{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:EU7FEFWRO47UFBRMPK36T6SO4V","short_pith_number":"pith:EU7FEFWR","canonical_record":{"source":{"id":"1001.1241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-01-08T11:03:27Z","cross_cats_sorted":[],"title_canon_sha256":"c2f7ee3a4361591ba9f7136c30254598beff67f37ea9a7761e844825100c7752","abstract_canon_sha256":"205f6b5654ce1b28c3052efe526bb1e912c1eb4430ef5c02261b239a84800387"},"schema_version":"1.0"},"canonical_sha256":"253e5216d1773f42862c7ab7e9fa4ee5563e82c54639853e68f31f819b141ca2","source":{"kind":"arxiv","id":"1001.1241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1241","created_at":"2026-05-18T04:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1241v1","created_at":"2026-05-18T04:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1241","created_at":"2026-05-18T04:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"EU7FEFWRO47U","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EU7FEFWRO47UFBRM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EU7FEFWR","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:EU7FEFWRO47UFBRMPK36T6SO4V","target":"record","payload":{"canonical_record":{"source":{"id":"1001.1241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-01-08T11:03:27Z","cross_cats_sorted":[],"title_canon_sha256":"c2f7ee3a4361591ba9f7136c30254598beff67f37ea9a7761e844825100c7752","abstract_canon_sha256":"205f6b5654ce1b28c3052efe526bb1e912c1eb4430ef5c02261b239a84800387"},"schema_version":"1.0"},"canonical_sha256":"253e5216d1773f42862c7ab7e9fa4ee5563e82c54639853e68f31f819b141ca2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:10.274211Z","signature_b64":"YwY4EIbo9hvoYnduSXeZWdahBPMjVMGXwTEu7504op8kWz1I9lLIwwM0YwZza/19tD01Yc5jeczdAs4dGC2XCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"253e5216d1773f42862c7ab7e9fa4ee5563e82c54639853e68f31f819b141ca2","last_reissued_at":"2026-05-18T04:37:10.273539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:10.273539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.1241","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":"2026-05-18T04:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lnLymX7yXoiVIo3wDvCHSYQIZMdEw98xnkLv3VejxRF1gwG3U6cly0FCHY7F0aBFXUXNVocSUHVnUwlomBI/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:12:19.294965Z"},"content_sha256":"e76493307392a30c65d8d1d123357bb5dc5199a3e236c0b8c8e9d5bf70e36bf4","schema_version":"1.0","event_id":"sha256:e76493307392a30c65d8d1d123357bb5dc5199a3e236c0b8c8e9d5bf70e36bf4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:EU7FEFWRO47UFBRMPK36T6SO4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"O(a^2) corrections to 1-loop matrix elements of 4-fermion operators with improved fermion/gluon actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Apostolos Skouroupathis, Fotos Stylianou, Haralambos Panagopoulos, Martha Constantinou, Vittorio Lubicz","submitted_at":"2010-01-08T11:03:27Z","abstract_excerpt":"We calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. The novel aspect of our calculations is that they are carried out to second order in the lattice spacing, O(a^2). We employ the Wilson/clover action for massless fermions (also applicable for the twisted mass action in the chiral limit) and the Symanzik improved action for gluons. Our calculations have been carried out in a general covariant gauge. Results have been obtained for several popular choices of values for the Symanzik coefficients (Plaquette, Tree-level Syma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1241","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":"2026-05-18T04:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0lPkL1Hnr3YRknoAOSL+GVFU2BB4XPRWMxwFoWVHNlvmirZSNPRuFrxwGGDd3XIObVBJyK/6dPH/2Q6XJFFwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:12:19.295404Z"},"content_sha256":"01d871a84ac006f5c071a1fc1bdb86b00144409d76473b88d6b93d20578a8320","schema_version":"1.0","event_id":"sha256:01d871a84ac006f5c071a1fc1bdb86b00144409d76473b88d6b93d20578a8320"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EU7FEFWRO47UFBRMPK36T6SO4V/bundle.json","state_url":"https://pith.science