{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:J4CUK7VTVAC5TF3OF7HJ56EH5O","short_pith_number":"pith:J4CUK7VT","canonical_record":{"source":{"id":"1810.00601","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-10-01T10:08:17Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"4045c7aa209c42246a6e40fa70ce62f0ec8c66dd12527ba1940c370b41d854a5","abstract_canon_sha256":"7a0dd701cf7f6eb484396693a2aac4809f961fb1167d5de763e48728638d13d6"},"schema_version":"1.0"},"canonical_sha256":"4f05457eb3a805d9976e2fce9ef887ebbdb2e4ec018ae258a0bbf2eeaebedca6","source":{"kind":"arxiv","id":"1810.00601","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00601","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00601v3","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00601","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_12","alias_value":"J4CUK7VTVAC5","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_16","alias_value":"J4CUK7VTVAC5TF3O","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_8","alias_value":"J4CUK7VT","created_at":"2026-06-04T20:13:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:J4CUK7VTVAC5TF3OF7HJ56EH5O","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00601","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-10-01T10:08:17Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"4045c7aa209c42246a6e40fa70ce62f0ec8c66dd12527ba1940c370b41d854a5","abstract_canon_sha256":"7a0dd701cf7f6eb484396693a2aac4809f961fb1167d5de763e48728638d13d6"},"schema_version":"1.0"},"canonical_sha256":"4f05457eb3a805d9976e2fce9ef887ebbdb2e4ec018ae258a0bbf2eeaebedca6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:13:24.275779Z","signature_b64":"Tw2kv4BNy8LWg64KxbEI3ernHhTYeHBcF5vahRwEGc5S6DfeYf5kEF2MO70Scpvnr/DdWqGPqrp/s/LNUNLbDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f05457eb3a805d9976e2fce9ef887ebbdb2e4ec018ae258a0bbf2eeaebedca6","last_reissued_at":"2026-06-04T20:13:24.275345Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:13:24.275345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00601","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":"2026-06-04T20:13:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+TMgxe+3GvhVZgIjn2u98HyfByGH5ym7KyfyfboTC5udjkok2XzC+s3mcC9ZYZivcO2au3GenXsfnBjWv/EAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T03:26:53.037014Z"},"content_sha256":"f33d1d46d89839d8d5eb208365971c6a785716942b64040ff21b7bae7c5d7761","schema_version":"1.0","event_id":"sha256:f33d1d46d89839d8d5eb208365971c6a785716942b64040ff21b7bae7c5d7761"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:J4CUK7VTVAC5TF3OF7HJ56EH5O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbital Stabilization of Nonlinear Systems via the Immersion and Invariance Technique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Alessandro Astolfi, Bowen Yi, Jose Guadalupe Romero, Romeo Ortega","submitted_at":"2018-10-01T10:08:17Z","abstract_excerpt":"Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated by some modern applications we show that the technique can also be used to solve the problem of orbital stabilization, where the final objective is to generate periodic solutions that are attractive. The feasibility of our result is illustrated with some classical mechanical engineering and electronics examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00601","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/1810.00601/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":"2026-06-04T20:13:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L9dfnjRqiV6T1sVsvyta+azd2HPOR+2d2yHc70xO5EhhnzYV9ZmZWXGdX9pRLGBcjNnSvdXNLZNkO2uU13pwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T03:26:53.037400Z"},"content_sha256":"01ea708b6585f162500ad8b7b5b8c336a6ab08f9ee1e65237c043f638291753e","schema_version":"1.0","event_id":"sha256:01ea708b6585f162500ad8b7b5b8c336a6ab08f9ee1e65237c043f638291753e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O/bundle.json","state_url":"https://pith.science/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O/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":"2026-07-02T03:26:53Z","links":{"resolver":"https://pith.science/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O","bundle":"https://pith.science/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O/bundle.json","state":"https://pith.science/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J4CUK7VTVAC5TF3OF7HJ56EH5O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J4CUK7VTVAC5TF3OF7HJ56EH5O","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":"7a0dd701cf7f6eb484396693a2aac4809f961fb1167d5de763e48728638d13d6","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-10-01T10:08:17Z","title_canon_sha256":"4045c7aa209c42246a6e40fa70ce62f0ec8c66dd12527ba1940c370b41d854a5"},"schema_version":"1.0","source":{"id":"1810.00601","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00601","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00601v3","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00601","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_12","alias_value":"J4CUK7VTVAC5","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_16","alias_value":"J4CUK7VTVAC5TF3O","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_8","alias_value":"J4CUK7VT","created_at":"2026-06-04T20:13:24Z"}],"graph_snapshots":[{"event_id":"sha256:01ea708b6585f162500ad8b7b5b8c336a6ab08f9ee1e65237c043f638291753e","target":"graph","created_at":"2026-06-04T20:13:24Z","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/1810.00601/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated by some modern applications we show that the technique can also be used to solve the problem of orbital stabilization, where the final objective is to generate periodic solutions that are attractive. The feasibility of our result is illustrated with some classical mechanical engineering and electronics examples.","authors_text":"Alessandro Astolfi, Bowen Yi, Jose Guadalupe Romero, Romeo Ortega","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-10-01T10:08:17Z","title":"Orbital Stabilization of Nonlinear Systems via the Immersion and Invariance Technique"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00601","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:f33d1d46d89839d8d5eb208365971c6a785716942b64040ff21b7bae7c5d7761","target":"record","created_at":"2026-06-04T20:13:24Z","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":"7a0dd701cf7f6eb484396693a2aac4809f961fb1167d5de763e48728638d13d6","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-10-01T10:08:17Z","title_canon_sha256":"4045c7aa209c42246a6e40fa70ce62f0ec8c66dd12527ba1940c370b41d854a5"},"schema_version":"1.0","source":{"id":"1810.00601","kind":"arxiv","version":3}},"canonical_sha256":"4f05457eb3a805d9976e2fce9ef887ebbdb2e4ec018ae258a0bbf2eeaebedca6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f05457eb3a805d9976e2fce9ef887ebbdb2e4ec018ae258a0bbf2eeaebedca6","first_computed_at":"2026-06-04T20:13:24.275345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:13:24.275345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tw2kv4BNy8LWg64KxbEI3ernHhTYeHBcF5vahRwEGc5S6DfeYf5kEF2MO70Scpvnr/DdWqGPqrp/s/LNUNLbDw==","signature_status":"signed_v1","signed_at":"2026-06-04T20:13:24.275779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00601","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f33d1d46d89839d8d5eb208365971c6a785716942b64040ff21b7bae7c5d7761","sha256:01ea708b6585f162500ad8b7b5b8c336a6ab08f9ee1e65237c043f638291753e"],"state_sha256":"d0bdcd283c2b68ed0cbd07053d3267e2dcdaaf6115faba0784025188b5b3290f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"msQUHCHHNWSlyYc9GS0A/YPCJG7efA/CgCesl4lNJg/iWBrS4kRq1Z/5Drte7JWsfeQwBH2BIdG+WKA/oCz0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T03:26:53.039405Z","bundle_sha256":"9876a317ee6ac8051fe182d3373f64e839e5dffa6721e083e6a575e1a404065d"}}