{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GIL67HA6OUBJZMWDX2TZMJ54SV","short_pith_number":"pith:GIL67HA6","schema_version":"1.0","canonical_sha256":"3217ef9c1e75029cb2c3bea79627bc9567b2a7e16f40fb2e5de499fc90814085","source":{"kind":"arxiv","id":"1502.01344","version":1},"attestation_state":"computed","paper":{"title":"Periodograms for Multiband Astronomical Time Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Jacob T. VanderPlas, Zeljko Ivezic","submitted_at":"2015-02-04T21:00:13Z","abstract_excerpt":"This paper introduces the multiband periodogram, a general extension of the well-known Lomb-Scargle approach for detecting periodic signals in time-domain data. In addition to advantages of the Lomb-Scargle method such as treatment of non-uniform sampling and heteroscedastic errors, the multiband periodogram significantly improves period finding for randomly sampled multiband light curves (e.g., Pan-STARRS, DES and LSST). The light curves in each band are modeled as arbitrary truncated Fourier series, with the period and phase shared across all bands. The key aspect is the use of Tikhonov regu"},"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":"1502.01344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-02-04T21:00:13Z","cross_cats_sorted":[],"title_canon_sha256":"af99b12128c4baefd39b04aece74f3cde5566c0bb2174c9ef22f2594af4ee79a","abstract_canon_sha256":"d7491ac4217bfeb69b2ce53d11ef40bfb00b19796c3d9c3ae1dc1027334e4462"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:25.230366Z","signature_b64":"TjdxQUjtqnUghLi/U8elN8Ueoq+bUC41jvVIA5R8X6cbw6+58+MP7/xbK8bX6E8Fsn/o61/2xUfN9miC36ZtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3217ef9c1e75029cb2c3bea79627bc9567b2a7e16f40fb2e5de499fc90814085","last_reissued_at":"2026-05-18T01:30:25.229628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:25.229628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodograms for Multiband Astronomical Time Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Jacob T. VanderPlas, Zeljko Ivezic","submitted_at":"2015-02-04T21:00:13Z","abstract_excerpt":"This paper introduces the multiband periodogram, a general extension of the well-known Lomb-Scargle approach for detecting periodic signals in time-domain data. In addition to advantages of the Lomb-Scargle method such as treatment of non-uniform sampling and heteroscedastic errors, the multiband periodogram significantly improves period finding for randomly sampled multiband light curves (e.g., Pan-STARRS, DES and LSST). The light curves in each band are modeled as arbitrary truncated Fourier series, with the period and phase shared across all bands. The key aspect is the use of Tikhonov regu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01344","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.01344","created_at":"2026-05-18T01:30:25.229751+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.01344v1","created_at":"2026-05-18T01:30:25.229751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01344","created_at":"2026-05-18T01:30:25.229751+00:00"},{"alias_kind":"pith_short_12","alias_value":"GIL67HA6OUBJ","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GIL67HA6OUBJZMWD","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GIL67HA6","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.28571","citing_title":"The NANOGrav 15 yr Data Set: Customized Chromatic Noise Models","ref_index":123,"is_internal_anchor":true},{"citing_arxiv_id":"2606.28554","citing_title":"The NANOGrav 15 yr Data Set: Impacts of Customized Chromatic Noise Models on Gravitational Wave Analyses","ref_index":113,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV","json":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV.json","graph_json":"https://pith.science/api/pith-number/GIL67HA6OUBJZMWDX2TZMJ54SV/graph.json","events_json":"https://pith.science/api/pith-number/GIL67HA6OUBJZMWDX2TZMJ54SV/events.json","paper":"https://pith.science/paper/GIL67HA6"},"agent_actions":{"view_html":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV","download_json":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV.json","view_paper":"https://pith.science/paper/GIL67HA6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.01344&json=true","fetch_graph":"https://pith.science/api/pith-number/GIL67HA6OUBJZMWDX2TZMJ54SV/graph.json","fetch_events":"https://pith.science/api/pith-number/GIL67HA6OUBJZMWDX2TZMJ54SV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV/action/storage_attestation","attest_author":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV/action/author_attestation","sign_citation":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV/action/citation_signature","submit_replication":"https://pith.science/pith/GIL67HA6OUBJZMWDX2TZMJ54SV/action/replication_record"}},"created_at":"2026-05-18T01:30:25.229751+00:00","updated_at":"2026-05-18T01:30:25.229751+00:00"}