{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YI6DSORM23Q6VIXNCJ7YVKT4VJ","short_pith_number":"pith:YI6DSORM","canonical_record":{"source":{"id":"1408.6693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-08-28T12:11:43Z","cross_cats_sorted":[],"title_canon_sha256":"07a6765b96599f239b68fed91c11af40899986894dc671a8965a1b1b88a3ab17","abstract_canon_sha256":"ec91f39cd0ee42ff89f49003473d87a01ce149683515c0ac99171dc126dd7e1d"},"schema_version":"1.0"},"canonical_sha256":"c23c393a2cd6e1eaa2ed127f8aaa7caa64eccff4eecaef4bc8e39efa37f664d4","source":{"kind":"arxiv","id":"1408.6693","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6693","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6693v1","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6693","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"pith_short_12","alias_value":"YI6DSORM23Q6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YI6DSORM23Q6VIXN","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YI6DSORM","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YI6DSORM23Q6VIXNCJ7YVKT4VJ","target":"record","payload":{"canonical_record":{"source":{"id":"1408.6693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-08-28T12:11:43Z","cross_cats_sorted":[],"title_canon_sha256":"07a6765b96599f239b68fed91c11af40899986894dc671a8965a1b1b88a3ab17","abstract_canon_sha256":"ec91f39cd0ee42ff89f49003473d87a01ce149683515c0ac99171dc126dd7e1d"},"schema_version":"1.0"},"canonical_sha256":"c23c393a2cd6e1eaa2ed127f8aaa7caa64eccff4eecaef4bc8e39efa37f664d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:01.035465Z","signature_b64":"Qf1ia3TVmzdiRPs+jxtESk5Z2IyoNgEySFtJ6QxnV5GWSTLCCN1bhQv0yP5WaeuoAHndiI+1x10xG0ArkeyFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c23c393a2cd6e1eaa2ed127f8aaa7caa64eccff4eecaef4bc8e39efa37f664d4","last_reissued_at":"2026-05-18T02:44:01.035036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:01.035036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.6693","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":"2026-05-18T02:44:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IO3j8bjZfBoKaK+CJLEuVfIOprGkXjkl8hAn9zNRBz9Ga5h1M0NPMr+kk1wbQbeESTzg3yRgAw58DiXutWY7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:54:19.249039Z"},"content_sha256":"c6f0bd39734bc16f42f0c55a6c858a7586afcfc8360907ee56f4ad666e72cfc6","schema_version":"1.0","event_id":"sha256:c6f0bd39734bc16f42f0c55a6c858a7586afcfc8360907ee56f4ad666e72cfc6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YI6DSORM23Q6VIXNCJ7YVKT4VJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A study of the fixed points and spurious solutions of the FastICA algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Tianwen Wei","submitted_at":"2014-08-28T12:11:43Z","abstract_excerpt":"The FastICA algorithm is one of the most popular iterative algorithms in the domain of linear independent component analysis. Despite its success, it is observed that FastICA occasionally yields outcomes that do not correspond to any true solutions (known as demixing vectors) of the ICA problem. These outcomes are commonly referred to as spurious solutions. Although FastICA is among the most extensively studied ICA algorithms, the occurrence of spurious solutions are not yet completely understood by the community. In this contribution, we aim at addressing this issue. In the first part of this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6693","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":"2026-05-18T02:44:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1kwFE3bO0YrQbSj+lLsI/dmsIzoxADAUOshHmBK8CkI5nOoEcBCeY51Bd4agld0cUYyzl1sJaXqwpvw86UCuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:54:19.249659Z"},"content_sha256":"3bc139b499aab4308d3075cd188a096eed56ec3438839e8a0660d93b4b4d9efc","schema_version":"1.0","event_id":"sha256:3bc139b499aab4308d3075cd188a096eed56ec3438839e8a0660d93b4b4d9efc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ/bundle.json","state_url":"https://pith.science/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ/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":"2026-05-27T00:54:19Z","links":{"resolver":"https://pith.science/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ","bundle":"https://pith.science/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ/bundle.json","state":"https://pith.science/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YI6DSORM23Q6VIXNCJ7YVKT4VJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YI6DSORM23Q6VIXNCJ7YVKT4VJ","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":"ec91f39cd0ee42ff89f49003473d87a01ce149683515c0ac99171dc126dd7e1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-08-28T12:11:43Z","title_canon_sha256":"07a6765b96599f239b68fed91c11af40899986894dc671a8965a1b1b88a3ab17"},"schema_version":"1.0","source":{"id":"1408.6693","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6693","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6693v1","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6693","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"pith_short_12","alias_value":"YI6DSORM23Q6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YI6DSORM23Q6VIXN","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YI6DSORM","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:3bc139b499aab4308d3075cd188a096eed56ec3438839e8a0660d93b4b4d9efc","target":"graph","created_at":"2026-05-18T02:44:01Z","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 FastICA algorithm is one of the most popular iterative algorithms in the domain of linear independent component analysis. Despite its success, it is observed that FastICA occasionally yields outcomes that do not correspond to any true solutions (known as demixing vectors) of the ICA problem. These outcomes are commonly referred to as spurious solutions. Although FastICA is among the most extensively studied ICA algorithms, the occurrence of spurious solutions are not yet completely understood by the community. In this contribution, we aim at addressing this issue. In the first part of this","authors_text":"Tianwen Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-08-28T12:11:43Z","title":"A study of the fixed points and spurious solutions of the FastICA algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6693","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:c6f0bd39734bc16f42f0c55a6c858a7586afcfc8360907ee56f4ad666e72cfc6","target":"record","created_at":"2026-05-18T02:44:01Z","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":"ec91f39cd0ee42ff89f49003473d87a01ce149683515c0ac99171dc126dd7e1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-08-28T12:11:43Z","title_canon_sha256":"07a6765b96599f239b68fed91c11af40899986894dc671a8965a1b1b88a3ab17"},"schema_version":"1.0","source":{"id":"1408.6693","kind":"arxiv","version":1}},"canonical_sha256":"c23c393a2cd6e1eaa2ed127f8aaa7caa64eccff4eecaef4bc8e39efa37f664d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c23c393a2cd6e1eaa2ed127f8aaa7caa64eccff4eecaef4bc8e39efa37f664d4","first_computed_at":"2026-05-18T02:44:01.035036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:01.035036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qf1ia3TVmzdiRPs+jxtESk5Z2IyoNgEySFtJ6QxnV5GWSTLCCN1bhQv0yP5WaeuoAHndiI+1x10xG0ArkeyFDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:01.035465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6693","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6f0bd39734bc16f42f0c55a6c858a7586afcfc8360907ee56f4ad666e72cfc6","sha256:3bc139b499aab4308d3075cd188a096eed56ec3438839e8a0660d93b4b4d9efc"],"state_sha256":"d8a73fd416d2443955b9279d6a174b84ab523d2a9aad07574aa3b15163bf3b65"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pFelCKOnB3Z54lsuzvpEAmA7ry/jUBC/jctMsO0tqfkssmfARE19RO8/tccq0TeMJ5wCWaH3yIHXlL71cM85Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:54:19.252985Z","bundle_sha256":"b2a0c7665e1d86020f070d6889c9747d951334c3575e821f92db2e3fd8aeb21e"}}