{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FB3WYTUILJS3D6N5Z2YRRTUIPE","short_pith_number":"pith:FB3WYTUI","canonical_record":{"source":{"id":"1606.00800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-06-02T18:51:09Z","cross_cats_sorted":["cs.CV","cs.SI","q-bio.NC"],"title_canon_sha256":"729fa1b8843336bdf80f0c48d027dbd5812c9e503dd66ca8ff5312befbfe5ded","abstract_canon_sha256":"8f088fff5147bd796a1d8368cee9f08a3a15855f550076a9ec67ff1a19c696c5"},"schema_version":"1.0"},"canonical_sha256":"28776c4e885a65b1f9bdceb118ce88790d032f6bdd2fdc5e6f93f31f88122c02","source":{"kind":"arxiv","id":"1606.00800","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00800","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00800v2","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00800","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"FB3WYTUILJS3","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FB3WYTUILJS3D6N5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FB3WYTUI","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FB3WYTUILJS3D6N5Z2YRRTUIPE","target":"record","payload":{"canonical_record":{"source":{"id":"1606.00800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-06-02T18:51:09Z","cross_cats_sorted":["cs.CV","cs.SI","q-bio.NC"],"title_canon_sha256":"729fa1b8843336bdf80f0c48d027dbd5812c9e503dd66ca8ff5312befbfe5ded","abstract_canon_sha256":"8f088fff5147bd796a1d8368cee9f08a3a15855f550076a9ec67ff1a19c696c5"},"schema_version":"1.0"},"canonical_sha256":"28776c4e885a65b1f9bdceb118ce88790d032f6bdd2fdc5e6f93f31f88122c02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:19.675122Z","signature_b64":"EoxT2JWDbILolUdPR5tV5/xK9ItgpVxYsG//1+6M6GKLuOopRRju/7NHxuGLlm4Pu7WAkz5M65R8xCzZMin4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28776c4e885a65b1f9bdceb118ce88790d032f6bdd2fdc5e6f93f31f88122c02","last_reissued_at":"2026-05-18T01:12:19.674748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:19.674748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.00800","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FYPwmakJ/a6P3OcnRMu2sz70nNvJ9DM3fyA0pBjegGu/95jEzvrt4jpvFwa/Kvcl82TBI0KEiNVnLKbPqEWGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T16:21:31.906408Z"},"content_sha256":"f1790d5082b370d55d1b55b28595268d526216b891b4a729681472a7419ae2e3","schema_version":"1.0","event_id":"sha256:f1790d5082b370d55d1b55b28595268d526216b891b4a729681472a7419ae2e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FB3WYTUILJS3D6N5Z2YRRTUIPE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-View Treelet Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","cs.SI","q-bio.NC"],"primary_cat":"stat.ML","authors_text":"Brian A. Mitchell, Linda R. Petzold","submitted_at":"2016-06-02T18:51:09Z","abstract_excerpt":"Current multi-view factorization methods make assumptions that are not acceptable for many kinds of data, and in particular, for graphical data with hierarchical structure. At the same time, current hierarchical methods work only in the single-view setting. We generalize the Treelet Transform to the Multi-View Treelet Transform (MVTT) to allow for the capture of hierarchical structure when multiple views are available. Further, we show how this generalization is consistent with the existing theory and how it might be used in denoising empirical networks and in computing the shared response of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00800","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JsckYJoq366d3oQ9qBwEsBLPEzHzgcaQh5MnZmsi7Nzo1QFTO9cmHrISzQwqSuTpC7mSSz0/QMB3YVIQJaG1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T16:21:31.906993Z"},"content_sha256":"6824d622e85a4b36a29697c74e0b8574046cd4c872e3b6ce304109b3af21ef8c","schema_version":"1.0","event_id":"sha256:6824d622e85a4b36a29697c74e0b8574046cd4c872e3b6ce304109b3af21ef8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE/bundle.json","state_url":"https://pith.science/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-19T16:21:31Z","links":{"resolver":"https://pith.science/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE","bundle":"https://pith.science/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE/bundle.json","state":"https://pith.science/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FB3WYTUILJS3D6N5Z2YRRTUIPE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FB3WYTUILJS3D6N5Z2YRRTUIPE","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":"8f088fff5147bd796a1d8368cee9f08a3a15855f550076a9ec67ff1a19c696c5","cross_cats_sorted":["cs.CV","cs.SI","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-06-02T18:51:09Z","title_canon_sha256":"729fa1b8843336bdf80f0c48d027dbd5812c9e503dd66ca8ff5312befbfe5ded"},"schema_version":"1.0","source":{"id":"1606.00800","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00800","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00800v2","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00800","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"FB3WYTUILJS3","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FB3WYTUILJS3D6N5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FB3WYTUI","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:6824d622e85a4b36a29697c74e0b8574046cd4c872e3b6ce304109b3af21ef8c","target":"graph","created_at":"2026-05-18T01:12:19Z","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":"Current multi-view factorization methods make assumptions that are not acceptable for many kinds of data, and in particular, for graphical data with hierarchical structure. At the same time, current hierarchical methods work only in the single-view setting. We generalize the Treelet Transform to the Multi-View Treelet Transform (MVTT) to allow for the capture of hierarchical structure when multiple views are available. Further, we show how this generalization is consistent with the existing theory and how it might be used in denoising empirical networks and in computing the shared response of ","authors_text":"Brian A. Mitchell, Linda R. Petzold","cross_cats":["cs.CV","cs.SI","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-06-02T18:51:09Z","title":"Multi-View Treelet Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00800","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:f1790d5082b370d55d1b55b28595268d526216b891b4a729681472a7419ae2e3","target":"record","created_at":"2026-05-18T01:12:19Z","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":"8f088fff5147bd796a1d8368cee9f08a3a15855f550076a9ec67ff1a19c696c5","cross_cats_sorted":["cs.CV","cs.SI","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-06-02T18:51:09Z","title_canon_sha256":"729fa1b8843336bdf80f0c48d027dbd5812c9e503dd66ca8ff5312befbfe5ded"},"schema_version":"1.0","source":{"id":"1606.00800","kind":"arxiv","version":2}},"canonical_sha256":"28776c4e885a65b1f9bdceb118ce88790d032f6bdd2fdc5e6f93f31f88122c02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28776c4e885a65b1f9bdceb118ce88790d032f6bdd2fdc5e6f93f31f88122c02","first_computed_at":"2026-05-18T01:12:19.674748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:19.674748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EoxT2JWDbILolUdPR5tV5/xK9ItgpVxYsG//1+6M6GKLuOopRRju/7NHxuGLlm4Pu7WAkz5M65R8xCzZMin4AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:19.675122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00800","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1790d5082b370d55d1b55b28595268d526216b891b4a729681472a7419ae2e3","sha256:6824d622e85a4b36a29697c74e0b8574046cd4c872e3b6ce304109b3af21ef8c"],"state_sha256":"6887ae09630774967f55de513ac71ba573a46c59efe5d55574b95149c50701d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"++r1GAgWxMobz+yq8s2/XVfcHtNW9NgAgKuJaQO2b3ITLfNchiLgDhxHxzdHIWdfez6b1ePvM/6iibYdylkiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T16:21:31.911275Z","bundle_sha256":"932c1d2e51635586946de6f3b2e1fca66368361edceafb1a3bbeb05415c8bf5b"}}