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Building on this one-loop-accurate frequency-domain gravitational waveform, we successively derive the spectral gravitational-wave (GW) radiance, $dE^{\\rm gw}/(d\\omega d\\Omega)$, the radiated GW energy spectrum, $dE^{\\rm gw}/d\\omega$, and the radiated GW angular distribution, $dE^{\\rm gw}/d\\Omega$, up to order $G^4$ included. We deduce from the radiated a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.03879","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-04T13:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"aa3ade626f16b3ef639fd1c9ceb767329e6f643e76a7ad0a0d7352e79e309da0","abstract_canon_sha256":"6aa4547602c87fd6f4414f42a4395f98f4033c178230ed26f282d39091800c86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:18:12.399032Z","signature_b64":"yPOg3vObqcuSVINBUjGB3xDh7VcdvVnf5su6p177wBHMox/MDShgU9ntrf3aCInIJZLFa6YPCP5tNkgfFELKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"508c38df40005938980303a25c1111a528289485c8b36136e83854c79e9f6e10","last_reissued_at":"2026-07-07T02:18:12.398306Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:18:12.398306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Radiated Energy Spectrum, Radiated Angular Distribution and Non-linear Memory from the One-loop Gravitational Bremsstrahlung Waveform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Andrea Geralico, Donato Bini, Stefano De Angelis, Thibault Damour","submitted_at":"2026-07-04T13:48:56Z","abstract_excerpt":"The frequency-domain gravitational waveform emitted by the scattering of two non-spinning massive particles has recently been derived at next-to-leading, \\textit{i.e.} one-loop, post-Minkowskian order, $h(\\omega, \\theta,\\phi) \\sim G^2 + G^3$. Building on this one-loop-accurate frequency-domain gravitational waveform, we successively derive the spectral gravitational-wave (GW) radiance, $dE^{\\rm gw}/(d\\omega d\\Omega)$, the radiated GW energy spectrum, $dE^{\\rm gw}/d\\omega$, and the radiated GW angular distribution, $dE^{\\rm gw}/d\\Omega$, up to order $G^4$ included. We deduce from the radiated a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03879","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/2607.03879/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.03879","created_at":"2026-07-07T02:18:12.398453+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.03879v1","created_at":"2026-07-07T02:18:12.398453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03879","created_at":"2026-07-07T02:18:12.398453+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCGDRX2AABMT","created_at":"2026-07-07T02:18:12.398453+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCGDRX2AABMTRGAD","created_at":"2026-07-07T02:18:12.398453+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCGDRX2A","created_at":"2026-07-07T02:18:12.398453+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU","json":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU.json","graph_json":"https://pith.science/api/pith-number/KCGDRX2AABMTRGADAORFYEIRUU/graph.json","events_json":"https://pith.science/api/pith-number/KCGDRX2AABMTRGADAORFYEIRUU/events.json","paper":"https://pith.science/paper/KCGDRX2A"},"agent_actions":{"view_html":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU","download_json":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU.json","view_paper":"https://pith.science/paper/KCGDRX2A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.03879&json=true","fetch_graph":"https://pith.science/api/pith-number/KCGDRX2AABMTRGADAORFYEIRUU/graph.json","fetch_events":"https://pith.science/api/pith-number/KCGDRX2AABMTRGADAORFYEIRUU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU/action/storage_attestation","attest_author":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU/action/author_attestation","sign_citation":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU/action/citation_signature","submit_replication":"https://pith.science/pith/KCGDRX2AABMTRGADAORFYEIRUU/action/replication_record"}},"created_at":"2026-07-07T02:18:12.398453+00:00","updated_at":"2026-07-07T02:18:12.398453+00:00"}