{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WYHU73ONFLLVNHYKWHRURBMHZ3","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":"152d34bad7151ddc66a7eeed28487c6faccb7f35039396c3eeaf08b000284ac2","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-20T19:00:01Z","title_canon_sha256":"1c2774dbc662adf9fedcb97adbaa2604fc6d78b3eae5a7576456d44bf1bbae24"},"schema_version":"1.0","source":{"id":"2412.16285","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16285","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16285v1","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16285","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"WYHU73ONFLLV","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_16","alias_value":"WYHU73ONFLLVNHYK","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_8","alias_value":"WYHU73ON","created_at":"2026-07-05T09:52:44Z"}],"graph_snapshots":[{"event_id":"sha256:7e21d5d930f0d355e6082bbcd1bd60cd2954fabc3ed7789fc42424e38df15c21","target":"graph","created_at":"2026-07-05T09:52:44Z","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/2412.16285/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a saturation theorem for general Effective Field Theories (EFTs) constructed using spurion analysis. Let $S$ be a set of spurion fields introduced to organize the breaking of a global symmetry $G_f$, and $H_S$ be the subgroup of $G_f$ that remains unbroken under a generic vacuum expectation value $\\langle S\\rangle$; we show that the EFT Lagrangian constructed from the spurion analysis $saturates$ the EFT Lagrangian without the spurions but restricted to $H_S$ invariance, provided that arbitrary powers of the spurion fields are allowed. As examples, we study several implementations of","authors_text":"Benjam\\'in Grinstein, Carlos Mir\\'o, Pablo Qu\\'ilez, Xiaochuan Lu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-20T19:00:01Z","title":"Most general EFTs from spurion analysis: Hilbert series and Minimal Lepton Flavor Violation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16285","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:e5236a03985fdda1d846d5757588f384c363eaaa217836546fb2638d03984df4","target":"record","created_at":"2026-07-05T09:52:44Z","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":"152d34bad7151ddc66a7eeed28487c6faccb7f35039396c3eeaf08b000284ac2","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-20T19:00:01Z","title_canon_sha256":"1c2774dbc662adf9fedcb97adbaa2604fc6d78b3eae5a7576456d44bf1bbae24"},"schema_version":"1.0","source":{"id":"2412.16285","kind":"arxiv","version":1}},"canonical_sha256":"b60f4fedcd2ad7569f0ab1e3488587ced3627b9ed650fa60bd76b00470066817","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b60f4fedcd2ad7569f0ab1e3488587ced3627b9ed650fa60bd76b00470066817","first_computed_at":"2026-07-05T09:52:44.253291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:52:44.253291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rS3BsvE+YZZJsFT9VKHnlL20jOrUlc5iutEkRlZZz7DnN/xutf5oDFsKU0Sm8/MAPB/hJFx9AIBAOrzNPq1TAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:52:44.253770Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.16285","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5236a03985fdda1d846d5757588f384c363eaaa217836546fb2638d03984df4","sha256:7e21d5d930f0d355e6082bbcd1bd60cd2954fabc3ed7789fc42424e38df15c21"],"state_sha256":"916cb0afb76e00709f7dcefdf3a175541cd48413433e47cfd50c9f9d43843237"}