{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IIHKUEIW75YO2EWUCZ4HVA4QU3","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":"905e3997de46d0a247713757b7d031be1a75a6aac89371755b56f5155abe7d3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-13T17:32:31Z","title_canon_sha256":"45c6f49d283effc8400bbf6a31535079d005cdd57e7797393439bbcb33e68cb1"},"schema_version":"1.0","source":{"id":"2502.09518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.09518","created_at":"2026-07-05T10:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"2502.09518v1","created_at":"2026-07-05T10:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09518","created_at":"2026-07-05T10:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"IIHKUEIW75YO","created_at":"2026-07-05T10:13:58Z"},{"alias_kind":"pith_short_16","alias_value":"IIHKUEIW75YO2EWU","created_at":"2026-07-05T10:13:58Z"},{"alias_kind":"pith_short_8","alias_value":"IIHKUEIW","created_at":"2026-07-05T10:13:58Z"}],"graph_snapshots":[{"event_id":"sha256:3a52e633b7da047803300ab2b639cbb0a2ee533901e052b37c01f0ad10cb222f","target":"graph","created_at":"2026-07-05T10:13:58Z","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/2502.09518/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many large scale structure surveys sort their observations into redshift bins and treat every tracer as being located at the mean redshift of its bin, a treatment which we refer to as the equal time approximation. Recently, a new method was developed which allows for the estimation and correction of errors introduced by this approximation, which we refer to as the unequal time correlator-level projection. For single tracer power spectra, corrections arise at second order and above in a series expansion, with first order terms surviving only in multi-tracer analyses. In this paper we develop a ","authors_text":"Alvise Raccanelli, Theodore Steele, Zvonimir Vlah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-13T17:32:31Z","title":"Projecting Unequal Time Fields and Correlators of Large Scale Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09518","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":"sha256:880714b237094c2bcf0e7bdae3b1aa24979697cfbd555fc5a708d297f33962e6","target":"record","created_at":"2026-07-05T10:13:58Z","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":"905e3997de46d0a247713757b7d031be1a75a6aac89371755b56f5155abe7d3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-13T17:32:31Z","title_canon_sha256":"45c6f49d283effc8400bbf6a31535079d005cdd57e7797393439bbcb33e68cb1"},"schema_version":"1.0","source":{"id":"2502.09518","kind":"arxiv","version":1}},"canonical_sha256":"420eaa1116ff70ed12d416787a8390a6cc1a196975f7728fa0aea123d2d282b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"420eaa1116ff70ed12d416787a8390a6cc1a196975f7728fa0aea123d2d282b3","first_computed_at":"2026-07-05T10:13:58.821603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:13:58.821603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d0bqUiJLU055uMrNGEe/N2XbLZz3r5EMagPxdnj/GLGFr1LZpQCxUF2huiwjb06X7cLcw3ItAzpBbEQA8zkSBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:13:58.822071Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.09518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:880714b237094c2bcf0e7bdae3b1aa24979697cfbd555fc5a708d297f33962e6","sha256:3a52e633b7da047803300ab2b639cbb0a2ee533901e052b37c01f0ad10cb222f"],"state_sha256":"9753d52e65caee880b55599997b46cf2f609160c639ba01d1ac333df30efd207"}