{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GN2IJOSFKHLB7NB4ODDP46MMFT","short_pith_number":"pith:GN2IJOSF","canonical_record":{"source":{"id":"1601.01019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T23:51:27Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"f4261aa32de746e1fe23173ffd2da48b1aeeb3373cb1ad2d99a057d9f0dec603","abstract_canon_sha256":"8eb9a7ccc6b4774efbdce1e1212678913fd3dd2abac94177eaabb67dcb0a828b"},"schema_version":"1.0"},"canonical_sha256":"337484ba4551d61fb43c70c6fe798c2cfed339cf8580b0a5551e87e5f9a33613","source":{"kind":"arxiv","id":"1601.01019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01019","created_at":"2026-05-18T01:23:18Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01019v1","created_at":"2026-05-18T01:23:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01019","created_at":"2026-05-18T01:23:18Z"},{"alias_kind":"pith_short_12","alias_value":"GN2IJOSFKHLB","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GN2IJOSFKHLB7NB4","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GN2IJOSF","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GN2IJOSFKHLB7NB4ODDP46MMFT","target":"record","payload":{"canonical_record":{"source":{"id":"1601.01019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T23:51:27Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"f4261aa32de746e1fe23173ffd2da48b1aeeb3373cb1ad2d99a057d9f0dec603","abstract_canon_sha256":"8eb9a7ccc6b4774efbdce1e1212678913fd3dd2abac94177eaabb67dcb0a828b"},"schema_version":"1.0"},"canonical_sha256":"337484ba4551d61fb43c70c6fe798c2cfed339cf8580b0a5551e87e5f9a33613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:18.218308Z","signature_b64":"9jT92Ggjb030Sj7mMIyfWhUiWHVCTYA6FwzgicLdRJ5VkaA13mWWYdXEYzqb/c7TejLEZkZSQh5fdR2KA5oSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"337484ba4551d61fb43c70c6fe798c2cfed339cf8580b0a5551e87e5f9a33613","last_reissued_at":"2026-05-18T01:23:18.217650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:18.217650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.01019","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":"2026-05-18T01:23:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x81zLTC7vW6VAL/ZjP6e8xztaFetNh7oozGU+jc0ZSjXhTd6hwpxA1LSF8Og0GxgyzPgWFmjP9awu7zK7iTsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:09:13.826022Z"},"content_sha256":"fb17486273bee80c6dc30ea5192f8900c3fe8740ce3da35115b7b895f8bd583a","schema_version":"1.0","event_id":"sha256:fb17486273bee80c6dc30ea5192f8900c3fe8740ce3da35115b7b895f8bd583a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GN2IJOSFKHLB7NB4ODDP46MMFT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convex Computation of the Reachable Set for Hybrid Systems with Parametric Uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Ram Vasudevan, Shankar Mohan, Victor Shia","submitted_at":"2016-01-05T23:51:27Z","abstract_excerpt":"To verify the correct operation of systems, engineers need to determine the set of configurations of a dynamical model that are able to safely reach a specified configuration under a control law. Unfortunately, constructing models for systems interacting in highly dynamic environments is difficult. This paper addresses this challenge by presenting a convex optimization method to efficiently compute the set of configurations of a polynomial hybrid dynamical system that are able to safely reach a user defined target set despite parametric uncertainty in the model. This class of models describes,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01019","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":"2026-05-18T01:23:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"94v4A1XDZ5PY0jWvNgSpiUHr0NuJCCzWgQd5JDLVTmBR4AuUididOneVInFg6pyqx712482aUUu2byVetxd5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:09:13.826742Z"},"content_sha256":"d84685a093e3b4ccce4d9a0427dfc21b8f221d9cec4f045bfe24015adf0fd5af","schema_version":"1.0","event_id":"sha256:d84685a093e3b4ccce4d9a0427dfc21b8f221d9cec4f045bfe24015adf0fd5af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GN2IJOSFKHLB7NB4ODDP46MMFT/bundle.json