{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7C44VK6IZGICMD4YXGE23NR3ON","short_pith_number":"pith:7C44VK6I","canonical_record":{"source":{"id":"1708.04419","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-15T07:42:04Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"b0c1706066c90f0acf57471dbda914075de0dfb940e9d2fc01570456860879df","abstract_canon_sha256":"b5ff592abe7b3da3d6a2d6b57408be401394f1d33b864de1f4fc015eb17f4c18"},"schema_version":"1.0"},"canonical_sha256":"f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4","source":{"kind":"arxiv","id":"1708.04419","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04419","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04419v1","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04419","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"7C44VK6IZGIC","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"7C44VK6IZGICMD4Y","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"7C44VK6I","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7C44VK6IZGICMD4YXGE23NR3ON","target":"record","payload":{"canonical_record":{"source":{"id":"1708.04419","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-15T07:42:04Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"b0c1706066c90f0acf57471dbda914075de0dfb940e9d2fc01570456860879df","abstract_canon_sha256":"b5ff592abe7b3da3d6a2d6b57408be401394f1d33b864de1f4fc015eb17f4c18"},"schema_version":"1.0"},"canonical_sha256":"f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:15.698539Z","signature_b64":"TZnkKJKSMmM0ULEY44T+CnvZpqIEzoxrVQCsvg3Wi//MKREU8KErVrS0M6Eg5Z08Fmjp6UX659rN2t4yZjzfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4","last_reissued_at":"2026-05-17T23:45:15.698021Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:15.698021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.04419","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":"2026-05-17T23:45:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qIsECsf5eO72g3CLv+ZU4DJMaR11I5nyOyBvWU//9A5Z7BaWAfXLnzf7bD2/JaIMLyU3BWuzG7375Q6s1mjvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:05:21.985355Z"},"content_sha256":"ce8f24068d57ea050de1a7be19994677d0fa5240808dacc5b302a85999ac2956","schema_version":"1.0","event_id":"sha256:ce8f24068d57ea050de1a7be19994677d0fa5240808dacc5b302a85999ac2956"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7C44VK6IZGICMD4YXGE23NR3ON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete time Pontryagin maximum principle for optimal control problems under state-action-frequency constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Debasish Chatterjee, Pradyumna Paruchuri","submitted_at":"2017-08-15T07:42:04Z","abstract_excerpt":"We establish a Pontryagin maximum principle for discrete time optimal control problems under the following three types of constraints: a) constraints on the states pointwise in time, b) constraints on the control actions pointwise in time, and c) constraints on the frequency spectrum of the optimal control trajectories. While the first two types of constraints are already included in the existing versions of the Pontryagin maximum principle, it turns out that the third type of constraints cannot be recast in any of the standard forms of the existing results for the original control system. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04419","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":"2026-05-17T23:45:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IcU+vd3GFfUsQwnCvWPE2u7ljW52IRUc+EVX48H5zHC9nKPfLguUvUXhd+fmBU6LfYZpgH/MeyNs/ZGOSC3IDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:05:21.985791Z"},"content_sha256":"661f082052ea0f2754691af89127950f7cced07da7045b9e49cead6fac38f7dc","schema_version":"1.0","event_id":"sha256:661f082052ea0f2754691af89127950f7cced07da7045b9e49cead6fac38f7dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7C44VK6IZGICMD4YXGE23NR3ON/bundle.json","state_url":"https://pith.science/pith/7C44VK6IZGICMD4YXGE23NR3ON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7C44VK6IZGICMD4YXGE23NR3ON/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":"2026-05-29T15:05:21Z","links":{"resolver":"https://pith.science/pith/7C44VK6IZGICMD4YXGE23NR3ON","bundle":"https://pith.science/pith/7C44VK6IZGICMD4YXGE23NR3ON/bundle.json","state":"https://pith.science/pith/7C44VK6IZGICMD4YXGE23NR3ON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7C44VK6IZGICMD4YXGE23NR3ON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7C44VK6IZGICMD4YXGE23NR3ON","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":"b5ff592abe7b3da3d6a2d6b57408be401394f1d33b864de1f4fc015eb17f4c18","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-15T07:42:04Z","title_canon_sha256":"b0c1706066c90f0acf57471dbda914075de0dfb940e9d2fc01570456860879df"},"schema_version":"1.0","source":{"id":"1708.04419","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04419","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04419v1","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04419","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"7C44VK6IZGIC","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"7C44VK6IZGICMD4Y","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"7C44VK6I","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:661f082052ea0f2754691af89127950f7cced07da7045b9e49cead6fac38f7dc","target":"graph","created_at":"2026-05-17T23:45:15Z","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":"We establish a Pontryagin maximum principle for discrete time optimal control problems under the following three types of constraints: a) constraints on the states pointwise in time, b) constraints on the control actions pointwise in time, and c) constraints on the frequency spectrum of the optimal control trajectories. While the first two types of constraints are already included in the existing versions of the Pontryagin maximum principle, it turns out that the third type of constraints cannot be recast in any of the standard forms of the existing results for the original control system. We ","authors_text":"Debasish Chatterjee, Pradyumna Paruchuri","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-15T07:42:04Z","title":"Discrete time Pontryagin maximum principle for optimal control problems under state-action-frequency constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04419","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:ce8f24068d57ea050de1a7be19994677d0fa5240808dacc5b302a85999ac2956","target":"record","created_at":"2026-05-17T23:45:15Z","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":"b5ff592abe7b3da3d6a2d6b57408be401394f1d33b864de1f4fc015eb17f4c18","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-15T07:42:04Z","title_canon_sha256":"b0c1706066c90f0acf57471dbda914075de0dfb940e9d2fc01570456860879df"},"schema_version":"1.0","source":{"id":"1708.04419","kind":"arxiv","version":1}},"canonical_sha256":"f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4","first_computed_at":"2026-05-17T23:45:15.698021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:15.698021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TZnkKJKSMmM0ULEY44T+CnvZpqIEzoxrVQCsvg3Wi//MKREU8KErVrS0M6Eg5Z08Fmjp6UX659rN2t4yZjzfCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:15.698539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.04419","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce8f24068d57ea050de1a7be19994677d0fa5240808dacc5b302a85999ac2956","sha256:661f082052ea0f2754691af89127950f7cced07da7045b9e49cead6fac38f7dc"],"state_sha256":"73f3235b8b357b01e5d555b83f1ee913fbe30c4561388c5c5744eeed76cf74db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/HkoP3deupmRsFN0SIJ7r7Nuv67K7fRbVeJQOkL6ut4OWWjq1B5WpeFcB/fK5ukHwejVvfnhPPgjeM5ixdkRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:05:21.988469Z","bundle_sha256":"941e824ad2cbe09beed509734c6ac2b89b97d77fadc1e34ac1dee64c87c9f957"}}