{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D35CTI67VDHRIGM4JTDUZ65L7F","short_pith_number":"pith:D35CTI67","canonical_record":{"source":{"id":"1501.04578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-01-19T18:20:26Z","cross_cats_sorted":[],"title_canon_sha256":"2b9790ae8b2c1002140bc951b6ecaf30d2c503e16880773d31897ee67d826858","abstract_canon_sha256":"301a9207fd22c82e47000e7e2d73b5e537ae83ad52624951fd5085c938ec3a36"},"schema_version":"1.0"},"canonical_sha256":"1efa29a3dfa8cf14199c4cc74cfbabf9610b9143f655063f47805740d3c8ddbc","source":{"kind":"arxiv","id":"1501.04578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04578","created_at":"2026-05-18T02:29:08Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04578v1","created_at":"2026-05-18T02:29:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04578","created_at":"2026-05-18T02:29:08Z"},{"alias_kind":"pith_short_12","alias_value":"D35CTI67VDHR","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D35CTI67VDHRIGM4","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D35CTI67","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D35CTI67VDHRIGM4JTDUZ65L7F","target":"record","payload":{"canonical_record":{"source":{"id":"1501.04578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-01-19T18:20:26Z","cross_cats_sorted":[],"title_canon_sha256":"2b9790ae8b2c1002140bc951b6ecaf30d2c503e16880773d31897ee67d826858","abstract_canon_sha256":"301a9207fd22c82e47000e7e2d73b5e537ae83ad52624951fd5085c938ec3a36"},"schema_version":"1.0"},"canonical_sha256":"1efa29a3dfa8cf14199c4cc74cfbabf9610b9143f655063f47805740d3c8ddbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:08.680892Z","signature_b64":"e9XZ2C+0l6eVC1AEAp/JvFiD9VOJb0E4BN4MwaoMTv/AMH7OfjOABRfp2S5x7olOHvpxrdhqQJghgcVrMAMiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1efa29a3dfa8cf14199c4cc74cfbabf9610b9143f655063f47805740d3c8ddbc","last_reissued_at":"2026-05-18T02:29:08.680356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:08.680356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.04578","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":"2026-05-18T02:29:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ulftXgEFx9xLLv7fgWt/lPidKu90w7V5RuovcVLrT0tN0GMixdjAem6jpgRtO6Bo3C+a+/u5WmlibvI8joqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:18:16.330346Z"},"content_sha256":"ffdd0cea7d5bbf869a398c8b21b11cdd50e8ee7f6b5b40d01741b3a239614f24","schema_version":"1.0","event_id":"sha256:ffdd0cea7d5bbf869a398c8b21b11cdd50e8ee7f6b5b40d01741b3a239614f24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D35CTI67VDHRIGM4JTDUZ65L7F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stabilization of polynomial dynamical systems using linear programming based on Bernstein polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mohamed Amin Ben Sassi, Sriram Sankaranarayanan","submitted_at":"2015-01-19T18:20:26Z","abstract_excerpt":"In this paper, we deal with the problem of synthesizing static output feedback controllers for stabilizing polynomial systems. Our approach jointly synthesizes a Lyapunov function and a static output feedback controller that stabilizes the system over a given subset of the state-space. Specifically, our approach is simultaneously targeted towards two goals: (a) asymptotic Lyapunov stability of the system, and (b) invariance of a box containing the equilibrium. Our approach uses Bernstein polynomials to build a linear relaxation of polynomial optimization problems, and the use of a so-called \"p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04578","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":"2026-05-18T02:29:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbOrdlQV8an4uFQf0tZWhTQWQGtsneI0UJ8hVMnKpYqxdlZ9MeDDRuwSft5KjMKsib28ZdlxsbMCKxQN9lQIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:18:16.330697Z"},"content_sha256":"7468742a729e41cc4125687742881ad131cebfa736cd00696320113075c53c91","schema_version":"1.0","event_id":"sha256:7468742a729e41cc4125687742881ad131cebfa736cd00696320113075c53c91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D35CTI67VDHRIGM4JTDUZ65L7F/bundle.json","state