","state_url":"https://pith.science/pith/GN2IJOSFKHLB7NB4ODDP46MMFT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GN2IJOSFKHLB7NB4ODDP46MMFT/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":"2026-06-05T07:09:13Z","links":{"resolver":"https://pith.science/pith/GN2IJOSFKHLB7NB4ODDP46MMFT","bundle":"https://pith.science/pith/GN2IJOSFKHLB7NB4ODDP46MMFT/bundle.json","state":"https://pith.science/pith/GN2IJOSFKHLB7NB4ODDP46MMFT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GN2IJOSFKHLB7NB4ODDP46MMFT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GN2IJOSFKHLB7NB4ODDP46MMFT","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":"8eb9a7ccc6b4774efbdce1e1212678913fd3dd2abac94177eaabb67dcb0a828b","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T23:51:27Z","title_canon_sha256":"f4261aa32de746e1fe23173ffd2da48b1aeeb3373cb1ad2d99a057d9f0dec603"},"schema_version":"1.0","source":{"id":"1601.01019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01019","created_at":"2026-05-18T01:23:18Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01019v1","created_at":"2026-05-18T01:23:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01019","created_at":"2026-05-18T01:23:18Z"},{"alias_kind":"pith_short_12","alias_value":"GN2IJOSFKHLB","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GN2IJOSFKHLB7NB4","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GN2IJOSF","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:d84685a093e3b4ccce4d9a0427dfc21b8f221d9cec4f045bfe24015adf0fd5af","target":"graph","created_at":"2026-05-18T01:23:18Z","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":"To verify the correct operation of systems, engineers need to determine the set of configurations of a dynamical model that are able to safely reach a specified configuration under a control law. Unfortunately, constructing models for systems interacting in highly dynamic environments is difficult. This paper addresses this challenge by presenting a convex optimization method to efficiently compute the set of configurations of a polynomial hybrid dynamical system that are able to safely reach a user defined target set despite parametric uncertainty in the model. This class of models describes,","authors_text":"Ram Vasudevan, Shankar Mohan, Victor Shia","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T23:51:27Z","title":"Convex Computation of the Reachable Set for Hybrid Systems with Parametric Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01019","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:fb17486273bee80c6dc30ea5192f8900c3fe8740ce3da35115b7b895f8bd583a","target":"record","created_at":"2026-05-18T01:23:18Z","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":"8eb9a7ccc6b4774efbdce1e1212678913fd3dd2abac94177eaabb67dcb0a828b","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T23:51:27Z","title_canon_sha256":"f4261aa32de746e1fe23173ffd2da48b1aeeb3373cb1ad2d99a057d9f0dec603"},"schema_version":"1.0","source":{"id":"1601.01019","kind":"arxiv","version":1}},"canonical_sha256":"337484ba4551d61fb43c70c6fe798c2cfed339cf8580b0a5551e87e5f9a33613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"337484ba4551d61fb43c70c6fe798c2cfed339cf8580b0a5551e87e5f9a33613","first_computed_at":"2026-05-18T01:23:18.217650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:18.217650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9jT92Ggjb030Sj7mMIyfWhUiWHVCTYA6FwzgicLdRJ5VkaA13mWWYdXEYzqb/c7TejLEZkZSQh5fdR2KA5oSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:18.218308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb17486273bee80c6dc30ea5192f8900c3fe8740ce3da35115b7b895f8bd583a","sha256:d84685a093e3b4ccce4d9a0427dfc21b8f221d9cec4f045bfe24015adf0fd5af"],"state_sha256":"badb16e3b83720b044a2f502d63c43e5fec30987c8912c8c55d6b894b328514d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o6dw/RoQpAnRLL//7tPoV5IHbOpplAPaOsq0BfTtrcN9BiOnDJIcfRCG6rCJ70pm8kK/5bRUeilTgJX/clqUCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T07:09:13.830213Z","bundle_sha256":"f929239d8d37395eb865381adccc1b18132009f8ddce601a0ba59facd531a6ef"}}