{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FZSDIIWP5PLRMPQZSKTRD4F37K","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":"b471a47c99f0e235487f3c3f2304533d7a528e92e833f57248809a7c9743a68b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-21T01:44:48Z","title_canon_sha256":"aeb508d621dac60dfe20a551fadefb91eded86baf57aa73705ca98be16915960"},"schema_version":"1.0","source":{"id":"2605.21884","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21884","created_at":"2026-05-22T01:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21884v1","created_at":"2026-05-22T01:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21884","created_at":"2026-05-22T01:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"FZSDIIWP5PLR","created_at":"2026-05-22T01:04:13Z"},{"alias_kind":"pith_short_16","alias_value":"FZSDIIWP5PLRMPQZ","created_at":"2026-05-22T01:04:13Z"},{"alias_kind":"pith_short_8","alias_value":"FZSDIIWP","created_at":"2026-05-22T01:04:13Z"}],"graph_snapshots":[{"event_id":"sha256:cd95023bd5b5f30f566f8ce3aed07ca342d0867ee76ed917ce513536f421cd64","target":"graph","created_at":"2026-05-22T01:04:13Z","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/2605.21884/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article introduces estimators of trend and seasonality for time series of point processes. We assume the point processes follow a temporal or spatial doubly-stochastic Poisson model with log-Gaussian intensity functions. The proposed estimators are computationally simple M-estimators. Their asymptotic distribution is derived, and their finite-sample performance is studied by simulation. As an example of real-data application, we study the patterns of bike demand in the Divvy bike-sharing system of the city of Chicago.","authors_text":"Daniel Gervini, Simon A. Kopischke","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-21T01:44:48Z","title":"Trend and seasonality estimation for point-process time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21884","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":"sha256:111daca731e991a3c3d5f1b4e63c26fc4f186a13e3959066dee03028b48e3434","target":"record","created_at":"2026-05-22T01:04:13Z","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":"b471a47c99f0e235487f3c3f2304533d7a528e92e833f57248809a7c9743a68b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-21T01:44:48Z","title_canon_sha256":"aeb508d621dac60dfe20a551fadefb91eded86baf57aa73705ca98be16915960"},"schema_version":"1.0","source":{"id":"2605.21884","kind":"arxiv","version":1}},"canonical_sha256":"2e643422cfebd7163e1992a711f0bbfab430cd9af4d45bb4f8e49ee0a607177d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e643422cfebd7163e1992a711f0bbfab430cd9af4d45bb4f8e49ee0a607177d","first_computed_at":"2026-05-22T01:04:13.007721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:13.007721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"26PtwqWA1YDKS4aPeY+mRhzCyPgBhpgvEmduNCndeL2+M6juRFp2sqV8ajC4rBZZ5pyU23dTGQ2OoCIUCNjAAw==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:13.008446Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21884","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:111daca731e991a3c3d5f1b4e63c26fc4f186a13e3959066dee03028b48e3434","sha256:cd95023bd5b5f30f566f8ce3aed07ca342d0867ee76ed917ce513536f421cd64"],"state_sha256":"f7fe6ccf624984c05f874f48407e12dab59b1a919b14f3f5454f799c4b93bd78"}