{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:TLNGWTUPHAKWMMYTKWTFTBYR3E","short_pith_number":"pith:TLNGWTUP","canonical_record":{"source":{"id":"2102.12020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-02-24T01:55:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3cb76783970fd3250eb347f77cab216438367614d2dc7ca9182e8e597b1bd10b","abstract_canon_sha256":"e42f28d7717ac6256cdb4198b98e288c9d24d7013f7975670b1c76b53293150f"},"schema_version":"1.0"},"canonical_sha256":"9ada6b4e8f381566331355a6598711d922d944b7a6ac470b4efa9e77627bf515","source":{"kind":"arxiv","id":"2102.12020","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.12020","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"2102.12020v2","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.12020","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"TLNGWTUPHAKW","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"pith_short_16","alias_value":"TLNGWTUPHAKWMMYT","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"pith_short_8","alias_value":"TLNGWTUP","created_at":"2026-07-05T03:23:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:TLNGWTUPHAKWMMYTKWTFTBYR3E","target":"record","payload":{"canonical_record":{"source":{"id":"2102.12020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-02-24T01:55:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3cb76783970fd3250eb347f77cab216438367614d2dc7ca9182e8e597b1bd10b","abstract_canon_sha256":"e42f28d7717ac6256cdb4198b98e288c9d24d7013f7975670b1c76b53293150f"},"schema_version":"1.0"},"canonical_sha256":"9ada6b4e8f381566331355a6598711d922d944b7a6ac470b4efa9e77627bf515","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:23:38.942147Z","signature_b64":"GDSJsjZzGniVnPcorE6vSq38+/VEbDAaEdY0JSWORfGpL0eGzEjTFRLlzoaCobnGkmPNiCmBsTJVnpmE0GYTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ada6b4e8f381566331355a6598711d922d944b7a6ac470b4efa9e77627bf515","last_reissued_at":"2026-07-05T03:23:38.941389Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:23:38.941389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.12020","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":"2026-07-05T03:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z2cebHKTahrfG7cQkVQhvzN+4A6FdgxaIUVXPbRWC9Z3fVCKSK4bqY3D62nDBGw0fr6H9csoqP4WhNq3v5hnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:49:05.183298Z"},"content_sha256":"c415fbf1ff5af6ab201a57a42e3bc8a7176bdadb2e99de33099ed82527e08f52","schema_version":"1.0","event_id":"sha256:c415fbf1ff5af6ab201a57a42e3bc8a7176bdadb2e99de33099ed82527e08f52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:TLNGWTUPHAKWMMYTKWTFTBYR3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrating out heavy fields in the path integral using the background-field method: general formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Maximilian Stahlhofen, Sebastian Schuhmacher, Stefan Dittmaier","submitted_at":"2021-02-24T01:55:32Z","abstract_excerpt":"Building on an older method used to derive non-decoupling effects of a heavy Higgs boson in the Standard Model, we describe a general procedure to integrate out heavy fields in the path integral. The derivation of the corresponding effective Lagrangian including the one-loop contributions of the heavy particle(s) is particularly transparent, flexible, and algorithmic. The background-field formalism allows for a clear separation of tree-level and one-loop effects involving the heavy fields. Using expansion by regions the one-loop effects are further split into contributions from large and small"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.12020","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/2102.12020/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":"2026-07-05T03:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I5nnho5fhjCVImc7q8vrkqm8yc+8rOlKhKMIzI5RVORfxU+QoAzW876AdcUOed2A2YyxubVYOJAGkPyCBfDYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:49:05.184183Z"},"content_sha256":"6899ecd63db633e72ebf5a2544c8f45a70002640abb8c9e195ca2ff048a878f1","schema_version":"1.0","event_id":"sha256:6899ecd63db633e72ebf5a2544c8f45a70002640abb8c9e195ca2ff048a878f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E/bundle.json","state_url":"https://pith.science/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E/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":"2026-08-04T11:49:05Z","links":{"resolver":"https://pith.science/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E","bundle":"https://pith.science/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E/bundle.json","state":"https://pith.science/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLNGWTUPHAKWMMYTKWTFTBYR3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:TLNGWTUPHAKWMMYTKWTFTBYR3E","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":"e42f28d7717ac6256cdb4198b98e288c9d24d7013f7975670b1c76b53293150f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-02-24T01:55:32Z","title_canon_sha256":"3cb76783970fd3250eb347f77cab216438367614d2dc7ca9182e8e597b1bd10b"},"schema_version":"1.0","source":{"id":"2102.12020","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.12020","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"2102.12020v2","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.12020","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"TLNGWTUPHAKW","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"pith_short_16","alias_value":"TLNGWTUPHAKWMMYT","created_at":"2026-07-05T03:23:38Z"},{"alias_kind":"pith_short_8","alias_value":"TLNGWTUP","created_at":"2026-07-05T03:23:38Z"}],"graph_snapshots":[{"event_id":"sha256:6899ecd63db633e72ebf5a2544c8f45a70002640abb8c9e195ca2ff048a878f1","target":"graph","created_at":"2026-07-05T03:23:38Z","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/2102.12020/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Building on an older method used to derive non-decoupling effects of a heavy Higgs boson in the Standard Model, we describe a general procedure to integrate out heavy fields in the path integral. The derivation of the corresponding effective Lagrangian including the one-loop contributions of the heavy particle(s) is particularly transparent, flexible, and algorithmic. The background-field formalism allows for a clear separation of tree-level and one-loop effects involving the heavy fields. Using expansion by regions the one-loop effects are further split into contributions from large and small","authors_text":"Maximilian Stahlhofen, Sebastian Schuhmacher, Stefan Dittmaier","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-02-24T01:55:32Z","title":"Integrating out heavy fields in the path integral using the background-field method: general formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.12020","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:c415fbf1ff5af6ab201a57a42e3bc8a7176bdadb2e99de33099ed82527e08f52","target":"record","created_at":"2026-07-05T03:23:38Z","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":"e42f28d7717ac6256cdb4198b98e288c9d24d7013f7975670b1c76b53293150f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-02-24T01:55:32Z","title_canon_sha256":"3cb76783970fd3250eb347f77cab216438367614d2dc7ca9182e8e597b1bd10b"},"schema_version":"1.0","source":{"id":"2102.12020","kind":"arxiv","version":2}},"canonical_sha256":"9ada6b4e8f381566331355a6598711d922d944b7a6ac470b4efa9e77627bf515","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ada6b4e8f381566331355a6598711d922d944b7a6ac470b4efa9e77627bf515","first_computed_at":"2026-07-05T03:23:38.941389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:23:38.941389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GDSJsjZzGniVnPcorE6vSq38+/VEbDAaEdY0JSWORfGpL0eGzEjTFRLlzoaCobnGkmPNiCmBsTJVnpmE0GYTDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:23:38.942147Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.12020","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c415fbf1ff5af6ab201a57a42e3bc8a7176bdadb2e99de33099ed82527e08f52","sha256:6899ecd63db633e72ebf5a2544c8f45a70002640abb8c9e195ca2ff048a878f1"],"state_sha256":"15fc21a6b5974c9299d2e321c299a826af01b864ced19a5e3d92deea7f37f3ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ItGPxIzfiQIGoLo18ZpBtu5X4zBVT3WbHZ26/lzsVCeQHsoaZB2wMCgfpKiqU/1j9/1Xjhe2CstsnRkzwthUBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:49:05.189370Z","bundle_sha256":"7eac97f501bb833f5c1fcc111cd5a2b88e45c9f5041ac6cb3fd9576186100e32"}}