{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LXDHZQHZXA23WTZUOD5RDH7SAL","short_pith_number":"pith:LXDHZQHZ","canonical_record":{"source":{"id":"2605.17793","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-18T03:18:27Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"0fad27c524081aac95e729e0bc50d61ae94f818c991ee19700ddc4b161126c5b","abstract_canon_sha256":"b97290712b5775510110aabda425fc3f864589935853292637bdb27c202225e9"},"schema_version":"1.0"},"canonical_sha256":"5dc67cc0f9b835bb4f3470fb119ff202d9946374c23f98f438eb84517375089b","source":{"kind":"arxiv","id":"2605.17793","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17793","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17793v1","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17793","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"LXDHZQHZXA23","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"LXDHZQHZXA23WTZU","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"LXDHZQHZ","created_at":"2026-05-20T00:04:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LXDHZQHZXA23WTZUOD5RDH7SAL","target":"record","payload":{"canonical_record":{"source":{"id":"2605.17793","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-18T03:18:27Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"0fad27c524081aac95e729e0bc50d61ae94f818c991ee19700ddc4b161126c5b","abstract_canon_sha256":"b97290712b5775510110aabda425fc3f864589935853292637bdb27c202225e9"},"schema_version":"1.0"},"canonical_sha256":"5dc67cc0f9b835bb4f3470fb119ff202d9946374c23f98f438eb84517375089b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:58.613494Z","signature_b64":"3tSvr1+lySrXKGZbO5HXtnbUf8T/m7ZRPsqTsznsK4ez4olptmj1SO7GRuwdxsrKkyf17MYWnvtZ2iA1dYlOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc67cc0f9b835bb4f3470fb119ff202d9946374c23f98f438eb84517375089b","last_reissued_at":"2026-05-20T00:04:58.612693Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:58.612693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.17793","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":"2026-05-20T00:04:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hV4blIPaaH44C2xlbQc8gE9XtoAm1vCnKGcO5PiKft26qJzr5RIvTzsrzdLw63800HdOyFcplfcT+w+AVmieAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:27:31.276309Z"},"content_sha256":"4d9e81911dc5599be139b5c66a9b0039c047cb7823e87431a19681c2cad027cf","schema_version":"1.0","event_id":"sha256:4d9e81911dc5599be139b5c66a9b0039c047cb7823e87431a19681c2cad027cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LXDHZQHZXA23WTZUOD5RDH7SAL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Li Wang, Mei Yang, Ren-Cang Li","submitted_at":"2026-05-18T03:18:27Z","abstract_excerpt":"The higher-order orthogonal iteration (HOOI) and the alternating subspace iteration (ASI) are two popular numerical methods for computing the Tucker decomposition of a multiple-mode tensor. Xu [Linear and Multilinear Algebra, 66(11):2247--2265, 2018] proposed a variation of HOOI, called the greedy HOOI, which has an extra alignment action between consecutive approximations. Kroonenberg and De Leeuw [Psychometrika, 45(1):69--97, 1980] analyzed the convergence of ASI but their analysis has gaps. These analysis were for a real tensor only. In this paper, we present detailed convergence analysis o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17793","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17793/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-20T00:04:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uT5pBwp+2JkvC/eMhqQfDFMobPLD7OdwvpGDQn/9qv7tqZzhP81QELdtEwuTNdGv3JtcqK7wBfce4AcOOsJjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:27:31.277048Z"},"content_sha256":"78983a0491c1a184bcaf387c939b6fa7bb744b24943e22dddb7100653fb69e55","schema_version":"1.0","event_id":"sha256:78983a0491c1a184bcaf387c939b6fa7bb744b24943e22dddb7100653fb69e55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXDHZQHZXA23WTZUOD5RDH7SAL/bundle.json","state_url":"https://pith.science/pith/LXDHZQHZXA23WTZUOD5RDH7SAL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXDHZQHZXA23WTZUOD5RDH7SAL/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":"2026-05-26T09:27:31Z","links":{"resolver":"https://pith.science/pith/LXDHZQHZXA23WTZUOD5RDH7SAL","bundle":"https://pith.science/pith/LXDHZQHZXA23WTZUOD5RDH7SAL/bundle.json","state":"https://pith.science/pith/LXDHZQHZXA23WTZUOD5RDH7SAL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXDHZQHZXA23WTZUOD5RDH7SAL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LXDHZQHZXA23WTZUOD5RDH7SAL","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":"b97290712b5775510110aabda425fc3f864589935853292637bdb27c202225e9","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-18T03:18:27Z","title_canon_sha256":"0fad27c524081aac95e729e0bc50d61ae94f818c991ee19700ddc4b161126c5b"},"schema_version":"1.0","source":{"id":"2605.17793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17793","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17793v1","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17793","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"LXDHZQHZXA23","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"LXDHZQHZXA23WTZU","created_at":"2026-05-20T00:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"LXDHZQHZ","created_at":"2026-05-20T00:04:58Z"}],"graph_snapshots":[{"event_id":"sha256:78983a0491c1a184bcaf387c939b6fa7bb744b24943e22dddb7100653fb69e55","target":"graph","created_at":"2026-05-20T00:04:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.17793/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The higher-order orthogonal iteration (HOOI) and the alternating subspace iteration (ASI) are two popular numerical methods for computing the Tucker decomposition of a multiple-mode tensor. Xu [Linear and Multilinear Algebra, 66(11):2247--2265, 2018] proposed a variation of HOOI, called the greedy HOOI, which has an extra alignment action between consecutive approximations. Kroonenberg and De Leeuw [Psychometrika, 45(1):69--97, 1980] analyzed the convergence of ASI but their analysis has gaps. These analysis were for a real tensor only. In this paper, we present detailed convergence analysis o","authors_text":"Li Wang, Mei Yang, Ren-Cang Li","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-18T03:18:27Z","title":"Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17793","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":"sha256:4d9e81911dc5599be139b5c66a9b0039c047cb7823e87431a19681c2cad027cf","target":"record","created_at":"2026-05-20T00:04:58Z","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":"b97290712b5775510110aabda425fc3f864589935853292637bdb27c202225e9","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-18T03:18:27Z","title_canon_sha256":"0fad27c524081aac95e729e0bc50d61ae94f818c991ee19700ddc4b161126c5b"},"schema_version":"1.0","source":{"id":"2605.17793","kind":"arxiv","version":1}},"canonical_sha256":"5dc67cc0f9b835bb4f3470fb119ff202d9946374c23f98f438eb84517375089b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc67cc0f9b835bb4f3470fb119ff202d9946374c23f98f438eb84517375089b","first_computed_at":"2026-05-20T00:04:58.612693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:58.612693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3tSvr1+lySrXKGZbO5HXtnbUf8T/m7ZRPsqTsznsK4ez4olptmj1SO7GRuwdxsrKkyf17MYWnvtZ2iA1dYlOBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:58.613494Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d9e81911dc5599be139b5c66a9b0039c047cb7823e87431a19681c2cad027cf","sha256:78983a0491c1a184bcaf387c939b6fa7bb744b24943e22dddb7100653fb69e55"],"state_sha256":"b8dfa666b9b34c2052089b5c6d02de0322f1605b3576faf62fe0edfb61e77c62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y4jl+WDiDzSou6+iUgAXSMg2Cgluh3BMkEmT/yL206Lvl7y7OJ7TsLWOoi4spSEjbRmcvE5jayR2wxvmExYSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T09:27:31.281528Z","bundle_sha256":"c8a0ea60f24b1205ed9075a7a4358d5afb87a146c5b1e1e84add8c85311555e5"}}