{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:XQOIQ3IPVFKHSM5Q4UE6AAXUET","short_pith_number":"pith:XQOIQ3IP","schema_version":"1.0","canonical_sha256":"bc1c886d0fa9547933b0e509e002f424e7938e49e89d7e723bddade51ea37d94","source":{"kind":"arxiv","id":"2311.13630","version":2},"attestation_state":"computed","paper":{"title":"Functional Matching and Renormalization Group Equations at Two-Loop Order","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ajdin Palavri\\'c, Anders Eller Thomsen, Javier Fuentes-Mart\\'in","submitted_at":"2023-11-22T19:00:00Z","abstract_excerpt":"We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from the (double-)hard region of the loop integrals and present a master formula for matching, applicable to both diagrammatic and functional approaches. We further employ functional methods to determine compact expressions for the effective Lagrangian that do not rely on any previous knowledge of its structure or symmetries. The same methods are also applicable t"},"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":"2311.13630","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-11-22T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"c87ad835d7f482c0acbc537193d6608781999fad0f5c29f08ac9d3c0ba8dfa6b","abstract_canon_sha256":"2ead423e0d05f0b46a77eb40cc1f746bf4926998380eddc79e57b29740e16666"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:56:56.735275Z","signature_b64":"aJ9bJxmvwsSrsESV8CxZ2l1ZGofDiXMpetXNJU5RIQ+vdXH1BGJeu1ECyN6QKmtMWF5o5MpKRu2wuV0yWqTbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc1c886d0fa9547933b0e509e002f424e7938e49e89d7e723bddade51ea37d94","last_reissued_at":"2026-07-05T07:56:56.734848Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:56:56.734848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional Matching and Renormalization Group Equations at Two-Loop Order","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ajdin Palavri\\'c, Anders Eller Thomsen, Javier Fuentes-Mart\\'in","submitted_at":"2023-11-22T19:00:00Z","abstract_excerpt":"We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from the (double-)hard region of the loop integrals and present a master formula for matching, applicable to both diagrammatic and functional approaches. We further employ functional methods to determine compact expressions for the effective Lagrangian that do not rely on any previous knowledge of its structure or symmetries. The same methods are also applicable t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.13630","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/2311.13630/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":"2311.13630","created_at":"2026-07-05T07:56:56.734910+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.13630v2","created_at":"2026-07-05T07:56:56.734910+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.13630","created_at":"2026-07-05T07:56:56.734910+00:00"},{"alias_kind":"pith_short_12","alias_value":"XQOIQ3IPVFKH","created_at":"2026-07-05T07:56:56.734910+00:00"},{"alias_kind":"pith_short_16","alias_value":"XQOIQ3IPVFKHSM5Q","created_at":"2026-07-05T07:56:56.734910+00:00"},{"alias_kind":"pith_short_8","alias_value":"XQOIQ3IP","created_at":"2026-07-05T07:56:56.734910+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.21972","citing_title":"Matchotter: An Automated Tool for Dimensional Reduction at Finite Temperature","ref_index":70,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET","json":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET.json","graph_json":"https://pith.science/api/pith-number/XQOIQ3IPVFKHSM5Q4UE6AAXUET/graph.json","events_json":"https://pith.science/api/pith-number/XQOIQ3IPVFKHSM5Q4UE6AAXUET/events.json","paper":"https://pith.science/paper/XQOIQ3IP"},"agent_actions":{"view_html":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET","download_json":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET.json","view_paper":"https://pith.science/paper/XQOIQ3IP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.13630&json=true","fetch_graph":"https://pith.science/api/pith-number/XQOIQ3IPVFKHSM5Q4UE6AAXUET/graph.json","fetch_events":"https://pith.science/api/pith-number/XQOIQ3IPVFKHSM5Q4UE6AAXUET/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET/action/storage_attestation","attest_author":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET/action/author_attestation","sign_citation":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET/action/citation_signature","submit_replication":"https://pith.science/pith/XQOIQ3IPVFKHSM5Q4UE6AAXUET/action/replication_record"}},"created_at":"2026-07-05T07:56:56.734910+00:00","updated_at":"2026-07-05T07:56:56.734910+00:00"}