{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VX6BCDTLKXT7MEEDKMZSSKQARA","short_pith_number":"pith:VX6BCDTL","canonical_record":{"source":{"id":"1604.06579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-22T09:12:02Z","cross_cats_sorted":[],"title_canon_sha256":"81dff218519e952e5a62efb6f9fce3403725947aa33e3534a24503cab19bcd7f","abstract_canon_sha256":"b9136b6b3dd9569d41e4bde6f47840d5ba01315d7f62fd8a6b929759e8fc688d"},"schema_version":"1.0"},"canonical_sha256":"adfc110e6b55e7f610835333292a00881fd9b37469dc685173dbee553cb0b494","source":{"kind":"arxiv","id":"1604.06579","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06579","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06579v2","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06579","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"VX6BCDTLKXT7","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VX6BCDTLKXT7MEED","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VX6BCDTL","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VX6BCDTLKXT7MEEDKMZSSKQARA","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-22T09:12:02Z","cross_cats_sorted":[],"title_canon_sha256":"81dff218519e952e5a62efb6f9fce3403725947aa33e3534a24503cab19bcd7f","abstract_canon_sha256":"b9136b6b3dd9569d41e4bde6f47840d5ba01315d7f62fd8a6b929759e8fc688d"},"schema_version":"1.0"},"canonical_sha256":"adfc110e6b55e7f610835333292a00881fd9b37469dc685173dbee553cb0b494","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:49.652470Z","signature_b64":"9R4aeMDx0f+DhWOS+GnMSI/RJnEXve2JxNSPlr7Rto3zrGGay5nDVe99H/Lx3T16hQFExMO5TiGXnJMLl556Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adfc110e6b55e7f610835333292a00881fd9b37469dc685173dbee553cb0b494","last_reissued_at":"2026-05-18T01:10:49.651997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:49.651997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06579","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":"2026-05-18T01:10:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L+QZvz6nr6ZjYMEfKRYZ2nyj6jJoDYqkgsO5J8n2FSsJJhAd6uGHSo2/B69nfW0MCTtSl6gVkep6ljs/JGhRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:51:37.270540Z"},"content_sha256":"46fdc2f3d4e621cf4b2e0ed552d95558edf13d0336ccb8fa972e81f8cc3dd01b","schema_version":"1.0","event_id":"sha256:46fdc2f3d4e621cf4b2e0ed552d95558edf13d0336ccb8fa972e81f8cc3dd01b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VX6BCDTLKXT7MEEDKMZSSKQARA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Impacts of biasing schemes in the one-loop integrated perturbation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Takahiko Matsubara, Vincent Desjacques","submitted_at":"2016-04-22T09:12:02Z","abstract_excerpt":"The impact of biasing schemes on the clustering of tracers of the large-scale structure is analytically studied in the weakly nonlinear regime. For this purpose, we use the one-loop approximation of the integrated perturbation theory together with the renormalized bias functions of various, physically motivated Lagrangian bias schemes. These include the halo, peaks and excursion set peaks model, for which we derive useful formulae for the evaluation of their renormalized bias functions. The shapes of the power spectra and correlation functions are affected by the different bias models at the l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06579","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":"2026-05-18T01:10:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iqaQO8FJzPYk+LFh2eUn+TYu93qeWUECvi4xL7rzlGkv0x7c+V68a/9rXHfOl6aI2w43V8p/wQWVBlzqfpqhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:51:37.270884Z"},"content_sha256":"db478e2dcfa4be340aaf756966228f63875d28108f6ff8f71b235260d2d133d8","schema_version":"1.0","event_id":"sha256:db478e2dcfa4be340aaf756966228f63875d28108f6ff8f71b235260d2d133d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VX6BCDTLKXT7MEEDKMZSSKQARA/bundle.json","state_url":"https://pith.science/pith/VX6BCDTLKXT7MEEDKMZSSKQARA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VX6BCDTLKXT7MEEDKMZSSKQARA/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":"2026-06-02T21:51:37Z","links":{"resolver":"https://pith.science/pith/VX6BCDTLKXT7MEEDKMZSSKQARA","bundle":"https://pith.science/pith/VX6BCDTLKXT7MEEDKMZSSKQARA/bundle.json","state":"https://pith.science/pith/VX6BCDTLKXT7MEEDKMZSSKQARA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VX6BCDTLKXT7MEEDKMZSSKQARA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VX6BCDTLKXT7MEEDKMZSSKQARA","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":"b9136b6b3dd9569d41e4bde6f47840d5ba01315d7f62fd8a6b929759e8fc688d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-22T09:12:02Z","title_canon_sha256":"81dff218519e952e5a62efb6f9fce3403725947aa33e3534a24503cab19bcd7f"},"schema_version":"1.0","source":{"id":"1604.06579","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06579","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06579v2","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06579","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"VX6BCDTLKXT7","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VX6BCDTLKXT7MEED","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VX6BCDTL","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:db478e2dcfa4be340aaf756966228f63875d28108f6ff8f71b235260d2d133d8","target":"graph","created_at":"2026-05-18T01:10:49Z","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":"The impact of biasing schemes on the clustering of tracers of the large-scale structure is analytically studied in the weakly nonlinear regime. For this purpose, we use the one-loop approximation of the integrated perturbation theory together with the renormalized bias functions of various, physically motivated Lagrangian bias schemes. These include the halo, peaks and excursion set peaks model, for which we derive useful formulae for the evaluation of their renormalized bias functions. The shapes of the power spectra and correlation functions are affected by the different bias models at the l","authors_text":"Takahiko Matsubara, Vincent Desjacques","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-22T09:12:02Z","title":"Impacts of biasing schemes in the one-loop integrated perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06579","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":"sha256:46fdc2f3d4e621cf4b2e0ed552d95558edf13d0336ccb8fa972e81f8cc3dd01b","target":"record","created_at":"2026-05-18T01:10:49Z","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":"b9136b6b3dd9569d41e4bde6f47840d5ba01315d7f62fd8a6b929759e8fc688d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-22T09:12:02Z","title_canon_sha256":"81dff218519e952e5a62efb6f9fce3403725947aa33e3534a24503cab19bcd7f"},"schema_version":"1.0","source":{"id":"1604.06579","kind":"arxiv","version":2}},"canonical_sha256":"adfc110e6b55e7f610835333292a00881fd9b37469dc685173dbee553cb0b494","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adfc110e6b55e7f610835333292a00881fd9b37469dc685173dbee553cb0b494","first_computed_at":"2026-05-18T01:10:49.651997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:49.651997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9R4aeMDx0f+DhWOS+GnMSI/RJnEXve2JxNSPlr7Rto3zrGGay5nDVe99H/Lx3T16hQFExMO5TiGXnJMLl556Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:49.652470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06579","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46fdc2f3d4e621cf4b2e0ed552d95558edf13d0336ccb8fa972e81f8cc3dd01b","sha256:db478e2dcfa4be340aaf756966228f63875d28108f6ff8f71b235260d2d133d8"],"state_sha256":"82a7866836466435559f3eae7478674dd8c1ca6b06f6770e8ef4df162d33f087"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z9d47j1b0DC5y7nkcpbPfFYQ7kvSmO7yHKs6mFvw+rR/SIii3vYMxbWslZ4Lq2S0srtd25QpHrqXuePT5+aYDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:51:37.272809Z","bundle_sha256":"04d112ed79691f88fef760cbb8c8018d3a02d8af2c3454025598b9c71c0fccff"}}