{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FRF6CLZXFBZBONPPHYTLMR2C6B","short_pith_number":"pith:FRF6CLZX","canonical_record":{"source":{"id":"1810.11684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-10-27T17:39:50Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"e5f3df071646cb4abe9e0eb0fa147e64d9e5fb14904e9c5cf5b6fd8d061161e8","abstract_canon_sha256":"bdf59522ecc5745f20c446175e9f17a567c5039bdb9a2403df5f6d2fe7572805"},"schema_version":"1.0"},"canonical_sha256":"2c4be12f3728721735ef3e26b64742f06d4cafc76c88f2174a020000188477a9","source":{"kind":"arxiv","id":"1810.11684","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11684","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11684v1","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11684","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"FRF6CLZXFBZB","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FRF6CLZXFBZBONPP","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FRF6CLZX","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FRF6CLZXFBZBONPPHYTLMR2C6B","target":"record","payload":{"canonical_record":{"source":{"id":"1810.11684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-10-27T17:39:50Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"e5f3df071646cb4abe9e0eb0fa147e64d9e5fb14904e9c5cf5b6fd8d061161e8","abstract_canon_sha256":"bdf59522ecc5745f20c446175e9f17a567c5039bdb9a2403df5f6d2fe7572805"},"schema_version":"1.0"},"canonical_sha256":"2c4be12f3728721735ef3e26b64742f06d4cafc76c88f2174a020000188477a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:07.754715Z","signature_b64":"xLgrltSFX9sM1tORWCGP7kEmnJtgH6fpZjXOKH/ESISploNGsylRQ0VLWOpDFiJHGdZBBYLcDQGYJTT6GHzTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c4be12f3728721735ef3e26b64742f06d4cafc76c88f2174a020000188477a9","last_reissued_at":"2026-05-18T00:02:07.753974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:07.753974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.11684","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":"2026-05-18T00:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AepLEahGLHoO7Zvf6IH2bCqfA8fdI+Ma2pcUNvwNBdG0mYhnop4+TABka4zvPoE+C5QV+jjyRzwE21dbiHgeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:10:44.273561Z"},"content_sha256":"33ef7792b2c8e9368841fd9f7b4df0e1f4e2682103a7b2324d3bb795e43b9a0e","schema_version":"1.0","event_id":"sha256:33ef7792b2c8e9368841fd9f7b4df0e1f4e2682103a7b2324d3bb795e43b9a0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FRF6CLZXFBZBONPPHYTLMR2C6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Element sets for high-order Poincar\\'e mapping of perturbed Keplerian motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP"],"primary_cat":"math.DS","authors_text":"David J. Gondelach, Roberto Armellin","submitted_at":"2018-10-27T17:39:50Z","abstract_excerpt":"The propagation and Poincar\\'e mapping of perturbed Keplerian motion is a key topic in celestial mechanics and astrodynamics, e.g. to study the stability of orbits or design bounded relative trajectories. The high-order transfer map (HOTM) method enables efficient mapping of perturbed Keplerian orbits over many revolutions. For this, the method uses the high-order Taylor expansion of a Poincar\\'e or stroboscopic map, which is accurate close to the expansion point. In this paper, we investigate the performance of the HOTM method using different element sets for building the high-order map. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11684","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":"2026-05-18T00:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tlwXfMBDNG2Wh9RJ0BA850yU/AeMwLwEDZnSlYa7xa9hJ2sMQ1iTb47ji41BEIvN96vrL5aI2DlJ1Iwi+tG8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:10:44.273911Z"},"content_sha256":"370b3e7811271a73b14294869cac39ada78c21161f8fd1b9bad1cd05431293b3","schema_version":"1.0","event_id":"sha256:370b3e7811271a73b14294869cac39ada78c21161f8fd1b9bad1cd05431293b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRF6CLZXFBZBONPPHYTLMR2C6B/bundle.json","state_url":"https://pith.science/pith/FRF6CLZXFBZBONPPHYTLMR2C6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRF6CLZXFBZBONPPHYTLMR2C6B/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":"2026-05-30T13:10:44Z","links":{"resolver":"https://pith.science/pith/FRF6CLZXFBZBONPPHYTLMR2C6B","bundle":"https://pith.science/pith/FRF6CLZXFBZBONPPHYTLMR2C6B/bundle.json","state":"https://pith.science/pith/FRF6CLZXFBZBONPPHYTLMR2C6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRF6CLZXFBZBONPPHYTLMR2C6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FRF6CLZXFBZBONPPHYTLMR2C6B","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":"bdf59522ecc5745f20c446175e9f17a567c5039bdb9a2403df5f6d2fe7572805","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-10-27T17:39:50Z","title_canon_sha256":"e5f3df071646cb4abe9e0eb0fa147e64d9e5fb14904e9c5cf5b6fd8d061161e8"},"schema_version":"1.0","source":{"id":"1810.11684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11684","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11684v1","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11684","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"FRF6CLZXFBZB","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FRF6CLZXFBZBONPP","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FRF6CLZX","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:370b3e7811271a73b14294869cac39ada78c21161f8fd1b9bad1cd05431293b3","target":"graph","created_at":"2026-05-18T00:02:07Z","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 propagation and Poincar\\'e mapping of perturbed Keplerian motion is a key topic in celestial mechanics and astrodynamics, e.g. to study the stability of orbits or design bounded relative trajectories. The high-order transfer map (HOTM) method enables efficient mapping of perturbed Keplerian orbits over many revolutions. For this, the method uses the high-order Taylor expansion of a Poincar\\'e or stroboscopic map, which is accurate close to the expansion point. In this paper, we investigate the performance of the HOTM method using different element sets for building the high-order map. The ","authors_text":"David J. Gondelach, Roberto Armellin","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-10-27T17:39:50Z","title":"Element sets for high-order Poincar\\'e mapping of perturbed Keplerian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11684","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":"sha256:33ef7792b2c8e9368841fd9f7b4df0e1f4e2682103a7b2324d3bb795e43b9a0e","target":"record","created_at":"2026-05-18T00:02:07Z","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":"bdf59522ecc5745f20c446175e9f17a567c5039bdb9a2403df5f6d2fe7572805","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-10-27T17:39:50Z","title_canon_sha256":"e5f3df071646cb4abe9e0eb0fa147e64d9e5fb14904e9c5cf5b6fd8d061161e8"},"schema_version":"1.0","source":{"id":"1810.11684","kind":"arxiv","version":1}},"canonical_sha256":"2c4be12f3728721735ef3e26b64742f06d4cafc76c88f2174a020000188477a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c4be12f3728721735ef3e26b64742f06d4cafc76c88f2174a020000188477a9","first_computed_at":"2026-05-18T00:02:07.753974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:07.753974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xLgrltSFX9sM1tORWCGP7kEmnJtgH6fpZjXOKH/ESISploNGsylRQ0VLWOpDFiJHGdZBBYLcDQGYJTT6GHzTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:07.754715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.11684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33ef7792b2c8e9368841fd9f7b4df0e1f4e2682103a7b2324d3bb795e43b9a0e","sha256:370b3e7811271a73b14294869cac39ada78c21161f8fd1b9bad1cd05431293b3"],"state_sha256":"d63f0a9990c42c1e322e3def6a8cf79a80d79ac0df54155184e3ee06677c12e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hrVUnI5MR6+8ixC+ldsGWqpQcShh3rlTfd19rEVawdBVpjl518Fr7/NlLpCUxIgxOk8r6c2Dj83bQGu691VBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:10:44.276186Z","bundle_sha256":"c1b33f36b400cf73c6d5585813843adc740d42b7d5722d2e30287c1db08abe31"}}