{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D3AHC6BAOTPZ7Q6DKFI3CGSAWV","short_pith_number":"pith:D3AHC6BA","canonical_record":{"source":{"id":"1512.01087","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-03T14:22:09Z","cross_cats_sorted":["astro-ph.EP","math-ph","math.MP"],"title_canon_sha256":"ca6cbdf44676eb56db952691aecd62caf68f82aa897f81800e8710af80560e5c","abstract_canon_sha256":"93e5bcdc3c151c199b7ba350e3c83d9354924d116f8a4f557ed3b8781ff2ff2a"},"schema_version":"1.0"},"canonical_sha256":"1ec071782074df9fc3c35151b11a40b57a1e14b0e7f87d701a2a34cfc9a4caee","source":{"kind":"arxiv","id":"1512.01087","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01087","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01087v3","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01087","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"D3AHC6BAOTPZ","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D3AHC6BAOTPZ7Q6D","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D3AHC6BA","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D3AHC6BAOTPZ7Q6DKFI3CGSAWV","target":"record","payload":{"canonical_record":{"source":{"id":"1512.01087","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-03T14:22:09Z","cross_cats_sorted":["astro-ph.EP","math-ph","math.MP"],"title_canon_sha256":"ca6cbdf44676eb56db952691aecd62caf68f82aa897f81800e8710af80560e5c","abstract_canon_sha256":"93e5bcdc3c151c199b7ba350e3c83d9354924d116f8a4f557ed3b8781ff2ff2a"},"schema_version":"1.0"},"canonical_sha256":"1ec071782074df9fc3c35151b11a40b57a1e14b0e7f87d701a2a34cfc9a4caee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:35.033115Z","signature_b64":"lwUAJLTBZ3qaCOzqVF7yvQcw9tMycymoztvo2F41h0AIWEZAg9HzDpCuuaXdTqRe1hR955eMVYaw1pgOKBF7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ec071782074df9fc3c35151b11a40b57a1e14b0e7f87d701a2a34cfc9a4caee","last_reissued_at":"2026-05-18T00:25:35.032390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:35.032390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.01087","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":"2026-05-18T00:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"23TAHMoAW/p4oG7rkn0O36a9nK+PEcCiXPL6rQ+ETBxNyzHCP6Y49K42V21eE6zoeXwz4A4oIKWTBig6OTUTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:24:30.364110Z"},"content_sha256":"c023a346a5df26915ecc6ae924991fd9f19074e5be39ae5d24474d44b13523af","schema_version":"1.0","event_id":"sha256:c023a346a5df26915ecc6ae924991fd9f19074e5be39ae5d24474d44b13523af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D3AHC6BAOTPZ7Q6DKFI3CGSAWV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonchaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Hideki Asada, Kei Yamada","submitted_at":"2015-12-03T14:22:09Z","abstract_excerpt":"Continuing work initiated in an earlier publication [H. Asada, Phys. Rev. D {\\bf 80}, 064021 (2009)], the gravitational radiation reaction to Lagrange's equilateral triangular solution of the three-body problem is investigated in an analytic method. The previous work is based on the energy balance argument, which is sufficient for a two-body system because the number of degrees of freedom (the semimajor axis and the eccentricity in quasi-Keplerian cases, for instance) equals that of the constants of motion such as the total energy and the orbital angular momentum. In a system with three (or mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01087","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":""},"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":"2026-05-18T00:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bwWzxwNrMwfR8TwbVHBC5B4gKrdwpyLFwZ39w+8CkYNk1oy4kinCzYJsCha0E2ZWvCI452sBWaL0/r2F5lhSBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:24:30.364496Z"},"content_sha256":"0cb4e186668cb88b6a4a1e30f9a996adf4df4f5a3ae773051fa60440304a4e8d","schema_version":"1.0","event_id":"sha256:0cb4e186668cb88b6a4a1e30f9a996adf4df4f5a3ae773051fa60440304a4e8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV/bundle.json","state_url":"https://pith.science/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV/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":"2026-05-23T05:24:30Z","links":{"resolver":"https://pith.science/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV","bundle":"https://pith.science/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV/bundle.json","state":"https://pith.science/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D3AHC6BAOTPZ7Q6DKFI3CGSAWV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D3AHC6BAOTPZ7Q6DKFI3CGSAWV","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":"93e5bcdc3c151c199b7ba350e3c83d9354924d116f8a4f557ed3b8781ff2ff2a","cross_cats_sorted":["astro-ph.EP","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-03T14:22:09Z","title_canon_sha256":"ca6cbdf44676eb56db952691aecd62caf68f82aa897f81800e8710af80560e5c"},"schema_version":"1.0","source":{"id":"1512.01087","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01087","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01087v3","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01087","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"D3AHC6BAOTPZ","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D3AHC6BAOTPZ7Q6D","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D3AHC6BA","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:0cb4e186668cb88b6a4a1e30f9a996adf4df4f5a3ae773051fa60440304a4e8d","target":"graph","created_at":"2026-05-18T00:25:35Z","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":"Continuing work initiated in an earlier publication [H. Asada, Phys. Rev. D {\\bf 80}, 064021 (2009)], the gravitational radiation reaction to Lagrange's equilateral triangular solution of the three-body problem is investigated in an analytic method. The previous work is based on the energy balance argument, which is sufficient for a two-body system because the number of degrees of freedom (the semimajor axis and the eccentricity in quasi-Keplerian cases, for instance) equals that of the constants of motion such as the total energy and the orbital angular momentum. In a system with three (or mo","authors_text":"Hideki Asada, Kei Yamada","cross_cats":["astro-ph.EP","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-03T14:22:09Z","title":"Nonchaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01087","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:c023a346a5df26915ecc6ae924991fd9f19074e5be39ae5d24474d44b13523af","target":"record","created_at":"2026-05-18T00:25:35Z","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":"93e5bcdc3c151c199b7ba350e3c83d9354924d116f8a4f557ed3b8781ff2ff2a","cross_cats_sorted":["astro-ph.EP","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-03T14:22:09Z","title_canon_sha256":"ca6cbdf44676eb56db952691aecd62caf68f82aa897f81800e8710af80560e5c"},"schema_version":"1.0","source":{"id":"1512.01087","kind":"arxiv","version":3}},"canonical_sha256":"1ec071782074df9fc3c35151b11a40b57a1e14b0e7f87d701a2a34cfc9a4caee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ec071782074df9fc3c35151b11a40b57a1e14b0e7f87d701a2a34cfc9a4caee","first_computed_at":"2026-05-18T00:25:35.032390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:35.032390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lwUAJLTBZ3qaCOzqVF7yvQcw9tMycymoztvo2F41h0AIWEZAg9HzDpCuuaXdTqRe1hR955eMVYaw1pgOKBF7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:35.033115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01087","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c023a346a5df26915ecc6ae924991fd9f19074e5be39ae5d24474d44b13523af","sha256:0cb4e186668cb88b6a4a1e30f9a996adf4df4f5a3ae773051fa60440304a4e8d"],"state_sha256":"e9ac7bdfa77c83eac8b0ed5cdbe2d6182ee5c3670fc1957c390a3b00d8964237"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YXB/gMod1kfQHu8Mq5hg1P3WTSE50p2Ij8ISDwmZluWgY9OsAEJU1lFTAafAapPeGrB6tTje7pE3xM7kSmMbAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T05:24:30.367020Z","bundle_sha256":"57861a42c2fd7ae3415e171604698db8082a848c622e051324a16de7225914a6"}}