{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:SCTTE2V475LU4FET3UCZ56SRTC","short_pith_number":"pith:SCTTE2V4","canonical_record":{"source":{"id":"0707.1939","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2007-07-13T15:30:40Z","cross_cats_sorted":[],"title_canon_sha256":"4da7f3ab7b0d7b29443a936a9c7149a9fecf8e19496357fa02cf7acd5019bd04","abstract_canon_sha256":"fd628dc34f4a2a4796f4868224e85a49f89f92d57cc0d3e9153c87cc652304f8"},"schema_version":"1.0"},"canonical_sha256":"90a7326abcff574e1493dd059efa5198b4db3d985df09e8a6b57e17a4db0f0e9","source":{"kind":"arxiv","id":"0707.1939","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.1939","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"0707.1939v1","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.1939","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"SCTTE2V475LU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"SCTTE2V475LU4FET","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"SCTTE2V4","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:SCTTE2V475LU4FET3UCZ56SRTC","target":"record","payload":{"canonical_record":{"source":{"id":"0707.1939","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2007-07-13T15:30:40Z","cross_cats_sorted":[],"title_canon_sha256":"4da7f3ab7b0d7b29443a936a9c7149a9fecf8e19496357fa02cf7acd5019bd04","abstract_canon_sha256":"fd628dc34f4a2a4796f4868224e85a49f89f92d57cc0d3e9153c87cc652304f8"},"schema_version":"1.0"},"canonical_sha256":"90a7326abcff574e1493dd059efa5198b4db3d985df09e8a6b57e17a4db0f0e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:15.600910Z","signature_b64":"r9Xq/ogGGAfGYH6SSbP87itnJM+Vpe4QJcE9XZh1llvFRtz0FsVUIqINhBomLS2qHaSA6Ypzkct049/8VKi6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90a7326abcff574e1493dd059efa5198b4db3d985df09e8a6b57e17a4db0f0e9","last_reissued_at":"2026-05-18T04:09:15.600364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:15.600364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.1939","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":"2026-05-18T04:09:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dj3zVMoEVnVgxXhiD+mnojtaafKqzno1E0ffHT+qUhpjTwtZssZ2M9H2JA3rw5hW4OvfPnnrZarxkQANGkfdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T02:32:02.690824Z"},"content_sha256":"3e630e4304c00a2e6537eb80841ff7932af67c10cdfe6d11cac9600061c80b6e","schema_version":"1.0","event_id":"sha256:3e630e4304c00a2e6537eb80841ff7932af67c10cdfe6d11cac9600061c80b6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:SCTTE2V475LU4FET3UCZ56SRTC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Schroedinger functional for Gross-Neveu models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Bjorn Leder","submitted_at":"2007-07-13T15:30:40Z","abstract_excerpt":"Gross-Neveu type models with a finite number of fermion flavours are studied on a two-dimensional Euclidean space-time lattice. The models are asymptotically free and are invariant under a chiral symmetry. These similarities to QCD make them perfect benchmark systems for fermion actions used in large scale lattice QCD computations. The Schroedinger functional for the Gross-Neveu models is defined for both, Wilson and Ginsparg-Wilson fermions, and shown to be renormalisable in 1-loop lattice perturbation theory. In two dimensions four fermion interactions of the Gross-Neveu models have dimensio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.1939","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":"2026-05-18T04:09:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sLgjRV9YNB/n1Cwa97VbybI6Th6nw4mJ7QpFGdHWRrrr/7jM8TBMbuF6g3emkDKCfVs2CZAV1qKQ7vdGKjSzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T02:32:02.691456Z"},"content_sha256":"71b9bc5737d2cff3ad971a10c57bece78bfef8d4018a9992a9a80723ed94cd4d","schema_version":"1.0","event_id":"sha256:71b9bc5737d2cff3ad971a10c57bece78bfef8d4018a9992a9a80723ed94cd4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCTTE2V475LU4FET3UCZ56SRTC/bundle.json","state_url":"https://pith.science/pith