{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:A7C6O4RAAK2GRTWUVVLMMX7JNS","short_pith_number":"pith:A7C6O4RA","schema_version":"1.0","canonical_sha256":"07c5e7722002b468ced4ad56c65fe96c842a64068960f36b13418a302dca72cc","source":{"kind":"arxiv","id":"2311.04407","version":2},"attestation_state":"computed","paper":{"title":"Boundary Control for Suppressing Chaotic Response to Dynamic Hydrogen Blending in a Gas Pipeline","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.OC","nlin.CD","physics.flu-dyn"],"primary_cat":"math.DS","authors_text":"Anatoly Zlotnik, Luke S. Baker","submitted_at":"2023-11-08T00:22:23Z","abstract_excerpt":"It is known that periodic forcing of nonlinear flows can result in a chaotic response under certain conditions. Such non-periodic and chaotic solutions have been observed in simulations of heterogeneous gas flow in a pipeline with periodic, time-varying boundary conditions. In this paper, we examine a proportional feedback law for boundary control of a parabolic partial differential equation system that represents the flow of two gases through a pipe. We demonstrate that periodic variation of the mass fraction of the lighter gas at the pipe inlet can result in the chaotic propagation of gas pr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2311.04407","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-11-08T00:22:23Z","cross_cats_sorted":["math.OC","nlin.CD","physics.flu-dyn"],"title_canon_sha256":"c4018ad75d441dd5fe31e4f016041117bb045a631e26fb9019fc45851d354b02","abstract_canon_sha256":"52cc101631b21890a29a780d2470d6eb3a7b869a732bf6c273af5cae2b371dd1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:19:57.576290Z","signature_b64":"IRK0dGaXpB3qHDgSSeWr0KAeBV37zeow4aNAFYxjWkrPAWee3mHDgzZBlNcEDgGy5gww41darS8WziXu5sKCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07c5e7722002b468ced4ad56c65fe96c842a64068960f36b13418a302dca72cc","last_reissued_at":"2026-07-05T08:19:57.575787Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:19:57.575787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary Control for Suppressing Chaotic Response to Dynamic Hydrogen Blending in a Gas Pipeline","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.OC","nlin.CD","physics.flu-dyn"],"primary_cat":"math.DS","authors_text":"Anatoly Zlotnik, Luke S. Baker","submitted_at":"2023-11-08T00:22:23Z","abstract_excerpt":"It is known that periodic forcing of nonlinear flows can result in a chaotic response under certain conditions. Such non-periodic and chaotic solutions have been observed in simulations of heterogeneous gas flow in a pipeline with periodic, time-varying boundary conditions. In this paper, we examine a proportional feedback law for boundary control of a parabolic partial differential equation system that represents the flow of two gases through a pipe. We demonstrate that periodic variation of the mass fraction of the lighter gas at the pipe inlet can result in the chaotic propagation of gas pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.04407","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.04407/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2311.04407","created_at":"2026-07-05T08:19:57.575851+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.04407v2","created_at":"2026-07-05T08:19:57.575851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.04407","created_at":"2026-07-05T08:19:57.575851+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7C6O4RAAK2G","created_at":"2026-07-05T08:19:57.575851+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7C6O4RAAK2GRTWU","created_at":"2026-07-05T08:19:57.575851+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7C6O4RA","created_at":"2026-07-05T08:19:57.575851+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS","json":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS.json","graph_json":"https://pith.science/api/pith-number/A7C6O4RAAK2GRTWUVVLMMX7JNS/graph.json","events_json":"https://pith.science/api/pith-number/A7C6O4RAAK2GRTWUVVLMMX7JNS/events.json","paper":"https://pith.science/paper/A7C6O4RA"},"agent_actions":{"view_html":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS","download_json":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS.json","view_paper":"https://pith.science/paper/A7C6O4RA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.04407&json=true","fetch_graph":"https://pith.science/api/pith-number/A7C6O4RAAK2GRTWUVVLMMX7JNS/graph.json","fetch_events":"https://pith.science/api/pith-number/A7C6O4RAAK2GRTWUVVLMMX7JNS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS/action/storage_attestation","attest_author":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS/action/author_attestation","sign_citation":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS/action/citation_signature","submit_replication":"https://pith.science/pith/A7C6O4RAAK2GRTWUVVLMMX7JNS/action/replication_record"}},"created_at":"2026-07-05T08:19:57.575851+00:00","updated_at":"2026-07-05T08:19:57.575851+00:00"}