{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YHRCE3KDLLC2F6JEUXG5MU66VX","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":"8f73974e31b8defa86b7cd42261c9a77e78b35a2e1d7d9d8dd7ed03612ddb3f2","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-07-12T15:11:19Z","title_canon_sha256":"d7e053474492cd886a8c4843e6168c5461c14a90ad6b6106c4d36b943935ad1b"},"schema_version":"1.0","source":{"id":"1907.05783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.05783","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"arxiv_version","alias_value":"1907.05783v1","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05783","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"pith_short_12","alias_value":"YHRCE3KDLLC2","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YHRCE3KDLLC2F6JE","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YHRCE3KD","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:a0952aeebed566e09be90a027571f025120ccfea6f470a970a5c814d154a980f","target":"graph","created_at":"2026-05-17T23:40:44Z","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"},"paper":{"abstract_excerpt":"The connection of edges in a graph generates a structure that is independent of a coordinate system. This visual metaphor allows creating a more flexible representation of data than a two-dimensional scatterplot. In this work, we present STAD (Spanning Trees as Approximation of Data), a dimensionality reduction method to approximate the high-dimensional structure into a graph with or without formulating prior hypotheses. STAD generates an abstract representation of high-dimensional data by giving each data point a location in a graph which preserves the distances in the original high-dimension","authors_text":"Daniel Alcaide, Jan Aerts","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-07-12T15:11:19Z","title":"Improving the Projection of Global Structures in Data through Spanning Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05783","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":"sha256:2085021908366620f4b1d228112b9e3c8b1418038d8d8e81aa23f859314ed5c5","target":"record","created_at":"2026-05-17T23:40:44Z","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":"8f73974e31b8defa86b7cd42261c9a77e78b35a2e1d7d9d8dd7ed03612ddb3f2","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-07-12T15:11:19Z","title_canon_sha256":"d7e053474492cd886a8c4843e6168c5461c14a90ad6b6106c4d36b943935ad1b"},"schema_version":"1.0","source":{"id":"1907.05783","kind":"arxiv","version":1}},"canonical_sha256":"c1e2226d435ac5a2f924a5cdd653deadf9ca6a07ccbb610575eb35cfea17a28b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1e2226d435ac5a2f924a5cdd653deadf9ca6a07ccbb610575eb35cfea17a28b","first_computed_at":"2026-05-17T23:40:44.427839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:44.427839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vktfmNE36r80vUW+2bRqi5SdPLOk4me2+1j8Z+okqSYfyMEPf+QmXNOlGyh7TV0OoOA8rDN0Ze9Z1vlhRmp5Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:44.428592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.05783","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2085021908366620f4b1d228112b9e3c8b1418038d8d8e81aa23f859314ed5c5","sha256:a0952aeebed566e09be90a027571f025120ccfea6f470a970a5c814d154a980f"],"state_sha256":"632481df4fd9100e4ee22ccfd3f2bd37875c2d907264e62cf4034906ede6e163"}