/SCTTE2V475LU4FET3UCZ56SRTC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCTTE2V475LU4FET3UCZ56SRTC/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":"2026-06-09T02:32:02Z","links":{"resolver":"https://pith.science/pith/SCTTE2V475LU4FET3UCZ56SRTC","bundle":"https://pith.science/pith/SCTTE2V475LU4FET3UCZ56SRTC/bundle.json","state":"https://pith.science/pith/SCTTE2V475LU4FET3UCZ56SRTC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCTTE2V475LU4FET3UCZ56SRTC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:SCTTE2V475LU4FET3UCZ56SRTC","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":"fd628dc34f4a2a4796f4868224e85a49f89f92d57cc0d3e9153c87cc652304f8","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2007-07-13T15:30:40Z","title_canon_sha256":"4da7f3ab7b0d7b29443a936a9c7149a9fecf8e19496357fa02cf7acd5019bd04"},"schema_version":"1.0","source":{"id":"0707.1939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.1939","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"0707.1939v1","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.1939","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"SCTTE2V475LU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"SCTTE2V475LU4FET","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"SCTTE2V4","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:71b9bc5737d2cff3ad971a10c57bece78bfef8d4018a9992a9a80723ed94cd4d","target":"graph","created_at":"2026-05-18T04:09:15Z","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":"Gross-Neveu type models with a finite number of fermion flavours are studied on a two-dimensional Euclidean space-time lattice. The models are asymptotically free and are invariant under a chiral symmetry. These similarities to QCD make them perfect benchmark systems for fermion actions used in large scale lattice QCD computations. The Schroedinger functional for the Gross-Neveu models is defined for both, Wilson and Ginsparg-Wilson fermions, and shown to be renormalisable in 1-loop lattice perturbation theory. In two dimensions four fermion interactions of the Gross-Neveu models have dimensio","authors_text":"Bjorn Leder","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2007-07-13T15:30:40Z","title":"The Schroedinger functional for Gross-Neveu models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.1939","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":"sha256:3e630e4304c00a2e6537eb80841ff7932af67c10cdfe6d11cac9600061c80b6e","target":"record","created_at":"2026-05-18T04:09:15Z","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":"fd628dc34f4a2a4796f4868224e85a49f89f92d57cc0d3e9153c87cc652304f8","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2007-07-13T15:30:40Z","title_canon_sha256":"4da7f3ab7b0d7b29443a936a9c7149a9fecf8e19496357fa02cf7acd5019bd04"},"schema_version":"1.0","source":{"id":"0707.1939","kind":"arxiv","version":1}},"canonical_sha256":"90a7326abcff574e1493dd059efa5198b4db3d985df09e8a6b57e17a4db0f0e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90a7326abcff574e1493dd059efa5198b4db3d985df09e8a6b57e17a4db0f0e9","first_computed_at":"2026-05-18T04:09:15.600364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:15.600364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r9Xq/ogGGAfGYH6SSbP87itnJM+Vpe4QJcE9XZh1llvFRtz0FsVUIqINhBomLS2qHaSA6Ypzkct049/8VKi6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:15.600910Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.1939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e630e4304c00a2e6537eb80841ff7932af67c10cdfe6d11cac9600061c80b6e","sha256:71b9bc5737d2cff3ad971a10c57bece78bfef8d4018a9992a9a80723ed94cd4d"],"state_sha256":"e38a213d184f16d7a32a3f0d9ba936120781ac7fdce2373bacda3472ebe65276"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wMuUJH/afwZ0g8JEgriSyRT68EtUrk+0SzqaAPU8VWcYMZ5qeU1dXStmZC1FYy9X8GGQfNkHx0109CSav0/ACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T02:32:02.699587Z","bundle_sha256":"84fad09a3bf763857833806817b756a3cdb720f5f095f7e3eab4d705b74292bd"}}