{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:75OVMJ4PXVGLASZB5XDTYWAANS","short_pith_number":"pith:75OVMJ4P","schema_version":"1.0","canonical_sha256":"ff5d56278fbd4cb04b21edc73c58006ca4a2d5188995f2fb37aee8c7eb1addf9","source":{"kind":"arxiv","id":"1907.08260","version":2},"attestation_state":"computed","paper":{"title":"A geometric approach to the transport of discontinuous densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP","stat.CO"],"primary_cat":"physics.data-an","authors_text":"Caroline Moosm\\\"uller, Felix Dietrich, Ioannis G. Kevrekidis","submitted_at":"2019-07-18T19:33:25Z","abstract_excerpt":"Different observations of a relation between inputs (\"sources\") and outputs (\"targets\") are often reported in terms of histograms (discretizations of the source and the target densities). Transporting these densities to each other provides insight regarding the underlying relation. In (forward) uncertainty quantification, one typically studies how the distribution of inputs to a system affects the distribution of the system responses. Here, we focus on the identification of the system (the transport map) itself, once the input and output distributions are determined, and suggest a modification"},"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":"1907.08260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-07-18T19:33:25Z","cross_cats_sorted":["stat.AP","stat.CO"],"title_canon_sha256":"542d449f8256b40ef1409d9f8fd03e6de79bde90450a49f9509110c0bb9f151b","abstract_canon_sha256":"c6387528980b7c37a32c951e2a6fb0bb863f054e378e1add8d633fe7eeca1782"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:39.211015Z","signature_b64":"DF0Un4sF/pGV0ggK47F9uI9sX+SgShrjNc66r5XRJ2QHyRfQ/PNQ5ABj17+zcGqORGnouQDFEmHKrwBjxzSjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff5d56278fbd4cb04b21edc73c58006ca4a2d5188995f2fb37aee8c7eb1addf9","last_reissued_at":"2026-05-17T23:39:39.210592Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:39.210592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A geometric approach to the transport of discontinuous densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP","stat.CO"],"primary_cat":"physics.data-an","authors_text":"Caroline Moosm\\\"uller, Felix Dietrich, Ioannis G. Kevrekidis","submitted_at":"2019-07-18T19:33:25Z","abstract_excerpt":"Different observations of a relation between inputs (\"sources\") and outputs (\"targets\") are often reported in terms of histograms (discretizations of the source and the target densities). Transporting these densities to each other provides insight regarding the underlying relation. In (forward) uncertainty quantification, one typically studies how the distribution of inputs to a system affects the distribution of the system responses. Here, we focus on the identification of the system (the transport map) itself, once the input and output distributions are determined, and suggest a modification"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08260","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":""},"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":"1907.08260","created_at":"2026-05-17T23:39:39.210653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.08260v2","created_at":"2026-05-17T23:39:39.210653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08260","created_at":"2026-05-17T23:39:39.210653+00:00"},{"alias_kind":"pith_short_12","alias_value":"75OVMJ4PXVGL","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"75OVMJ4PXVGLASZB","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"75OVMJ4P","created_at":"2026-05-18T12:33:12.712433+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/75OVMJ4PXVGLASZB5XDTYWAANS","json":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS.json","graph_json":"https://pith.science/api/pith-number/75OVMJ4PXVGLASZB5XDTYWAANS/graph.json","events_json":"https://pith.science/api/pith-number/75OVMJ4PXVGLASZB5XDTYWAANS/events.json","paper":"https://pith.science/paper/75OVMJ4P"},"agent_actions":{"view_html":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS","download_json":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS.json","view_paper":"https://pith.science/paper/75OVMJ4P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.08260&json=true","fetch_graph":"https://pith.science/api/pith-number/75OVMJ4PXVGLASZB5XDTYWAANS/graph.json","fetch_events":"https://pith.science/api/pith-number/75OVMJ4PXVGLASZB5XDTYWAANS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS/action/storage_attestation","attest_author":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS/action/author_attestation","sign_citation":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS/action/citation_signature","submit_replication":"https://pith.science/pith/75OVMJ4PXVGLASZB5XDTYWAANS/action/replication_record"}},"created_at":"2026-05-17T23:39:39.210653+00:00","updated_at":"2026-05-17T23:39:39.210653+00:00"}