{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:XTA6CPXFYROCDAPE6GXENANW76","short_pith_number":"pith:XTA6CPXF","canonical_record":{"source":{"id":"2208.02281","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-03T18:04:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ec8be671cd37a213dbe365bc3634fdb22d77dc655eb4d8ede03252badd61c569","abstract_canon_sha256":"6efa447d6b5b85eff76d0ddd94656ebc0869767aa7f46e895d4cd3e809b94ddf"},"schema_version":"1.0"},"canonical_sha256":"bcc1e13ee5c45c2181e4f1ae4681b6ffb3431cc9c0a43511b78f5f9a00eba4ae","source":{"kind":"arxiv","id":"2208.02281","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.02281","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"arxiv_version","alias_value":"2208.02281v2","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02281","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"pith_short_12","alias_value":"XTA6CPXFYROC","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"pith_short_16","alias_value":"XTA6CPXFYROCDAPE","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"pith_short_8","alias_value":"XTA6CPXF","created_at":"2026-07-05T05:46:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:XTA6CPXFYROCDAPE6GXENANW76","target":"record","payload":{"canonical_record":{"source":{"id":"2208.02281","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-03T18:04:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ec8be671cd37a213dbe365bc3634fdb22d77dc655eb4d8ede03252badd61c569","abstract_canon_sha256":"6efa447d6b5b85eff76d0ddd94656ebc0869767aa7f46e895d4cd3e809b94ddf"},"schema_version":"1.0"},"canonical_sha256":"bcc1e13ee5c45c2181e4f1ae4681b6ffb3431cc9c0a43511b78f5f9a00eba4ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:46:19.162554Z","signature_b64":"L5CLsBvEfPmgKghVLs9akW3hFlCKJrCZCdBJl6WOCOvF2WuOVDTK6uJMYLh9yQkQfLp7xonHEnWxYiJGcwq+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcc1e13ee5c45c2181e4f1ae4681b6ffb3431cc9c0a43511b78f5f9a00eba4ae","last_reissued_at":"2026-07-05T05:46:19.162053Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:46:19.162053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.02281","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":"2026-07-05T05:46:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EMyxiJeDGwBm1tMtYmCV9BRLLHDxT1c/7TFlMbU/sFf4YzAlw4bVnBwslzCxH3CMT/42Eg7+oHB1joeEh4rjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:13:03.342439Z"},"content_sha256":"d1c5e58609ca1d0d9a54d5cf8f9307dfd5e7bc63bc19b4b0380369f63243079d","schema_version":"1.0","event_id":"sha256:d1c5e58609ca1d0d9a54d5cf8f9307dfd5e7bc63bc19b4b0380369f63243079d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:XTA6CPXFYROCDAPE6GXENANW76","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Callum R. T. Jones, Mikhail Solon","submitted_at":"2022-08-03T18:04:35Z","abstract_excerpt":"We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described including the subtraction of tree-like iteration contributions and the calculation of non-trivial many-body Fourier transform integrals needed to construct position space potentials. A new approach to calculating these integrals as an expansion in the hierarchical limit is described based on the method of regions. As an explicit example, we present the $\\mathcal{O}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02281","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/2208.02281/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":"2026-07-05T05:46:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"piunluahi2t7vFWkn4m0bX+86PnyF4xXu0M/a3zAJBEn+r2+aIjOKXrxC6giL32IhvydWPJYIHmCvh6um3MiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:13:03.343085Z"},"content_sha256":"fd7abb11e30c4068d5813d5d0e977771dd51c5bd34018d5c1dfb203c47e1f444","schema_version":"1.0","event_id":"sha256:fd7abb11e30c4068d5813d5d0e977771dd51c5bd34018d5c1dfb203c47e1f444"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XTA6CPXFYROCDAPE6GXENANW76/bundle.json","state_url":"https://