{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KUI4UWZMWLBWJVIIBD36EYMLK6","short_pith_number":"pith:KUI4UWZM","canonical_record":{"source":{"id":"1207.1439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T20:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"4768bb01a7e640513d231cce5dae47fce6a9e47365b86d77fd658caac6d31f59","abstract_canon_sha256":"ea6ee83b36d2168880099d0e2fef0004f88d1acd886795feb4440a9db599f428"},"schema_version":"1.0"},"canonical_sha256":"5511ca5b2cb2c364d50808f7e2618b57a1880ea02558fcaedee0ed0fc71a95b1","source":{"kind":"arxiv","id":"1207.1439","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1439","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1439v2","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1439","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"KUI4UWZMWLBW","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KUI4UWZMWLBWJVII","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KUI4UWZM","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KUI4UWZMWLBWJVIIBD36EYMLK6","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T20:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"4768bb01a7e640513d231cce5dae47fce6a9e47365b86d77fd658caac6d31f59","abstract_canon_sha256":"ea6ee83b36d2168880099d0e2fef0004f88d1acd886795feb4440a9db599f428"},"schema_version":"1.0"},"canonical_sha256":"5511ca5b2cb2c364d50808f7e2618b57a1880ea02558fcaedee0ed0fc71a95b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:05.958142Z","signature_b64":"JIvHV7f08+/ZOR0tGu/eDvZJHo4cLNvSJG8aByprIL87R6pircp08+Oagxv/tAU3i/3MlpUHfqX6DS7eYE2cBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5511ca5b2cb2c364d50808f7e2618b57a1880ea02558fcaedee0ed0fc71a95b1","last_reissued_at":"2026-05-18T03:25:05.957489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:05.957489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1439","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":"2026-05-18T03:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N4rjm83Lr8Nd7DRaUcSOMx7SMHzUV6xcqqQOCeht7eCjtMivWJzQDkJ0JM5YQIBupZgvi0aDcDuV0ufSnHJ+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:22:44.204205Z"},"content_sha256":"deb346288976a7b208d40a024c8811f0c0d0e4e5f04cfd4ac88483a9c092f2fa","schema_version":"1.0","event_id":"sha256:deb346288976a7b208d40a024c8811f0c0d0e4e5f04cfd4ac88483a9c092f2fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KUI4UWZMWLBWJVIIBD36EYMLK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An improved model for the nonlinear velocity power spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Elise Jennings (KICP, The Enrico Fermi Institute, University of Chicago)","submitted_at":"2012-07-05T20:00:05Z","abstract_excerpt":"The velocity divergence power spectrum is a key ingredient in modelling redshift space distortion effects on quasi-linear and nonlinear scales. We present an improved model for the z=0 velocity divergence auto and cross power spectrum which was originally suggested by Jennings et al. 2011. Using numerical simulations we measure the velocity fields using a Delaunay tesselation and obtain an accurate prediction of the velocity divergence power spectrum on scales k < 1 hMpc^{-1}. We use this to update the model which is now accurate to 2% for both P_{\\theta \\theta} and P_{\\theta \\delta} at z=0 on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1439","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":"2026-05-18T03:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2/4n7TiHjqip/y3G7IGUgUAbkpk86T8yjvVnb0DKn8+9/GQ2Ypm7CDG4v2QRk6mN0qisoMsavtHx5z7EotuAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:22:44.204853Z"},"content_sha256":"20f65493c3aa10e28f66109aa5e9e59f29e1ed485bf1261ff50063ca3fc70643","schema_version":"1.0","event_id":"sha256:20f65493c3aa10e28f66109aa5e9e59f29e1ed485bf1261ff50063ca3fc70643"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUI4UWZMWLBWJVIIBD36EYMLK6/bundle.json","state_url":"https://pith.science/pith/KUI4UWZMWLBWJVIIBD36EYMLK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUI4UWZMWLBWJVIIBD36EYMLK6/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":"2026-05-25T09:22:44Z","links":{"resolver":"https://pith.science/pith/KUI4UWZMWLBWJVIIBD36EYMLK6","bundle":"https://pith.science/pith/KUI4UWZMWLBWJVIIBD36EYMLK6/bundle.json","state":"https://pith.science/pith/KUI4UWZMWLBWJVIIBD36EYMLK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUI4UWZMWLBWJVIIBD36EYMLK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KUI4UWZMWLBWJVIIBD36EYMLK6","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":"ea6ee83b36d2168880099d0e2fef0004f88d1acd886795feb4440a9db599f428","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T20:00:05Z","title_canon_sha256":"4768bb01a7e640513d231cce5dae47fce6a9e47365b86d77fd658caac6d31f59"},"schema_version":"1.0","source":{"id":"1207.1439","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1439","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1439v2","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1439","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"KUI4UWZMWLBW","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KUI4UWZMWLBWJVII","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KUI4UWZM","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:20f65493c3aa10e28f66109aa5e9e59f29e1ed485bf1261ff50063ca3fc70643","target":"graph","created_at":"2026-05-18T03:25:05Z","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 velocity divergence power spectrum is a key ingredient in modelling redshift space distortion effects on quasi-linear and nonlinear scales. We present an improved model for the z=0 velocity divergence auto and cross power spectrum which was originally suggested by Jennings et al. 2011. Using numerical simulations we measure the velocity fields using a Delaunay tesselation and obtain an accurate prediction of the velocity divergence power spectrum on scales k < 1 hMpc^{-1}. We use this to update the model which is now accurate to 2% for both P_{\\theta \\theta} and P_{\\theta \\delta} at z=0 on","authors_text":"Elise Jennings (KICP, The Enrico Fermi Institute, University of Chicago)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T20:00:05Z","title":"An improved model for the nonlinear velocity power spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1439","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:deb346288976a7b208d40a024c8811f0c0d0e4e5f04cfd4ac88483a9c092f2fa","target":"record","created_at":"2026-05-18T03:25:05Z","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":"ea6ee83b36d2168880099d0e2fef0004f88d1acd886795feb4440a9db599f428","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T20:00:05Z","title_canon_sha256":"4768bb01a7e640513d231cce5dae47fce6a9e47365b86d77fd658caac6d31f59"},"schema_version":"1.0","source":{"id":"1207.1439","kind":"arxiv","version":2}},"canonical_sha256":"5511ca5b2cb2c364d50808f7e2618b57a1880ea02558fcaedee0ed0fc71a95b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5511ca5b2cb2c364d50808f7e2618b57a1880ea02558fcaedee0ed0fc71a95b1","first_computed_at":"2026-05-18T03:25:05.957489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:05.957489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JIvHV7f08+/ZOR0tGu/eDvZJHo4cLNvSJG8aByprIL87R6pircp08+Oagxv/tAU3i/3MlpUHfqX6DS7eYE2cBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:05.958142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1439","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:deb346288976a7b208d40a024c8811f0c0d0e4e5f04cfd4ac88483a9c092f2fa","sha256:20f65493c3aa10e28f66109aa5e9e59f29e1ed485bf1261ff50063ca3fc70643"],"state_sha256":"0c64b09ae8532f7d8fcce53098869c99a227b0ebbcc3ad0fe6d76300a57cfe36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MkDxI2lc+bTFcjl3z9R9Sx5JJoVGeNLOGwN3WdqBJ5bihIGBdkxhyVeuSSAv6mti5jQ7hOAr0q0c7TzS/qiRAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:22:44.207524Z","bundle_sha256":"24df9766425c6c887310b21e8fcadeea17d12828e8b3cea1bf663385d2768509"}}