{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HP7CWIZUEI3N6ITYPJQEDETJCW","short_pith_number":"pith:HP7CWIZU","canonical_record":{"source":{"id":"2411.09016","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-13T20:41:25Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"5a81ef0b21d266d4c18fc77aa96887ce0e3df04723bebc8a929a1818befc6811","abstract_canon_sha256":"88683c0e621116f7c7d0ca5c1c1447114574af41c39ef82d536ec2f26181e831"},"schema_version":"1.0"},"canonical_sha256":"3bfe2b23342236df22787a6041926915905b19ca982d453d70acff53bbc982e6","source":{"kind":"arxiv","id":"2411.09016","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.09016","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"2411.09016v2","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.09016","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"HP7CWIZUEI3N","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"pith_short_16","alias_value":"HP7CWIZUEI3N6ITY","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"pith_short_8","alias_value":"HP7CWIZU","created_at":"2026-07-05T11:09:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HP7CWIZUEI3N6ITYPJQEDETJCW","target":"record","payload":{"canonical_record":{"source":{"id":"2411.09016","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-13T20:41:25Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"5a81ef0b21d266d4c18fc77aa96887ce0e3df04723bebc8a929a1818befc6811","abstract_canon_sha256":"88683c0e621116f7c7d0ca5c1c1447114574af41c39ef82d536ec2f26181e831"},"schema_version":"1.0"},"canonical_sha256":"3bfe2b23342236df22787a6041926915905b19ca982d453d70acff53bbc982e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:04.073343Z","signature_b64":"u+wufoWSuP+lDM+kmxwNO09+4V+Jw8/mpDXJlhT0MpaB+Ii4srHsFSCDmXdup38u+uHVso5Z9pO2caIoGe0/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bfe2b23342236df22787a6041926915905b19ca982d453d70acff53bbc982e6","last_reissued_at":"2026-07-05T11:09:04.072907Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:04.072907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.09016","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":"2026-07-05T11:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jf52pr3In5ok3k8Z4ilik2ZqFRHMcQlOtKlocSzJ8CbryNFgaUFwzm6vuB9CtvsFlIPzRwc1bpRc36188ZNrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:40:55.883217Z"},"content_sha256":"d0afc4944365648efa113ccc92f81bcb88a9b7b023ea6208ed078ef1370a63e9","schema_version":"1.0","event_id":"sha256:d0afc4944365648efa113ccc92f81bcb88a9b7b023ea6208ed078ef1370a63e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HP7CWIZUEI3N6ITYPJQEDETJCW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical Observables from Causal Response Functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Julio Parra-Martinez, Shovon Biswas","submitted_at":"2024-11-13T20:41:25Z","abstract_excerpt":"We revisit the calculation of classical observables from causal response functions, following up on recent work by Caron-Huot at al. [JHEP 01 (2024) 139]. We derive a formula to compute asymptotic in-in observables from a particular soft limit of five-point amputated response functions. Using such formula, we re-derive the formulas by Kosower, Maybee and O'Connell (KMOC) for the linear impulse and radiated linear momentum of particles undergoing scattering, and we present an unambiguous calculation of the radiated angular momentum at leading order. Then, we explore the consequences of manifest"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.09016","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/2411.09016/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":"2026-07-05T11:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v6Q/5j6vacsvsCWIBfruuPfN8xU+PIr7C9I8kgU1PAU4Sih6p1I+N5NMYN9joJonJC0M0jWDqw/hcNrNKrMPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:40:55.883775Z"},"content_sha256":"7449dfc3a16685ced946c86c9283abbd67bb89f894d2b2596394532f7da9d31a","schema_version":"1.0","event_id":"sha256:7449dfc3a16685ced946c86c9283abbd67bb89f894d2b2596394532f7da9d31a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HP7CWIZUEI3N6ITYPJQEDETJCW/bundle.json","state_url":"https://