{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:H7WH5OB4SSSZR4M6EWXHR4NZXJ","short_pith_number":"pith:H7WH5OB4","canonical_record":{"source":{"id":"2306.03008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-05T16:19:12Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"6340d2a9eb7985c7be246cc2449a37542d209acd6149ec308048318e44eeb2ae","abstract_canon_sha256":"51b829125f4d8c2a819836d36152b754b946379f432edcf612bb0c6215cad8e3"},"schema_version":"1.0"},"canonical_sha256":"3fec7eb83c94a598f19e25ae78f1b9ba40683cfc9916390c67a35a9021ce5f57","source":{"kind":"arxiv","id":"2306.03008","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.03008","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"2306.03008v2","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.03008","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"H7WH5OB4SSSZ","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"pith_short_16","alias_value":"H7WH5OB4SSSZR4M6","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"pith_short_8","alias_value":"H7WH5OB4","created_at":"2026-07-05T07:01:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:H7WH5OB4SSSZR4M6EWXHR4NZXJ","target":"record","payload":{"canonical_record":{"source":{"id":"2306.03008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-05T16:19:12Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"6340d2a9eb7985c7be246cc2449a37542d209acd6149ec308048318e44eeb2ae","abstract_canon_sha256":"51b829125f4d8c2a819836d36152b754b946379f432edcf612bb0c6215cad8e3"},"schema_version":"1.0"},"canonical_sha256":"3fec7eb83c94a598f19e25ae78f1b9ba40683cfc9916390c67a35a9021ce5f57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:01:25.068140Z","signature_b64":"R+BTwKgHKM1XYrxg7HX7D6F5mn4bv4fSKsD8tAVAVVHDPUwl3pseI6CbCOu3vwBHDBc+4TAx4hwuXw0MdDAvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fec7eb83c94a598f19e25ae78f1b9ba40683cfc9916390c67a35a9021ce5f57","last_reissued_at":"2026-07-05T07:01:25.067674Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:01:25.067674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.03008","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":"2026-07-05T07:01:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jNhmNCft6oF9KZkSHVqN/QdHzw6TNnqoctA1/Kx9G74tpl0itIEt7yL8vnQzRYUyGzL5BHTAmvWB+D7jOBHeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T15:03:02.104536Z"},"content_sha256":"0ac2e11290b2d2bb981b5323d0f8c7b4ffda8c5703e02af100a04ce7d7ed372b","schema_version":"1.0","event_id":"sha256:0ac2e11290b2d2bb981b5323d0f8c7b4ffda8c5703e02af100a04ce7d7ed372b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:H7WH5OB4SSSZR4M6EWXHR4NZXJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization Group Equations for the SMEFT Operators up to Dimension Seven","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Di Zhang","submitted_at":"2023-06-05T16:19:12Z","abstract_excerpt":"In this paper, we propose a Green's basis and also a new physical basis for dimension-seven (dim-7) operators, which are suitable for the matching of ultraviolet models onto the Standard Model effective field theory (SMEFT) and the deviation of renormalization group equations (RGEs) for dim-7 operators in the SMEFT. The reduction relations to convert operators in the Green's basis to those in the physical basis are achieved as well, where some redundant dim-6 operators in the Green's basis are involved if the dim-5 operator exists. Working in these two bases for dim-7 operators and with the he"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.03008","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.03008/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":"2026-07-05T07:01:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bTPO//DCMwcgd3WYHDkTY2naNJ7RaZmYRoYMnmvBOamtzE/yk4WN3NY38K4Y2qUDMln6rpc8Wphkual7wffqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T15:03:02.105492Z"},"content_sha256":"6fe03545958e37c800a6a6e81e9281b8e436a895c1702caa1740c110149cd482","schema_version":"1.0","event_id":"sha256:6fe03545958e37c800a6a6e81e9281b8e436a895c1702caa1740c110149cd482"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ/bundle.json","state_url":"https://pith.science/