{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CEAXKTV2PN3A3Q3TLZ7ODLGLW3","short_pith_number":"pith:CEAXKTV2","canonical_record":{"source":{"id":"1506.05648","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-18T12:22:06Z","cross_cats_sorted":[],"title_canon_sha256":"16ed91914105e8fbd87d98ee18d249fb923b4c86bd288430ce7f373c7fa9eda5","abstract_canon_sha256":"98851f73c7522ae012405674e8505217f8cccc1bc17bce4ef5838e2836d73dc5"},"schema_version":"1.0"},"canonical_sha256":"1101754eba7b760dc3735e7ee1accbb6ffdd7749a59b1c4d448317a502caf900","source":{"kind":"arxiv","id":"1506.05648","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05648","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05648v2","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05648","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"CEAXKTV2PN3A","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CEAXKTV2PN3A3Q3T","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CEAXKTV2","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CEAXKTV2PN3A3Q3TLZ7ODLGLW3","target":"record","payload":{"canonical_record":{"source":{"id":"1506.05648","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-18T12:22:06Z","cross_cats_sorted":[],"title_canon_sha256":"16ed91914105e8fbd87d98ee18d249fb923b4c86bd288430ce7f373c7fa9eda5","abstract_canon_sha256":"98851f73c7522ae012405674e8505217f8cccc1bc17bce4ef5838e2836d73dc5"},"schema_version":"1.0"},"canonical_sha256":"1101754eba7b760dc3735e7ee1accbb6ffdd7749a59b1c4d448317a502caf900","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:34.385764Z","signature_b64":"2FNMkkYrgOBpkPmVk8cyPjDjjN5NefzDCeHJauZsJgiKFQbAJSva/78dsQiMTFPGR27jRiQuJxnIXsJlxzCWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1101754eba7b760dc3735e7ee1accbb6ffdd7749a59b1c4d448317a502caf900","last_reissued_at":"2026-05-18T01:30:34.384931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:34.384931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.05648","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":"2026-05-18T01:30:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tQzL8vCf8ULbAV32CTv8gYJAZWKDEThOd7ItfHeKqbJ+7VkHPJMJdTd72pUZfdD6TOUkBeYeEGG0wV/s3GtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T17:17:43.998694Z"},"content_sha256":"fd2614eadebc325e511aa581765638522a6b7ce7ef5c1a1cbe58be3af8d33231","schema_version":"1.0","event_id":"sha256:fd2614eadebc325e511aa581765638522a6b7ce7ef5c1a1cbe58be3af8d33231"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CEAXKTV2PN3A3Q3TLZ7ODLGLW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"First Law of Mechanics for Compact Binaries on Eccentric Orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alexandre Le Tiec","submitted_at":"2015-06-18T12:22:06Z","abstract_excerpt":"Using the canonical Arnowitt-Deser-Misner Hamiltonian formalism, a \"first law of mechanics\" is established for binary systems of point masses moving along generic stable bound (eccentric) orbits. This relationship is checked to hold within the post-Newtonian approximation to general relativity, up to third (3PN) order. Several applications are discussed, including the use of gravitational self-force results to inform post-Newtonian theory and the effective one-body model for eccentric-orbit compact binaries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05648","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":""},"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":"2026-05-18T01:30:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QzbhMRwnXBCu8OIaPUNkSn34oNapcat6hu6M6F2WnJHEsKZ6kLKdbjBzXCqnknGBtzqDp5AHSkZNTBo98bHQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T17:17:43.999292Z"},"content_sha256":"02185e3acbd42cd62eba8397c4a5130918c448643c66e5dd3499c0309e37b9c2","schema_version":"1.0","event_id":"sha256:02185e3acbd42cd62eba8397c4a5130918c448643c66e5dd3499c0309e37b9c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3/bundle.json","state_url":"https://pith.science/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3/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":"2026-05-20T17:17:44Z","links":{"resolver":"https://pith.science/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3","bundle":"https://pith.science/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3/bundle.json","state":"https://pith.science/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEAXKTV2PN3A3Q3TLZ7ODLGLW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CEAXKTV2PN3A3Q3TLZ7ODLGLW3","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":"98851f73c7522ae012405674e8505217f8cccc1bc17bce4ef5838e2836d73dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-18T12:22:06Z","title_canon_sha256":"16ed91914105e8fbd87d98ee18d249fb923b4c86bd288430ce7f373c7fa9eda5"},"schema_version":"1.0","source":{"id":"1506.05648","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05648","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05648v2","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05648","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"CEAXKTV2PN3A","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CEAXKTV2PN3A3Q3T","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CEAXKTV2","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:02185e3acbd42cd62eba8397c4a5130918c448643c66e5dd3499c0309e37b9c2","target":"graph","created_at":"2026-05-18T01:30:34Z","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":"Using the canonical Arnowitt-Deser-Misner Hamiltonian formalism, a \"first law of mechanics\" is established for binary systems of point masses moving along generic stable bound (eccentric) orbits. This relationship is checked to hold within the post-Newtonian approximation to general relativity, up to third (3PN) order. Several applications are discussed, including the use of gravitational self-force results to inform post-Newtonian theory and the effective one-body model for eccentric-orbit compact binaries.","authors_text":"Alexandre Le Tiec","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-18T12:22:06Z","title":"First Law of Mechanics for Compact Binaries on Eccentric Orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05648","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:fd2614eadebc325e511aa581765638522a6b7ce7ef5c1a1cbe58be3af8d33231","target":"record","created_at":"2026-05-18T01:30:34Z","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":"98851f73c7522ae012405674e8505217f8cccc1bc17bce4ef5838e2836d73dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-18T12:22:06Z","title_canon_sha256":"16ed91914105e8fbd87d98ee18d249fb923b4c86bd288430ce7f373c7fa9eda5"},"schema_version":"1.0","source":{"id":"1506.05648","kind":"arxiv","version":2}},"canonical_sha256":"1101754eba7b760dc3735e7ee1accbb6ffdd7749a59b1c4d448317a502caf900","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1101754eba7b760dc3735e7ee1accbb6ffdd7749a59b1c4d448317a502caf900","first_computed_at":"2026-05-18T01:30:34.384931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:34.384931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2FNMkkYrgOBpkPmVk8cyPjDjjN5NefzDCeHJauZsJgiKFQbAJSva/78dsQiMTFPGR27jRiQuJxnIXsJlxzCWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:34.385764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05648","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd2614eadebc325e511aa581765638522a6b7ce7ef5c1a1cbe58be3af8d33231","sha256:02185e3acbd42cd62eba8397c4a5130918c448643c66e5dd3499c0309e37b9c2"],"state_sha256":"d4e6e5a4f21f40c9ca77d269cb51ca8aa2bf99310c8a0da060e7598f5b8bd5e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yaCBhiDDLbu5Zq583SzwL4fHneiCTFJmFvFTdSj2pxsTSPDxnC5z67RpeiEaqi39X1P12fT/U+jUHmK1vOhSCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T17:17:44.002219Z","bundle_sha256":"af96298a2d9f4f14562391e50a5d08becd0ee8e87dd7d8da839c26a88f9ddc83"}}