_url":"https://pith.science/pith/D35CTI67VDHRIGM4JTDUZ65L7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D35CTI67VDHRIGM4JTDUZ65L7F/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":"2026-06-27T18:18:16Z","links":{"resolver":"https://pith.science/pith/D35CTI67VDHRIGM4JTDUZ65L7F","bundle":"https://pith.science/pith/D35CTI67VDHRIGM4JTDUZ65L7F/bundle.json","state":"https://pith.science/pith/D35CTI67VDHRIGM4JTDUZ65L7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D35CTI67VDHRIGM4JTDUZ65L7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D35CTI67VDHRIGM4JTDUZ65L7F","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":"301a9207fd22c82e47000e7e2d73b5e537ae83ad52624951fd5085c938ec3a36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-01-19T18:20:26Z","title_canon_sha256":"2b9790ae8b2c1002140bc951b6ecaf30d2c503e16880773d31897ee67d826858"},"schema_version":"1.0","source":{"id":"1501.04578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04578","created_at":"2026-05-18T02:29:08Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04578v1","created_at":"2026-05-18T02:29:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04578","created_at":"2026-05-18T02:29:08Z"},{"alias_kind":"pith_short_12","alias_value":"D35CTI67VDHR","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D35CTI67VDHRIGM4","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D35CTI67","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:7468742a729e41cc4125687742881ad131cebfa736cd00696320113075c53c91","target":"graph","created_at":"2026-05-18T02:29:08Z","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":"In this paper, we deal with the problem of synthesizing static output feedback controllers for stabilizing polynomial systems. Our approach jointly synthesizes a Lyapunov function and a static output feedback controller that stabilizes the system over a given subset of the state-space. Specifically, our approach is simultaneously targeted towards two goals: (a) asymptotic Lyapunov stability of the system, and (b) invariance of a box containing the equilibrium. Our approach uses Bernstein polynomials to build a linear relaxation of polynomial optimization problems, and the use of a so-called \"p","authors_text":"Mohamed Amin Ben Sassi, Sriram Sankaranarayanan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-01-19T18:20:26Z","title":"Stabilization of polynomial dynamical systems using linear programming based on Bernstein polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04578","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:ffdd0cea7d5bbf869a398c8b21b11cdd50e8ee7f6b5b40d01741b3a239614f24","target":"record","created_at":"2026-05-18T02:29:08Z","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":"301a9207fd22c82e47000e7e2d73b5e537ae83ad52624951fd5085c938ec3a36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-01-19T18:20:26Z","title_canon_sha256":"2b9790ae8b2c1002140bc951b6ecaf30d2c503e16880773d31897ee67d826858"},"schema_version":"1.0","source":{"id":"1501.04578","kind":"arxiv","version":1}},"canonical_sha256":"1efa29a3dfa8cf14199c4cc74cfbabf9610b9143f655063f47805740d3c8ddbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1efa29a3dfa8cf14199c4cc74cfbabf9610b9143f655063f47805740d3c8ddbc","first_computed_at":"2026-05-18T02:29:08.680356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:08.680356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e9XZ2C+0l6eVC1AEAp/JvFiD9VOJb0E4BN4MwaoMTv/AMH7OfjOABRfp2S5x7olOHvpxrdhqQJghgcVrMAMiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:08.680892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffdd0cea7d5bbf869a398c8b21b11cdd50e8ee7f6b5b40d01741b3a239614f24","sha256:7468742a729e41cc4125687742881ad131cebfa736cd00696320113075c53c91"],"state_sha256":"2c0d5a4cff176acbe1bbef1966d53bc31bf56b55b9bf0e1e6c961ff3ef7e3005"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q685T5UlIxbqVqEg319nXVD1hJNOBMyadLETbh9KY0vRCyCL8bXNBHKMZtz5MVtoLZ9gk1q0XjfqmRvyrGleBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:18:16.332520Z","bundle_sha256":"d0a7260e6a51573207e39af94a3e531653b219cee6d5ded82b446b78c06d7855"}}