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ/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":"2026-08-11T15:03:02Z","links":{"resolver":"https://pith.science/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ","bundle":"https://pith.science/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ/bundle.json","state":"https://pith.science/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7WH5OB4SSSZR4M6EWXHR4NZXJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:H7WH5OB4SSSZR4M6EWXHR4NZXJ","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":"51b829125f4d8c2a819836d36152b754b946379f432edcf612bb0c6215cad8e3","cross_cats_sorted":["hep-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-05T16:19:12Z","title_canon_sha256":"6340d2a9eb7985c7be246cc2449a37542d209acd6149ec308048318e44eeb2ae"},"schema_version":"1.0","source":{"id":"2306.03008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.03008","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"2306.03008v2","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.03008","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"H7WH5OB4SSSZ","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"pith_short_16","alias_value":"H7WH5OB4SSSZR4M6","created_at":"2026-07-05T07:01:25Z"},{"alias_kind":"pith_short_8","alias_value":"H7WH5OB4","created_at":"2026-07-05T07:01:25Z"}],"graph_snapshots":[{"event_id":"sha256:6fe03545958e37c800a6a6e81e9281b8e436a895c1702caa1740c110149cd482","target":"graph","created_at":"2026-07-05T07:01:25Z","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/2306.03008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a Green's basis and also a new physical basis for dimension-seven (dim-7) operators, which are suitable for the matching of ultraviolet models onto the Standard Model effective field theory (SMEFT) and the deviation of renormalization group equations (RGEs) for dim-7 operators in the SMEFT. The reduction relations to convert operators in the Green's basis to those in the physical basis are achieved as well, where some redundant dim-6 operators in the Green's basis are involved if the dim-5 operator exists. Working in these two bases for dim-7 operators and with the he","authors_text":"Di Zhang","cross_cats":["hep-ex"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-05T16:19:12Z","title":"Renormalization Group Equations for the SMEFT Operators up to Dimension Seven"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.03008","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":"sha256:0ac2e11290b2d2bb981b5323d0f8c7b4ffda8c5703e02af100a04ce7d7ed372b","target":"record","created_at":"2026-07-05T07:01:25Z","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":"51b829125f4d8c2a819836d36152b754b946379f432edcf612bb0c6215cad8e3","cross_cats_sorted":["hep-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-05T16:19:12Z","title_canon_sha256":"6340d2a9eb7985c7be246cc2449a37542d209acd6149ec308048318e44eeb2ae"},"schema_version":"1.0","source":{"id":"2306.03008","kind":"arxiv","version":2}},"canonical_sha256":"3fec7eb83c94a598f19e25ae78f1b9ba40683cfc9916390c67a35a9021ce5f57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fec7eb83c94a598f19e25ae78f1b9ba40683cfc9916390c67a35a9021ce5f57","first_computed_at":"2026-07-05T07:01:25.067674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:01:25.067674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R+BTwKgHKM1XYrxg7HX7D6F5mn4bv4fSKsD8tAVAVVHDPUwl3pseI6CbCOu3vwBHDBc+4TAx4hwuXw0MdDAvAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:01:25.068140Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.03008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ac2e11290b2d2bb981b5323d0f8c7b4ffda8c5703e02af100a04ce7d7ed372b","sha256:6fe03545958e37c800a6a6e81e9281b8e436a895c1702caa1740c110149cd482"],"state_sha256":"efe0eb71dccb99442d9fd3a5565ad6916f45e411fc4ec90d097dfc3712615319"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DU91h2JSdY6doGwonJYgjMCxCgAMpVWh/hVqoFPAKrTdzd4YoeBe5/hGhuaa3Nf9QgMNj0wV9cGC2BNPuyK6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T15:03:02.112147Z","bundle_sha256":"4cfc43bbafe8d7c4c081f8cb0bad48808b80a32ff12b23a459875410caac3d11"}}