{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NXEZP6LVDVLFSR4DZO46F2SRKB","short_pith_number":"pith:NXEZP6LV","schema_version":"1.0","canonical_sha256":"6dc997f9751d56594783cbb9e2ea51504907c35c88fa2ba38364fa352a0e60d4","source":{"kind":"arxiv","id":"1309.3557","version":2},"attestation_state":"computed","paper":{"title":"Single-Field Consistency Relations of Large Scale Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Filippo Vernizzi, Jorge Nore\\~na, Marko Simonovi\\'c, Paolo Creminelli","submitted_at":"2013-09-13T19:58:41Z","abstract_excerpt":"We derive consistency relations for the late universe (CDM and \\Lambda CDM): relations between an n-point function of the density contrast \\delta and an (n+1)-point function in the limit in which one of the (n+1) momenta becomes much smaller than the others. These are based on the observation that a long mode, in single-field models of inflation, reduces to a diffeomorphism since its freezing during inflation all the way until the late universe, even when the long mode is inside the horizon (but out of the sound horizon). These results are derived in Newtonian gauge, at first and second order "},"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":"1309.3557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-09-13T19:58:41Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"24458dbfecb0e57838a7974311261c2da178409e58394084a5c1a29eaf9a0200","abstract_canon_sha256":"0d659bdf429ca0c89be14f821903f257db2a10e76b9362504e2dad18bcff9e40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:56.132019Z","signature_b64":"B0cgWkKFd/5pulDBog9sMXEGwA/gPSpGqYD71s26kq8DdSSjiCJ68J7LD/ev7PxblzJNLs3RR6qzXdjiAC8QCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6dc997f9751d56594783cbb9e2ea51504907c35c88fa2ba38364fa352a0e60d4","last_reissued_at":"2026-05-18T03:01:56.131382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:56.131382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Single-Field Consistency Relations of Large Scale Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Filippo Vernizzi, Jorge Nore\\~na, Marko Simonovi\\'c, Paolo Creminelli","submitted_at":"2013-09-13T19:58:41Z","abstract_excerpt":"We derive consistency relations for the late universe (CDM and \\Lambda CDM): relations between an n-point function of the density contrast \\delta and an (n+1)-point function in the limit in which one of the (n+1) momenta becomes much smaller than the others. These are based on the observation that a long mode, in single-field models of inflation, reduces to a diffeomorphism since its freezing during inflation all the way until the late universe, even when the long mode is inside the horizon (but out of the sound horizon). These results are derived in Newtonian gauge, at first and second order "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3557","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":"1309.3557","created_at":"2026-05-18T03:01:56.131478+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.3557v2","created_at":"2026-05-18T03:01:56.131478+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3557","created_at":"2026-05-18T03:01:56.131478+00:00"},{"alias_kind":"pith_short_12","alias_value":"NXEZP6LVDVLF","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NXEZP6LVDVLFSR4D","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NXEZP6LV","created_at":"2026-05-18T12:27:52.871228+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.21436","citing_title":"Euclid preparation: Testing multi-field inflation with galaxy power spectrum and bispectrum","ref_index":88,"is_internal_anchor":true},{"citing_arxiv_id":"2604.08895","citing_title":"FolpsD: combining EFT and phenomenological approaches for joint power spectrum and bispectrum analyses","ref_index":86,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB","json":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB.json","graph_json":"https://pith.science/api/pith-number/NXEZP6LVDVLFSR4DZO46F2SRKB/graph.json","events_json":"https://pith.science/api/pith-number/NXEZP6LVDVLFSR4DZO46F2SRKB/events.json","paper":"https://pith.science/paper/NXEZP6LV"},"agent_actions":{"view_html":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB","download_json":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB.json","view_paper":"https://pith.science/paper/NXEZP6LV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.3557&json=true","fetch_graph":"https://pith.science/api/pith-number/NXEZP6LVDVLFSR4DZO46F2SRKB/graph.json","fetch_events":"https://pith.science/api/pith-number/NXEZP6LVDVLFSR4DZO46F2SRKB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB/action/storage_attestation","attest_author":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB/action/author_attestation","sign_citation":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB/action/citation_signature","submit_replication":"https://pith.science/pith/NXEZP6LVDVLFSR4DZO46F2SRKB/action/replication_record"}},"created_at":"2026-05-18T03:01:56.131478+00:00","updated_at":"2026-05-18T03:01:56.131478+00:00"}