{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:4G6YZ4ZZAFSLK4ABJPKRHWJGKG","short_pith_number":"pith:4G6YZ4ZZ","canonical_record":{"source":{"id":"hep-lat/9507012","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1995-07-11T16:12:44Z","cross_cats_sorted":["cond-mat","hep-ph","hep-th","nucl-th"],"title_canon_sha256":"96161ca6e208a6171a3fbf48d3c696758721d8a7c9038492994f43843f874d06","abstract_canon_sha256":"3c3cfc361619ef947aca21991ca56edefc66526ef2b38d0d18d623510b3e48ca"},"schema_version":"1.0"},"canonical_sha256":"e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9","source":{"kind":"arxiv","id":"hep-lat/9507012","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9507012","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9507012v2","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9507012","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"4G6YZ4ZZAFSL","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4G6YZ4ZZAFSLK4AB","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4G6YZ4ZZ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:4G6YZ4ZZAFSLK4ABJPKRHWJGKG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9507012","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1995-07-11T16:12:44Z","cross_cats_sorted":["cond-mat","hep-ph","hep-th","nucl-th"],"title_canon_sha256":"96161ca6e208a6171a3fbf48d3c696758721d8a7c9038492994f43843f874d06","abstract_canon_sha256":"3c3cfc361619ef947aca21991ca56edefc66526ef2b38d0d18d623510b3e48ca"},"schema_version":"1.0"},"canonical_sha256":"e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:13.444635Z","signature_b64":"TtL6P1krczc2EBoNrstsY3lehynciirXhZo/3/KAPZh+6FkmBSP687NtCs6y562M92iCWOpqOSoNSxZzlKKJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9","last_reissued_at":"2026-05-18T01:39:13.444121Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:13.444121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9507012","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"594qz9FpyE7RFNeJGvDdM4sMxeA8UN5qjXX+exnUSo2IsqEKIoVI5nMiiZkxQpOITS/0P048nIGlR4nKsax9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:08:00.077635Z"},"content_sha256":"dac36680923f6fa7bdd183d741d7cff098160865440f322ace495875a68c0429","schema_version":"1.0","event_id":"sha256:dac36680923f6fa7bdd183d741d7cff098160865440f322ace495875a68c0429"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:4G6YZ4ZZAFSLK4ABJPKRHWJGKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Transitions at Finite Temperature and Dimensional Reduction for Fermions and Bosons","license":"","headline":"","cross_cats":["cond-mat","hep-ph","hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"A. Kocic, J. B. Kogut","submitted_at":"1995-07-11T16:12:44Z","abstract_excerpt":"In a recent Letter we discussed the fact that large-$N$ expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This was seen to be a counterexample to the standard 'sigma model' scenario which predicts the 2D Ising model universality class. In this article we present more evidence, both theoretical and numerical, that this result is correct. We develop a physical picture for our results and discuss the width of the scaling region (Ginzburg criterion), $1/N$ corre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9507012","kind":"arxiv","version":2},"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":"2026-05-18T01:39:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MenGMJhDHyCXJAI/N7PdHkK4tDcX9wgD2xuXyWWMSumkufC3G0zq7oNv8yfrW2TPd2a2n4t7YYou72erFlZMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:08:00.078308Z"},"content_sha256":"93e35669eda1b849060300a02d63eb4d384d71eb5fc8211e796f339a3dff360f","schema_version":"1.0","event_id":"sha256:93e35669eda1b849060300a02d63eb4d384d71eb5fc8211e796f339a3dff360f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG/bundle.json","state_url":"https://pith.science/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG/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":"2026-05-30T18:08:00Z","links":{"resolver":"https://pith.science/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG","bundle":"https://pith.science/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG/bundle.json","state":"https://pith.science/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4G6YZ4ZZAFSLK4ABJPKRHWJGKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:4G6YZ4ZZAFSLK4ABJPKRHWJGKG","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":"3c3cfc361619ef947aca21991ca56edefc66526ef2b38d0d18d623510b3e48ca","cross_cats_sorted":["cond-mat","hep-ph","hep-th","nucl-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1995-07-11T16:12:44Z","title_canon_sha256":"96161ca6e208a6171a3fbf48d3c696758721d8a7c9038492994f43843f874d06"},"schema_version":"1.0","source":{"id":"hep-lat/9507012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9507012","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9507012v2","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9507012","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"4G6YZ4ZZAFSL","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4G6YZ4ZZAFSLK4AB","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4G6YZ4ZZ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:93e35669eda1b849060300a02d63eb4d384d71eb5fc8211e796f339a3dff360f","target":"graph","created_at":"2026-05-18T01:39:13Z","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 a recent Letter we discussed the fact that large-$N$ expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This was seen to be a counterexample to the standard 'sigma model' scenario which predicts the 2D Ising model universality class. In this article we present more evidence, both theoretical and numerical, that this result is correct. We develop a physical picture for our results and discuss the width of the scaling region (Ginzburg criterion), $1/N$ corre","authors_text":"A. Kocic, J. B. Kogut","cross_cats":["cond-mat","hep-ph","hep-th","nucl-th"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1995-07-11T16:12:44Z","title":"Phase Transitions at Finite Temperature and Dimensional Reduction for Fermions and Bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9507012","kind":"arxiv","version":2},"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:dac36680923f6fa7bdd183d741d7cff098160865440f322ace495875a68c0429","target":"record","created_at":"2026-05-18T01:39:13Z","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":"3c3cfc361619ef947aca21991ca56edefc66526ef2b38d0d18d623510b3e48ca","cross_cats_sorted":["cond-mat","hep-ph","hep-th","nucl-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1995-07-11T16:12:44Z","title_canon_sha256":"96161ca6e208a6171a3fbf48d3c696758721d8a7c9038492994f43843f874d06"},"schema_version":"1.0","source":{"id":"hep-lat/9507012","kind":"arxiv","version":2}},"canonical_sha256":"e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9","first_computed_at":"2026-05-18T01:39:13.444121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:13.444121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TtL6P1krczc2EBoNrstsY3lehynciirXhZo/3/KAPZh+6FkmBSP687NtCs6y562M92iCWOpqOSoNSxZzlKKJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:13.444635Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9507012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dac36680923f6fa7bdd183d741d7cff098160865440f322ace495875a68c0429","sha256:93e35669eda1b849060300a02d63eb4d384d71eb5fc8211e796f339a3dff360f"],"state_sha256":"3c08599d41763b39685cfab39996066444b4288c636dad66ba704ff09c202036"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hSniId9Jt+pyDfY3S+3cszMcXhYi5mB+FKK68reai9ayHlS8loVKclAEFrsO+2jujGFfC82B3u5O/XmN1UhCDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:08:00.081985Z","bundle_sha256":"ffed16c736482d6fc00089b1ae82218e175667ebfd4b3dfeb5596fa2d949f9a2"}}