{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:TEN5CYVS4J45SAJQ6V3NHYE4RD","short_pith_number":"pith:TEN5CYVS","schema_version":"1.0","canonical_sha256":"991bd162b2e279d90130f576d3e09c88ca749ea85902ecd89b858736fac2be80","source":{"kind":"arxiv","id":"2606.17280","version":1},"attestation_state":"computed","paper":{"title":"Optimal Powered Descent Guidance with Pyramid-Shaped Approach-Angle Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Revital Frenkel, Vitaly Shaferman","submitted_at":"2026-06-15T20:42:17Z","abstract_excerpt":"In this paper, a novel optimal soft-landing guidance law with inequality approach-angle path constraints is analytically derived. The proposed guidance law prevents ground collision and enables approach-angle control by constraining the optimal trajectory to remain within a convex inverted pyramid originating at the landing point. A 3D point-mass linear kinematic model in a constant gravitational field is employed, together with a quadratic control-effort cost and terminal constraints on position and velocity. Analytical open-loop and closed-loop solutions, together with the optimal final time"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.17280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2026-06-15T20:42:17Z","cross_cats_sorted":["cs.SY","math.OC"],"title_canon_sha256":"c95426aeea7f18e81c134527a56650f51670387f79e02495d6c49b5a7a13116a","abstract_canon_sha256":"74f441dd88ad28c6c61a4b3724db67a149e0cf0494194b25d9d923039a7a72ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:07.984288Z","signature_b64":"iNrxg2PsezYaxpUVwx8ypXCreSi8KMzsIRfb4WNm5dSDMr3LRXoTnhJKNIxyZb3OKcg/u5d44v0DlBzOS1TIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"991bd162b2e279d90130f576d3e09c88ca749ea85902ecd89b858736fac2be80","last_reissued_at":"2026-06-19T16:10:07.983888Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:07.983888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Powered Descent Guidance with Pyramid-Shaped Approach-Angle Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Revital Frenkel, Vitaly Shaferman","submitted_at":"2026-06-15T20:42:17Z","abstract_excerpt":"In this paper, a novel optimal soft-landing guidance law with inequality approach-angle path constraints is analytically derived. The proposed guidance law prevents ground collision and enables approach-angle control by constraining the optimal trajectory to remain within a convex inverted pyramid originating at the landing point. A 3D point-mass linear kinematic model in a constant gravitational field is employed, together with a quadratic control-effort cost and terminal constraints on position and velocity. Analytical open-loop and closed-loop solutions, together with the optimal final time"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17280","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.17280/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.17280","created_at":"2026-06-19T16:10:07.983946+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.17280v1","created_at":"2026-06-19T16:10:07.983946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17280","created_at":"2026-06-19T16:10:07.983946+00:00"},{"alias_kind":"pith_short_12","alias_value":"TEN5CYVS4J45","created_at":"2026-06-19T16:10:07.983946+00:00"},{"alias_kind":"pith_short_16","alias_value":"TEN5CYVS4J45SAJQ","created_at":"2026-06-19T16:10:07.983946+00:00"},{"alias_kind":"pith_short_8","alias_value":"TEN5CYVS","created_at":"2026-06-19T16:10:07.983946+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD","json":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD.json","graph_json":"https://pith.science/api/pith-number/TEN5CYVS4J45SAJQ6V3NHYE4RD/graph.json","events_json":"https://pith.science/api/pith-number/TEN5CYVS4J45SAJQ6V3NHYE4RD/events.json","paper":"https://pith.science/paper/TEN5CYVS"},"agent_actions":{"view_html":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD","download_json":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD.json","view_paper":"https://pith.science/paper/TEN5CYVS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.17280&json=true","fetch_graph":"https://pith.science/api/pith-number/TEN5CYVS4J45SAJQ6V3NHYE4RD/graph.json","fetch_events":"https://pith.science/api/pith-number/TEN5CYVS4J45SAJQ6V3NHYE4RD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD/action/storage_attestation","attest_author":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD/action/author_attestation","sign_citation":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD/action/citation_signature","submit_replication":"https://pith.science/pith/TEN5CYVS4J45SAJQ6V3NHYE4RD/action/replication_record"}},"created_at":"2026-06-19T16:10:07.983946+00:00","updated_at":"2026-06-19T16:10:07.983946+00:00"}