{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HNMNATPKMTTH25EWDBVA2QAYSO","short_pith_number":"pith:HNMNATPK","canonical_record":{"source":{"id":"1411.3409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-13T00:51:19Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"3659c200a9d003d73b106d26975c775bf4f5a250a8b8d7cd3ffe82fd263f3df7","abstract_canon_sha256":"d3c7eeaff2c15e7138bd2e0b55f84fe73c92cbaff0e33f4c237400aeefbea6d3"},"schema_version":"1.0"},"canonical_sha256":"3b58d04dea64e67d7496186a0d4018939e2a35d1fee75fc18ae214ee264d7d30","source":{"kind":"arxiv","id":"1411.3409","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3409","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3409v1","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3409","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"HNMNATPKMTTH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HNMNATPKMTTH25EW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HNMNATPK","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HNMNATPKMTTH25EWDBVA2QAYSO","target":"record","payload":{"canonical_record":{"source":{"id":"1411.3409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-13T00:51:19Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"3659c200a9d003d73b106d26975c775bf4f5a250a8b8d7cd3ffe82fd263f3df7","abstract_canon_sha256":"d3c7eeaff2c15e7138bd2e0b55f84fe73c92cbaff0e33f4c237400aeefbea6d3"},"schema_version":"1.0"},"canonical_sha256":"3b58d04dea64e67d7496186a0d4018939e2a35d1fee75fc18ae214ee264d7d30","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:43.864490Z","signature_b64":"ckXvF9kKPfMUGaAiiz3fKX/1PfsQyUPK34B7Wlo5lH5v2H37zSkHMEiQMC/lw73/VaERGWwreQZO3I6q/Lk+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b58d04dea64e67d7496186a0d4018939e2a35d1fee75fc18ae214ee264d7d30","last_reissued_at":"2026-05-18T02:37:43.863919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:43.863919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.3409","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":"2026-05-18T02:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AMTSAouFkFhn8lcbEm1UqyntRyW2IvDoOXks+Pt7wHQua07UGW0EfCQjptKdIGj8eS8nJ5ztWtd7kbxaIRm6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T10:57:00.012407Z"},"content_sha256":"16502d110b2e64183ee49c0d4acb0807961924581dc189cf64aaf5d9cff63f5a","schema_version":"1.0","event_id":"sha256:16502d110b2e64183ee49c0d4acb0807961924581dc189cf64aaf5d9cff63f5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HNMNATPKMTTH25EWDBVA2QAYSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Randomized Algorithm for CCA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Nikos Karampatziakis, Paul Mineiro","submitted_at":"2014-11-13T00:51:19Z","abstract_excerpt":"We present RandomizedCCA, a randomized algorithm for computing canonical analysis, suitable for large datasets stored either out of core or on a distributed file system. Accurate results can be obtained in as few as two data passes, which is relevant for distributed processing frameworks in which iteration is expensive (e.g., Hadoop). The strategy also provides an excellent initializer for standard iterative solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3409","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":"2026-05-18T02:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7I9aBAOTgZZPzoD+LyTBQmiBCKAc2kMFpJkUb3NjNKa0lwIU094o+ZEakEB8nd6lfgdGi+vqVlnqFVLNjN1WCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T10:57:00.012750Z"},"content_sha256":"205fd5568b10de0739d1e8f8769e9c5dd7e7b5dbe93c3993067b6e3aabb20b45","schema_version":"1.0","event_id":"sha256:205fd5568b10de0739d1e8f8769e9c5dd7e7b5dbe93c3993067b6e3aabb20b45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNMNATPKMTTH25EWDBVA2QAYSO/bundle.json","state_url":"https://pith.science/pith/HNMNATPKMTTH25EWDBVA2QAYSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNMNATPKMTTH25EWDBVA2QAYSO/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":"2026-06-04T10:57:00Z","links":{"resolver":"https://pith.science/pith/HNMNATPKMTTH25EWDBVA2QAYSO","bundle":"https://pith.science/pith/HNMNATPKMTTH25EWDBVA2QAYSO/bundle.json","state":"https://pith.science/pith/HNMNATPKMTTH25EWDBVA2QAYSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNMNATPKMTTH25EWDBVA2QAYSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HNMNATPKMTTH25EWDBVA2QAYSO","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":"d3c7eeaff2c15e7138bd2e0b55f84fe73c92cbaff0e33f4c237400aeefbea6d3","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-13T00:51:19Z","title_canon_sha256":"3659c200a9d003d73b106d26975c775bf4f5a250a8b8d7cd3ffe82fd263f3df7"},"schema_version":"1.0","source":{"id":"1411.3409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3409","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3409v1","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3409","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"HNMNATPKMTTH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HNMNATPKMTTH25EW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HNMNATPK","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:205fd5568b10de0739d1e8f8769e9c5dd7e7b5dbe93c3993067b6e3aabb20b45","target":"graph","created_at":"2026-05-18T02:37:43Z","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":"We present RandomizedCCA, a randomized algorithm for computing canonical analysis, suitable for large datasets stored either out of core or on a distributed file system. Accurate results can be obtained in as few as two data passes, which is relevant for distributed processing frameworks in which iteration is expensive (e.g., Hadoop). The strategy also provides an excellent initializer for standard iterative solutions.","authors_text":"Nikos Karampatziakis, Paul Mineiro","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-13T00:51:19Z","title":"A Randomized Algorithm for CCA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3409","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":"sha256:16502d110b2e64183ee49c0d4acb0807961924581dc189cf64aaf5d9cff63f5a","target":"record","created_at":"2026-05-18T02:37:43Z","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":"d3c7eeaff2c15e7138bd2e0b55f84fe73c92cbaff0e33f4c237400aeefbea6d3","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-13T00:51:19Z","title_canon_sha256":"3659c200a9d003d73b106d26975c775bf4f5a250a8b8d7cd3ffe82fd263f3df7"},"schema_version":"1.0","source":{"id":"1411.3409","kind":"arxiv","version":1}},"canonical_sha256":"3b58d04dea64e67d7496186a0d4018939e2a35d1fee75fc18ae214ee264d7d30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b58d04dea64e67d7496186a0d4018939e2a35d1fee75fc18ae214ee264d7d30","first_computed_at":"2026-05-18T02:37:43.863919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:43.863919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ckXvF9kKPfMUGaAiiz3fKX/1PfsQyUPK34B7Wlo5lH5v2H37zSkHMEiQMC/lw73/VaERGWwreQZO3I6q/Lk+Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:43.864490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16502d110b2e64183ee49c0d4acb0807961924581dc189cf64aaf5d9cff63f5a","sha256:205fd5568b10de0739d1e8f8769e9c5dd7e7b5dbe93c3993067b6e3aabb20b45"],"state_sha256":"539199e9a9d6b870f116267edf469aeac26678f5d97b5f8d212f619c56f93d1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OaATd65Q8buQanlW+uDedjfGmrUyZT7Gi6+4VZnjK0LtG8nx5bAXDS/2RY9zLRFGTLIfmDhN6HuaYTztqOSIBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T10:57:00.014691Z","bundle_sha256":"ba2da917d2396ec08d5d28bc4f7bdbe9110908563675cb2bbf0827a1f6a4c29c"}}