{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:VWUOOGQKANQ2GGT4FX3FWYADAU","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":"8227520fefd21403bddfe9188630571c5a2be575902621c7117386115e0a56dc","cross_cats_sorted":["hep-lat","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1995-03-12T04:51:26Z","title_canon_sha256":"13056e2c00301c037d0c3ac5701e34ed5e88c538399158009673ec50183da015"},"schema_version":"1.0","source":{"id":"hep-ph/9503304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9503304","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9503304v1","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9503304","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"VWUOOGQKANQ2","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"VWUOOGQKANQ2GGT4","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"VWUOOGQK","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:a3b436c477e26e541480d317129cae4aff4b677616a2729e7f89fa90a2f41f69","target":"graph","created_at":"2026-05-18T04:38:05Z","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 concept of dimensional reduction in the high temperature regime is generalized to static Green's functions of composite operators that contain fermionic fields. The recognition of a natural kinematic region where the lowest Matsubara modes are close to their mass-shell, and the ultraviolet behavior of the running coupling constant of the original theory are crucial for providing the necessary scale hierarchy. The general strategy is illustrated in the asymptotically-free Gross-Neveu model in 1+1 dimensions, where we verify that dimensional reduction occurs to the leading order in $g^2(T)$.","authors_text":"Marcello Lissia, Suzhou Huang","cross_cats":["hep-lat","nucl-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1995-03-12T04:51:26Z","title":"DIMENSIONAL REDUCTION AT HIGH TEMPERATURE FOR FERMIONS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9503304","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":"sha256:65828bd4a75a86cbd6e73d82df1b2523b4d831041c2697fa06356647f42fa9aa","target":"record","created_at":"2026-05-18T04:38:05Z","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":"8227520fefd21403bddfe9188630571c5a2be575902621c7117386115e0a56dc","cross_cats_sorted":["hep-lat","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1995-03-12T04:51:26Z","title_canon_sha256":"13056e2c00301c037d0c3ac5701e34ed5e88c538399158009673ec50183da015"},"schema_version":"1.0","source":{"id":"hep-ph/9503304","kind":"arxiv","version":1}},"canonical_sha256":"ada8e71a0a0361a31a7c2df65b6003050ed2722f747f01e66438579405b59d69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ada8e71a0a0361a31a7c2df65b6003050ed2722f747f01e66438579405b59d69","first_computed_at":"2026-05-18T04:38:05.983985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:05.983985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u6vc4tvfDrM+zPNSK6vg7NraDLyX32jGTppRRP6iH3xI17Fxt6kDFcWHIC4pHQ7YIAzzLewUcHgifLNIrp6FAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:05.984508Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9503304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65828bd4a75a86cbd6e73d82df1b2523b4d831041c2697fa06356647f42fa9aa","sha256:a3b436c477e26e541480d317129cae4aff4b677616a2729e7f89fa90a2f41f69"],"state_sha256":"5770572ec94fb79b94ed3164900d42105e078d9964fae12507ea7e1ebd7dc32c"}