{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PFLZMQ4ECGXF63ARD2NWLFPTAK","short_pith_number":"pith:PFLZMQ4E","schema_version":"1.0","canonical_sha256":"795796438411ae5f6c111e9b6595f302bca123036a28f9b1e997ee3344128a15","source":{"kind":"arxiv","id":"1603.04405","version":2},"attestation_state":"computed","paper":{"title":"Fast Large Scale Structure Perturbation Theory using 1D FFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Marcel Schmittfull, Patrick McDonald, Zvonimir Vlah","submitted_at":"2016-03-14T19:30:13Z","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"},"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":"1603.04405","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-14T19:30:13Z","cross_cats_sorted":[],"title_canon_sha256":"271409df2026cb34cbba88146d8d5c9b1e06e725c94ab40c6d2c743201939f31","abstract_canon_sha256":"315c4e1c179255f58a226e9bfa41e55a79fbbd5b4aac5a9ed1f7277a1334e6b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:14.912884Z","signature_b64":"9VXpVasSp/AN90FfNrc0mBcQI28le00U+3fBMpgLN09HhC4LLpuMxahpZJY56XQRhScEtJOARG7zWZaGVxTpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"795796438411ae5f6c111e9b6595f302bca123036a28f9b1e997ee3344128a15","last_reissued_at":"2026-05-18T01:13:14.912487Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:14.912487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast Large Scale Structure Perturbation Theory using 1D FFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Marcel Schmittfull, Patrick McDonald, Zvonimir Vlah","submitted_at":"2016-03-14T19:30:13Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04405","kind":"arxiv","version":2},"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":"1603.04405","created_at":"2026-05-18T01:13:14.912548+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04405v2","created_at":"2026-05-18T01:13:14.912548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04405","created_at":"2026-05-18T01:13:14.912548+00:00"},{"alias_kind":"pith_short_12","alias_value":"PFLZMQ4ECGXF","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PFLZMQ4ECGXF63AR","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PFLZMQ4E","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.05114","citing_title":"Effective Field Theory of Large Scale Structure and Newtonian Motion Gauges","ref_index":11,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK","json":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK.json","graph_json":"https://pith.science/api/pith-number/PFLZMQ4ECGXF63ARD2NWLFPTAK/graph.json","events_json":"https://pith.science/api/pith-number/PFLZMQ4ECGXF63ARD2NWLFPTAK/events.json","paper":"https://pith.science/paper/PFLZMQ4E"},"agent_actions":{"view_html":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK","download_json":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK.json","view_paper":"https://pith.science/paper/PFLZMQ4E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04405&json=true","fetch_graph":"https://pith.science/api/pith-number/PFLZMQ4ECGXF63ARD2NWLFPTAK/graph.json","fetch_events":"https://pith.science/api/pith-number/PFLZMQ4ECGXF63ARD2NWLFPTAK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK/action/storage_attestation","attest_author":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK/action/author_attestation","sign_citation":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK/action/citation_signature","submit_replication":"https://pith.science/pith/PFLZMQ4ECGXF63ARD2NWLFPTAK/action/replication_record"}},"created_at":"2026-05-18T01:13:14.912548+00:00","updated_at":"2026-05-18T01:13:14.912548+00:00"}