pith.science/pith/HP7CWIZUEI3N6ITYPJQEDETJCW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HP7CWIZUEI3N6ITYPJQEDETJCW/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":"2026-08-07T12:40:55Z","links":{"resolver":"https://pith.science/pith/HP7CWIZUEI3N6ITYPJQEDETJCW","bundle":"https://pith.science/pith/HP7CWIZUEI3N6ITYPJQEDETJCW/bundle.json","state":"https://pith.science/pith/HP7CWIZUEI3N6ITYPJQEDETJCW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HP7CWIZUEI3N6ITYPJQEDETJCW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HP7CWIZUEI3N6ITYPJQEDETJCW","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":"88683c0e621116f7c7d0ca5c1c1447114574af41c39ef82d536ec2f26181e831","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-13T20:41:25Z","title_canon_sha256":"5a81ef0b21d266d4c18fc77aa96887ce0e3df04723bebc8a929a1818befc6811"},"schema_version":"1.0","source":{"id":"2411.09016","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.09016","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"2411.09016v2","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.09016","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"HP7CWIZUEI3N","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"pith_short_16","alias_value":"HP7CWIZUEI3N6ITY","created_at":"2026-07-05T11:09:04Z"},{"alias_kind":"pith_short_8","alias_value":"HP7CWIZU","created_at":"2026-07-05T11:09:04Z"}],"graph_snapshots":[{"event_id":"sha256:7449dfc3a16685ced946c86c9283abbd67bb89f894d2b2596394532f7da9d31a","target":"graph","created_at":"2026-07-05T11:09:04Z","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/2411.09016/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the calculation of classical observables from causal response functions, following up on recent work by Caron-Huot at al. [JHEP 01 (2024) 139]. We derive a formula to compute asymptotic in-in observables from a particular soft limit of five-point amputated response functions. Using such formula, we re-derive the formulas by Kosower, Maybee and O'Connell (KMOC) for the linear impulse and radiated linear momentum of particles undergoing scattering, and we present an unambiguous calculation of the radiated angular momentum at leading order. Then, we explore the consequences of manifest","authors_text":"Julio Parra-Martinez, Shovon Biswas","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-13T20:41:25Z","title":"Classical Observables from Causal Response Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.09016","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:d0afc4944365648efa113ccc92f81bcb88a9b7b023ea6208ed078ef1370a63e9","target":"record","created_at":"2026-07-05T11:09:04Z","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":"88683c0e621116f7c7d0ca5c1c1447114574af41c39ef82d536ec2f26181e831","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-13T20:41:25Z","title_canon_sha256":"5a81ef0b21d266d4c18fc77aa96887ce0e3df04723bebc8a929a1818befc6811"},"schema_version":"1.0","source":{"id":"2411.09016","kind":"arxiv","version":2}},"canonical_sha256":"3bfe2b23342236df22787a6041926915905b19ca982d453d70acff53bbc982e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bfe2b23342236df22787a6041926915905b19ca982d453d70acff53bbc982e6","first_computed_at":"2026-07-05T11:09:04.072907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:09:04.072907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u+wufoWSuP+lDM+kmxwNO09+4V+Jw8/mpDXJlhT0MpaB+Ii4srHsFSCDmXdup38u+uHVso5Z9pO2caIoGe0/DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:09:04.073343Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.09016","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0afc4944365648efa113ccc92f81bcb88a9b7b023ea6208ed078ef1370a63e9","sha256:7449dfc3a16685ced946c86c9283abbd67bb89f894d2b2596394532f7da9d31a"],"state_sha256":"41e648c190270c056028fe2f31b09999f0f7fc78c9ea56af9a01af7fc3e46af4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7HqWpmxdjhcyRjWDTwKMDi1FzPsGJxDhMdjAxhSvnnUcbWGic0p/zhjs3PDAUGbpMoH1fu4DbufKX8XG3oEiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:40:55.889022Z","bundle_sha256":"dce2bdda01e15441205e4f0672879c01a0104fcf65ac00adc2d99587dfba956b"}}