{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DNIXO3DPWEULQ4UNM5N6YRYAQG","short_pith_number":"pith:DNIXO3DP","canonical_record":{"source":{"id":"1508.06842","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-27T13:03:50Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"3600a7319192110988ffc8db5d7633efc4a185d6927d78775808f0dd9b9a20c3","abstract_canon_sha256":"fb29adbb34b347030919c49e7e0d84af8b57e2bdde6985b1c0d2382b383a8d06"},"schema_version":"1.0"},"canonical_sha256":"1b51776c6fb128b8728d675bec470081b47c1268019360f14a0d3ebd7d4443d1","source":{"kind":"arxiv","id":"1508.06842","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06842","created_at":"2026-05-18T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06842v2","created_at":"2026-05-18T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06842","created_at":"2026-05-18T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"DNIXO3DPWEUL","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DNIXO3DPWEULQ4UN","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DNIXO3DP","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DNIXO3DPWEULQ4UNM5N6YRYAQG","target":"record","payload":{"canonical_record":{"source":{"id":"1508.06842","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-27T13:03:50Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"3600a7319192110988ffc8db5d7633efc4a185d6927d78775808f0dd9b9a20c3","abstract_canon_sha256":"fb29adbb34b347030919c49e7e0d84af8b57e2bdde6985b1c0d2382b383a8d06"},"schema_version":"1.0"},"canonical_sha256":"1b51776c6fb128b8728d675bec470081b47c1268019360f14a0d3ebd7d4443d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:47.072607Z","signature_b64":"PrsOHhSuLYLUB29gxvM2Ufo+qX9cmTkh4YdGP4BtQDD70Vaj9eQ5rP8ZWJtxjMFz2o42GHwhCAwsNZLjQPgLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b51776c6fb128b8728d675bec470081b47c1268019360f14a0d3ebd7d4443d1","last_reissued_at":"2026-05-18T01:17:47.071936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:47.071936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.06842","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9KWecaqzQGFVzZ1dFZ97bI9UWSU1rHndykjz76hl6m71+IH4c0FpEj0Cewo6mDK+iUqTwoi1BUj6X0ECKjdoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:51:20.817058Z"},"content_sha256":"369f91ca187a7979e2d6d8d11dc032965b9649223f05f11495ccb595207037e2","schema_version":"1.0","event_id":"sha256:369f91ca187a7979e2d6d8d11dc032965b9649223f05f11495ccb595207037e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DNIXO3DPWEULQ4UNM5N6YRYAQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Control of Pitch-Flap Instabilities in Helicopter Rotors using Delayed Feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OC","authors_text":"Rudy Cepeda-Gomez","submitted_at":"2015-08-27T13:03:50Z","abstract_excerpt":"The problem of vibration suppression in helicopter rotors is the main topic of this paper. We revisit a strategy for the stabilization of such systems based on delayed feedback. By means of an improved analysis, made possible by recently developed mathematical tools, we present insights on how the delay can be used as stabilization tool for this problem. The results are supported with numerical simulations. For simplicity, only the case of hovering flight is considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06842","kind":"arxiv","version":2},"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":"2026-05-18T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9q54EtvlHYS+C8fx4xLaGxFh1wYAcWb8xxLbs6nIvTy3RuF35zB9x84Gj7kejoRXK9zSCY555vzOBmpjnxKQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:51:20.817430Z"},"content_sha256":"9b707650032c60f782ceefc8cd4d0ffc446e8fdac8398f21e06ad9e56319cd75","schema_version":"1.0","event_id":"sha256:9b707650032c60f782ceefc8cd4d0ffc446e8fdac8398f21e06ad9e56319cd75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG/bundle.json","state_url":"https://pith.science/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG/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":"2026-06-03T09:51:20Z","links":{"resolver":"https://pith.science/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG","bundle":"https://pith.science/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG/bundle.json","state":"https://pith.science/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNIXO3DPWEULQ4UNM5N6YRYAQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DNIXO3DPWEULQ4UNM5N6YRYAQG","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":"fb29adbb34b347030919c49e7e0d84af8b57e2bdde6985b1c0d2382b383a8d06","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-27T13:03:50Z","title_canon_sha256":"3600a7319192110988ffc8db5d7633efc4a185d6927d78775808f0dd9b9a20c3"},"schema_version":"1.0","source":{"id":"1508.06842","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06842","created_at":"2026-05-18T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06842v2","created_at":"2026-05-18T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06842","created_at":"2026-05-18T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"DNIXO3DPWEUL","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DNIXO3DPWEULQ4UN","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DNIXO3DP","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:9b707650032c60f782ceefc8cd4d0ffc446e8fdac8398f21e06ad9e56319cd75","target":"graph","created_at":"2026-05-18T01:17:47Z","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 problem of vibration suppression in helicopter rotors is the main topic of this paper. We revisit a strategy for the stabilization of such systems based on delayed feedback. By means of an improved analysis, made possible by recently developed mathematical tools, we present insights on how the delay can be used as stabilization tool for this problem. The results are supported with numerical simulations. For simplicity, only the case of hovering flight is considered.","authors_text":"Rudy Cepeda-Gomez","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-27T13:03:50Z","title":"Control of Pitch-Flap Instabilities in Helicopter Rotors using Delayed Feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06842","kind":"arxiv","version":2},"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":"sha256:369f91ca187a7979e2d6d8d11dc032965b9649223f05f11495ccb595207037e2","target":"record","created_at":"2026-05-18T01:17:47Z","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":"fb29adbb34b347030919c49e7e0d84af8b57e2bdde6985b1c0d2382b383a8d06","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-27T13:03:50Z","title_canon_sha256":"3600a7319192110988ffc8db5d7633efc4a185d6927d78775808f0dd9b9a20c3"},"schema_version":"1.0","source":{"id":"1508.06842","kind":"arxiv","version":2}},"canonical_sha256":"1b51776c6fb128b8728d675bec470081b47c1268019360f14a0d3ebd7d4443d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b51776c6fb128b8728d675bec470081b47c1268019360f14a0d3ebd7d4443d1","first_computed_at":"2026-05-18T01:17:47.071936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:47.071936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PrsOHhSuLYLUB29gxvM2Ufo+qX9cmTkh4YdGP4BtQDD70Vaj9eQ5rP8ZWJtxjMFz2o42GHwhCAwsNZLjQPgLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:47.072607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.06842","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:369f91ca187a7979e2d6d8d11dc032965b9649223f05f11495ccb595207037e2","sha256:9b707650032c60f782ceefc8cd4d0ffc446e8fdac8398f21e06ad9e56319cd75"],"state_sha256":"06deb75cc2cff01bfe84a00a5054b72fdaedfe7987804995a40159fe525b72a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vkx5aG/7jw1wRok7IQTRl/P8+yS2Srdixc9JVVXDVuhRGKwoKzFWdGJTtJI9+o5pwNmbXriQJB75pEpsYQDbCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T09:51:20.819412Z","bundle_sha256":"e9fe0f50f7cc9a407fadd8833e2487be3410134b82794f9631a71dd93c0b2cd6"}}