{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IOBWPIJUTZ62Q57TPIQJKBQL56","short_pith_number":"pith:IOBWPIJU","canonical_record":{"source":{"id":"2601.16003","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-01-22T14:28:37Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"5cc05da2e8eb4abd0bf23a6cdb5231c7bab58ab5e50129a2e87ec17aaa61d193","abstract_canon_sha256":"9606baa0f3da94e92e2689a1fca02b38f2981a87c0939ebd11f5ec6d69f12e84"},"schema_version":"1.0"},"canonical_sha256":"438367a1349e7da877f37a2095060bef92c41b31b4be3103384f2d7fc4c6baaa","source":{"kind":"arxiv","id":"2601.16003","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.16003","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2601.16003v3","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.16003","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"IOBWPIJUTZ62","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"IOBWPIJUTZ62Q57T","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"IOBWPIJU","created_at":"2026-05-27T01:04:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IOBWPIJUTZ62Q57TPIQJKBQL56","target":"record","payload":{"canonical_record":{"source":{"id":"2601.16003","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-01-22T14:28:37Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"5cc05da2e8eb4abd0bf23a6cdb5231c7bab58ab5e50129a2e87ec17aaa61d193","abstract_canon_sha256":"9606baa0f3da94e92e2689a1fca02b38f2981a87c0939ebd11f5ec6d69f12e84"},"schema_version":"1.0"},"canonical_sha256":"438367a1349e7da877f37a2095060bef92c41b31b4be3103384f2d7fc4c6baaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:04:55.244795Z","signature_b64":"FjuCb45FlnAGyfdDqVkKl6B3hZgrQDWq1uu5/iM8QGPcYjsaH3J1LiygiXYIIiA/IFnHjWfXaVpL16U4lknYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"438367a1349e7da877f37a2095060bef92c41b31b4be3103384f2d7fc4c6baaa","last_reissued_at":"2026-05-27T01:04:55.244179Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:04:55.244179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.16003","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":"2026-05-27T01:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gxuCtpJiNE3++W43gnJWi8FzqffC8V2yRsFkAzTVy0HPPBu5SfAScR+/ivsrpUETAwMp98h0ao5T4zjw5gbqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:37:36.197443Z"},"content_sha256":"ca2677805637d60a07d42100ace8aa506f0a73963e9622ff9efa11462f76921d","schema_version":"1.0","event_id":"sha256:ca2677805637d60a07d42100ace8aa506f0a73963e9622ff9efa11462f76921d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IOBWPIJUTZ62Q57TPIQJKBQL56","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-Optimal Switching Surfaces for Triple Integrator under Full Box Constraints","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Chuxiong Hu, Yunan Wang, Zhao Jin","submitted_at":"2026-01-22T14:28:37Z","abstract_excerpt":"Time-optimal control for triple integrator under full box constraints is a fundamental problem in the field of optimal control, which has been widely applied in the industry. However, scenarios involving asymmetric constraints, non-stationary boundary conditions, and active position constraints pose significant challenges. This paper provides a complete characterization of time-optimal switching surfaces for the problem, leading to novel insights into the geometric structure of the optimal control. The active condition of position constraints is derived, which is absent from the literature. An"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.16003","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.16003/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-27T01:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SX+rvPHAtz7e0Kz7U+2Ltof2MxGnjXGuQR6ZXIQlk8f4VDP7YfUCJshLBBPcqF5FM4R0fN3+/5llBWsQpL+dAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:37:36.197844Z"},"content_sha256":"9deaa677e21b46f688bb5f310cdb62444decce0aee421dc681231ae3f8f35e7e","schema_version":"1.0","event_id":"sha256:9deaa677e21b46f688bb5f310cdb62444decce0aee421dc681231ae3f8f35e7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOBWPIJUTZ62Q57TPIQJKBQL56/bundle.json","state_url":"https://pith.science/pith/IOBWPIJUTZ62Q57TPIQJKBQL56/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOBWPIJUTZ62Q57TPIQJKBQL56/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":"2026-07-04T10:37:36Z","links":{"resolver":"https://pith.science/pith/IOBWPIJUTZ62Q57TPIQJKBQL56","bundle":"https://pith.science/pith/IOBWPIJUTZ62Q57TPIQJKBQL56/bundle.json","state":"https://pith.science/pith/IOBWPIJUTZ62Q57TPIQJKBQL56/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOBWPIJUTZ62Q57TPIQJKBQL56/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IOBWPIJUTZ62Q57TPIQJKBQL56","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":"9606baa0f3da94e92e2689a1fca02b38f2981a87c0939ebd11f5ec6d69f12e84","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-01-22T14:28:37Z","title_canon_sha256":"5cc05da2e8eb4abd0bf23a6cdb5231c7bab58ab5e50129a2e87ec17aaa61d193"},"schema_version":"1.0","source":{"id":"2601.16003","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.16003","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2601.16003v3","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.16003","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"IOBWPIJUTZ62","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"IOBWPIJUTZ62Q57T","created_at":"2026-05-27T01:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"IOBWPIJU","created_at":"2026-05-27T01:04:55Z"}],"graph_snapshots":[{"event_id":"sha256:9deaa677e21b46f688bb5f310cdb62444decce0aee421dc681231ae3f8f35e7e","target":"graph","created_at":"2026-05-27T01:04:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2601.16003/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time-optimal control for triple integrator under full box constraints is a fundamental problem in the field of optimal control, which has been widely applied in the industry. However, scenarios involving asymmetric constraints, non-stationary boundary conditions, and active position constraints pose significant challenges. This paper provides a complete characterization of time-optimal switching surfaces for the problem, leading to novel insights into the geometric structure of the optimal control. The active condition of position constraints is derived, which is absent from the literature. An","authors_text":"Chuxiong Hu, Yunan Wang, Zhao Jin","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-01-22T14:28:37Z","title":"Time-Optimal Switching Surfaces for Triple Integrator under Full Box Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.16003","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:ca2677805637d60a07d42100ace8aa506f0a73963e9622ff9efa11462f76921d","target":"record","created_at":"2026-05-27T01:04:55Z","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":"9606baa0f3da94e92e2689a1fca02b38f2981a87c0939ebd11f5ec6d69f12e84","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-01-22T14:28:37Z","title_canon_sha256":"5cc05da2e8eb4abd0bf23a6cdb5231c7bab58ab5e50129a2e87ec17aaa61d193"},"schema_version":"1.0","source":{"id":"2601.16003","kind":"arxiv","version":3}},"canonical_sha256":"438367a1349e7da877f37a2095060bef92c41b31b4be3103384f2d7fc4c6baaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"438367a1349e7da877f37a2095060bef92c41b31b4be3103384f2d7fc4c6baaa","first_computed_at":"2026-05-27T01:04:55.244179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T01:04:55.244179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FjuCb45FlnAGyfdDqVkKl6B3hZgrQDWq1uu5/iM8QGPcYjsaH3J1LiygiXYIIiA/IFnHjWfXaVpL16U4lknYCA==","signature_status":"signed_v1","signed_at":"2026-05-27T01:04:55.244795Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.16003","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca2677805637d60a07d42100ace8aa506f0a73963e9622ff9efa11462f76921d","sha256:9deaa677e21b46f688bb5f310cdb62444decce0aee421dc681231ae3f8f35e7e"],"state_sha256":"6b407c8d0c1a6baaba8dbf4d3b88346610a95fa641db926044dc3931a5127e72"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T1tQBFbg3Sri7dlz7Gyv388NKr7kswqYOq5xDcqZiSj0EnFgq7fWEEpHDVehdnk7O8bFeaP9+ep6Gd7CwrFDDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T10:37:36.200000Z","bundle_sha256":"d41177598d3338b5a66e517aff83de60d6de461980c4e013b1169b627fb272fc"}}