{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FCWL6T2OI6P6LAFE4S7TSRTYAT","short_pith_number":"pith:FCWL6T2O","canonical_record":{"source":{"id":"2007.08125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-07-16T05:55:30Z","cross_cats_sorted":[],"title_canon_sha256":"117d3f7bf16a5b44320fe0a803a4633fe545bf2c80ebbc2a505bd5e0a4dd9953","abstract_canon_sha256":"6d3e650e161c7e955fed1db7c85acce222ec0c62ad7a6b241355e65752f1c3a4"},"schema_version":"1.0"},"canonical_sha256":"28acbf4f4e479fe580a4e4bf39467804c4c6a2fbbad462fdda822a70ed18b86e","source":{"kind":"arxiv","id":"2007.08125","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.08125","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"2007.08125v2","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.08125","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"FCWL6T2OI6P6","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_16","alias_value":"FCWL6T2OI6P6LAFE","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_8","alias_value":"FCWL6T2O","created_at":"2026-07-05T01:54:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FCWL6T2OI6P6LAFE4S7TSRTYAT","target":"record","payload":{"canonical_record":{"source":{"id":"2007.08125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-07-16T05:55:30Z","cross_cats_sorted":[],"title_canon_sha256":"117d3f7bf16a5b44320fe0a803a4633fe545bf2c80ebbc2a505bd5e0a4dd9953","abstract_canon_sha256":"6d3e650e161c7e955fed1db7c85acce222ec0c62ad7a6b241355e65752f1c3a4"},"schema_version":"1.0"},"canonical_sha256":"28acbf4f4e479fe580a4e4bf39467804c4c6a2fbbad462fdda822a70ed18b86e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:54:45.662922Z","signature_b64":"huVRIxpvVAJcnA6s+j9w2SNjWLfLWlcZpDjljojJDYCma35dZr2MWLNs7rKekr5c3HoUmQyrHD7Yq71w4gcbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28acbf4f4e479fe580a4e4bf39467804c4c6a2fbbad462fdda822a70ed18b86e","last_reissued_at":"2026-07-05T01:54:45.662363Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:54:45.662363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.08125","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":"2026-07-05T01:54:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7DzQmKbGoXN8kBXoenmQN+vUYeVrpkpM6asZNf32u/ItmLR5DBv/AV2/74TcWbknUUlIKn4OvNE5Y7vSeSJGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:30:48.758231Z"},"content_sha256":"bf73233f9e44966f55dc464e3dd22c65a081e057a75a696057f466695abfdf4f","schema_version":"1.0","event_id":"sha256:bf73233f9e44966f55dc464e3dd22c65a081e057a75a696057f466695abfdf4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FCWL6T2OI6P6LAFE4S7TSRTYAT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An explicit construction of the dimension-9 operator basis in the standard model effective field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Xiao-Dong Ma, Yi Liao","submitted_at":"2020-07-16T05:55:30Z","abstract_excerpt":"We investigate systematically dimension-9 operators in the standard model effective field theory which contains only standard model fields and respects its gauge symmetry. With the help of the Hilbert series approach to classifying operators according to their lepton and baryon numbers and their field contents, we construct the basis of operators explicitly. We remove redundant operators by employing various kinematic and algebraic relations including integration by parts, equations of motion, Schouten identities, Dirac matrix and Fierz identities, and Bianchi identities. We confirm counting o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.08125","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/2007.08125/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":"2026-07-05T01:54:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K24RM5lgUp7nqxQ73Wj4GLRGRTLL+aTWVx/Lpvv1xHAhD+8c+AWYxyGfC9UJbXzQTbPxxlRqEu0I8auEcTCGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:30:48.759731Z"},"content_sha256":"95b719af90b0bc521f92b1356016e5d803b6c9d187be03bb8add46db0bd60b30","schema_version":"1.0","event_id":"sha256:95b719af90b0bc521f92b1356016e5d803b6c9d187be03bb8add46db0bd60b30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT/bundle.json","state_url":"https://pith.science/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT/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":"2026-08-05T12:30:48Z","links":{"resolver":"https://pith.science/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT","bundle":"https://pith.science/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT/bundle.json","state":"https://pith.science/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCWL6T2OI6P6LAFE4S7TSRTYAT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FCWL6T2OI6P6LAFE4S7TSRTYAT","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":"6d3e650e161c7e955fed1db7c85acce222ec0c62ad7a6b241355e65752f1c3a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-07-16T05:55:30Z","title_canon_sha256":"117d3f7bf16a5b44320fe0a803a4633fe545bf2c80ebbc2a505bd5e0a4dd9953"},"schema_version":"1.0","source":{"id":"2007.08125","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.08125","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"2007.08125v2","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.08125","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"FCWL6T2OI6P6","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_16","alias_value":"FCWL6T2OI6P6LAFE","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_8","alias_value":"FCWL6T2O","created_at":"2026-07-05T01:54:45Z"}],"graph_snapshots":[{"event_id":"sha256:95b719af90b0bc521f92b1356016e5d803b6c9d187be03bb8add46db0bd60b30","target":"graph","created_at":"2026-07-05T01:54:45Z","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/2007.08125/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate systematically dimension-9 operators in the standard model effective field theory which contains only standard model fields and respects its gauge symmetry. With the help of the Hilbert series approach to classifying operators according to their lepton and baryon numbers and their field contents, we construct the basis of operators explicitly. We remove redundant operators by employing various kinematic and algebraic relations including integration by parts, equations of motion, Schouten identities, Dirac matrix and Fierz identities, and Bianchi identities. We confirm counting o","authors_text":"Xiao-Dong Ma, Yi Liao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-07-16T05:55:30Z","title":"An explicit construction of the dimension-9 operator basis in the standard model effective field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.08125","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:bf73233f9e44966f55dc464e3dd22c65a081e057a75a696057f466695abfdf4f","target":"record","created_at":"2026-07-05T01:54:45Z","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":"6d3e650e161c7e955fed1db7c85acce222ec0c62ad7a6b241355e65752f1c3a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-07-16T05:55:30Z","title_canon_sha256":"117d3f7bf16a5b44320fe0a803a4633fe545bf2c80ebbc2a505bd5e0a4dd9953"},"schema_version":"1.0","source":{"id":"2007.08125","kind":"arxiv","version":2}},"canonical_sha256":"28acbf4f4e479fe580a4e4bf39467804c4c6a2fbbad462fdda822a70ed18b86e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28acbf4f4e479fe580a4e4bf39467804c4c6a2fbbad462fdda822a70ed18b86e","first_computed_at":"2026-07-05T01:54:45.662363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:54:45.662363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"huVRIxpvVAJcnA6s+j9w2SNjWLfLWlcZpDjljojJDYCma35dZr2MWLNs7rKekr5c3HoUmQyrHD7Yq71w4gcbAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:54:45.662922Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.08125","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf73233f9e44966f55dc464e3dd22c65a081e057a75a696057f466695abfdf4f","sha256:95b719af90b0bc521f92b1356016e5d803b6c9d187be03bb8add46db0bd60b30"],"state_sha256":"8a7bd279191994027c402581a0ddb04f6d586342928093e564081e3e2a333cc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+DM66w/2B+L7smh2nJ0ORz2iBktbwgivSzU4+LMGCAZBC9crMHJDPb7yhm/El1cBcJKAJVEvTCB+xdl00pxPCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T12:30:48.775456Z","bundle_sha256":"e5f59f0e9149ac7bfa3b8b07491a0a58ac79a16d85d6331fd1b82dfcba2e7d6b"}}