{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PHUPYOIFLPGBF36PHV7NBYBP2E","short_pith_number":"pith:PHUPYOIF","schema_version":"1.0","canonical_sha256":"79e8fc39055bcc12efcf3d7ed0e02fd11ff1c630fb7477691a7a1ea78d94fdc7","source":{"kind":"arxiv","id":"2607.08635","version":1},"attestation_state":"computed","paper":{"title":"Calibrated Persistent-Laplacian CUSUM for Online Change-Point Detection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Shiheng Nie, Yunguang Yue","submitted_at":"2026-07-09T16:07:55Z","abstract_excerpt":"We propose the Persistent Laplacian Cumulative Sum (PL-CUSUM), an online change-point detection method for high-dimensional nonlinear time series. The method converts sliding windows into point clouds and uses persistent Laplacian spectra to construct the monitoring score for the Page cumulative sum (Page-CUSUM) recursion. Compared with detectors based only on persistent-homology summaries, PL-CUSUM further uses spectral information to capture within-scale connectivity and geometric structure beyond homology counts. Theoretically, we analyze two key performance criteria: false-alarm control an"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.08635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-09T16:07:55Z","cross_cats_sorted":[],"title_canon_sha256":"d4bb9227e3572c6f0bd8a9ac4b5051603af5d7b88e969009dc50b83317848dcc","abstract_canon_sha256":"8d7535edf9e7004d1627aa083b7d1ae79cf9441633f6853de88e671273593261"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T01:19:56.098861Z","signature_b64":"30jrYGAvuZugczy1H5Zhi0i8sZ+E5nnkHgSWXmRMmnn5I7MIveCa2NZn+BVzW05GIqIT/X0//b/ojYKm7kdBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79e8fc39055bcc12efcf3d7ed0e02fd11ff1c630fb7477691a7a1ea78d94fdc7","last_reissued_at":"2026-07-10T01:19:56.098458Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T01:19:56.098458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Calibrated Persistent-Laplacian CUSUM for Online Change-Point Detection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Shiheng Nie, Yunguang Yue","submitted_at":"2026-07-09T16:07:55Z","abstract_excerpt":"We propose the Persistent Laplacian Cumulative Sum (PL-CUSUM), an online change-point detection method for high-dimensional nonlinear time series. The method converts sliding windows into point clouds and uses persistent Laplacian spectra to construct the monitoring score for the Page cumulative sum (Page-CUSUM) recursion. Compared with detectors based only on persistent-homology summaries, PL-CUSUM further uses spectral information to capture within-scale connectivity and geometric structure beyond homology counts. Theoretically, we analyze two key performance criteria: false-alarm control an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08635","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/2607.08635/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.08635","created_at":"2026-07-10T01:19:56.098516+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.08635v1","created_at":"2026-07-10T01:19:56.098516+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08635","created_at":"2026-07-10T01:19:56.098516+00:00"},{"alias_kind":"pith_short_12","alias_value":"PHUPYOIFLPGB","created_at":"2026-07-10T01:19:56.098516+00:00"},{"alias_kind":"pith_short_16","alias_value":"PHUPYOIFLPGBF36P","created_at":"2026-07-10T01:19:56.098516+00:00"},{"alias_kind":"pith_short_8","alias_value":"PHUPYOIF","created_at":"2026-07-10T01:19:56.098516+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E","json":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E.json","graph_json":"https://pith.science/api/pith-number/PHUPYOIFLPGBF36PHV7NBYBP2E/graph.json","events_json":"https://pith.science/api/pith-number/PHUPYOIFLPGBF36PHV7NBYBP2E/events.json","paper":"https://pith.science/paper/PHUPYOIF"},"agent_actions":{"view_html":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E","download_json":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E.json","view_paper":"https://pith.science/paper/PHUPYOIF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.08635&json=true","fetch_graph":"https://pith.science/api/pith-number/PHUPYOIFLPGBF36PHV7NBYBP2E/graph.json","fetch_events":"https://pith.science/api/pith-number/PHUPYOIFLPGBF36PHV7NBYBP2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E/action/storage_attestation","attest_author":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E/action/author_attestation","sign_citation":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E/action/citation_signature","submit_replication":"https://pith.science/pith/PHUPYOIFLPGBF36PHV7NBYBP2E/action/replication_record"}},"created_at":"2026-07-10T01:19:56.098516+00:00","updated_at":"2026-07-10T01:19:56.098516+00:00"}