{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:X443XKRSEKQYTHAATMHKWZOXFU","short_pith_number":"pith:X443XKRS","canonical_record":{"source":{"id":"hep-th/9512086","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-12T13:13:38Z","cross_cats_sorted":[],"title_canon_sha256":"950c46af82423ff82cb7df7c3e6aca7718c6906a333483602b39b31153528412","abstract_canon_sha256":"40ee34457d7bc8b8ca0a748f3f74888fbedf9abbc5a25444a2ed7a8e3a1b48c3"},"schema_version":"1.0"},"canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","source":{"kind":"arxiv","id":"hep-th/9512086","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9512086","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512086v3","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512086","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"pith_short_12","alias_value":"X443XKRSEKQY","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"pith_short_16","alias_value":"X443XKRSEKQYTHAA","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"pith_short_8","alias_value":"X443XKRS","created_at":"2026-07-04T15:59:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:X443XKRSEKQYTHAATMHKWZOXFU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9512086","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-12T13:13:38Z","cross_cats_sorted":[],"title_canon_sha256":"950c46af82423ff82cb7df7c3e6aca7718c6906a333483602b39b31153528412","abstract_canon_sha256":"40ee34457d7bc8b8ca0a748f3f74888fbedf9abbc5a25444a2ed7a8e3a1b48c3"},"schema_version":"1.0"},"canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:47.996086Z","signature_b64":"G3fjocaK8Cpu0XcUj3+bPt831sE/nBqlzzjs5RRiKShnSkXgR2KuhOXRP3Q387E6Aaogtz6Q6l8G+QSGiaeMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","last_reissued_at":"2026-07-04T15:59:47.995729Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:47.995729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9512086","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:59:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GLXgGQ6Dl4N3lRbYPqcR0B3LQbd07M65f3FnoWg3vXRXNHgD4nsYrle81FIKGkuqzoISq68ucHWQiNSywjsQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T13:23:08.496171Z"},"content_sha256":"8e1f5f30980b1909eb5b5d0f50761441d9ef7ac88eeeb0ce8071b7ce7e96ad6c","schema_version":"1.0","event_id":"sha256:8e1f5f30980b1909eb5b5d0f50761441d9ef7ac88eeeb0ce8071b7ce7e96ad6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:X443XKRSEKQYTHAATMHKWZOXFU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact renormalization group study of fermionic theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Enrique Moreno, Jordi Comellas, Yuri Kubyshin","submitted_at":"1995-12-12T13:13:38Z","abstract_excerpt":"The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the two-dimensional chiral Gross-Neveu model. An approximation based on the derivative expansion and a further truncation in the number of fields is used. Two solutions are obtained analytically in the limit $N\\to \\infty $, with N being the number of fermionic species. For finite N some fixed point solutions, with their anomalous dimensions and critical exponents, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512086","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9512086/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:59:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NB2xQaV6qdEwzL2A+b6vfwZcJkjoxb3St9LZSTEx3qsanbTaPGdO1YJu37HowyWN1auMDonLwGE2tFxk3t5qCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T13:23:08.496686Z"},"content_sha256":"0fb94fec5508591ce8914f43890f2a3da4f776e0c62d4798a11a2e4a3ca64c04","schema_version":"1.0","event_id":"sha256:0fb94fec5508591ce8914f43890f2a3da4f776e0c62d4798a11a2e4a3ca64c04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/bundle.json","state_url":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X443XKRSEKQYTHAATMHKWZOXFU/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":"2026-08-10T13:23:08Z","links":{"resolver":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU","bundle":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/bundle.json","state":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X443XKRSEKQYTHAATMHKWZOXFU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:X443XKRSEKQYTHAATMHKWZOXFU","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":"40ee34457d7bc8b8ca0a748f3f74888fbedf9abbc5a25444a2ed7a8e3a1b48c3","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-12-12T13:13:38Z","title_canon_sha256":"950c46af82423ff82cb7df7c3e6aca7718c6906a333483602b39b31153528412"},"schema_version":"1.0","source":{"id":"hep-th/9512086","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9512086","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512086v3","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512086","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"pith_short_12","alias_value":"X443XKRSEKQY","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"pith_short_16","alias_value":"X443XKRSEKQYTHAA","created_at":"2026-07-04T15:59:47Z"},{"alias_kind":"pith_short_8","alias_value":"X443XKRS","created_at":"2026-07-04T15:59:47Z"}],"graph_snapshots":[{"event_id":"sha256:0fb94fec5508591ce8914f43890f2a3da4f776e0c62d4798a11a2e4a3ca64c04","target":"graph","created_at":"2026-07-04T15:59:47Z","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/hep-th/9512086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the two-dimensional chiral Gross-Neveu model. An approximation based on the derivative expansion and a further truncation in the number of fields is used. Two solutions are obtained analytically in the limit $N\\to \\infty $, with N being the number of fermionic species. For finite N some fixed point solutions, with their anomalous dimensions and critical exponents, a","authors_text":"Enrique Moreno, Jordi Comellas, Yuri Kubyshin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-12-12T13:13:38Z","title":"Exact renormalization group study of fermionic theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512086","kind":"arxiv","version":3},"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":"sha256:8e1f5f30980b1909eb5b5d0f50761441d9ef7ac88eeeb0ce8071b7ce7e96ad6c","target":"record","created_at":"2026-07-04T15:59:47Z","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":"40ee34457d7bc8b8ca0a748f3f74888fbedf9abbc5a25444a2ed7a8e3a1b48c3","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-12-12T13:13:38Z","title_canon_sha256":"950c46af82423ff82cb7df7c3e6aca7718c6906a333483602b39b31153528412"},"schema_version":"1.0","source":{"id":"hep-th/9512086","kind":"arxiv","version":3}},"canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","first_computed_at":"2026-07-04T15:59:47.995729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:47.995729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G3fjocaK8Cpu0XcUj3+bPt831sE/nBqlzzjs5RRiKShnSkXgR2KuhOXRP3Q387E6Aaogtz6Q6l8G+QSGiaeMAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:47.996086Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9512086","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e1f5f30980b1909eb5b5d0f50761441d9ef7ac88eeeb0ce8071b7ce7e96ad6c","sha256:0fb94fec5508591ce8914f43890f2a3da4f776e0c62d4798a11a2e4a3ca64c04"],"state_sha256":"77c6805421b5a3b60afc769af88d32e6dd8769af3358e2de56c34a82a236749e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HT7ABrg+oD+4x+lqrVpRuF6GCZXNPN0qK9tVCxx8v+sjurlJ7Xv7Utzi0ucDUpBoOsL2PNNarqpMQwWRFTzdCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T13:23:08.502859Z","bundle_sha256":"4a747731fe224d9a82b0c9307081b190e8493723cf01c03afb8126f41a66b11c"}}