{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IDVFGIL6UNBW4STCJMTH5LSZ3M","short_pith_number":"pith:IDVFGIL6","canonical_record":{"source":{"id":"1208.1191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-08-06T15:29:19Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d1c82e8121432526a8a33e3e314e761676444835275395df991fa612f29b9206","abstract_canon_sha256":"762c56cf611badeada2ea190fad5cc5176a98ce80cacc1e5c12c232ddc2cd2fe"},"schema_version":"1.0"},"canonical_sha256":"40ea53217ea3436e4a624b267eae59db1be3e573f784a0cf9a3d91913b52b39e","source":{"kind":"arxiv","id":"1208.1191","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1191","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1191v1","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1191","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"IDVFGIL6UNBW","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IDVFGIL6UNBW4STC","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IDVFGIL6","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IDVFGIL6UNBW4STCJMTH5LSZ3M","target":"record","payload":{"canonical_record":{"source":{"id":"1208.1191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-08-06T15:29:19Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d1c82e8121432526a8a33e3e314e761676444835275395df991fa612f29b9206","abstract_canon_sha256":"762c56cf611badeada2ea190fad5cc5176a98ce80cacc1e5c12c232ddc2cd2fe"},"schema_version":"1.0"},"canonical_sha256":"40ea53217ea3436e4a624b267eae59db1be3e573f784a0cf9a3d91913b52b39e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:30.551807Z","signature_b64":"XAHStNDcfow+6VVF58zIOikV45f/scBOmSJI55U7+rrIR14ayEGwpyPv9YESncZdX7c70GIjZk54+Tq+24ETBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40ea53217ea3436e4a624b267eae59db1be3e573f784a0cf9a3d91913b52b39e","last_reissued_at":"2026-05-18T03:22:30.550762Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:30.550762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.1191","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l+prxH+ofGUXoPBMefxkonMBTiCXSuRHO4RFdebPnXrTkJJ2heC4xgxq3HTJlgtNlvVFz3tzdQGh22Jrw67TBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:16:56.146948Z"},"content_sha256":"ebff649f5e62472b0caf622b6c58f7a9ab7e0ecd8db9d571ed1514a048d0dbd2","schema_version":"1.0","event_id":"sha256:ebff649f5e62472b0caf622b6c58f7a9ab7e0ecd8db9d571ed1514a048d0dbd2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IDVFGIL6UNBW4STCJMTH5LSZ3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Atsushi Taruya, Francis Bernardeau, Sandrine Codis, Takahiro Nishimichi","submitted_at":"2012-08-06T15:29:19Z","abstract_excerpt":"We present a specific prescription for the calculation of cosmological power spectra, exploited here at two-loop order in perturbation theory (PT), based on the multi-point propagator expansion. In this approach power spectra are constructed from the regularized expressions of the propagators that reproduce both the resummed behavior in the high-k limit and the standard PT results at low-k. With the help of N-body simulations, we show that such a construction gives robust and accurate predictions for both the density power spectrum and the correlation function at percent-level in the weakly no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1191","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jBX2aC3BiAbdni/SwC2bWutqpsMUYzlHOVBuzGk+hvMT62OWnttwSwSA0HmoghfaExfT87f6pH1biF+ohxqCAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:16:56.147309Z"},"content_sha256":"6186173fdb1b063140b904f746f212cab97246e24c5d639037b4712c564ac1a7","schema_version":"1.0","event_id":"sha256:6186173fdb1b063140b904f746f212cab97246e24c5d639037b4712c564ac1a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M/bundle.json","state_url":"https://pith.science/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T04:16:56Z","links":{"resolver":"https://pith.science/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M","bundle":"https://pith.science/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M/bundle.json","state":"https://pith.science/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IDVFGIL6UNBW4STCJMTH5LSZ3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IDVFGIL6UNBW4STCJMTH5LSZ3M","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":"762c56cf611badeada2ea190fad5cc5176a98ce80cacc1e5c12c232ddc2cd2fe","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-08-06T15:29:19Z","title_canon_sha256":"d1c82e8121432526a8a33e3e314e761676444835275395df991fa612f29b9206"},"schema_version":"1.0","source":{"id":"1208.1191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1191","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1191v1","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1191","created_at":"2026-05-18T03:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"IDVFGIL6UNBW","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IDVFGIL6UNBW4STC","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IDVFGIL6","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:6186173fdb1b063140b904f746f212cab97246e24c5d639037b4712c564ac1a7","target":"graph","created_at":"2026-05-18T03:22:30Z","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":"We present a specific prescription for the calculation of cosmological power spectra, exploited here at two-loop order in perturbation theory (PT), based on the multi-point propagator expansion. In this approach power spectra are constructed from the regularized expressions of the propagators that reproduce both the resummed behavior in the high-k limit and the standard PT results at low-k. With the help of N-body simulations, we show that such a construction gives robust and accurate predictions for both the density power spectrum and the correlation function at percent-level in the weakly no","authors_text":"Atsushi Taruya, Francis Bernardeau, Sandrine Codis, Takahiro Nishimichi","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-08-06T15:29:19Z","title":"RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1191","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:ebff649f5e62472b0caf622b6c58f7a9ab7e0ecd8db9d571ed1514a048d0dbd2","target":"record","created_at":"2026-05-18T03:22:30Z","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":"762c56cf611badeada2ea190fad5cc5176a98ce80cacc1e5c12c232ddc2cd2fe","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-08-06T15:29:19Z","title_canon_sha256":"d1c82e8121432526a8a33e3e314e761676444835275395df991fa612f29b9206"},"schema_version":"1.0","source":{"id":"1208.1191","kind":"arxiv","version":1}},"canonical_sha256":"40ea53217ea3436e4a624b267eae59db1be3e573f784a0cf9a3d91913b52b39e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40ea53217ea3436e4a624b267eae59db1be3e573f784a0cf9a3d91913b52b39e","first_computed_at":"2026-05-18T03:22:30.550762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:30.550762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XAHStNDcfow+6VVF58zIOikV45f/scBOmSJI55U7+rrIR14ayEGwpyPv9YESncZdX7c70GIjZk54+Tq+24ETBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:30.551807Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebff649f5e62472b0caf622b6c58f7a9ab7e0ecd8db9d571ed1514a048d0dbd2","sha256:6186173fdb1b063140b904f746f212cab97246e24c5d639037b4712c564ac1a7"],"state_sha256":"be0318cfc65418a49c9e5187d32978fd2a8723b63f339b6e7cb2d00eb018da21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMs4lcR4L7zI6TXbdmN1FvsaVYRpkLRklzvw209wv3qtMGg6PwTTymTyvVvUwDB4n3fe9Mh2BH1Xk78oMuq/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:16:56.149460Z","bundle_sha256":"65971c19dd373f23a8b143f03f5dc143986e479d60aa0c7447b1aac94341a243"}}