268e9d0a"}