{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6XLBL3EO5VSSJWP336R6PGKPUC","short_pith_number":"pith:6XLBL3EO","canonical_record":{"source":{"id":"2305.06658","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-05-11T08:53:05Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"cb315a31b51db0bc5ced4c83e5d49edaf5747d7421f2d1113d230c7c29dacd71","abstract_canon_sha256":"5281d7c5123d5accd563e4cce407111bc83c91aee30ee84529c9e6a7549582ef"},"schema_version":"1.0"},"canonical_sha256":"f5d615ec8eed6524d9fbdfa3e7994fa09f616e236b682aa4702d3776a7cb0e6a","source":{"kind":"arxiv","id":"2305.06658","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.06658","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"2305.06658v6","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.06658","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"6XLBL3EO5VSS","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"pith_short_16","alias_value":"6XLBL3EO5VSSJWP3","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"pith_short_8","alias_value":"6XLBL3EO","created_at":"2026-07-05T11:41:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6XLBL3EO5VSSJWP336R6PGKPUC","target":"record","payload":{"canonical_record":{"source":{"id":"2305.06658","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-05-11T08:53:05Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"cb315a31b51db0bc5ced4c83e5d49edaf5747d7421f2d1113d230c7c29dacd71","abstract_canon_sha256":"5281d7c5123d5accd563e4cce407111bc83c91aee30ee84529c9e6a7549582ef"},"schema_version":"1.0"},"canonical_sha256":"f5d615ec8eed6524d9fbdfa3e7994fa09f616e236b682aa4702d3776a7cb0e6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:32.405665Z","signature_b64":"uMHkE80g9ySZhKzfJyfkDwFyGeVsUtwgymO+Vn0FlcQOYJu+NbXfiJAfa/lY3vi5m1Xl1WwXCYdTvcogM4d/AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5d615ec8eed6524d9fbdfa3e7994fa09f616e236b682aa4702d3776a7cb0e6a","last_reissued_at":"2026-07-05T11:41:32.405204Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:32.405204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.06658","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:41:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aE24p1fzmePgEpw66CTVcEHR4gd94hwStw1QEhG86DDpY1gNz66Qsoh/qOMpHLD3e1PzDab8TQvO7cehtf/eDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:26:22.764189Z"},"content_sha256":"38fc750abf1b44182f9a6dd65a21873239765f3dac1a196eee5af1ca9fbe79c7","schema_version":"1.0","event_id":"sha256:38fc750abf1b44182f9a6dd65a21873239765f3dac1a196eee5af1ca9fbe79c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6XLBL3EO5VSSJWP336R6PGKPUC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OC","authors_text":"Anatoly Zlotnik, Dieter Armbruster, Luke S. Baker, Rodrigo B. Platte, Sachin Shivakumar","submitted_at":"2023-05-11T08:53:05Z","abstract_excerpt":"We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We establish stability of the local linear system and derive rigorous bounds on error between the nonlinear and linear system solutions. These bounds are used to quantify conditions under which the linear MPC can substitute the nonlinear MPC without significant loss of predictive accuracy. Furthermore, we prove and numerically verify that the computational cost of the linear MPC is orders of magnitude lower than that o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.06658","kind":"arxiv","version":6},"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/2305.06658/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":"2026-07-05T11:41:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vr9CT8SCogA48xNuA210hXZopq4xiOTya5V22mboksBifbWC/OLmQsHv3nHuQhVQEZAhWZAtFNl0i8wPsmSABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:26:22.764784Z"},"content_sha256":"e3112170b0e90277412327f7fc00e8847c34f2f33226925129aea55a223ee59d","schema_version":"1.0","event_id":"sha256:e3112170b0e90277412327f7fc00e8847c34f2f33226925129aea55a223ee59d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6XLBL3EO5VSSJWP336R6PGKPUC/bundle.json","state_url":"https