{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JIGQXPWT6AQXB7R3JFFGYYHH7K","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":"bc50a98c49d2acc262a6ae58ddffd83c8d48a2136c7722b96208e45f466122f0","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-12-08T16:53:21Z","title_canon_sha256":"7b07a9da020a636bb31ec057d9df1d573ed805c2adae22a5c952bcbb9be0f2c3"},"schema_version":"1.0","source":{"id":"2212.04395","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.04395","created_at":"2026-07-05T06:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"2212.04395v2","created_at":"2026-07-05T06:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.04395","created_at":"2026-07-05T06:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"JIGQXPWT6AQX","created_at":"2026-07-05T06:35:25Z"},{"alias_kind":"pith_short_16","alias_value":"JIGQXPWT6AQXB7R3","created_at":"2026-07-05T06:35:25Z"},{"alias_kind":"pith_short_8","alias_value":"JIGQXPWT","created_at":"2026-07-05T06:35:25Z"}],"graph_snapshots":[{"event_id":"sha256:95eaeb99498b5740030e422f7811bd30518c39329b3b6e71cb0eb133606b4a66","target":"graph","created_at":"2026-07-05T06:35:25Z","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/2212.04395/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present DECO (\"Discrete and Efficient Counting of Operators\"), an implementation of the Hilbert Series to enumerate subleading operator bases for SMEFT-like EFTs with symmetry groups as typically found in flavour and BSM physics. DECO can accommodate EFTs with arbitrary numbers and combinations of the SM gauge groups, as well as the discrete groups S4, A4, and Zn, and U(1) groups with residual global charge (and these groups' most important representations). The program is highly modular and can easily be extended to additional groups and/or representations. We demonstrate the design cases ","authors_text":"Coenraad Marinissen, Rudi Rahn, Simon Cal\\`o","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-12-08T16:53:21Z","title":"Discrete symmetries and Efficient Counting of Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.04395","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":"sha256:0027dcaed46ce5d1648d92a9d95dab178e15266cc5a4c9ac989deae6d85642fb","target":"record","created_at":"2026-07-05T06:35:25Z","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":"bc50a98c49d2acc262a6ae58ddffd83c8d48a2136c7722b96208e45f466122f0","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-12-08T16:53:21Z","title_canon_sha256":"7b07a9da020a636bb31ec057d9df1d573ed805c2adae22a5c952bcbb9be0f2c3"},"schema_version":"1.0","source":{"id":"2212.04395","kind":"arxiv","version":2}},"canonical_sha256":"4a0d0bbed3f02170fe3b494a6c60e7faac1cdba604d219498c28359d1c918a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a0d0bbed3f02170fe3b494a6c60e7faac1cdba604d219498c28359d1c918a42","first_computed_at":"2026-07-05T06:35:25.083590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:25.083590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e9Zm3la8eqeI05M+lZ+BrZQecqf8osyAkDs1uNY46WIQdxHFwgnyi7oSJi4xArWjEbJ1A/78gLVCsF2ho8IzCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:25.084059Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.04395","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0027dcaed46ce5d1648d92a9d95dab178e15266cc5a4c9ac989deae6d85642fb","sha256:95eaeb99498b5740030e422f7811bd30518c39329b3b6e71cb0eb133606b4a66"],"state_sha256":"93701720f4713675ed8a3df606d51650bf215c42bbd1ada3474c2d70371be1be"}