{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XLGGADFSSWRV2NQ6HG276NJ7DR","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":"d67a3037a1296cedba766332085218643786dbc1f7713546da8d249ead4109b0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-28T23:46:20Z","title_canon_sha256":"6dc0985e5de0d7ece1e88e3e3c2ae8f64f51822290ad1ce4722e38cf6a05164a"},"schema_version":"1.0","source":{"id":"2605.30663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.30663","created_at":"2026-06-01T01:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.30663v1","created_at":"2026-06-01T01:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.30663","created_at":"2026-06-01T01:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"XLGGADFSSWRV","created_at":"2026-06-01T01:03:07Z"},{"alias_kind":"pith_short_16","alias_value":"XLGGADFSSWRV2NQ6","created_at":"2026-06-01T01:03:07Z"},{"alias_kind":"pith_short_8","alias_value":"XLGGADFS","created_at":"2026-06-01T01:03:07Z"}],"graph_snapshots":[{"event_id":"sha256:cb06c1f44d4cc5422341edf49fc80041615c9864aa188c7cb02c11457e56afde","target":"graph","created_at":"2026-06-01T01:03:07Z","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/2605.30663/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the repulsive Hubbard model at half filling in the strong-coupling regime, with a staggered magnetic field of strength \\(h\\). The analysis is carried out in the canonical half-filled ensemble, with temperature measured on the Heisenberg scale \\(J_0(U)=4t^2/U\\). Uniformly for \\(|h|\\le h_0\\) and \\(\\beta J_0(U)\\ge \\ell_0\\), we prove finite-volume Hubbard--Heisenberg pressure estimates with errors uniform in the system size. These estimates pass to thermodynamic limits whenever the limiting pressures exist.\n  The proof uses a strong-coupling unitary transformation which separates the sing","authors_text":"Tadahiro Miyao","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-28T23:46:20Z","title":"Hubbard--Heisenberg Thermodynamic Comparison at Half Filling in a Fixed Staggered Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.30663","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:aeb66c565a72da284c4894ce180a7e5c9789be6bdbea49a7c02d9534d653e39f","target":"record","created_at":"2026-06-01T01:03:07Z","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":"d67a3037a1296cedba766332085218643786dbc1f7713546da8d249ead4109b0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-28T23:46:20Z","title_canon_sha256":"6dc0985e5de0d7ece1e88e3e3c2ae8f64f51822290ad1ce4722e38cf6a05164a"},"schema_version":"1.0","source":{"id":"2605.30663","kind":"arxiv","version":1}},"canonical_sha256":"bacc600cb295a35d361e39b5ff353f1c617c2a13e2485b49e8c1b7d8fc08c814","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bacc600cb295a35d361e39b5ff353f1c617c2a13e2485b49e8c1b7d8fc08c814","first_computed_at":"2026-06-01T01:03:07.130698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:03:07.130698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"esOCsBNQOk2o99wvmV9CEE0t4m0MLWhrtjxoe/1KfCSxDjknuI/pGVnKNFweHC+Y7viOdyK7aEnCuuAJdU5WDA==","signature_status":"signed_v1","signed_at":"2026-06-01T01:03:07.131597Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.30663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aeb66c565a72da284c4894ce180a7e5c9789be6bdbea49a7c02d9534d653e39f","sha256:cb06c1f44d4cc5422341edf49fc80041615c9864aa188c7cb02c11457e56afde"],"state_sha256":"fe1c43ec7f355723b681460b3b1253561419453e69b97ff055a44bb938d58712"}