{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CRGRX2HDZAXGQ7PZR4XYC3WOIH","short_pith_number":"pith:CRGRX2HD","canonical_record":{"source":{"id":"1611.00581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-02T13:06:30Z","cross_cats_sorted":[],"title_canon_sha256":"bcc0cb8e597f2a4f0159aba763d82e4d902c1cb122fdb05bd1fc5fa18a8247fd","abstract_canon_sha256":"70dfbfae60f25e0855cf8b3f869d30ad0e04baa4c1c3f35b5ac843282cb1bead"},"schema_version":"1.0"},"canonical_sha256":"144d1be8e3c82e687df98f2f816ece41f3236e07fb733867c936c0766ccc4216","source":{"kind":"arxiv","id":"1611.00581","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00581","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00581v1","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00581","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"pith_short_12","alias_value":"CRGRX2HDZAXG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CRGRX2HDZAXGQ7PZ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CRGRX2HD","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CRGRX2HDZAXGQ7PZR4XYC3WOIH","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-02T13:06:30Z","cross_cats_sorted":[],"title_canon_sha256":"bcc0cb8e597f2a4f0159aba763d82e4d902c1cb122fdb05bd1fc5fa18a8247fd","abstract_canon_sha256":"70dfbfae60f25e0855cf8b3f869d30ad0e04baa4c1c3f35b5ac843282cb1bead"},"schema_version":"1.0"},"canonical_sha256":"144d1be8e3c82e687df98f2f816ece41f3236e07fb733867c936c0766ccc4216","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:32.330819Z","signature_b64":"b9hi6F8Z1J0lH90Jo+nRVe0IOlSBiUAFs0PW13M451TdsJhzhkpydD1+HlmJe8nvQbo+13sSME7ZfJgyZ9xoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"144d1be8e3c82e687df98f2f816ece41f3236e07fb733867c936c0766ccc4216","last_reissued_at":"2026-05-18T01:00:32.330239Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:32.330239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00581","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":"2026-05-18T01:00:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qRsPEx54hkjrafooEif7XEcYYeeJeYZ+kB5xG79NdRSja5F8z3oIeJcld6SWWtWKklqOAlGK9GIWbZ+2+JCNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:02:48.967134Z"},"content_sha256":"fd760c135bc01a1aa927fdc111dcfe9d82b0da0fff8f6f90598dd13db867316e","schema_version":"1.0","event_id":"sha256:fd760c135bc01a1aa927fdc111dcfe9d82b0da0fff8f6f90598dd13db867316e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CRGRX2HDZAXGQ7PZR4XYC3WOIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On robust feedback for systems with multidimensional control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"T. V. Revina, V. I. Korobov","submitted_at":"2016-11-02T13:06:30Z","abstract_excerpt":"The paper deals with local robust feedback synthesis for systems with multidimensional control and unknown bounded perturbations. Using V.~I.~Korobov's controllability function method, we construct a bounded control which steers an arbitrary initial point to the origin in some finite time; an estimate from above for the time of motion is given. We have found the range of a segment where the perturbations can vary. As an example we consider the problem of stopping the oscillations of the system of two coupled pendulums."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00581","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":"2026-05-18T01:00:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x0fciYVDaLcjeFvawOUhBP8br8cBDDSXno0pU/vORQQetpgdkNm5SqrGXD1YQW6u6pcCf9ENoBfgXk4RL9z2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:02:48.967483Z"},"content_sha256":"b98637816af98f4fd9bfadd999556992ef1f284189adfbdadf1a94225a5ff222","schema_version":"1.0","event_id":"sha256:b98637816af98f4fd9bfadd999556992ef1f284189adfbdadf1a94225a5ff222"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH/bundle.json","state_url":"https://pith.science/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH/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":"2026-06-29T22:02:48Z","links":{"resolver":"https://pith.science/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH","bundle":"https://pith.science/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH/bundle.json","state":"https://pith.science/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CRGRX2HDZAXGQ7PZR4XYC3WOIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CRGRX2HDZAXGQ7PZR4XYC3WOIH","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":"70dfbfae60f25e0855cf8b3f869d30ad0e04baa4c1c3f35b5ac843282cb1bead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-02T13:06:30Z","title_canon_sha256":"bcc0cb8e597f2a4f0159aba763d82e4d902c1cb122fdb05bd1fc5fa18a8247fd"},"schema_version":"1.0","source":{"id":"1611.00581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00581","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00581v1","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00581","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"pith_short_12","alias_value":"CRGRX2HDZAXG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CRGRX2HDZAXGQ7PZ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CRGRX2HD","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:b98637816af98f4fd9bfadd999556992ef1f284189adfbdadf1a94225a5ff222","target":"graph","created_at":"2026-05-18T01:00:32Z","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 paper deals with local robust feedback synthesis for systems with multidimensional control and unknown bounded perturbations. Using V.~I.~Korobov's controllability function method, we construct a bounded control which steers an arbitrary initial point to the origin in some finite time; an estimate from above for the time of motion is given. We have found the range of a segment where the perturbations can vary. As an example we consider the problem of stopping the oscillations of the system of two coupled pendulums.","authors_text":"T. V. Revina, V. I. Korobov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-02T13:06:30Z","title":"On robust feedback for systems with multidimensional control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00581","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:fd760c135bc01a1aa927fdc111dcfe9d82b0da0fff8f6f90598dd13db867316e","target":"record","created_at":"2026-05-18T01:00:32Z","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":"70dfbfae60f25e0855cf8b3f869d30ad0e04baa4c1c3f35b5ac843282cb1bead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-02T13:06:30Z","title_canon_sha256":"bcc0cb8e597f2a4f0159aba763d82e4d902c1cb122fdb05bd1fc5fa18a8247fd"},"schema_version":"1.0","source":{"id":"1611.00581","kind":"arxiv","version":1}},"canonical_sha256":"144d1be8e3c82e687df98f2f816ece41f3236e07fb733867c936c0766ccc4216","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"144d1be8e3c82e687df98f2f816ece41f3236e07fb733867c936c0766ccc4216","first_computed_at":"2026-05-18T01:00:32.330239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:32.330239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9hi6F8Z1J0lH90Jo+nRVe0IOlSBiUAFs0PW13M451TdsJhzhkpydD1+HlmJe8nvQbo+13sSME7ZfJgyZ9xoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:32.330819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd760c135bc01a1aa927fdc111dcfe9d82b0da0fff8f6f90598dd13db867316e","sha256:b98637816af98f4fd9bfadd999556992ef1f284189adfbdadf1a94225a5ff222"],"state_sha256":"2670622d4f38070465150cdf3e6530d51626a5c5fb91f87b011418226bb762f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HngaPsUJzHCfMDS8sz8aAV1pxgiaLoSLYHDCTfyxahEnpH88EakIqtF+5nuDgPrFMPe9D+KmSW34hzNalmI/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T22:02:48.969264Z","bundle_sha256":"60d02c0a47e912935301f83934ef648b712d94e6c930197d127bda9c513022a9"}}