{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6VRGEJEKQCQB3TETNYAQA5QRGC","short_pith_number":"pith:6VRGEJEK","canonical_record":{"source":{"id":"1207.5448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-23T16:44:50Z","cross_cats_sorted":[],"title_canon_sha256":"f61b3c68097f3030df444c6155779d6dbffc82fbf117757638bffe8e05027864","abstract_canon_sha256":"4047d68570585c2349c5b9b8c04c58a4987a7aced244270e1e9b059ae4d8eb46"},"schema_version":"1.0"},"canonical_sha256":"f56262248a80a01dcc936e0100761130a41a965e812811c3c9dfc750b9bedf7b","source":{"kind":"arxiv","id":"1207.5448","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5448","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5448v1","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5448","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"6VRGEJEKQCQB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6VRGEJEKQCQB3TET","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6VRGEJEK","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6VRGEJEKQCQB3TETNYAQA5QRGC","target":"record","payload":{"canonical_record":{"source":{"id":"1207.5448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-23T16:44:50Z","cross_cats_sorted":[],"title_canon_sha256":"f61b3c68097f3030df444c6155779d6dbffc82fbf117757638bffe8e05027864","abstract_canon_sha256":"4047d68570585c2349c5b9b8c04c58a4987a7aced244270e1e9b059ae4d8eb46"},"schema_version":"1.0"},"canonical_sha256":"f56262248a80a01dcc936e0100761130a41a965e812811c3c9dfc750b9bedf7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:30.922924Z","signature_b64":"EMIjKNJjnZpaOTMVNr7xfj2sj2blpCQ9/kFbTeojEV4oAND4bVDVQjSOs6GSnmUZYKAXguDqaJNeo4X8QZBVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f56262248a80a01dcc936e0100761130a41a965e812811c3c9dfc750b9bedf7b","last_reissued_at":"2026-05-18T03:22:30.922340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:30.922340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.5448","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":"2026-05-18T03:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZG49NSQaDULDxnh5RQGQSC9dzoNbicH4xxGVAwm1W1uPJbizr3Jexwdg8RfkoqYMcdBuxDAa7stq5lrXoHGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:25:49.279364Z"},"content_sha256":"e0ce7a0c715b4872dda36c513a4f3fdd2c055328d21ac4adb7697839aad48633","schema_version":"1.0","event_id":"sha256:e0ce7a0c715b4872dda36c513a4f3fdd2c055328d21ac4adb7697839aad48633"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6VRGEJEKQCQB3TETNYAQA5QRGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gerhard Sch\\\"afer, Piotr Jaranowski","submitted_at":"2012-07-23T16:44:50Z","abstract_excerpt":"The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\\ 4th post-Newtonian (4PN) order, and up to quadratic order in Newton's gravitational constant. Additionally, all logarithmic terms at the 4PN order are given as well as terms describing the test-mass limit. With the aid of the Poincar\\'e algebra additional terms are obtained. The dynamics is presented in form of an autonomous Hamiltonian derived within the formalism of Arnowitt, Deser and Misner. Out of the 57 different t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5448","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":""},"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":"2026-05-18T03:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"63g+X9CI5fP0eJzvrKEs/8wsMOe0ntiSoiq75nrCfn5g67Gcc/GRaIONxXx2yGouZdB4STyn0BCie9Gyaw4wDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:25:49.279926Z"},"content_sha256":"a14737ee0cd4ef36ae224d9a3b3fd699d6e1a151bf031f0d853b5a1b60374dd8","schema_version":"1.0","event_id":"sha256:a14737ee0cd4ef36ae224d9a3b3fd699d6e1a151bf031f0d853b5a1b60374dd8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6VRGEJEKQCQB3TETNYAQA5QRGC/bundle.json","state_url":"https://pith.science/pith/6VRGEJEKQCQB3TETNYAQA5QRGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6VRGEJEKQCQB3TETNYAQA5QRGC/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":"2026-06-07T07:25:49Z","links":{"resolver":"https://pith.science/pith/6VRGEJEKQCQB3TETNYAQA5QRGC","bundle":"https://pith.science/pith/6VRGEJEKQCQB3TETNYAQA5QRGC/bundle.json","state":"https://pith.science/pith/6VRGEJEKQCQB3TETNYAQA5QRGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6VRGEJEKQCQB3TETNYAQA5QRGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6VRGEJEKQCQB3TETNYAQA5QRGC","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":"4047d68570585c2349c5b9b8c04c58a4987a7aced244270e1e9b059ae4d8eb46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-23T16:44:50Z","title_canon_sha256":"f61b3c68097f3030df444c6155779d6dbffc82fbf117757638bffe8e05027864"},"schema_version":"1.0","source":{"id":"1207.5448","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5448","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5448v1","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5448","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"6VRGEJEKQCQB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6VRGEJEKQCQB3TET","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6VRGEJEK","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:a14737ee0cd4ef36ae224d9a3b3fd699d6e1a151bf031f0d853b5a1b60374dd8","target":"graph","created_at":"2026-05-18T03:22:30Z","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"},"paper":{"abstract_excerpt":"The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\\ 4th post-Newtonian (4PN) order, and up to quadratic order in Newton's gravitational constant. Additionally, all logarithmic terms at the 4PN order are given as well as terms describing the test-mass limit. With the aid of the Poincar\\'e algebra additional terms are obtained. The dynamics is presented in form of an autonomous Hamiltonian derived within the formalism of Arnowitt, Deser and Misner. Out of the 57 different t","authors_text":"Gerhard Sch\\\"afer, Piotr Jaranowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-23T16:44:50Z","title":"Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5448","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:e0ce7a0c715b4872dda36c513a4f3fdd2c055328d21ac4adb7697839aad48633","target":"record","created_at":"2026-05-18T03:22:30Z","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":"4047d68570585c2349c5b9b8c04c58a4987a7aced244270e1e9b059ae4d8eb46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-23T16:44:50Z","title_canon_sha256":"f61b3c68097f3030df444c6155779d6dbffc82fbf117757638bffe8e05027864"},"schema_version":"1.0","source":{"id":"1207.5448","kind":"arxiv","version":1}},"canonical_sha256":"f56262248a80a01dcc936e0100761130a41a965e812811c3c9dfc750b9bedf7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f56262248a80a01dcc936e0100761130a41a965e812811c3c9dfc750b9bedf7b","first_computed_at":"2026-05-18T03:22:30.922340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:30.922340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EMIjKNJjnZpaOTMVNr7xfj2sj2blpCQ9/kFbTeojEV4oAND4bVDVQjSOs6GSnmUZYKAXguDqaJNeo4X8QZBVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:30.922924Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5448","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0ce7a0c715b4872dda36c513a4f3fdd2c055328d21ac4adb7697839aad48633","sha256:a14737ee0cd4ef36ae224d9a3b3fd699d6e1a151bf031f0d853b5a1b60374dd8"],"state_sha256":"930c4b9b0869f29176774ba64a26b26b71a9552275f7a9f31a0059e89066d52b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HWr5qFXE71lX38JlAZ72iAcEqKt6v2xlO0uuI5ur0hic2fBieWrhffChQ4fz3ZNjrE3ECruCC8cQDKOvJCAeBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:25:49.283049Z","bundle_sha256":"431a61a0889b79398d35806827a19590de4b9beb0305acb52201c5e9fe124fd4"}}