{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SFIT56C6LUSCGIQG3YY4GKBZ3L","short_pith_number":"pith:SFIT56C6","canonical_record":{"source":{"id":"1510.02695","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2015-10-09T15:07:25Z","cross_cats_sorted":[],"title_canon_sha256":"84d9ae2c2800a944d7ee5d253f01e0e220ee5ce584d64b5dda9abcb0aea78e62","abstract_canon_sha256":"a832f512005dd4650ee2a2b60f231b6b52b2748c9cf5fe915c8a4a56ebdb2e93"},"schema_version":"1.0"},"canonical_sha256":"91513ef85e5d24232206de31c32839dae95999d4e97f298be553e09c73d145aa","source":{"kind":"arxiv","id":"1510.02695","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02695","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02695v1","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02695","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"SFIT56C6LUSC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SFIT56C6LUSCGIQG","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SFIT56C6","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SFIT56C6LUSCGIQG3YY4GKBZ3L","target":"record","payload":{"canonical_record":{"source":{"id":"1510.02695","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2015-10-09T15:07:25Z","cross_cats_sorted":[],"title_canon_sha256":"84d9ae2c2800a944d7ee5d253f01e0e220ee5ce584d64b5dda9abcb0aea78e62","abstract_canon_sha256":"a832f512005dd4650ee2a2b60f231b6b52b2748c9cf5fe915c8a4a56ebdb2e93"},"schema_version":"1.0"},"canonical_sha256":"91513ef85e5d24232206de31c32839dae95999d4e97f298be553e09c73d145aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:41.697404Z","signature_b64":"oCzpbZmgUmMLv6lerYZuQNX9rdtC5Q0taxb6Dxk8BHPwgId6e2o7JQRz+wIMVSNcHseilYBCCyYKDlisubR6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91513ef85e5d24232206de31c32839dae95999d4e97f298be553e09c73d145aa","last_reissued_at":"2026-05-18T01:30:41.696747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:41.696747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.02695","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":"2026-05-18T01:30:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FRaXK6pM47XeTldWL9xOidVB/fCD2cPzixFWmEDOXzUTzYCIhBgLp/bCd4e5gFniZ6OYItQQuNeEFaiPoNVoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:34:25.051185Z"},"content_sha256":"6e146a4c03556974c370848adb86031d833e95734aa1b9c8f1a2537288545d50","schema_version":"1.0","event_id":"sha256:6e146a4c03556974c370848adb86031d833e95734aa1b9c8f1a2537288545d50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SFIT56C6LUSCGIQG3YY4GKBZ3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Systematic Design of Optimal Low-Thrust Transfers for the Three-Body Problem","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Shankar Kulumani, Taeyoung Lee","submitted_at":"2015-10-09T15:07:25Z","abstract_excerpt":"A computational approach is developed for the design of continuous low thrust transfers in the planar circular restricted three-body problem. The transfer design method of invariant manifolds is extended with the addition of continuous low thrust propulsion. A reachable region is generated and it is used to determine transfer opportunities, analogous to the intersection of invariant manifolds. The reachable set is developed on a lower dimensional Poincare section and used to design transfer trajectories. This is solved numerically as a discrete optimal control problem using a variational integ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02695","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":"2026-05-18T01:30:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O7jV3aRgfQ6uZ2A7JIRtnQfDPr6EEqxnGI+gJTdd/s7c68f6arjTjBs4tJ+1rLmGzlUJBUoORGe3lo14XMHtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:34:25.051542Z"},"content_sha256":"7e097359ac55cebc4ad610855ef3ec8a3a95bc7578f94441806076df1fe0d160","schema_version":"1.0","event_id":"sha256:7e097359ac55cebc4ad610855ef3ec8a3a95bc7578f94441806076df1fe0d160"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L/bundle.json","state_url":"https://pith.science/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L/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":"2026-05-28T08:34:25Z","links":{"resolver":"https://pith.science/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L","bundle":"https://pith.science/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L/bundle.json","state":"https://pith.science/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SFIT56C6LUSCGIQG3YY4GKBZ3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SFIT56C6LUSCGIQG3YY4GKBZ3L","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":"a832f512005dd4650ee2a2b60f231b6b52b2748c9cf5fe915c8a4a56ebdb2e93","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2015-10-09T15:07:25Z","title_canon_sha256":"84d9ae2c2800a944d7ee5d253f01e0e220ee5ce584d64b5dda9abcb0aea78e62"},"schema_version":"1.0","source":{"id":"1510.02695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02695","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02695v1","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02695","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"SFIT56C6LUSC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SFIT56C6LUSCGIQG","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SFIT56C6","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:7e097359ac55cebc4ad610855ef3ec8a3a95bc7578f94441806076df1fe0d160","target":"graph","created_at":"2026-05-18T01:30:41Z","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":"A computational approach is developed for the design of continuous low thrust transfers in the planar circular restricted three-body problem. The transfer design method of invariant manifolds is extended with the addition of continuous low thrust propulsion. A reachable region is generated and it is used to determine transfer opportunities, analogous to the intersection of invariant manifolds. The reachable set is developed on a lower dimensional Poincare section and used to design transfer trajectories. This is solved numerically as a discrete optimal control problem using a variational integ","authors_text":"Shankar Kulumani, Taeyoung Lee","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2015-10-09T15:07:25Z","title":"Systematic Design of Optimal Low-Thrust Transfers for the Three-Body Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02695","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":"sha256:6e146a4c03556974c370848adb86031d833e95734aa1b9c8f1a2537288545d50","target":"record","created_at":"2026-05-18T01:30:41Z","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":"a832f512005dd4650ee2a2b60f231b6b52b2748c9cf5fe915c8a4a56ebdb2e93","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2015-10-09T15:07:25Z","title_canon_sha256":"84d9ae2c2800a944d7ee5d253f01e0e220ee5ce584d64b5dda9abcb0aea78e62"},"schema_version":"1.0","source":{"id":"1510.02695","kind":"arxiv","version":1}},"canonical_sha256":"91513ef85e5d24232206de31c32839dae95999d4e97f298be553e09c73d145aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91513ef85e5d24232206de31c32839dae95999d4e97f298be553e09c73d145aa","first_computed_at":"2026-05-18T01:30:41.696747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:41.696747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oCzpbZmgUmMLv6lerYZuQNX9rdtC5Q0taxb6Dxk8BHPwgId6e2o7JQRz+wIMVSNcHseilYBCCyYKDlisubR6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:41.697404Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e146a4c03556974c370848adb86031d833e95734aa1b9c8f1a2537288545d50","sha256:7e097359ac55cebc4ad610855ef3ec8a3a95bc7578f94441806076df1fe0d160"],"state_sha256":"151b296a54f195bd567fe1525e2b6c90c9d631d8f575f3248125e874c30c22eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z4RhVYCEKeY4iYBIkxtoP0Rwhcc+lXSyg/4NI751VD8bX1GDGqT0ZaTCfAFzkFp2NBI03YvfTkTXqWAOfTSOAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:34:25.054149Z","bundle_sha256":"6e50fb4a81cc2163f6c9148478f5863987e20c13d8b52fb2340b157ac1a138b5"}}