{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DRUM2WRFOCA4VSJOKAZFJSUYER","short_pith_number":"pith:DRUM2WRF","canonical_record":{"source":{"id":"1805.05304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-05-14T17:26:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9c823b21d7115946af394ce8ea59a5b9d9b5a834b4d14e3c588ca4107c606188","abstract_canon_sha256":"037f39508f18864985a050568b7aadc0df39c46b191dd8fa7aa7805f4b09b314"},"schema_version":"1.0"},"canonical_sha256":"1c68cd5a257081cac92e503254ca98245e8ddaa1fac0059696999b409ee1c154","source":{"kind":"arxiv","id":"1805.05304","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.05304","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"arxiv_version","alias_value":"1805.05304v2","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05304","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"pith_short_12","alias_value":"DRUM2WRFOCA4","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DRUM2WRFOCA4VSJO","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DRUM2WRF","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DRUM2WRFOCA4VSJOKAZFJSUYER","target":"record","payload":{"canonical_record":{"source":{"id":"1805.05304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-05-14T17:26:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9c823b21d7115946af394ce8ea59a5b9d9b5a834b4d14e3c588ca4107c606188","abstract_canon_sha256":"037f39508f18864985a050568b7aadc0df39c46b191dd8fa7aa7805f4b09b314"},"schema_version":"1.0"},"canonical_sha256":"1c68cd5a257081cac92e503254ca98245e8ddaa1fac0059696999b409ee1c154","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:13.191598Z","signature_b64":"8R/1tEI6Pf1XR8m+VQZdDipuk51U0ngGyGokkbQgI5mYMDi1o5hdy0TREgcJVgqA/7KyB+o2ILIapvJFGqwtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c68cd5a257081cac92e503254ca98245e8ddaa1fac0059696999b409ee1c154","last_reissued_at":"2026-05-18T00:00:13.191024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:13.191024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.05304","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":"2026-05-18T00:00:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KVRykOjP0ycGEbI1IlB1I7NwteD1ZV2WI/5pfJ3jIwz2TyBkXFnBzF8xeQOO5rWsfBsAZRNciAPbmz2WfxuJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:47:02.021434Z"},"content_sha256":"24294a765b7504c2ccdbbcf957a51c841d5461526f1b1d1b819e7bb4e66ce507","schema_version":"1.0","event_id":"sha256:24294a765b7504c2ccdbbcf957a51c841d5461526f1b1d1b819e7bb4e66ce507"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DRUM2WRFOCA4VSJOKAZFJSUYER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of Lagrangian bias via spectral parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Alejandro Aviles","submitted_at":"2018-05-14T17:26:36Z","abstract_excerpt":"We extend the definition of Lagrangian local bias proposed by Matsubara (2008) to include curvature and higher-derivative bias operators. Evolution of initially biased tracers using perturbation theory (PT) generates multivariate bias parameters as soon as nonlinear fluctuations become important. We present a procedure that reparametrize a set of spectral parameters, the arguments of the Fourier transformed Lagrangian bias function, from which multivariate renormalized biases can be derived at any order in bias expansion and PT. We find our method simpler than previous renormalization schemes "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05304","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":"2026-05-18T00:00:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMsiwydubRWLtZ6G8m5eX3HfYyScmW6ffjJLScAs4B3S6HTsPwbkaKZZWkQG83piJ820RK9aX+YbsJTFIR1iBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:47:02.022428Z"},"content_sha256":"5a0a2861d43fa77c86ab44894b8b8573d28caa7e876db91a8e8b0b4a1097d594","schema_version":"1.0","event_id":"sha256:5a0a2861d43fa77c86ab44894b8b8573d28caa7e876db91a8e8b0b4a1097d594"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DRUM2WRFOCA4VSJOKAZFJSUYER/bundle.json","state_url":"https://pith.science/pith/DRUM2WRFOCA4VSJOKAZFJSUYER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DRUM2WRFOCA4VSJOKAZFJSUYER/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":"2026-08-04T01:47:02Z","links":{"resolver":"https://pith.science/pith/DRUM2WRFOCA4VSJOKAZFJSUYER","bundle":"https://pith.science/pith/DRUM2WRFOCA4VSJOKAZFJSUYER/bundle.json","state":"https://pith.science/pith/DRUM2WRFOCA4VSJOKAZFJSUYER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DRUM2WRFOCA4VSJOKAZFJSUYER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DRUM2WRFOCA4VSJOKAZFJSUYER","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":"037f39508f18864985a050568b7aadc0df39c46b191dd8fa7aa7805f4b09b314","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-05-14T17:26:36Z","title_canon_sha256":"9c823b21d7115946af394ce8ea59a5b9d9b5a834b4d14e3c588ca4107c606188"},"schema_version":"1.0","source":{"id":"1805.05304","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.05304","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"arxiv_version","alias_value":"1805.05304v2","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05304","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"pith_short_12","alias_value":"DRUM2WRFOCA4","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DRUM2WRFOCA4VSJO","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DRUM2WRF","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:5a0a2861d43fa77c86ab44894b8b8573d28caa7e876db91a8e8b0b4a1097d594","target":"graph","created_at":"2026-05-18T00:00:13Z","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 extend the definition of Lagrangian local bias proposed by Matsubara (2008) to include curvature and higher-derivative bias operators. Evolution of initially biased tracers using perturbation theory (PT) generates multivariate bias parameters as soon as nonlinear fluctuations become important. We present a procedure that reparametrize a set of spectral parameters, the arguments of the Fourier transformed Lagrangian bias function, from which multivariate renormalized biases can be derived at any order in bias expansion and PT. We find our method simpler than previous renormalization schemes ","authors_text":"Alejandro Aviles","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-05-14T17:26:36Z","title":"Renormalization of Lagrangian bias via spectral parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05304","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":"sha256:24294a765b7504c2ccdbbcf957a51c841d5461526f1b1d1b819e7bb4e66ce507","target":"record","created_at":"2026-05-18T00:00:13Z","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":"037f39508f18864985a050568b7aadc0df39c46b191dd8fa7aa7805f4b09b314","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-05-14T17:26:36Z","title_canon_sha256":"9c823b21d7115946af394ce8ea59a5b9d9b5a834b4d14e3c588ca4107c606188"},"schema_version":"1.0","source":{"id":"1805.05304","kind":"arxiv","version":2}},"canonical_sha256":"1c68cd5a257081cac92e503254ca98245e8ddaa1fac0059696999b409ee1c154","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c68cd5a257081cac92e503254ca98245e8ddaa1fac0059696999b409ee1c154","first_computed_at":"2026-05-18T00:00:13.191024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:13.191024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8R/1tEI6Pf1XR8m+VQZdDipuk51U0ngGyGokkbQgI5mYMDi1o5hdy0TREgcJVgqA/7KyB+o2ILIapvJFGqwtBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:13.191598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.05304","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24294a765b7504c2ccdbbcf957a51c841d5461526f1b1d1b819e7bb4e66ce507","sha256:5a0a2861d43fa77c86ab44894b8b8573d28caa7e876db91a8e8b0b4a1097d594"],"state_sha256":"8cb82cb2c54b16daccd322a649aca16be5c23eb3440909ab7d20f25cbfd45478"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IVV1xxjsYyNJIc+fUGeQk1tz25SqxqsbFJm7NKVYYlZASWVcxa3dgabMip4atG1G0X/b6B1YBbfz2abzFUlkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:47:02.030479Z","bundle_sha256":"754dad320bb31b0ce79aef21e46679c49b3502997df9ef710cde8b5e7bd6d1b5"}}