{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EABKKO6GMO7MZFRP7X4P7I5VDK","short_pith_number":"pith:EABKKO6G","canonical_record":{"source":{"id":"2506.09959","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-06-11T17:33:25Z","cross_cats_sorted":["cs.DS","stat.ML","stat.TH"],"title_canon_sha256":"365f75c9bd066cd52aea324a70a8b84407912d74a0f2ca37191e1ab05aa36e49","abstract_canon_sha256":"8ca3e1acde65fd4f42ac351edee69db7def23b3c94ea8561babb3c1ede1f32d4"},"schema_version":"1.0"},"canonical_sha256":"2002a53bc663becc962ffdf8ffa3b51a9c086a9d2414c75659bd85d3b5c74e98","source":{"kind":"arxiv","id":"2506.09959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.09959","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"2506.09959v1","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09959","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"EABKKO6GMO7M","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"pith_short_16","alias_value":"EABKKO6GMO7MZFRP","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"pith_short_8","alias_value":"EABKKO6G","created_at":"2026-07-05T11:19:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EABKKO6GMO7MZFRP7X4P7I5VDK","target":"record","payload":{"canonical_record":{"source":{"id":"2506.09959","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-06-11T17:33:25Z","cross_cats_sorted":["cs.DS","stat.ML","stat.TH"],"title_canon_sha256":"365f75c9bd066cd52aea324a70a8b84407912d74a0f2ca37191e1ab05aa36e49","abstract_canon_sha256":"8ca3e1acde65fd4f42ac351edee69db7def23b3c94ea8561babb3c1ede1f32d4"},"schema_version":"1.0"},"canonical_sha256":"2002a53bc663becc962ffdf8ffa3b51a9c086a9d2414c75659bd85d3b5c74e98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:19:59.777446Z","signature_b64":"BQh8+kmaCCPvUE4A2q6ZemHai7NLKbCJZf/KiPE/9KU7gYs24E7OCRdV82rLznu7D4bl3kqpEI/jtdvB8mJqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2002a53bc663becc962ffdf8ffa3b51a9c086a9d2414c75659bd85d3b5c74e98","last_reissued_at":"2026-07-05T11:19:59.776967Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:19:59.776967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.09959","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":"2026-07-05T11:19:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GcLv0i1eFLuMvVBXOqUf+sCRjfcAUs9dGtOTwHngz4Hdcaoivgdko1lkGnONvV1nbg4PfB1KzCcQQ1uRdzAbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:49:35.504039Z"},"content_sha256":"3da2231ef76c4f48aee765ffa67e1b5e28feb68f048a40885deef6a3b4036646","schema_version":"1.0","event_id":"sha256:3da2231ef76c4f48aee765ffa67e1b5e28feb68f048a40885deef6a3b4036646"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EABKKO6GMO7MZFRP7X4P7I5VDK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Almost-Optimal Local-Search Methods for Sparse Tensor PCA","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","stat.ML","stat.TH"],"primary_cat":"math.ST","authors_text":"Conor Sheehan, Ilias Zadik, Konstantinos Tsirkas, Max Lovig","submitted_at":"2025-06-11T17:33:25Z","abstract_excerpt":"Local-search methods are widely employed in statistical applications, yet interestingly, their theoretical foundations remain rather underexplored, compared to other classes of estimators such as low-degree polynomials and spectral methods. Of note, among the few existing results recent studies have revealed a significant \"local-computational\" gap in the context of a well-studied sparse tensor principal component analysis (PCA), where a broad class of local Markov chain methods exhibits a notable underperformance relative to other polynomial-time algorithms. In this work, we propose a series o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09959","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/2506.09959/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":"2026-07-05T11:19:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QTMzvMITy0tnaTIQ0rxc7tHpe3pdaDcvGpY5CgNytzH7fddHGSm09ifSUlLX96lHL68tvYwCzkEJc+KdtnebDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:49:35.504944Z"},"content_sha256":"a4fc532edbd3cd8fa98a40b799002655b01956e99e1e821c3a2d54bfad7ff3f0","schema_version":"1.0","event_id":"sha256:a4fc532edbd3cd8fa98a40b799002655b01956e99e1e821c3a2d54bfad7ff3f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EABKKO6GMO7MZFRP7X4P7I5VDK/bundle.json","state_url":"https