{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:ZGSJEMWV7YAWQH7CGPXBRZZNH2","short_pith_number":"pith:ZGSJEMWV","canonical_record":{"source":{"id":"2001.04481","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-13T19:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"51ad2af15c8a9e234b9f991e1bcae6ebc8e49f5283865101fe26f8be276e8335","abstract_canon_sha256":"91c7188e237f05ea73398ad661c068fe80bc704c4cbaa6a8bad0cfbc2edc2ad1"},"schema_version":"1.0"},"canonical_sha256":"c9a49232d5fe01681fe233ee18e72d3e8b2faa311cfff2613fe85f208926f23a","source":{"kind":"arxiv","id":"2001.04481","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.04481","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"2001.04481v1","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.04481","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZGSJEMWV7YAW","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"ZGSJEMWV7YAWQH7C","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"ZGSJEMWV","created_at":"2026-07-05T02:06:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:ZGSJEMWV7YAWQH7CGPXBRZZNH2","target":"record","payload":{"canonical_record":{"source":{"id":"2001.04481","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-13T19:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"51ad2af15c8a9e234b9f991e1bcae6ebc8e49f5283865101fe26f8be276e8335","abstract_canon_sha256":"91c7188e237f05ea73398ad661c068fe80bc704c4cbaa6a8bad0cfbc2edc2ad1"},"schema_version":"1.0"},"canonical_sha256":"c9a49232d5fe01681fe233ee18e72d3e8b2faa311cfff2613fe85f208926f23a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:06:06.417576Z","signature_b64":"MXObCgHitslc7aDE46rL+jdz30XnlkLHcim3NuDg9ZZAhHMfiquf9txPGo0DfDSg8L5Foc3yq5FH35xvOEbhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9a49232d5fe01681fe233ee18e72d3e8b2faa311cfff2613fe85f208926f23a","last_reissued_at":"2026-07-05T02:06:06.417096Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:06:06.417096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.04481","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvodB3ngmziJiBtJbz4kP2uEwJlwV/rR0lBO+aYs38wXOVGr3wD4L3X/DKIRpcWoSbZgn0xq9ZudS1IxdwTMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:39:08.878205Z"},"content_sha256":"1d40deea9cdbfdef5270899ea6c6c0624c9004eb459c805268a519be658dcd2b","schema_version":"1.0","event_id":"sha256:1d40deea9cdbfdef5270899ea6c6c0624c9004eb459c805268a519be658dcd2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:ZGSJEMWV7YAWQH7CGPXBRZZNH2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Selection Rules from Angular Momentum Conservation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jing Shu, Ming-Lei Xiao, Minyuan Jiang, Yu-Hui Zheng","submitted_at":"2020-01-13T19:00:10Z","abstract_excerpt":"We derive the generalized partial wave expansion for $M \\rightarrow N$ scattering amplitude in terms of spinor helicity variables. The basis amplitudes of the expansion with definite angular momentum $j$ consist of the Poincare Clebsch-Gordan coefficients, while $j$ constrains the UV physics that could generate the corresponding operators at tree level. Moreover, we obtain a series of selection rules that restrict the anomalous dimension matrix of effective operators and the way how effective operators contribute to some $2 \\rightarrow N$ amplitudes at the loop level."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.04481","kind":"arxiv","version":1},"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/2001.04481/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":"2026-07-05T02:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+eIXVY3Gefv6IgVRS8I7+vHPMm2SNsMemM3WjLRpsPi39lJ5pWVQJ4Nx+9eGO9u1VEFyyjEBX8OGZWMgW/AbBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:39:08.878709Z"},"content_sha256":"2a34f98d568117e5e573da588798cc4b67e22190c21413514232e2273716ab84","schema_version":"1.0","event_id":"sha256:2a34f98d568117e5e573da588798cc4b67e22190c21413514232e2273716ab84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2/bundle.json","state_url":"https://pith.science/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2/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":"2026-08-09T05:39:08Z","links":{"resolver":"https://pith.science/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2","bundle":"https://pith.science/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2/bundle.json","state":"https://pith.science/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZGSJEMWV7YAWQH7CGPXBRZZNH2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ZGSJEMWV7YAWQH7CGPXBRZZNH2","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":"91c7188e237f05ea73398ad661c068fe80bc704c4cbaa6a8bad0cfbc2edc2ad1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-13T19:00:10Z","title_canon_sha256":"51ad2af15c8a9e234b9f991e1bcae6ebc8e49f5283865101fe26f8be276e8335"},"schema_version":"1.0","source":{"id":"2001.04481","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.04481","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"2001.04481v1","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.04481","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZGSJEMWV7YAW","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"ZGSJEMWV7YAWQH7C","created_at":"2026-07-05T02:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"ZGSJEMWV","created_at":"2026-07-05T02:06:06Z"}],"graph_snapshots":[{"event_id":"sha256:2a34f98d568117e5e573da588798cc4b67e22190c21413514232e2273716ab84","target":"graph","created_at":"2026-07-05T02:06:06Z","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/2001.04481/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the generalized partial wave expansion for $M \\rightarrow N$ scattering amplitude in terms of spinor helicity variables. The basis amplitudes of the expansion with definite angular momentum $j$ consist of the Poincare Clebsch-Gordan coefficients, while $j$ constrains the UV physics that could generate the corresponding operators at tree level. Moreover, we obtain a series of selection rules that restrict the anomalous dimension matrix of effective operators and the way how effective operators contribute to some $2 \\rightarrow N$ amplitudes at the loop level.","authors_text":"Jing Shu, Ming-Lei Xiao, Minyuan Jiang, Yu-Hui Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-13T19:00:10Z","title":"New Selection Rules from Angular Momentum Conservation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.04481","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":"sha256:1d40deea9cdbfdef5270899ea6c6c0624c9004eb459c805268a519be658dcd2b","target":"record","created_at":"2026-07-05T02:06:06Z","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":"91c7188e237f05ea73398ad661c068fe80bc704c4cbaa6a8bad0cfbc2edc2ad1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-13T19:00:10Z","title_canon_sha256":"51ad2af15c8a9e234b9f991e1bcae6ebc8e49f5283865101fe26f8be276e8335"},"schema_version":"1.0","source":{"id":"2001.04481","kind":"arxiv","version":1}},"canonical_sha256":"c9a49232d5fe01681fe233ee18e72d3e8b2faa311cfff2613fe85f208926f23a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9a49232d5fe01681fe233ee18e72d3e8b2faa311cfff2613fe85f208926f23a","first_computed_at":"2026-07-05T02:06:06.417096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:06.417096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MXObCgHitslc7aDE46rL+jdz30XnlkLHcim3NuDg9ZZAhHMfiquf9txPGo0DfDSg8L5Foc3yq5FH35xvOEbhBA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:06.417576Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.04481","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d40deea9cdbfdef5270899ea6c6c0624c9004eb459c805268a519be658dcd2b","sha256:2a34f98d568117e5e573da588798cc4b67e22190c21413514232e2273716ab84"],"state_sha256":"642e92f4a33fcf426ea54b42a1b6e214c6fa71c87e05492560209133803c9bde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D7rufZ9NrukRPUmuyHlVzuYnFiz3GkP+882HKvvrYrS33jFEMyccRZ2XNa/Nrd8Me2Uncpb4gpQAyraFkyg3CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T05:39:08.882651Z","bundle_sha256":"f4c8421c6ffbacb57ecc3e0f45f9242f1a8092bdf504d81bd465c27a0b086f74"}}