{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UPSRBU2JEGWHXZLOCCUZ4VJRAC","short_pith_number":"pith:UPSRBU2J","canonical_record":{"source":{"id":"1206.6833","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-06-27T16:18:05Z","cross_cats_sorted":["cs.CE","cs.NA","stat.ML"],"title_canon_sha256":"58c4d5f4acbd56990af186c5de7bb4930803349a0b986e42fac961c57aa142c2","abstract_canon_sha256":"57c41b8ec8debf03974e3be52c51394f6be7d48ce54effa523ee9f650ff9b25e"},"schema_version":"1.0"},"canonical_sha256":"a3e510d34921ac7be56e10a99e553100a687daf139e1548c7c1a4fe42df79078","source":{"kind":"arxiv","id":"1206.6833","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6833","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6833v1","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6833","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"UPSRBU2JEGWH","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UPSRBU2JEGWHXZLO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UPSRBU2J","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UPSRBU2JEGWHXZLOCCUZ4VJRAC","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6833","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-06-27T16:18:05Z","cross_cats_sorted":["cs.CE","cs.NA","stat.ML"],"title_canon_sha256":"58c4d5f4acbd56990af186c5de7bb4930803349a0b986e42fac961c57aa142c2","abstract_canon_sha256":"57c41b8ec8debf03974e3be52c51394f6be7d48ce54effa523ee9f650ff9b25e"},"schema_version":"1.0"},"canonical_sha256":"a3e510d34921ac7be56e10a99e553100a687daf139e1548c7c1a4fe42df79078","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:15.716159Z","signature_b64":"HAVyqUVNx2YdPzXBXJotJwogMHikmbVAU5Ho5DJcPmqklAGXnCnVzclytWtLp94q1rXLZ7tURSD1G4GENIFJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3e510d34921ac7be56e10a99e553100a687daf139e1548c7c1a4fe42df79078","last_reissued_at":"2026-05-18T03:52:15.715501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:15.715501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6833","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:52:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"91UH6x1cowTMCb1YX978HGTi55XcsMSWi4R0YE4dV6x97XcZGQoOjLVo9FT47OhST1dE8/qUl9qYSNfkZXdyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:12:36.222565Z"},"content_sha256":"8e1a121f452c8ed0ed6ca0c0e4d42c84e8ed4d4ecbfc5e5151b03965ffdab867","schema_version":"1.0","event_id":"sha256:8e1a121f452c8ed0ed6ca0c0e4d42c84e8ed4d4ecbfc5e5151b03965ffdab867"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UPSRBU2JEGWHXZLOCCUZ4VJRAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix Tile Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.NA","stat.ML"],"primary_cat":"cs.LG","authors_text":"Brendan J. Frey, Inmar Givoni, Vincent Cheung","submitted_at":"2012-06-27T16:18:05Z","abstract_excerpt":"Many tasks require finding groups of elements in a matrix of numbers, symbols or class likelihoods. One approach is to use efficient bi- or tri-linear factorization techniques including PCA, ICA, sparse matrix factorization and plaid analysis. These techniques are not appropriate when addition and multiplication of matrix elements are not sensibly defined. More directly, methods like bi-clustering can be used to classify matrix elements, but these methods make the overly-restrictive assumption that the class of each element is a function of a row class and a column class. We introduce a genera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6833","kind":"arxiv","version":1},"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":"2026-05-18T03:52:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHAlnLPY2ok+uyEItO+BDNKYANEVoCBzhJ1PEQ/NFvfMY3Iz58SNedlPtG5JlQ2Y+kMZtdlZG2h1qC8pKNc4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:12:36.222902Z"},"content_sha256":"c4d2e2c49e22f6b57baf8818822ed1f31755fbaaa4ffc005a243e2cd17a45016","schema_version":"1.0","event_id":"sha256:c4d2e2c49e22f6b57baf8818822ed1f31755fbaaa4ffc005a243e2cd17a45016"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC/bundle.json","state_url":"https://pith.science/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC/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":"2026-06-08T12:12:36Z","links":{"resolver":"https://pith.science/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC","bundle":"https://pith.science/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC/bundle.json","state":"https://pith.science/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPSRBU2JEGWHXZLOCCUZ4VJRAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UPSRBU2JEGWHXZLOCCUZ4VJRAC","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":"57c41b8ec8debf03974e3be52c51394f6be7d48ce54effa523ee9f650ff9b25e","cross_cats_sorted":["cs.CE","cs.NA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-06-27T16:18:05Z","title_canon_sha256":"58c4d5f4acbd56990af186c5de7bb4930803349a0b986e42fac961c57aa142c2"},"schema_version":"1.0","source":{"id":"1206.6833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6833","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6833v1","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6833","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"UPSRBU2JEGWH","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UPSRBU2JEGWHXZLO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UPSRBU2J","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:c4d2e2c49e22f6b57baf8818822ed1f31755fbaaa4ffc005a243e2cd17a45016","target":"graph","created_at":"2026-05-18T03:52:15Z","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":"Many tasks require finding groups of elements in a matrix of numbers, symbols or class likelihoods. One approach is to use efficient bi- or tri-linear factorization techniques including PCA, ICA, sparse matrix factorization and plaid analysis. These techniques are not appropriate when addition and multiplication of matrix elements are not sensibly defined. More directly, methods like bi-clustering can be used to classify matrix elements, but these methods make the overly-restrictive assumption that the class of each element is a function of a row class and a column class. We introduce a genera","authors_text":"Brendan J. Frey, Inmar Givoni, Vincent Cheung","cross_cats":["cs.CE","cs.NA","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-06-27T16:18:05Z","title":"Matrix Tile Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6833","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":"sha256:8e1a121f452c8ed0ed6ca0c0e4d42c84e8ed4d4ecbfc5e5151b03965ffdab867","target":"record","created_at":"2026-05-18T03:52:15Z","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":"57c41b8ec8debf03974e3be52c51394f6be7d48ce54effa523ee9f650ff9b25e","cross_cats_sorted":["cs.CE","cs.NA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-06-27T16:18:05Z","title_canon_sha256":"58c4d5f4acbd56990af186c5de7bb4930803349a0b986e42fac961c57aa142c2"},"schema_version":"1.0","source":{"id":"1206.6833","kind":"arxiv","version":1}},"canonical_sha256":"a3e510d34921ac7be56e10a99e553100a687daf139e1548c7c1a4fe42df79078","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3e510d34921ac7be56e10a99e553100a687daf139e1548c7c1a4fe42df79078","first_computed_at":"2026-05-18T03:52:15.715501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:15.715501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HAVyqUVNx2YdPzXBXJotJwogMHikmbVAU5Ho5DJcPmqklAGXnCnVzclytWtLp94q1rXLZ7tURSD1G4GENIFJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:15.716159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e1a121f452c8ed0ed6ca0c0e4d42c84e8ed4d4ecbfc5e5151b03965ffdab867","sha256:c4d2e2c49e22f6b57baf8818822ed1f31755fbaaa4ffc005a243e2cd17a45016"],"state_sha256":"5d4908706ea3f9bdfa5be55397b5a3321837ed1ba41ed8b5f62302c853b7dde5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hG11Zv4KnGRfQod1SLrxV/fKJQjtR9dz6MiAlOAk1eUOu/CisG6mVkBhPUFa7hUig1PgELw3kw/0V80zlKjNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:12:36.224777Z","bundle_sha256":"260852cd4b8992480848258d3e9b88bb0ab61268aac821c7b5ffb9460d5af899"}}