{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5AEBVPU2OOD6XIUFS3RM5LN5PH","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":"26b1552f4a32620bb02844593851cfe88055689ba655dfd40714cfca66c24b19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-11-07T15:18:09Z","title_canon_sha256":"60a8359d72ced26e0b95e3f86c9f4b79194481913a236166c69882ef6d789fb0"},"schema_version":"1.0","source":{"id":"1211.1571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1571","created_at":"2026-05-18T03:02:21Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1571v1","created_at":"2026-05-18T03:02:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1571","created_at":"2026-05-18T03:02:21Z"},{"alias_kind":"pith_short_12","alias_value":"5AEBVPU2OOD6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5AEBVPU2OOD6XIUF","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5AEBVPU2","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:9002f4de1f2947f5b7fde255fdb43af04dc3b65e4fdf165962b8d22698e1b104","target":"graph","created_at":"2026-05-18T03:02:21Z","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 explore the properties of two-point cosmic propagators when Perturbation Theory (PT) loop corrections are consistently taken into account. We show in particular how the interpolation scheme proposed in arXiv:1112.3895 can be explicitly used up to two-loop order introducing the notion of regular parts for the contributing terms. Extending the one-loop results, we then derive and give semi analytical forms of the two-loop contributions for both the cosmic density and velocity propagators. These results are tested against numerical simulations and shown to significantly improve upon one-loop r","authors_text":"Atsushi Taruya, Francis Bernardeau, Takahiro Nishimichi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-11-07T15:18:09Z","title":"Cosmic propagators at two-loop order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1571","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:eef06002a2995babbddc1e1af9b806d63a295eb9ee8740a9aabe8d0674cb3438","target":"record","created_at":"2026-05-18T03:02:21Z","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":"26b1552f4a32620bb02844593851cfe88055689ba655dfd40714cfca66c24b19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-11-07T15:18:09Z","title_canon_sha256":"60a8359d72ced26e0b95e3f86c9f4b79194481913a236166c69882ef6d789fb0"},"schema_version":"1.0","source":{"id":"1211.1571","kind":"arxiv","version":1}},"canonical_sha256":"e8081abe9a7387eba28596e2ceadbd79d86890b94d7ecc957e3d85f5acd1c3c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8081abe9a7387eba28596e2ceadbd79d86890b94d7ecc957e3d85f5acd1c3c6","first_computed_at":"2026-05-18T03:02:21.266507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:21.266507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p3IwlzX56UwKnUHm4efNZk5f5MJjwHHJTFeBRoskO3/yzm8keP8kHqbVy4mrUgfMpX2lfrNt6wzfdRWg7WkZCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:21.267288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eef06002a2995babbddc1e1af9b806d63a295eb9ee8740a9aabe8d0674cb3438","sha256:9002f4de1f2947f5b7fde255fdb43af04dc3b65e4fdf165962b8d22698e1b104"],"state_sha256":"fd99f63b0b18655db456b11903bd205fae8b2090e1d78bc3ba1b5c405a2879fb"}