{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:WW57UY6ZTXSSLX7MOJKWHW3XIT","short_pith_number":"pith:WW57UY6Z","canonical_record":{"source":{"id":"hep-lat/9601027","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1996-01-30T13:23:35Z","cross_cats_sorted":[],"title_canon_sha256":"c529c23d5b78337850f179c35606ee94026c76f649aaf98a1f7cc937e0ee7e93","abstract_canon_sha256":"39e58d2e39a697dec676d00825cc665c3ebe91737d403f03349f604c4adf85a3"},"schema_version":"1.0"},"canonical_sha256":"b5bbfa63d99de525dfec725563db7744c298ae77338d0f848bb778db4bfda73d","source":{"kind":"arxiv","id":"hep-lat/9601027","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9601027","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9601027v1","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9601027","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"WW57UY6ZTXSS","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"WW57UY6ZTXSSLX7M","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"WW57UY6Z","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:WW57UY6ZTXSSLX7MOJKWHW3XIT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9601027","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1996-01-30T13:23:35Z","cross_cats_sorted":[],"title_canon_sha256":"c529c23d5b78337850f179c35606ee94026c76f649aaf98a1f7cc937e0ee7e93","abstract_canon_sha256":"39e58d2e39a697dec676d00825cc665c3ebe91737d403f03349f604c4adf85a3"},"schema_version":"1.0"},"canonical_sha256":"b5bbfa63d99de525dfec725563db7744c298ae77338d0f848bb778db4bfda73d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:13.344492Z","signature_b64":"hkUaqLZr9CSnAchBJFYRg3iS1ijZMKW0Lp4K5IGZ80akF/dgoyCWj1++CAEHUBdqYm6JveeJQ8mEVMkWlApdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5bbfa63d99de525dfec725563db7744c298ae77338d0f848bb778db4bfda73d","last_reissued_at":"2026-05-18T01:39:13.343831Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:13.343831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9601027","source_version":1,"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":"b94Od1Rc29Kw8oauqWcebSjpXuKCUMiLemYzWY3VAhsAYzjM08fbBluWRFTuj3wLlkMJEsfZXZ+mD9i6g6hbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:41:46.039719Z"},"content_sha256":"0f9d58b4134a8127d54ef7631856d28108e3f7d0e23925843d69ec788b7762e6","schema_version":"1.0","event_id":"sha256:0f9d58b4134a8127d54ef7631856d28108e3f7d0e23925843d69ec788b7762e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:WW57UY6ZTXSSLX7MOJKWHW3XIT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The gauged Nambu - Jona Lasinio model: a mean field calculation with non mean field exponents","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A.F. Grillo, A. Galante, C.E. Piedrafita, G. Di Carlo, V. Azcoiti, V. Laliena","submitted_at":"1996-01-30T13:23:35Z","abstract_excerpt":"We analyse the phase diagram of the lattice gauged Nambu-Jona Lasinio model with the help of a mean field approximation plus numerical simulations. We find a phase transition line in the coupling parameters space separating the chirally broken phase from the symmetric phase, which is in good qualitative agreement with results obtained in the quenched-ladder approximation. The mean field approximation relates the critical exponents along the continuous phase transition line with the mass dependence of the chiral condensate in the Coulomb phase of standard noncompact $QED$. Our numerical results"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9601027","kind":"arxiv","version":1},"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":"4PN3fySbrpFz3dt3PSguJu27UvKttbx/1UqB/8xQp8V8FA8tLNGjw9+716crgXRldV27LXd5wg0aD5zHznaPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:41:46.040489Z"},"content_sha256":"7553415b65a95e1959698ab1d7531b2d4aeba151ac4296a011c881f759977f31","schema_version":"1.0","event_id":"sha256:7553415b65a95e1959698ab1d7531b2d4aeba151ac4296a011c881f759977f31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT/bundle.json","state_url":"https://pith.science/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT/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":"2026-05-26T12:41:46Z","links":{"resolver":"https://pith.science/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT","bundle":"https://pith.science/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT/bundle.json","state":"https://pith.science/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WW57UY6ZTXSSLX7MOJKWHW3XIT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:WW57UY6ZTXSSLX7MOJKWHW3XIT","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":"39e58d2e39a697dec676d00825cc665c3ebe91737d403f03349f604c4adf85a3","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1996-01-30T13:23:35Z","title_canon_sha256":"c529c23d5b78337850f179c35606ee94026c76f649aaf98a1f7cc937e0ee7e93"},"schema_version":"1.0","source":{"id":"hep-lat/9601027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9601027","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9601027v1","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9601027","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"WW57UY6ZTXSS","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"WW57UY6ZTXSSLX7M","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"WW57UY6Z","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:7553415b65a95e1959698ab1d7531b2d4aeba151ac4296a011c881f759977f31","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":"We analyse the phase diagram of the lattice gauged Nambu-Jona Lasinio model with the help of a mean field approximation plus numerical simulations. We find a phase transition line in the coupling parameters space separating the chirally broken phase from the symmetric phase, which is in good qualitative agreement with results obtained in the quenched-ladder approximation. The mean field approximation relates the critical exponents along the continuous phase transition line with the mass dependence of the chiral condensate in the Coulomb phase of standard noncompact $QED$. Our numerical results","authors_text":"A.F. Grillo, A. Galante, C.E. Piedrafita, G. Di Carlo, V. Azcoiti, V. Laliena","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1996-01-30T13:23:35Z","title":"The gauged Nambu - Jona Lasinio model: a mean field calculation with non mean field exponents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9601027","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":"sha256:0f9d58b4134a8127d54ef7631856d28108e3f7d0e23925843d69ec788b7762e6","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":"39e58d2e39a697dec676d00825cc665c3ebe91737d403f03349f604c4adf85a3","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1996-01-30T13:23:35Z","title_canon_sha256":"c529c23d5b78337850f179c35606ee94026c76f649aaf98a1f7cc937e0ee7e93"},"schema_version":"1.0","source":{"id":"hep-lat/9601027","kind":"arxiv","version":1}},"canonical_sha256":"b5bbfa63d99de525dfec725563db7744c298ae77338d0f848bb778db4bfda73d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5bbfa63d99de525dfec725563db7744c298ae77338d0f848bb778db4bfda73d","first_computed_at":"2026-05-18T01:39:13.343831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:13.343831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hkUaqLZr9CSnAchBJFYRg3iS1ijZMKW0Lp4K5IGZ80akF/dgoyCWj1++CAEHUBdqYm6JveeJQ8mEVMkWlApdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:13.344492Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9601027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f9d58b4134a8127d54ef7631856d28108e3f7d0e23925843d69ec788b7762e6","sha256:7553415b65a95e1959698ab1d7531b2d4aeba151ac4296a011c881f759977f31"],"state_sha256":"ee431ac5b06e05cb895867ff0e6f19abbdca94f2b446ecd16a99c8c521af3e8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UaSwzs9Mi1UpFIwj219G8BKv3nNt4FQAc+aEumJ6pzF2Ou8C+zZyMXhr3dSbdYmeAR0rJFOxnHos1NXVsgB7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:41:46.044522Z","bundle_sha256":"e3663d1251435bfbea3596755610d269079920709f5ab443afb2d99b6ff1fae2"}}