{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PFLZMQ4ECGXF63ARD2NWLFPTAK","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":"315c4e1c179255f58a226e9bfa41e55a79fbbd5b4aac5a9ed1f7277a1334e6b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-14T19:30:13Z","title_canon_sha256":"271409df2026cb34cbba88146d8d5c9b1e06e725c94ab40c6d2c743201939f31"},"schema_version":"1.0","source":{"id":"1603.04405","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04405","created_at":"2026-05-18T01:13:14Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04405v2","created_at":"2026-05-18T01:13:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04405","created_at":"2026-05-18T01:13:14Z"},{"alias_kind":"pith_short_12","alias_value":"PFLZMQ4ECGXF","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PFLZMQ4ECGXF63AR","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PFLZMQ4E","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:6e8429c77595750c2982fa38a8f2b8b2d2a4cb49463f306077a2ba247e23eff2","target":"graph","created_at":"2026-05-18T01:13:14Z","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"},"paper":{"abstract_excerpt":"The usual fluid equations describing the large-scale evolution of mass density in the universe can be written as local in the density, velocity divergence, and velocity potential fields. As a result, the perturbative expansion in small density fluctuations, usually written in terms of convolutions in Fourier space, can be written as a series of products of these fields evaluated at the same location in configuration space. Based on this, we establish a new method to numerically evaluate the 1-loop power spectrum (i.e., Fourier transform of the 2-point correlation function) with one-dimensional","authors_text":"Marcel Schmittfull, Patrick McDonald, Zvonimir Vlah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-14T19:30:13Z","title":"Fast Large Scale Structure Perturbation Theory using 1D FFTs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04405","kind":"arxiv","version":2},"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":"sha256:02b43899d0079a84f76a99a895f3b043dd1f9dcb70cbe90b04127da27d2625d7","target":"record","created_at":"2026-05-18T01:13:14Z","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":"315c4e1c179255f58a226e9bfa41e55a79fbbd5b4aac5a9ed1f7277a1334e6b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-14T19:30:13Z","title_canon_sha256":"271409df2026cb34cbba88146d8d5c9b1e06e725c94ab40c6d2c743201939f31"},"schema_version":"1.0","source":{"id":"1603.04405","kind":"arxiv","version":2}},"canonical_sha256":"795796438411ae5f6c111e9b6595f302bca123036a28f9b1e997ee3344128a15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"795796438411ae5f6c111e9b6595f302bca123036a28f9b1e997ee3344128a15","first_computed_at":"2026-05-18T01:13:14.912487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:14.912487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9VXpVasSp/AN90FfNrc0mBcQI28le00U+3fBMpgLN09HhC4LLpuMxahpZJY56XQRhScEtJOARG7zWZaGVxTpCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:14.912884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04405","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02b43899d0079a84f76a99a895f3b043dd1f9dcb70cbe90b04127da27d2625d7","sha256:6e8429c77595750c2982fa38a8f2b8b2d2a4cb49463f306077a2ba247e23eff2"],"state_sha256":"2dd1e7ace232f4871845ca07e99606099b808d8d94be75913fa828f1d49642a7"}