{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:OAJP2HORZ7AY5BOUFQ2HYDBUTW","short_pith_number":"pith:OAJP2HOR","canonical_record":{"source":{"id":"2008.06195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-14T05:31:07Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"29727dbcfc0611c917adddf957c7a27f2ac6ed6360a9bc8fe3d9e080bec70f6e","abstract_canon_sha256":"8bc4e6dea19658652f96ea182661d2ce9e5ea3834ae8b2ac06ab93e4a00fdf26"},"schema_version":"1.0"},"canonical_sha256":"7012fd1dd1cfc18e85d42c347c0c349db55b1c8d25cea2170a1bf5c21e7140b2","source":{"kind":"arxiv","id":"2008.06195","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.06195","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"2008.06195v1","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.06195","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"OAJP2HORZ7AY","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"pith_short_16","alias_value":"OAJP2HORZ7AY5BOU","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"pith_short_8","alias_value":"OAJP2HOR","created_at":"2026-07-05T01:58:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:OAJP2HORZ7AY5BOUFQ2HYDBUTW","target":"record","payload":{"canonical_record":{"source":{"id":"2008.06195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-14T05:31:07Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"29727dbcfc0611c917adddf957c7a27f2ac6ed6360a9bc8fe3d9e080bec70f6e","abstract_canon_sha256":"8bc4e6dea19658652f96ea182661d2ce9e5ea3834ae8b2ac06ab93e4a00fdf26"},"schema_version":"1.0"},"canonical_sha256":"7012fd1dd1cfc18e85d42c347c0c349db55b1c8d25cea2170a1bf5c21e7140b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:58:42.029328Z","signature_b64":"WeP1PmKL7GvocwmjXSTJV5YVM5RWp4k/HWdtnoYAGDiCwodKEeIhESYb2+f0Iv4D1EQzta8GZmVQ8DLJyiQ1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7012fd1dd1cfc18e85d42c347c0c349db55b1c8d25cea2170a1bf5c21e7140b2","last_reissued_at":"2026-07-05T01:58:42.028686Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:58:42.028686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.06195","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":"2026-07-05T01:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j2+bhKoGb9wpz+d6lS5fUe7Rh5rF0hFkHvEwViKJwH0qYsOmZgN734bZQ7Z5W6yiEUog8OTCPTDCoiwv8ydTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:07:08.648810Z"},"content_sha256":"b105b849f162e94e3f1a7a532cdcbfddb33cc98b86689b59e565891116d0175d","schema_version":"1.0","event_id":"sha256:b105b849f162e94e3f1a7a532cdcbfddb33cc98b86689b59e565891116d0175d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:OAJP2HORZ7AY5BOUFQ2HYDBUTW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical Gravitational Self-Energy from Double Copy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Gabriel Luz Almeida, Riccardo Sturani, Stefano Foffa","submitted_at":"2020-08-14T05:31:07Z","abstract_excerpt":"We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling $G_N$ by generalizing color to kinematics replacement rules known in literature. When applied to the multipolar description of the two-body system, the self-energy diagrams studied in this work correspond to tail processes, whose physical interpretation is of radiation being emitted by the non-relativistic source, scattered by the curvature generated by the binary system and then re-absor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.06195","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/2008.06195/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":"2026-07-05T01:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hib/eo1AwKTltlVFgZlM3ahM9CqYLEDbn2MxkA1ofFKEXsJ26Z+f0yjZ5nBJ+vBwgQkwnO+Of+d2OwAO0VEpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:07:08.649290Z"},"content_sha256":"c27ef482e0720ca26a612c9a9734369b85bb9f11ccd33592b08cd74ba4c7daac","schema_version":"1.0","event_id":"sha256:c27ef482e0720ca26a612c9a9734369b85bb9f11ccd33592b08cd74ba4c7daac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW/bundle.json","state_url":"https://pith.science/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW/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":"2026-08-04T11:07:08Z","links":{"resolver":"https://pith.science/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW","bundle":"https://pith.science/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW/bundle.json","state":"https://pith.science/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OAJP2HORZ7AY5BOUFQ2HYDBUTW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OAJP2HORZ7AY5BOUFQ2HYDBUTW","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":"8bc4e6dea19658652f96ea182661d2ce9e5ea3834ae8b2ac06ab93e4a00fdf26","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-14T05:31:07Z","title_canon_sha256":"29727dbcfc0611c917adddf957c7a27f2ac6ed6360a9bc8fe3d9e080bec70f6e"},"schema_version":"1.0","source":{"id":"2008.06195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.06195","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"2008.06195v1","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.06195","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"OAJP2HORZ7AY","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"pith_short_16","alias_value":"OAJP2HORZ7AY5BOU","created_at":"2026-07-05T01:58:42Z"},{"alias_kind":"pith_short_8","alias_value":"OAJP2HOR","created_at":"2026-07-05T01:58:42Z"}],"graph_snapshots":[{"event_id":"sha256:c27ef482e0720ca26a612c9a9734369b85bb9f11ccd33592b08cd74ba4c7daac","target":"graph","created_at":"2026-07-05T01:58:42Z","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/2008.06195/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling $G_N$ by generalizing color to kinematics replacement rules known in literature. When applied to the multipolar description of the two-body system, the self-energy diagrams studied in this work correspond to tail processes, whose physical interpretation is of radiation being emitted by the non-relativistic source, scattered by the curvature generated by the binary system and then re-absor","authors_text":"Gabriel Luz Almeida, Riccardo Sturani, Stefano Foffa","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-14T05:31:07Z","title":"Classical Gravitational Self-Energy from Double Copy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.06195","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:b105b849f162e94e3f1a7a532cdcbfddb33cc98b86689b59e565891116d0175d","target":"record","created_at":"2026-07-05T01:58:42Z","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":"8bc4e6dea19658652f96ea182661d2ce9e5ea3834ae8b2ac06ab93e4a00fdf26","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-14T05:31:07Z","title_canon_sha256":"29727dbcfc0611c917adddf957c7a27f2ac6ed6360a9bc8fe3d9e080bec70f6e"},"schema_version":"1.0","source":{"id":"2008.06195","kind":"arxiv","version":1}},"canonical_sha256":"7012fd1dd1cfc18e85d42c347c0c349db55b1c8d25cea2170a1bf5c21e7140b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7012fd1dd1cfc18e85d42c347c0c349db55b1c8d25cea2170a1bf5c21e7140b2","first_computed_at":"2026-07-05T01:58:42.028686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:58:42.028686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WeP1PmKL7GvocwmjXSTJV5YVM5RWp4k/HWdtnoYAGDiCwodKEeIhESYb2+f0Iv4D1EQzta8GZmVQ8DLJyiQ1BA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:58:42.029328Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.06195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b105b849f162e94e3f1a7a532cdcbfddb33cc98b86689b59e565891116d0175d","sha256:c27ef482e0720ca26a612c9a9734369b85bb9f11ccd33592b08cd74ba4c7daac"],"state_sha256":"765b00fd4a50c2b3573dca83b13ac0b7f04436e54127b7c11c4d67dcd538b1f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XnxSZTiws2f7lOYzBm1fEAxISFLbZUnPIMQiE8gCYnLP6hReUx58Tkc0hvmobCJiimvspRUujfrvMKhFHsBZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:07:08.653450Z","bundle_sha256":"d5aac65098b0d0d97f231ec92874c58f2c6b9a2112ed08b966ace0903014ee44"}}