{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:MIBVTJJNSYB6C4R2EA5QH6IYKN","short_pith_number":"pith:MIBVTJJN","canonical_record":{"source":{"id":"2010.13809","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T18:00:18Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"770a368b97136e986aeb75a543bd984fd96f268c163a3384ab68bf68be711c59","abstract_canon_sha256":"3dd904948e2a9250f64c63f1ec1f576defa1e26927dbd4f1e1a7ceb694121ccc"},"schema_version":"1.0"},"canonical_sha256":"620359a52d9603e1723a203b03f918536b39b0c1225c19e6ce1f922bcdadae25","source":{"kind":"arxiv","id":"2010.13809","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13809","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13809v2","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13809","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"MIBVTJJNSYB6","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"MIBVTJJNSYB6C4R2","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"MIBVTJJN","created_at":"2026-07-05T05:18:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:MIBVTJJNSYB6C4R2EA5QH6IYKN","target":"record","payload":{"canonical_record":{"source":{"id":"2010.13809","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T18:00:18Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"770a368b97136e986aeb75a543bd984fd96f268c163a3384ab68bf68be711c59","abstract_canon_sha256":"3dd904948e2a9250f64c63f1ec1f576defa1e26927dbd4f1e1a7ceb694121ccc"},"schema_version":"1.0"},"canonical_sha256":"620359a52d9603e1723a203b03f918536b39b0c1225c19e6ce1f922bcdadae25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:18:42.921938Z","signature_b64":"7niWuom8Efv0eXpPcpHONVy7JTUDEXZcdKu5Q2hLWAY6w+JXpEs3aTz0ohxCpNsFx/bPsChpCCsZkbCu7bfaBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"620359a52d9603e1723a203b03f918536b39b0c1225c19e6ce1f922bcdadae25","last_reissued_at":"2026-07-05T05:18:42.921347Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:18:42.921347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.13809","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":"2026-07-05T05:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaEWP2tch4g4Qwgf83sXka/r0XlsQp8WdavP2EVoQmDtVZsTZLt2dOHlbuy0MAqG5WSxr16NOuAPVrvaN58zAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:22:41.166246Z"},"content_sha256":"ee63cdac16bb55d355ca8559dacd661bce4abbda6f802a24c2e93fa474914997","schema_version":"1.0","event_id":"sha256:ee63cdac16bb55d355ca8559dacd661bce4abbda6f802a24c2e93fa474914997"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:MIBVTJJNSYB6C4R2EA5QH6IYKN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous Dimensions of Effective Theories from Partial Waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alex Pomarol, Benedict von Harling, Clara Fernandez, Pietro Baratella","submitted_at":"2020-10-26T18:00:18Z","abstract_excerpt":"On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions can be reduced to essentially a sum of products of partial waves. We apply this to the SM EFT, and show how certain classes of anomalous dimensions have their origin in the same partial-wave coefficients. We also use our result to obtain a generic formula for the one-loop anomalous dimensions of nonlinear sigma models at any order in the energy expansion, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13809","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/2010.13809/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":"2026-07-05T05:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qu+CeZXMEiNex/fDJYI+UODPftv+HOt/LWa1BvEYTRDwApsC7feD7SE7CPd5RFuWVJhVteo4iGPVpGRy4s2TCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:22:41.166640Z"},"content_sha256":"4f6a4511756a8860a85aba95b810b160d73d60fee3b7637b4bd581c40bb8ba44","schema_version":"1.0","event_id":"sha256:4f6a4511756a8860a85aba95b810b160d73d60fee3b7637b4bd581c40bb8ba44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN/bundle.json","state_url":"https://pith.science/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN/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":"2026-08-13T03:22:41Z","links":{"resolver":"https://pith.science/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN","bundle":"https://pith.science/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN/bundle.json","state":"https://pith.science/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MIBVTJJNSYB6C4R2EA5QH6IYKN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:MIBVTJJNSYB6C4R2EA5QH6IYKN","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":"3dd904948e2a9250f64c63f1ec1f576defa1e26927dbd4f1e1a7ceb694121ccc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T18:00:18Z","title_canon_sha256":"770a368b97136e986aeb75a543bd984fd96f268c163a3384ab68bf68be711c59"},"schema_version":"1.0","source":{"id":"2010.13809","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13809","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13809v2","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13809","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"MIBVTJJNSYB6","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"MIBVTJJNSYB6C4R2","created_at":"2026-07-05T05:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"MIBVTJJN","created_at":"2026-07-05T05:18:42Z"}],"graph_snapshots":[{"event_id":"sha256:4f6a4511756a8860a85aba95b810b160d73d60fee3b7637b4bd581c40bb8ba44","target":"graph","created_at":"2026-07-05T05:18:42Z","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/2010.13809/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions can be reduced to essentially a sum of products of partial waves. We apply this to the SM EFT, and show how certain classes of anomalous dimensions have their origin in the same partial-wave coefficients. We also use our result to obtain a generic formula for the one-loop anomalous dimensions of nonlinear sigma models at any order in the energy expansion, and ","authors_text":"Alex Pomarol, Benedict von Harling, Clara Fernandez, Pietro Baratella","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T18:00:18Z","title":"Anomalous Dimensions of Effective Theories from Partial Waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13809","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:ee63cdac16bb55d355ca8559dacd661bce4abbda6f802a24c2e93fa474914997","target":"record","created_at":"2026-07-05T05:18:42Z","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":"3dd904948e2a9250f64c63f1ec1f576defa1e26927dbd4f1e1a7ceb694121ccc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T18:00:18Z","title_canon_sha256":"770a368b97136e986aeb75a543bd984fd96f268c163a3384ab68bf68be711c59"},"schema_version":"1.0","source":{"id":"2010.13809","kind":"arxiv","version":2}},"canonical_sha256":"620359a52d9603e1723a203b03f918536b39b0c1225c19e6ce1f922bcdadae25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"620359a52d9603e1723a203b03f918536b39b0c1225c19e6ce1f922bcdadae25","first_computed_at":"2026-07-05T05:18:42.921347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:18:42.921347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7niWuom8Efv0eXpPcpHONVy7JTUDEXZcdKu5Q2hLWAY6w+JXpEs3aTz0ohxCpNsFx/bPsChpCCsZkbCu7bfaBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:18:42.921938Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.13809","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee63cdac16bb55d355ca8559dacd661bce4abbda6f802a24c2e93fa474914997","sha256:4f6a4511756a8860a85aba95b810b160d73d60fee3b7637b4bd581c40bb8ba44"],"state_sha256":"20bf610a7bba5e1e6d88df0a970d962d41da4a626f1f1fc5f41229aaeaf6fe68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4PreSEY3LEw4/RctuBR8JddqH2QYLVmDuXmlDR+v/4QTsfPETrf6oS+g5Kp4/nVif6xcrNtWCS6roK/ZU+9BAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:22:41.169475Z","bundle_sha256":"516846fddc54a6a9bba2202a9abf69915500defbf67fa9d29f875e4c0aeba868"}}