{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OFSA5J5K4PKVZMBAZ5JOPFXPID","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":"0762a0f3f550960f07b1c8a21d63d7ec38652c1f0d8954d6938cf206dfb44bcc","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-05T16:36:06Z","title_canon_sha256":"2123ea634c71e315cac5c5d03ce46c72fa331675eb95ad65cd0721ecc9835e72"},"schema_version":"1.0","source":{"id":"1812.02094","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02094","created_at":"2026-07-05T01:09:55Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02094v2","created_at":"2026-07-05T01:09:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02094","created_at":"2026-07-05T01:09:55Z"},{"alias_kind":"pith_short_12","alias_value":"OFSA5J5K4PKV","created_at":"2026-07-05T01:09:55Z"},{"alias_kind":"pith_short_16","alias_value":"OFSA5J5K4PKVZMBA","created_at":"2026-07-05T01:09:55Z"},{"alias_kind":"pith_short_8","alias_value":"OFSA5J5K","created_at":"2026-07-05T01:09:55Z"}],"graph_snapshots":[{"event_id":"sha256:8ded5714463ad50d3d6ecdcb0dca1c642c11d25b1ee266bb2533118c336fe594","target":"graph","created_at":"2026-07-05T01:09:55Z","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/1812.02094/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work presents a model reduction approach for problems with coherent structures that propagate over time such as convection-dominated flows and wave-type phenomena. Traditional model reduction methods have difficulties with these transport-dominated problems because propagating coherent structures typically introduce high-dimensional features that require high-dimensional approximation spaces. The approach proposed in this work exploits the locality in space and time of propagating coherent structures to derive efficient reduced models. Full-model solutions are approximated locally in time","authors_text":"Benjamin Peherstorfer","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-05T16:36:06Z","title":"Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02094","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":"sha256:9951332d55a8234d4f183410a51285ff329dfbd8b7d9f4e983a1cd0a845e5e21","target":"record","created_at":"2026-07-05T01:09:55Z","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":"0762a0f3f550960f07b1c8a21d63d7ec38652c1f0d8954d6938cf206dfb44bcc","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-05T16:36:06Z","title_canon_sha256":"2123ea634c71e315cac5c5d03ce46c72fa331675eb95ad65cd0721ecc9835e72"},"schema_version":"1.0","source":{"id":"1812.02094","kind":"arxiv","version":2}},"canonical_sha256":"71640ea7aae3d55cb020cf52e796ef40ef20b85df2cdd6626d4f6b0259200e19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71640ea7aae3d55cb020cf52e796ef40ef20b85df2cdd6626d4f6b0259200e19","first_computed_at":"2026-07-05T01:09:55.209121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:09:55.209121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fWJKqwkJTJxRtv5YAfzBt70I+M6D28S/l2EXcoiODQojZ3L+95tEbPgXeKwtM5HS1IEUsfZcVgXKXXlEszBvDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:09:55.209636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02094","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9951332d55a8234d4f183410a51285ff329dfbd8b7d9f4e983a1cd0a845e5e21","sha256:8ded5714463ad50d3d6ecdcb0dca1c642c11d25b1ee266bb2533118c336fe594"],"state_sha256":"392912b1f0c3ab25c8d6b0e1542a12dfbf2faeb99420f80ea03c031321f8687d"}