{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:35JKN5WMGWNO4KI4UWH4DYWXRI","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":"9d3f96c2dc6df92e85a204a85c86bf9c01ece610fcc954b9e722875f308220f7","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-03-30T20:15:09Z","title_canon_sha256":"91f0ba6bb419b83f6d84a146bb6ba711f5787ff979d70dd56c71cb0d892c7815"},"schema_version":"1.0","source":{"id":"2303.17692","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.17692","created_at":"2026-07-05T06:33:44Z"},{"alias_kind":"arxiv_version","alias_value":"2303.17692v2","created_at":"2026-07-05T06:33:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.17692","created_at":"2026-07-05T06:33:44Z"},{"alias_kind":"pith_short_12","alias_value":"35JKN5WMGWNO","created_at":"2026-07-05T06:33:44Z"},{"alias_kind":"pith_short_16","alias_value":"35JKN5WMGWNO4KI4","created_at":"2026-07-05T06:33:44Z"},{"alias_kind":"pith_short_8","alias_value":"35JKN5WM","created_at":"2026-07-05T06:33:44Z"}],"graph_snapshots":[{"event_id":"sha256:61ed94639e29ad4e63f5864fdf8b69b34e4c0b36251ba194957ce40cbd1537d3","target":"graph","created_at":"2026-07-05T06:33:44Z","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/2303.17692/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The blending of hydrogen generated using clean energy into natural gas pipeline networks is proposed in order to utilize existing energy systems for their planned lifetimes while reducing their reliance on fossil fuels. We formulate a system of partial differential equations (PDEs) that govern the flow dynamics of mixtures of gases in pipeline networks under the influence of time-varying compressor and regulator control actions. The formulation is derived for general gas networks that can inject or withdraw arbitrary time-varying mixtures of gases into or from the network at arbitrarily specif","authors_text":"Anatoly Zlotnik, Luke S. Baker, Saif R. Kazi","cross_cats":["nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-03-30T20:15:09Z","title":"Transitions from Monotonicity to Chaos in Gas Mixture Dynamics in Pipeline Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.17692","kind":"arxiv","version":2},"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":"sha256:9106b89dd47c575838fe51b03e30dcf958a051faa63a2c7ff07cc5fe1100dc39","target":"record","created_at":"2026-07-05T06:33:44Z","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":"9d3f96c2dc6df92e85a204a85c86bf9c01ece610fcc954b9e722875f308220f7","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-03-30T20:15:09Z","title_canon_sha256":"91f0ba6bb419b83f6d84a146bb6ba711f5787ff979d70dd56c71cb0d892c7815"},"schema_version":"1.0","source":{"id":"2303.17692","kind":"arxiv","version":2}},"canonical_sha256":"df52a6f6cc359aee291ca58fc1e2d78a10ff6b500d99654329854afd8ca17bf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df52a6f6cc359aee291ca58fc1e2d78a10ff6b500d99654329854afd8ca17bf6","first_computed_at":"2026-07-05T06:33:44.634949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:33:44.634949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8BoMd6bgPlP153/b7tt4gHtuLnPmrmg2BEclOVl2XqcQUIZqgGfnw8wuH9uXImrrfulYVc6M3I0GAlO0Zb59Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T06:33:44.635409Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.17692","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9106b89dd47c575838fe51b03e30dcf958a051faa63a2c7ff07cc5fe1100dc39","sha256:61ed94639e29ad4e63f5864fdf8b69b34e4c0b36251ba194957ce40cbd1537d3"],"state_sha256":"56ea0b0dedf1500f302a991a1853b412f2d7315b0ec32335401c8e0a9afee81f"}