{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VXRBJ3OFF3F77CH5JFHDE7HK4R","short_pith_number":"pith:VXRBJ3OF","canonical_record":{"source":{"id":"1409.1773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-09-05T12:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"b2eb4e5e7cc6419a3c6a46a661d75c75944df38b7303f797e2f80a7e3f339b5c","abstract_canon_sha256":"9e63d8bd25429020d2c483a366f802f90356fc42d00ecdfbba68af8f7e8bcb91"},"schema_version":"1.0"},"canonical_sha256":"ade214edc52ecbff88fd494e327ceae463ad37037db822b10f3c22d975d45f13","source":{"kind":"arxiv","id":"1409.1773","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1773","created_at":"2026-05-18T01:40:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1773v1","created_at":"2026-05-18T01:40:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1773","created_at":"2026-05-18T01:40:59Z"},{"alias_kind":"pith_short_12","alias_value":"VXRBJ3OFF3F7","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VXRBJ3OFF3F77CH5","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VXRBJ3OF","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VXRBJ3OFF3F77CH5JFHDE7HK4R","target":"record","payload":{"canonical_record":{"source":{"id":"1409.1773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-09-05T12:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"b2eb4e5e7cc6419a3c6a46a661d75c75944df38b7303f797e2f80a7e3f339b5c","abstract_canon_sha256":"9e63d8bd25429020d2c483a366f802f90356fc42d00ecdfbba68af8f7e8bcb91"},"schema_version":"1.0"},"canonical_sha256":"ade214edc52ecbff88fd494e327ceae463ad37037db822b10f3c22d975d45f13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:59.847553Z","signature_b64":"hPIFhtBaZG40KavGxKRcRXF7WonqOgS+sVeGOUjEn1Qs2OU714paHDQ4X4Q1dtSeg/sroyTP6k+5pefOhN0SCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ade214edc52ecbff88fd494e327ceae463ad37037db822b10f3c22d975d45f13","last_reissued_at":"2026-05-18T01:40:59.846914Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:59.846914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.1773","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":"2026-05-18T01:40:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lCtMCgyeKfYW/6aNS6J/3CU1wGGpcRdTSQMp41qC+snxBJCUr4f0qTunyXGM8L2GCDnOCL8JtHRwvws0OrsCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T12:56:54.985072Z"},"content_sha256":"f898454c337dae3100743dac366af56ac3c2f34fd1ad4bead487f64e24d839be","schema_version":"1.0","event_id":"sha256:f898454c337dae3100743dac366af56ac3c2f34fd1ad4bead487f64e24d839be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VXRBJ3OFF3F77CH5JFHDE7HK4R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Internal Model Principle for Systems with Unbounded Control and Observation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Lassi Paunonen, Seppo Pohjolainen","submitted_at":"2014-09-05T12:58:15Z","abstract_excerpt":"In this paper the theory of robust output regulation of distributed parameter systems with infinite-dimensional exosystems is extended for plants with unbounded control and observation. As the main result, we present the internal model principle for linear infinite-dimensional systems with unbounded input and output operators. We do this for two different definitions of an internal model found in the literature, namely, the p-copy internal model and the $\\mathcal{G}$-conditions. We also introduce a new way of defining an internal model for infinite-dimensional systems. The theoretic results ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1773","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":"2026-05-18T01:40:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h9Sx03b+4f32CjpWOOKqI5TmVGZ04FNI74qpZL3WLzDcfXsW7VCETJ+LJUrwCqQTFsL18vbg4GMxml+A25/pCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T12:56:54.985432Z"},"content_sha256":"07b42b20d0f8323e299dddf9571bd6ce55e295328cea97742c461fdc493befff","schema_version":"1.0","event_id":"sha256:07b42b20d0f8323e299dddf9571bd6ce55e295328cea97742c461fdc493befff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R/bundle.json","state_url":"https://pith.science/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R/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":"2026-06-27T12:56:54Z","links":{"resolver":"https://pith.science/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R","bundle":"https://pith.science/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R/bundle.json","state":"https://pith.science/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXRBJ3OFF3F77CH5JFHDE7HK4R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VXRBJ3OFF3F77CH5JFHDE7HK4R","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":"9e63d8bd25429020d2c483a366f802f90356fc42d00ecdfbba68af8f7e8bcb91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-09-05T12:58:15Z","title_canon_sha256":"b2eb4e5e7cc6419a3c6a46a661d75c75944df38b7303f797e2f80a7e3f339b5c"},"schema_version":"1.0","source":{"id":"1409.1773","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1773","created_at":"2026-05-18T01:40:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1773v1","created_at":"2026-05-18T01:40:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1773","created_at":"2026-05-18T01:40:59Z"},{"alias_kind":"pith_short_12","alias_value":"VXRBJ3OFF3F7","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VXRBJ3OFF3F77CH5","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VXRBJ3OF","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:07b42b20d0f8323e299dddf9571bd6ce55e295328cea97742c461fdc493befff","target":"graph","created_at":"2026-05-18T01:40:59Z","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 the theory of robust output regulation of distributed parameter systems with infinite-dimensional exosystems is extended for plants with unbounded control and observation. As the main result, we present the internal model principle for linear infinite-dimensional systems with unbounded input and output operators. We do this for two different definitions of an internal model found in the literature, namely, the p-copy internal model and the $\\mathcal{G}$-conditions. We also introduce a new way of defining an internal model for infinite-dimensional systems. The theoretic results ar","authors_text":"Lassi Paunonen, Seppo Pohjolainen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-09-05T12:58:15Z","title":"The Internal Model Principle for Systems with Unbounded Control and Observation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1773","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:f898454c337dae3100743dac366af56ac3c2f34fd1ad4bead487f64e24d839be","target":"record","created_at":"2026-05-18T01:40:59Z","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":"9e63d8bd25429020d2c483a366f802f90356fc42d00ecdfbba68af8f7e8bcb91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-09-05T12:58:15Z","title_canon_sha256":"b2eb4e5e7cc6419a3c6a46a661d75c75944df38b7303f797e2f80a7e3f339b5c"},"schema_version":"1.0","source":{"id":"1409.1773","kind":"arxiv","version":1}},"canonical_sha256":"ade214edc52ecbff88fd494e327ceae463ad37037db822b10f3c22d975d45f13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ade214edc52ecbff88fd494e327ceae463ad37037db822b10f3c22d975d45f13","first_computed_at":"2026-05-18T01:40:59.846914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:59.846914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hPIFhtBaZG40KavGxKRcRXF7WonqOgS+sVeGOUjEn1Qs2OU714paHDQ4X4Q1dtSeg/sroyTP6k+5pefOhN0SCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:59.847553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1773","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f898454c337dae3100743dac366af56ac3c2f34fd1ad4bead487f64e24d839be","sha256:07b42b20d0f8323e299dddf9571bd6ce55e295328cea97742c461fdc493befff"],"state_sha256":"cdffde65ad21c2d244591cfc15f26b092af9115c0872f1857166acacf2a87577"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ysb/AeeBcjbBoYJr7YS8dk9CtbNMlp24WTt6gBzlSFc3iHWPMf7wEuFA09hqJM2miqqW7MPbOfODiTlE9C2ADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T12:56:54.987305Z","bundle_sha256":"a09398ab404c279a62641e76dda370fc15cf3490b72dca60ccac00ad0caa380a"}}