pith.science/pith/XTA6CPXFYROCDAPE6GXENANW76/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XTA6CPXFYROCDAPE6GXENANW76/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":"2026-08-12T20:13:03Z","links":{"resolver":"https://pith.science/pith/XTA6CPXFYROCDAPE6GXENANW76","bundle":"https://pith.science/pith/XTA6CPXFYROCDAPE6GXENANW76/bundle.json","state":"https://pith.science/pith/XTA6CPXFYROCDAPE6GXENANW76/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XTA6CPXFYROCDAPE6GXENANW76/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XTA6CPXFYROCDAPE6GXENANW76","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":"6efa447d6b5b85eff76d0ddd94656ebc0869767aa7f46e895d4cd3e809b94ddf","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-03T18:04:35Z","title_canon_sha256":"ec8be671cd37a213dbe365bc3634fdb22d77dc655eb4d8ede03252badd61c569"},"schema_version":"1.0","source":{"id":"2208.02281","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.02281","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"arxiv_version","alias_value":"2208.02281v2","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02281","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"pith_short_12","alias_value":"XTA6CPXFYROC","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"pith_short_16","alias_value":"XTA6CPXFYROCDAPE","created_at":"2026-07-05T05:46:19Z"},{"alias_kind":"pith_short_8","alias_value":"XTA6CPXF","created_at":"2026-07-05T05:46:19Z"}],"graph_snapshots":[{"event_id":"sha256:fd7abb11e30c4068d5813d5d0e977771dd51c5bd34018d5c1dfb203c47e1f444","target":"graph","created_at":"2026-07-05T05:46:19Z","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/2208.02281/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described including the subtraction of tree-like iteration contributions and the calculation of non-trivial many-body Fourier transform integrals needed to construct position space potentials. A new approach to calculating these integrals as an expansion in the hierarchical limit is described based on the method of regions. As an explicit example, we present the $\\mathcal{O}","authors_text":"Callum R. T. Jones, Mikhail Solon","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-03T18:04:35Z","title":"Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02281","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:d1c5e58609ca1d0d9a54d5cf8f9307dfd5e7bc63bc19b4b0380369f63243079d","target":"record","created_at":"2026-07-05T05:46:19Z","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":"6efa447d6b5b85eff76d0ddd94656ebc0869767aa7f46e895d4cd3e809b94ddf","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-03T18:04:35Z","title_canon_sha256":"ec8be671cd37a213dbe365bc3634fdb22d77dc655eb4d8ede03252badd61c569"},"schema_version":"1.0","source":{"id":"2208.02281","kind":"arxiv","version":2}},"canonical_sha256":"bcc1e13ee5c45c2181e4f1ae4681b6ffb3431cc9c0a43511b78f5f9a00eba4ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcc1e13ee5c45c2181e4f1ae4681b6ffb3431cc9c0a43511b78f5f9a00eba4ae","first_computed_at":"2026-07-05T05:46:19.162053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:46:19.162053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L5CLsBvEfPmgKghVLs9akW3hFlCKJrCZCdBJl6WOCOvF2WuOVDTK6uJMYLh9yQkQfLp7xonHEnWxYiJGcwq+Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:46:19.162554Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.02281","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1c5e58609ca1d0d9a54d5cf8f9307dfd5e7bc63bc19b4b0380369f63243079d","sha256:fd7abb11e30c4068d5813d5d0e977771dd51c5bd34018d5c1dfb203c47e1f444"],"state_sha256":"f6ae85e26862cc1cf7c80a0e1f88bb5421ec4e72578a1c2f6691e3364d34fe5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HL4r5zUkqrrIb+/UAMEysEAMu4SVlOSPhjMNwChDjBpZuyF6qWdnjM5x8H/g8fUkGI3RY9roNssvMmOGB4KkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T20:13:03.347417Z","bundle_sha256":"85211f28d42d241acad5dcdd91347eae3edba6d6a918cd2b2b5ebb2782605e3a"}}