{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:M3IMMDNMJM3NSP6OSSH4VZTOIL","short_pith_number":"pith:M3IMMDNM","schema_version":"1.0","canonical_sha256":"66d0c60dac4b36d93fce948fcae66e42d4b4722e8a8e42d3fc8cd860b51bb28c","source":{"kind":"arxiv","id":"2206.13524","version":2},"attestation_state":"computed","paper":{"title":"Spinning Sum Rules for the Dimension-Six SMEFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Grant N. Remmen, Nicholas L. Rodd","submitted_at":"2022-06-27T18:00:00Z","abstract_excerpt":"We construct new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These spinning sum rules encode information about the spin of UV states: the sign of the IR Wilson coefficients carries a memory of the dominant spin in the UV completion. The sum rules are constructed for operators containing scalars and fermions, although we consider the dimension-six SMEFT exhaustively, outlining why equivalent relations do not hold for the remaining operators. As with any dimension-six dispersive argument, our conclusions are contingent on the absence of potent"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2206.13524","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-27T18:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3ac59c25192e276eb89e4433a3d15d491fb22d3b554d503774de9328cf4d7cd5","abstract_canon_sha256":"ac85e00c493572903c79046fc6303fcbdb4e2cca61e454f6a8d41d2b830aa7cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:55:17.851431Z","signature_b64":"FPQIm6nRkChiRJNOR269hFlW2SryfNoj1e+nygCsw/DH8aNXT3CqMW8FxbHMwk/fHyfoSIiA8P6wuCiqVuPfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66d0c60dac4b36d93fce948fcae66e42d4b4722e8a8e42d3fc8cd860b51bb28c","last_reissued_at":"2026-07-05T04:55:17.850963Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:55:17.850963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spinning Sum Rules for the Dimension-Six SMEFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Grant N. Remmen, Nicholas L. Rodd","submitted_at":"2022-06-27T18:00:00Z","abstract_excerpt":"We construct new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These spinning sum rules encode information about the spin of UV states: the sign of the IR Wilson coefficients carries a memory of the dominant spin in the UV completion. The sum rules are constructed for operators containing scalars and fermions, although we consider the dimension-six SMEFT exhaustively, outlining why equivalent relations do not hold for the remaining operators. As with any dimension-six dispersive argument, our conclusions are contingent on the absence of potent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.13524","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/2206.13524/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2206.13524","created_at":"2026-07-05T04:55:17.851019+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.13524v2","created_at":"2026-07-05T04:55:17.851019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.13524","created_at":"2026-07-05T04:55:17.851019+00:00"},{"alias_kind":"pith_short_12","alias_value":"M3IMMDNMJM3N","created_at":"2026-07-05T04:55:17.851019+00:00"},{"alias_kind":"pith_short_16","alias_value":"M3IMMDNMJM3NSP6O","created_at":"2026-07-05T04:55:17.851019+00:00"},{"alias_kind":"pith_short_8","alias_value":"M3IMMDNM","created_at":"2026-07-05T04:55:17.851019+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.19432","citing_title":"Partial-wave unitarity and long-range interactions","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2402.16956","citing_title":"Positivity in Amplitudes and Quantum Entanglement","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21582","citing_title":"Multipositivity Constrains the Chiral Lagrangian","ref_index":77,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20319","citing_title":"The Equivalence Principle at High Energies Completes the Spectrum","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2604.00107","citing_title":"Full positivity bounds for anomalous quartic gauge couplings in SMEFT","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL","json":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL.json","graph_json":"https://pith.science/api/pith-number/M3IMMDNMJM3NSP6OSSH4VZTOIL/graph.json","events_json":"https://pith.science/api/pith-number/M3IMMDNMJM3NSP6OSSH4VZTOIL/events.json","paper":"https://pith.science/paper/M3IMMDNM"},"agent_actions":{"view_html":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL","download_json":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL.json","view_paper":"https://pith.science/paper/M3IMMDNM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.13524&json=true","fetch_graph":"https://pith.science/api/pith-number/M3IMMDNMJM3NSP6OSSH4VZTOIL/graph.json","fetch_events":"https://pith.science/api/pith-number/M3IMMDNMJM3NSP6OSSH4VZTOIL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL/action/storage_attestation","attest_author":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL/action/author_attestation","sign_citation":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL/action/citation_signature","submit_replication":"https://pith.science/pith/M3IMMDNMJM3NSP6OSSH4VZTOIL/action/replication_record"}},"created_at":"2026-07-05T04:55:17.851019+00:00","updated_at":"2026-07-05T04:55:17.851019+00:00"}