{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OPVHHJRMRTEXVU2FAQAXN35SNN","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":"8712ccb022c4604af077b6ba7db2ec8df83c4ba0123a5b556ce042c4a9da21d2","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-05-09T21:01:50Z","title_canon_sha256":"5bd9c7c08855f44d251f333dfaf159fef7bf376de465f6c988d39fb51113f206"},"schema_version":"1.0","source":{"id":"1905.03847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.03847","created_at":"2026-05-17T23:46:35Z"},{"alias_kind":"arxiv_version","alias_value":"1905.03847v1","created_at":"2026-05-17T23:46:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.03847","created_at":"2026-05-17T23:46:35Z"},{"alias_kind":"pith_short_12","alias_value":"OPVHHJRMRTEX","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OPVHHJRMRTEXVU2F","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OPVHHJRM","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:442563a65ec659dce308224f6e3e06cd712f3b5c284160ff390298bd41b702f0","target":"graph","created_at":"2026-05-17T23:46:35Z","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":"During recent decades, there has been a substantial development in optimal mass transport theory and methods. In this work, we consider multi-marginal problems wherein only partial information of each marginal is available, which is a setup common in many inverse problems in, e.g., imaging and spectral estimation. By considering an entropy regularized approximation of the original transport problem, we propose an algorithm corresponding to a block-coordinate ascent of the dual problem, where Newton's algorithm is used to solve the sub-problems. In order to make this computationally tractable f","authors_text":"Andreas Jakobsson, Filip Elvander, Isabel Haasler, Johan Karlsson","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-05-09T21:01:50Z","title":"Multi-Marginal Optimal Mass Transport with Partial Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.03847","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":"sha256:93112bbcef145b2f269e50d6fba49b5ca12f92c72da988d1d2bfaf04346ef763","target":"record","created_at":"2026-05-17T23:46:35Z","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":"8712ccb022c4604af077b6ba7db2ec8df83c4ba0123a5b556ce042c4a9da21d2","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-05-09T21:01:50Z","title_canon_sha256":"5bd9c7c08855f44d251f333dfaf159fef7bf376de465f6c988d39fb51113f206"},"schema_version":"1.0","source":{"id":"1905.03847","kind":"arxiv","version":1}},"canonical_sha256":"73ea73a62c8cc97ad345040176efb26b4a22efe685172b9451993f48542b83d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73ea73a62c8cc97ad345040176efb26b4a22efe685172b9451993f48542b83d2","first_computed_at":"2026-05-17T23:46:35.451676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:35.451676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7bdaQ6vNLIZwa/FartLJZmKOO9NYZ9wrFo3/VhtN507RXlZ8ldBifF7xktW+NapANbyuPDeLCgBO+4K2lfcwCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:35.452339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.03847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93112bbcef145b2f269e50d6fba49b5ca12f92c72da988d1d2bfaf04346ef763","sha256:442563a65ec659dce308224f6e3e06cd712f3b5c284160ff390298bd41b702f0"],"state_sha256":"006ddfc8fbe4e9e9cdf12c69d19775f112a81043a9a2e3cda6b3f1892405f5a6"}