://pith.science/pith/EABKKO6GMO7MZFRP7X4P7I5VDK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EABKKO6GMO7MZFRP7X4P7I5VDK/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":"2026-08-17T17:49:35Z","links":{"resolver":"https://pith.science/pith/EABKKO6GMO7MZFRP7X4P7I5VDK","bundle":"https://pith.science/pith/EABKKO6GMO7MZFRP7X4P7I5VDK/bundle.json","state":"https://pith.science/pith/EABKKO6GMO7MZFRP7X4P7I5VDK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EABKKO6GMO7MZFRP7X4P7I5VDK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EABKKO6GMO7MZFRP7X4P7I5VDK","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":"8ca3e1acde65fd4f42ac351edee69db7def23b3c94ea8561babb3c1ede1f32d4","cross_cats_sorted":["cs.DS","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-06-11T17:33:25Z","title_canon_sha256":"365f75c9bd066cd52aea324a70a8b84407912d74a0f2ca37191e1ab05aa36e49"},"schema_version":"1.0","source":{"id":"2506.09959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.09959","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"2506.09959v1","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09959","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"EABKKO6GMO7M","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"pith_short_16","alias_value":"EABKKO6GMO7MZFRP","created_at":"2026-07-05T11:19:59Z"},{"alias_kind":"pith_short_8","alias_value":"EABKKO6G","created_at":"2026-07-05T11:19:59Z"}],"graph_snapshots":[{"event_id":"sha256:a4fc532edbd3cd8fa98a40b799002655b01956e99e1e821c3a2d54bfad7ff3f0","target":"graph","created_at":"2026-07-05T11:19:59Z","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/2506.09959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Local-search methods are widely employed in statistical applications, yet interestingly, their theoretical foundations remain rather underexplored, compared to other classes of estimators such as low-degree polynomials and spectral methods. Of note, among the few existing results recent studies have revealed a significant \"local-computational\" gap in the context of a well-studied sparse tensor principal component analysis (PCA), where a broad class of local Markov chain methods exhibits a notable underperformance relative to other polynomial-time algorithms. In this work, we propose a series o","authors_text":"Conor Sheehan, Ilias Zadik, Konstantinos Tsirkas, Max Lovig","cross_cats":["cs.DS","stat.ML","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-06-11T17:33:25Z","title":"Almost-Optimal Local-Search Methods for Sparse Tensor PCA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09959","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":"sha256:3da2231ef76c4f48aee765ffa67e1b5e28feb68f048a40885deef6a3b4036646","target":"record","created_at":"2026-07-05T11:19:59Z","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":"8ca3e1acde65fd4f42ac351edee69db7def23b3c94ea8561babb3c1ede1f32d4","cross_cats_sorted":["cs.DS","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-06-11T17:33:25Z","title_canon_sha256":"365f75c9bd066cd52aea324a70a8b84407912d74a0f2ca37191e1ab05aa36e49"},"schema_version":"1.0","source":{"id":"2506.09959","kind":"arxiv","version":1}},"canonical_sha256":"2002a53bc663becc962ffdf8ffa3b51a9c086a9d2414c75659bd85d3b5c74e98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2002a53bc663becc962ffdf8ffa3b51a9c086a9d2414c75659bd85d3b5c74e98","first_computed_at":"2026-07-05T11:19:59.776967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:19:59.776967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BQh8+kmaCCPvUE4A2q6ZemHai7NLKbCJZf/KiPE/9KU7gYs24E7OCRdV82rLznu7D4bl3kqpEI/jtdvB8mJqBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:19:59.777446Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.09959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3da2231ef76c4f48aee765ffa67e1b5e28feb68f048a40885deef6a3b4036646","sha256:a4fc532edbd3cd8fa98a40b799002655b01956e99e1e821c3a2d54bfad7ff3f0"],"state_sha256":"a41296dac16c184ee259580ecc02f7195cc3c015a4b51722dccb8435f87404fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LRwanLpWYRlP7mnbk1RxOI2FshQmzATRX1sLue4NuNgXwWjhZA36k4muJiBPH///RocWzhqwIu71f9jlta/cDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T17:49:35.511667Z","bundle_sha256":"53808dc59129d712a987824fff8d8c17d691d74529fc644af09ef63b63ab99e0"}}