{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5GMOCBTHZONJRIJDQ6ZD3AEHLQ","short_pith_number":"pith:5GMOCBTH","canonical_record":{"source":{"id":"1705.01092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-05-02T17:57:20Z","cross_cats_sorted":[],"title_canon_sha256":"51badbe0594edec2a3299f1fe04aa60863b0cf1c4b288f1b39be5390a9d0312c","abstract_canon_sha256":"aae72d60b39f14571e0fed7bb767984b6db7e2b95ed7a712ea959bcd5d32c970"},"schema_version":"1.0"},"canonical_sha256":"e998e10667cb9a98a12387b23d80875c2cc19f414bfba2cb7022187c289d6a47","source":{"kind":"arxiv","id":"1705.01092","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01092","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01092v2","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01092","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"pith_short_12","alias_value":"5GMOCBTHZONJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5GMOCBTHZONJRIJD","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5GMOCBTH","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5GMOCBTHZONJRIJDQ6ZD3AEHLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.01092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-05-02T17:57:20Z","cross_cats_sorted":[],"title_canon_sha256":"51badbe0594edec2a3299f1fe04aa60863b0cf1c4b288f1b39be5390a9d0312c","abstract_canon_sha256":"aae72d60b39f14571e0fed7bb767984b6db7e2b95ed7a712ea959bcd5d32c970"},"schema_version":"1.0"},"canonical_sha256":"e998e10667cb9a98a12387b23d80875c2cc19f414bfba2cb7022187c289d6a47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:15.872612Z","signature_b64":"G26xdpJBD8yRDoPxawBiI339ho2zKQ/grptKPbBky1ncXnsB/px13YkuTmGiqDqrORHF341dW26WjM/dIHzeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e998e10667cb9a98a12387b23d80875c2cc19f414bfba2cb7022187c289d6a47","last_reissued_at":"2026-05-18T00:28:15.871879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:15.871879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.01092","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GPc7IjvkAybaMAjF7C8uNqP2V715qITM+pvfHXim5v5yqu7MZUCzedoVrGRdEcMDUFEs/i5K+Fy6kOy6IeUcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:40:31.341192Z"},"content_sha256":"2d5d32426d586f950dd74c85b26903dc52b53066f9b4577d372e9977eb611420","schema_version":"1.0","event_id":"sha256:2d5d32426d586f950dd74c85b26903dc52b53066f9b4577d372e9977eb611420"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5GMOCBTHZONJRIJDQ6ZD3AEHLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Response Approach to the Matter Power Spectrum Covariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alexandre Barreira (MPA), Fabian Schmidt (MPA)","submitted_at":"2017-05-02T17:57:20Z","abstract_excerpt":"We present a calculation of the matter power spectrum covariance matrix ${\\rm Cov}(\\bf{k}_1,\\bf{k}_2)$ that uses power spectrum responses to accurately describe the coupling between large- and small-scale modes beyond the perturbative regime. These response functions can be measured with (small-volume) N-body simulations, which is why the response contributions to the covariance remain valid and predictive at all orders in perturbation theory. A novel and key step presented here is the use of responses to compute loop contributions with soft loop momenta, which extends the application of the r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01092","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pd3a4JvpEWN++jiHHymlFgWCFAHUUDslSYJyS3ASGPhnqh7jUfuzH+M5tPgMYf92ajQrNM5E8PmcFIgEA77BDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:40:31.341918Z"},"content_sha256":"36750d27405da9a0ca6111dfc633d7bb3510eb2cd5c8a37f7cfc427dba588259","schema_version":"1.0","event_id":"sha256:36750d27405da9a0ca6111dfc633d7bb3510eb2cd5c8a37f7cfc427dba588259"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ/bundle.json","state_url":"https://pith.science/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ/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":"2026-05-25T19:40:31Z","links":{"resolver":"https://pith.science/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ","bundle":"https://pith.science/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ/bundle.json","state":"https://pith.science/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GMOCBTHZONJRIJDQ6ZD3AEHLQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5GMOCBTHZONJRIJDQ6ZD3AEHLQ","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":"aae72d60b39f14571e0fed7bb767984b6db7e2b95ed7a712ea959bcd5d32c970","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-05-02T17:57:20Z","title_canon_sha256":"51badbe0594edec2a3299f1fe04aa60863b0cf1c4b288f1b39be5390a9d0312c"},"schema_version":"1.0","source":{"id":"1705.01092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01092","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01092v2","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01092","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"pith_short_12","alias_value":"5GMOCBTHZONJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5GMOCBTHZONJRIJD","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5GMOCBTH","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:36750d27405da9a0ca6111dfc633d7bb3510eb2cd5c8a37f7cfc427dba588259","target":"graph","created_at":"2026-05-18T00:28:15Z","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 calculation of the matter power spectrum covariance matrix ${\\rm Cov}(\\bf{k}_1,\\bf{k}_2)$ that uses power spectrum responses to accurately describe the coupling between large- and small-scale modes beyond the perturbative regime. These response functions can be measured with (small-volume) N-body simulations, which is why the response contributions to the covariance remain valid and predictive at all orders in perturbation theory. A novel and key step presented here is the use of responses to compute loop contributions with soft loop momenta, which extends the application of the r","authors_text":"Alexandre Barreira (MPA), Fabian Schmidt (MPA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-05-02T17:57:20Z","title":"Response Approach to the Matter Power Spectrum Covariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01092","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":"sha256:2d5d32426d586f950dd74c85b26903dc52b53066f9b4577d372e9977eb611420","target":"record","created_at":"2026-05-18T00:28:15Z","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":"aae72d60b39f14571e0fed7bb767984b6db7e2b95ed7a712ea959bcd5d32c970","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-05-02T17:57:20Z","title_canon_sha256":"51badbe0594edec2a3299f1fe04aa60863b0cf1c4b288f1b39be5390a9d0312c"},"schema_version":"1.0","source":{"id":"1705.01092","kind":"arxiv","version":2}},"canonical_sha256":"e998e10667cb9a98a12387b23d80875c2cc19f414bfba2cb7022187c289d6a47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e998e10667cb9a98a12387b23d80875c2cc19f414bfba2cb7022187c289d6a47","first_computed_at":"2026-05-18T00:28:15.871879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:15.871879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G26xdpJBD8yRDoPxawBiI339ho2zKQ/grptKPbBky1ncXnsB/px13YkuTmGiqDqrORHF341dW26WjM/dIHzeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:15.872612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d5d32426d586f950dd74c85b26903dc52b53066f9b4577d372e9977eb611420","sha256:36750d27405da9a0ca6111dfc633d7bb3510eb2cd5c8a37f7cfc427dba588259"],"state_sha256":"d745a1fcb5193e9b451315b4468b732f44f86e4cfc6738c7cc9f0c097c5fc8dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/bdraCeaAV3DLLrWE5EZYuER3J/UNO6P6uPcXHTfac1NL493ySZf5J076j6XFFoG7YC0lJjk6ubxLfLFDLdDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:40:31.345276Z","bundle_sha256":"823727a96cd7aa12aaf621645471cd296a1b8236d5bf1e77b725bc5143d454bb"}}