{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:J6XCQWKNOCKNBUPDQYCOWJX26D","short_pith_number":"pith:J6XCQWKN","canonical_record":{"source":{"id":"2601.06743","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-11T01:31:31Z","cross_cats_sorted":[],"title_canon_sha256":"f414e6366cbea4a38ca31553815a899e851e8c37361e63ea6764d422dff65561","abstract_canon_sha256":"cd2414fbeb221b723713cf417bee335ac388ec03c64f2737cf297bacf3236eb9"},"schema_version":"1.0"},"canonical_sha256":"4fae28594d7094d0d1e38604eb26faf0f86785a8cafaa63809559d489d5824d0","source":{"kind":"arxiv","id":"2601.06743","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.06743","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"2601.06743v3","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.06743","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"J6XCQWKNOCKN","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"pith_short_16","alias_value":"J6XCQWKNOCKNBUPD","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"pith_short_8","alias_value":"J6XCQWKN","created_at":"2026-05-26T01:02:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:J6XCQWKNOCKNBUPDQYCOWJX26D","target":"record","payload":{"canonical_record":{"source":{"id":"2601.06743","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-11T01:31:31Z","cross_cats_sorted":[],"title_canon_sha256":"f414e6366cbea4a38ca31553815a899e851e8c37361e63ea6764d422dff65561","abstract_canon_sha256":"cd2414fbeb221b723713cf417bee335ac388ec03c64f2737cf297bacf3236eb9"},"schema_version":"1.0"},"canonical_sha256":"4fae28594d7094d0d1e38604eb26faf0f86785a8cafaa63809559d489d5824d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T01:02:30.579301Z","signature_b64":"0NFCxBvYIZS3bKbWADspF+v7G763+D2SYXIiI5cTmqBWHh1lJoYHjsTF2Vk8XGt/rqfn15gjQnDps/zkagECBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fae28594d7094d0d1e38604eb26faf0f86785a8cafaa63809559d489d5824d0","last_reissued_at":"2026-05-26T01:02:30.578573Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T01:02:30.578573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.06743","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":"2026-05-26T01:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LOPxe/x10yVJ4EYE+7LhNlD+oMtoClI8N9+Ssbfx8qblaz9SHhSoicPJaiWk7+24TUJ5q67UVR/2joJvqTxNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:58:20.012199Z"},"content_sha256":"b05bbb08afb86e071f74f54613bcf1ea3a32ef11ed94fa26eb5b9d6d5c88a69b","schema_version":"1.0","event_id":"sha256:b05bbb08afb86e071f74f54613bcf1ea3a32ef11ed94fa26eb5b9d6d5c88a69b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:J6XCQWKNOCKNBUPDQYCOWJX26D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David Trestini, Emeric Seraille, Guillaume Faye, Luc Blanchet","submitted_at":"2026-01-11T01:31:31Z","abstract_excerpt":"We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is used to treat the ultra-violet divergences which appear at that order. We prove that the RR acceleration implies the known radiation fluxes at infinity associated with energy, angular momentum, linear momentum, and center-of-mass position. As a consistency check, we verify the manifest Lorentz invariance of the RR acceleration in harmonic coordinates. Our result should be useful for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.06743","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/2601.06743/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":"2026-05-26T01:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6i4LsshW7swFCXGvbjFGr2FJyCsMvsy28Ptyxy7xwKlbxd77BKYIBmuF3DyZneK3NLqvk/xOOyYmHtjgnZsGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:58:20.012576Z"},"content_sha256":"9bd97f1097d0c676a3f7f8a94fb733723455117c5f76d33c94cd4c7e3e367b86","schema_version":"1.0","event_id":"sha256:9bd97f1097d0c676a3f7f8a94fb733723455117c5f76d33c94cd4c7e3e367b86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J6XCQWKNOCKNBUPDQYCOWJX26D/bundle.json","state_url":"https://pith.science/pith/J6XCQWKNOCKNBUPDQYCOWJX26D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J6XCQWKNOCKNBUPDQYCOWJX26D/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":"2026-06-01T17:58:20Z","links":{"resolver":"https://pith.science/pith/J6XCQWKNOCKNBUPDQYCOWJX26D","bundle":"https://pith.science/pith/J6XCQWKNOCKNBUPDQYCOWJX26D/bundle.json","state":"https://pith.science/pith/J6XCQWKNOCKNBUPDQYCOWJX26D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J6XCQWKNOCKNBUPDQYCOWJX26D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:J6XCQWKNOCKNBUPDQYCOWJX26D","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":"cd2414fbeb221b723713cf417bee335ac388ec03c64f2737cf297bacf3236eb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-11T01:31:31Z","title_canon_sha256":"f414e6366cbea4a38ca31553815a899e851e8c37361e63ea6764d422dff65561"},"schema_version":"1.0","source":{"id":"2601.06743","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.06743","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"2601.06743v3","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.06743","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"J6XCQWKNOCKN","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"pith_short_16","alias_value":"J6XCQWKNOCKNBUPD","created_at":"2026-05-26T01:02:30Z"},{"alias_kind":"pith_short_8","alias_value":"J6XCQWKN","created_at":"2026-05-26T01:02:30Z"}],"graph_snapshots":[{"event_id":"sha256:9bd97f1097d0c676a3f7f8a94fb733723455117c5f76d33c94cd4c7e3e367b86","target":"graph","created_at":"2026-05-26T01:02:30Z","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/2601.06743/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is used to treat the ultra-violet divergences which appear at that order. We prove that the RR acceleration implies the known radiation fluxes at infinity associated with energy, angular momentum, linear momentum, and center-of-mass position. As a consistency check, we verify the manifest Lorentz invariance of the RR acceleration in harmonic coordinates. Our result should be useful for","authors_text":"David Trestini, Emeric Seraille, Guillaume Faye, Luc Blanchet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-11T01:31:31Z","title":"Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.06743","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:b05bbb08afb86e071f74f54613bcf1ea3a32ef11ed94fa26eb5b9d6d5c88a69b","target":"record","created_at":"2026-05-26T01:02:30Z","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":"cd2414fbeb221b723713cf417bee335ac388ec03c64f2737cf297bacf3236eb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-11T01:31:31Z","title_canon_sha256":"f414e6366cbea4a38ca31553815a899e851e8c37361e63ea6764d422dff65561"},"schema_version":"1.0","source":{"id":"2601.06743","kind":"arxiv","version":3}},"canonical_sha256":"4fae28594d7094d0d1e38604eb26faf0f86785a8cafaa63809559d489d5824d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fae28594d7094d0d1e38604eb26faf0f86785a8cafaa63809559d489d5824d0","first_computed_at":"2026-05-26T01:02:30.578573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:02:30.578573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0NFCxBvYIZS3bKbWADspF+v7G763+D2SYXIiI5cTmqBWHh1lJoYHjsTF2Vk8XGt/rqfn15gjQnDps/zkagECBg==","signature_status":"signed_v1","signed_at":"2026-05-26T01:02:30.579301Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.06743","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b05bbb08afb86e071f74f54613bcf1ea3a32ef11ed94fa26eb5b9d6d5c88a69b","sha256:9bd97f1097d0c676a3f7f8a94fb733723455117c5f76d33c94cd4c7e3e367b86"],"state_sha256":"30015a972c6e61df40f7a08f664b5beedf7fe0b81e0fb33e820b70fee7591c37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4J3sXKY1I84lVEOhncCF4F9zBInPXHaqWgY9Dk7Yio6LTIQKiJJS0FfKmnMBH3mbjp4lY4sbCy4oDCBiLCmDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:58:20.014455Z","bundle_sha256":"fe0a26441cea45898583d79181bebce5e43d84ce6c48298bd640eb908a0a6640"}}