{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KCTDWAHVZEHYR5LJFWF3UMJL3A","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":"c0e47b3d9ed421cc54bf05874ff12b89806659211df49ff651259632cf873a1c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-02-05T16:14:55Z","title_canon_sha256":"96cdf1d4fe7851ece2f09896358eb2a31e6171cb6a8d5181ca5cef26d80c1c11"},"schema_version":"1.0","source":{"id":"cond-mat/0202073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0202073","created_at":"2026-07-04T14:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202073v1","created_at":"2026-07-04T14:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202073","created_at":"2026-07-04T14:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"KCTDWAHVZEHY","created_at":"2026-07-04T14:18:57Z"},{"alias_kind":"pith_short_16","alias_value":"KCTDWAHVZEHYR5LJ","created_at":"2026-07-04T14:18:57Z"},{"alias_kind":"pith_short_8","alias_value":"KCTDWAHV","created_at":"2026-07-04T14:18:57Z"}],"graph_snapshots":[{"event_id":"sha256:46d3c9bf7c8ac31569680993c3ae07500ef9802981a5d7c133dcd9d399a34a73","target":"graph","created_at":"2026-07-04T14:18:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0202073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Properties of the two dimensional Ising model with fixed magnetization are deduced from known exact results on the two dimensional Ising model. The existence of a continuous phase transition is shown for arbitrary values of the fixed magnetization when crossing the boundary of the coexistence region. Modifications of this result for systems of spatial dimension greater than two are discussed.","authors_text":"Michael Kastner","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-02-05T16:14:55Z","title":"Existence and order of the phase transition of the Ising model with fixed magnetization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0202073","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":"sha256:33ec82868fb9b713d21e3d786db6d5bb28f0576392c56e376e8a941077ac7a91","target":"record","created_at":"2026-07-04T14:18:57Z","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":"c0e47b3d9ed421cc54bf05874ff12b89806659211df49ff651259632cf873a1c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-02-05T16:14:55Z","title_canon_sha256":"96cdf1d4fe7851ece2f09896358eb2a31e6171cb6a8d5181ca5cef26d80c1c11"},"schema_version":"1.0","source":{"id":"cond-mat/0202073","kind":"arxiv","version":1}},"canonical_sha256":"50a63b00f5c90f88f5692d8bba312bd83f951e56774cbccd0fabf4ca9af501ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50a63b00f5c90f88f5692d8bba312bd83f951e56774cbccd0fabf4ca9af501ef","first_computed_at":"2026-07-04T14:18:57.763899Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:18:57.763899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+fqazDZxHCa4dgTsbWLl0JduM6stzvC8NEeo/t9dDvEvByIeXKc7gIT92Mpstpl5bsa9DwhiNimCaHgIzHlNBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:18:57.764298Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0202073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33ec82868fb9b713d21e3d786db6d5bb28f0576392c56e376e8a941077ac7a91","sha256:46d3c9bf7c8ac31569680993c3ae07500ef9802981a5d7c133dcd9d399a34a73"],"state_sha256":"9a356d4fd6bda4457ca6062fe687d5c10c3783867e57cff2a53978e4a9014a7a"}