/pith/EU7FEFWRO47UFBRMPK36T6SO4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EU7FEFWRO47UFBRMPK36T6SO4V/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":"2026-05-30T13:12:19Z","links":{"resolver":"https://pith.science/pith/EU7FEFWRO47UFBRMPK36T6SO4V","bundle":"https://pith.science/pith/EU7FEFWRO47UFBRMPK36T6SO4V/bundle.json","state":"https://pith.science/pith/EU7FEFWRO47UFBRMPK36T6SO4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EU7FEFWRO47UFBRMPK36T6SO4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EU7FEFWRO47UFBRMPK36T6SO4V","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":"205f6b5654ce1b28c3052efe526bb1e912c1eb4430ef5c02261b239a84800387","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-01-08T11:03:27Z","title_canon_sha256":"c2f7ee3a4361591ba9f7136c30254598beff67f37ea9a7761e844825100c7752"},"schema_version":"1.0","source":{"id":"1001.1241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1241","created_at":"2026-05-18T04:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1241v1","created_at":"2026-05-18T04:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1241","created_at":"2026-05-18T04:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"EU7FEFWRO47U","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EU7FEFWRO47UFBRM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EU7FEFWR","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:01d871a84ac006f5c071a1fc1bdb86b00144409d76473b88d6b93d20578a8320","target":"graph","created_at":"2026-05-18T04:37:10Z","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 calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. The novel aspect of our calculations is that they are carried out to second order in the lattice spacing, O(a^2). We employ the Wilson/clover action for massless fermions (also applicable for the twisted mass action in the chiral limit) and the Symanzik improved action for gluons. Our calculations have been carried out in a general covariant gauge. Results have been obtained for several popular choices of values for the Symanzik coefficients (Plaquette, Tree-level Syma","authors_text":"Apostolos Skouroupathis, Fotos Stylianou, Haralambos Panagopoulos, Martha Constantinou, Vittorio Lubicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-01-08T11:03:27Z","title":"O(a^2) corrections to 1-loop matrix elements of 4-fermion operators with improved fermion/gluon actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1241","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:e76493307392a30c65d8d1d123357bb5dc5199a3e236c0b8c8e9d5bf70e36bf4","target":"record","created_at":"2026-05-18T04:37:10Z","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":"205f6b5654ce1b28c3052efe526bb1e912c1eb4430ef5c02261b239a84800387","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-01-08T11:03:27Z","title_canon_sha256":"c2f7ee3a4361591ba9f7136c30254598beff67f37ea9a7761e844825100c7752"},"schema_version":"1.0","source":{"id":"1001.1241","kind":"arxiv","version":1}},"canonical_sha256":"253e5216d1773f42862c7ab7e9fa4ee5563e82c54639853e68f31f819b141ca2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"253e5216d1773f42862c7ab7e9fa4ee5563e82c54639853e68f31f819b141ca2","first_computed_at":"2026-05-18T04:37:10.273539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:10.273539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YwY4EIbo9hvoYnduSXeZWdahBPMjVMGXwTEu7504op8kWz1I9lLIwwM0YwZza/19tD01Yc5jeczdAs4dGC2XCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:10.274211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.1241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e76493307392a30c65d8d1d123357bb5dc5199a3e236c0b8c8e9d5bf70e36bf4","sha256:01d871a84ac006f5c071a1fc1bdb86b00144409d76473b88d6b93d20578a8320"],"state_sha256":"f9282e896ddbf1413aacd2507d2201e6c9bda225da42a2567413c033789056c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EKhi7QI5Zk8sONDT6cZot+BvWNoKWGRljP3xjx9Kjf2rQTvb8a+g9NUxy4Ue3hxZjAI4bYidhmXoBo+7MjneAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:12:19.297962Z","bundle_sha256":"12f7078f319a904e2f9a78630058a1d5f744bf199fc7d727190c2bc1e6667c0a"}}