{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:NJWNTTLU4BLW3OOTVDVWP7AWJA","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":"2ed163c4523f87eecfb2e03b5846ab7230cbc5a1daab03b49cd6811c6ab3e584","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-09-27T07:47:19Z","title_canon_sha256":"254d7f85183eea051af82c482492b4a3bda83997559bc0ab4c4e848ec7efbb37"},"schema_version":"1.0","source":{"id":"astro-ph/0609740","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0609740","created_at":"2026-05-18T01:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0609740v2","created_at":"2026-05-18T01:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0609740","created_at":"2026-05-18T01:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"NJWNTTLU4BLW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"NJWNTTLU4BLW3OOT","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"NJWNTTLU","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:82bc2510c7adedd4d2042558d00c07795d08048aca1bf2857e5d51e7305ee184","target":"graph","created_at":"2026-05-18T01:40:29Z","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 consider nonlinear biasing models of galaxies with particular attention to a correlation between linear and quadratic biasing coefficients, b_1 and b_2. We first derive perturbative expressions for b_1 and b_2 in halo and peak biasing models. Then we compute power spectra and bispectra of dark matter particles and halos using N-body simulation data and of volume-limited subsamples of Sloan Digital Sky Survey (SDSS) galaxies, and determine their b_1 and b_2. We find that the values of those coefficients at linear regimes (k<0.2h/Mpc) are fairly insensitive to the redshift-space distortion an","authors_text":"Atsushi Taruya, Chiaki Hikage, Issha Kayo, Kazuhiro Yahata, Ravi K. Sheth, Takahiro Nishimichi, Yasushi Suto, Y. P. Jing","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-09-27T07:47:19Z","title":"Bispectrum and Nonlinear Biasing of Galaxies: Perturbation Analysis, Numerical Simulation and SDSS Galaxy Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0609740","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":"sha256:879f6b1aca9220500e3f007449ab03d8f1e27434731bd020653a9d5c9d16f654","target":"record","created_at":"2026-05-18T01:40:29Z","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":"2ed163c4523f87eecfb2e03b5846ab7230cbc5a1daab03b49cd6811c6ab3e584","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-09-27T07:47:19Z","title_canon_sha256":"254d7f85183eea051af82c482492b4a3bda83997559bc0ab4c4e848ec7efbb37"},"schema_version":"1.0","source":{"id":"astro-ph/0609740","kind":"arxiv","version":2}},"canonical_sha256":"6a6cd9cd74e0576db9d3a8eb67fc164821342af1f215ac244e759728a6493914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a6cd9cd74e0576db9d3a8eb67fc164821342af1f215ac244e759728a6493914","first_computed_at":"2026-05-18T01:40:29.530288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:29.530288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XruoY7Tpa0EDHw1kD0kl4SmF3MUME1nxHJKAAbvpwgGQKlMoij63ywf1TVo7Uj7Cr7iTRQI1p7WmtSBnwI+yAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:29.530973Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0609740","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:879f6b1aca9220500e3f007449ab03d8f1e27434731bd020653a9d5c9d16f654","sha256:82bc2510c7adedd4d2042558d00c07795d08048aca1bf2857e5d51e7305ee184"],"state_sha256":"acf0facc9bcf812c56d5ea595a725a8ff1aa18859ea8c2af542eb09143ec9959"}