://pith.science/pith/6XLBL3EO5VSSJWP336R6PGKPUC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6XLBL3EO5VSSJWP336R6PGKPUC/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":"2026-08-03T17:26:22Z","links":{"resolver":"https://pith.science/pith/6XLBL3EO5VSSJWP336R6PGKPUC","bundle":"https://pith.science/pith/6XLBL3EO5VSSJWP336R6PGKPUC/bundle.json","state":"https://pith.science/pith/6XLBL3EO5VSSJWP336R6PGKPUC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6XLBL3EO5VSSJWP336R6PGKPUC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6XLBL3EO5VSSJWP336R6PGKPUC","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":"5281d7c5123d5accd563e4cce407111bc83c91aee30ee84529c9e6a7549582ef","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-05-11T08:53:05Z","title_canon_sha256":"cb315a31b51db0bc5ced4c83e5d49edaf5747d7421f2d1113d230c7c29dacd71"},"schema_version":"1.0","source":{"id":"2305.06658","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.06658","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"2305.06658v6","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.06658","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"6XLBL3EO5VSS","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"pith_short_16","alias_value":"6XLBL3EO5VSSJWP3","created_at":"2026-07-05T11:41:32Z"},{"alias_kind":"pith_short_8","alias_value":"6XLBL3EO","created_at":"2026-07-05T11:41:32Z"}],"graph_snapshots":[{"event_id":"sha256:e3112170b0e90277412327f7fc00e8847c34f2f33226925129aea55a223ee59d","target":"graph","created_at":"2026-07-05T11:41:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.06658/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We establish stability of the local linear system and derive rigorous bounds on error between the nonlinear and linear system solutions. These bounds are used to quantify conditions under which the linear MPC can substitute the nonlinear MPC without significant loss of predictive accuracy. Furthermore, we prove and numerically verify that the computational cost of the linear MPC is orders of magnitude lower than that o","authors_text":"Anatoly Zlotnik, Dieter Armbruster, Luke S. Baker, Rodrigo B. Platte, Sachin Shivakumar","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-05-11T08:53:05Z","title":"Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.06658","kind":"arxiv","version":6},"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":"sha256:38fc750abf1b44182f9a6dd65a21873239765f3dac1a196eee5af1ca9fbe79c7","target":"record","created_at":"2026-07-05T11:41:32Z","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":"5281d7c5123d5accd563e4cce407111bc83c91aee30ee84529c9e6a7549582ef","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-05-11T08:53:05Z","title_canon_sha256":"cb315a31b51db0bc5ced4c83e5d49edaf5747d7421f2d1113d230c7c29dacd71"},"schema_version":"1.0","source":{"id":"2305.06658","kind":"arxiv","version":6}},"canonical_sha256":"f5d615ec8eed6524d9fbdfa3e7994fa09f616e236b682aa4702d3776a7cb0e6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5d615ec8eed6524d9fbdfa3e7994fa09f616e236b682aa4702d3776a7cb0e6a","first_computed_at":"2026-07-05T11:41:32.405204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:32.405204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uMHkE80g9ySZhKzfJyfkDwFyGeVsUtwgymO+Vn0FlcQOYJu+NbXfiJAfa/lY3vi5m1Xl1WwXCYdTvcogM4d/AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:32.405665Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.06658","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38fc750abf1b44182f9a6dd65a21873239765f3dac1a196eee5af1ca9fbe79c7","sha256:e3112170b0e90277412327f7fc00e8847c34f2f33226925129aea55a223ee59d"],"state_sha256":"abd2acb9869991e9c0f29dcdcbf749a938156d22434b3722a5c26f0c5cdd898c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4W9zQboCHV4ciiqUxkfcOfSo+UT3uXnMvHCEabKcSzK6x/IgRH1zsFqe/874IbPLoBfjYGC0uLDC9O1HDZUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:26:22.770594Z","bundle_sha256":"5a5a2063d0796c5b57dfcb844daed5cbe9068d96f89a804a925eb0de8d48c9dd"}}