{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:E7ATE26PRT2G2ZJFDEAP5JZS2Q","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":"36da4f097f43b2346cc5332393c53e8308ac96f115f6eaec5bb5c8d8b7fe1b89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-28T14:19:30Z","title_canon_sha256":"7e6b74e1c6c4190c4e0a200241e9428e68376a70e927402b42efc3921b895376"},"schema_version":"1.0","source":{"id":"1504.07491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07491","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07491v1","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07491","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"E7ATE26PRT2G","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"E7ATE26PRT2G2ZJF","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"E7ATE26P","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:54efb63886afe202bfd6b223513d8b6063899884d123df436ef0685f013a696a","target":"graph","created_at":"2026-05-18T02:17:34Z","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":"Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counter-convecting (\"heterodirectional\") transport PDEs with distributed local coupling and with controls at one or both boundaries. A recent extension allows stabilization using only one control for a system containing an arbitrary number of coupled transport PDEs that convect at different speeds against the direction of the PDE whose boundary is actuated. In this paper we present a solution to the fully general case, in which the number of PDEs in either direction is arbitrary, and where actuatio","authors_text":"Florent Di Meglio, Long Hu, Miroslav Krstic, Rafael Vazquez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-28T14:19:30Z","title":"Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07491","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":"sha256:2fc36836a737ba258852e96fd44f9fecc20e5193a15767b91efc41f09ee6a2ea","target":"record","created_at":"2026-05-18T02:17:34Z","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":"36da4f097f43b2346cc5332393c53e8308ac96f115f6eaec5bb5c8d8b7fe1b89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-28T14:19:30Z","title_canon_sha256":"7e6b74e1c6c4190c4e0a200241e9428e68376a70e927402b42efc3921b895376"},"schema_version":"1.0","source":{"id":"1504.07491","kind":"arxiv","version":1}},"canonical_sha256":"27c1326bcf8cf46d65251900fea732d416e44edaaa76f0049bf12d3e9f231dc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27c1326bcf8cf46d65251900fea732d416e44edaaa76f0049bf12d3e9f231dc0","first_computed_at":"2026-05-18T02:17:34.551972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:34.551972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+BvhUQlUSaj6po7S8OJaNWLm6ssmmfGtAYhtn3SZpBOL5YdTgLKFAgDpsAs7tIN0BqcGWxtKsR1yiCCNgtPlAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:34.552806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fc36836a737ba258852e96fd44f9fecc20e5193a15767b91efc41f09ee6a2ea","sha256:54efb63886afe202bfd6b223513d8b6063899884d123df436ef0685f013a696a"],"state_sha256":"f48a66d92cbfc5152fa5d3ab2cf3a6d7792b4b82ce20c828ad35db3d49fed97a"}