{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FHSNE2G6FQ6OIUIZJHA2ISEOFQ","short_pith_number":"pith:FHSNE2G6","canonical_record":{"source":{"id":"2210.06451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-12T17:52:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7a5125662b22cac1b80f0420c0b9c6a28fa12ea4fa4159a6ba153be726514a63","abstract_canon_sha256":"9744a595309a686b82e8ac3a9f28bf2089fe7478e790c45a142dabf7b02942c2"},"schema_version":"1.0"},"canonical_sha256":"29e4d268de2c3ce4511949c1a4488e2c19f75448f1c41c154f7dcd07f98eec28","source":{"kind":"arxiv","id":"2210.06451","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.06451","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"2210.06451v3","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.06451","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"FHSNE2G6FQ6O","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"pith_short_16","alias_value":"FHSNE2G6FQ6OIUIZ","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"pith_short_8","alias_value":"FHSNE2G6","created_at":"2026-07-05T06:34:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FHSNE2G6FQ6OIUIZJHA2ISEOFQ","target":"record","payload":{"canonical_record":{"source":{"id":"2210.06451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-12T17:52:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7a5125662b22cac1b80f0420c0b9c6a28fa12ea4fa4159a6ba153be726514a63","abstract_canon_sha256":"9744a595309a686b82e8ac3a9f28bf2089fe7478e790c45a142dabf7b02942c2"},"schema_version":"1.0"},"canonical_sha256":"29e4d268de2c3ce4511949c1a4488e2c19f75448f1c41c154f7dcd07f98eec28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:34:19.943714Z","signature_b64":"O3h+y+z/YJWBZkFHeOrV8hh578YbPLTMrNQzx/v6HNtNM4crBvakUC+GvYvkZSPAtpiCbfN96nGynwV9llYwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29e4d268de2c3ce4511949c1a4488e2c19f75448f1c41c154f7dcd07f98eec28","last_reissued_at":"2026-07-05T06:34:19.943242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:34:19.943242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.06451","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i1XzYbqrqks8xKm8Wppfj8pdVXFLseifa3RsdQf2gnjJerRF825iJu7a/ApBY/Awvjvvy1zV5zwj+C0FXqizCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:05:40.399754Z"},"content_sha256":"06c31eaae9c1bbca099107e694fc9cee03656bd729f9b98a57bb5bc480aacd14","schema_version":"1.0","event_id":"sha256:06c31eaae9c1bbca099107e694fc9cee03656bd729f9b98a57bb5bc480aacd14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FHSNE2G6FQ6OIUIZJHA2ISEOFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Gustav Mogull, Gustav Uhre Jakobsen","submitted_at":"2022-10-12T17:52:58Z","abstract_excerpt":"Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian (PM) order, including radiation-reaction effects and with arbitrarily mis-aligned spin directions. Parts of these observables, both conservative and radiative, are also inferred from lower-PM scattering data by extending Bini and Damour's linear response formula to include mis-aligned spins. By solving Hamilton's equations of motion we also use a conservati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.06451","kind":"arxiv","version":3},"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/2210.06451/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":"2026-07-05T06:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jao12sCH4Adj69ec2/Ghz/8NrYkDnhCRfLHfg2SxedN0dluGGZCArs1KoOm8kDESl6+N+OY3SqXFK1RX5+BQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:05:40.400266Z"},"content_sha256":"0c23902525dd77ad3c8fcb2e3fdef5863b097e535483f7cabf3b39e99eacd129","schema_version":"1.0","event_id":"sha256:0c23902525dd77ad3c8fcb2e3fdef5863b097e535483f7cabf3b39e99eacd129"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ/bundle.json","state_url":"https://pith.science/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ/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":"2026-08-09T23:05:40Z","links":{"resolver":"https://pith.science/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ","bundle":"https://pith.science/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ/bundle.json","state":"https://pith.science/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FHSNE2G6FQ6OIUIZJHA2ISEOFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FHSNE2G6FQ6OIUIZJHA2ISEOFQ","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":"9744a595309a686b82e8ac3a9f28bf2089fe7478e790c45a142dabf7b02942c2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-12T17:52:58Z","title_canon_sha256":"7a5125662b22cac1b80f0420c0b9c6a28fa12ea4fa4159a6ba153be726514a63"},"schema_version":"1.0","source":{"id":"2210.06451","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.06451","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"2210.06451v3","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.06451","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"FHSNE2G6FQ6O","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"pith_short_16","alias_value":"FHSNE2G6FQ6OIUIZ","created_at":"2026-07-05T06:34:19Z"},{"alias_kind":"pith_short_8","alias_value":"FHSNE2G6","created_at":"2026-07-05T06:34:19Z"}],"graph_snapshots":[{"event_id":"sha256:0c23902525dd77ad3c8fcb2e3fdef5863b097e535483f7cabf3b39e99eacd129","target":"graph","created_at":"2026-07-05T06:34:19Z","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/2210.06451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian (PM) order, including radiation-reaction effects and with arbitrarily mis-aligned spin directions. Parts of these observables, both conservative and radiative, are also inferred from lower-PM scattering data by extending Bini and Damour's linear response formula to include mis-aligned spins. By solving Hamilton's equations of motion we also use a conservati","authors_text":"Gustav Mogull, Gustav Uhre Jakobsen","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-12T17:52:58Z","title":"Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.06451","kind":"arxiv","version":3},"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":"sha256:06c31eaae9c1bbca099107e694fc9cee03656bd729f9b98a57bb5bc480aacd14","target":"record","created_at":"2026-07-05T06:34:19Z","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":"9744a595309a686b82e8ac3a9f28bf2089fe7478e790c45a142dabf7b02942c2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-12T17:52:58Z","title_canon_sha256":"7a5125662b22cac1b80f0420c0b9c6a28fa12ea4fa4159a6ba153be726514a63"},"schema_version":"1.0","source":{"id":"2210.06451","kind":"arxiv","version":3}},"canonical_sha256":"29e4d268de2c3ce4511949c1a4488e2c19f75448f1c41c154f7dcd07f98eec28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29e4d268de2c3ce4511949c1a4488e2c19f75448f1c41c154f7dcd07f98eec28","first_computed_at":"2026-07-05T06:34:19.943242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:34:19.943242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O3h+y+z/YJWBZkFHeOrV8hh578YbPLTMrNQzx/v6HNtNM4crBvakUC+GvYvkZSPAtpiCbfN96nGynwV9llYwBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:34:19.943714Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.06451","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06c31eaae9c1bbca099107e694fc9cee03656bd729f9b98a57bb5bc480aacd14","sha256:0c23902525dd77ad3c8fcb2e3fdef5863b097e535483f7cabf3b39e99eacd129"],"state_sha256":"084ff248a90baf1e2bfdf639b8d637a56edc171d8d25a858128a77e1206c2019"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ak44LYPprWVf1KYx6PL/y+rxTrW7r4Z1BYAD36rAwM/OwpKZi2/q9x2A0ikktOGwnhstsEgyWIoMbe0A9X8ODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T23:05:40.405017Z","bundle_sha256":"b99c0df6ae75f59ae3a45e2cbbbce20e5d6b6e2b83a88000787c518ce23e012b"}}