{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2QSHSU5WUSNMYDFRW7XU5GIGJT","short_pith_number":"pith:2QSHSU5W","canonical_record":{"source":{"id":"1012.1335","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-06T21:09:56Z","cross_cats_sorted":[],"title_canon_sha256":"43acba9643ec0c20c3d49df80cfae6e93d5ce2794d22da5f9b26d8ba71f64197","abstract_canon_sha256":"b8a8f039b4e19faa793413e6db6cb3aa285eb0ebcb210b501bd5403b15db92e3"},"schema_version":"1.0"},"canonical_sha256":"d4247953b6a49acc0cb1b7ef4e99064cc177553d74c69dd41e671e28ca7a1267","source":{"kind":"arxiv","id":"1012.1335","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1335","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1335v2","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1335","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"pith_short_12","alias_value":"2QSHSU5WUSNM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2QSHSU5WUSNMYDFR","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2QSHSU5W","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2QSHSU5WUSNMYDFRW7XU5GIGJT","target":"record","payload":{"canonical_record":{"source":{"id":"1012.1335","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-06T21:09:56Z","cross_cats_sorted":[],"title_canon_sha256":"43acba9643ec0c20c3d49df80cfae6e93d5ce2794d22da5f9b26d8ba71f64197","abstract_canon_sha256":"b8a8f039b4e19faa793413e6db6cb3aa285eb0ebcb210b501bd5403b15db92e3"},"schema_version":"1.0"},"canonical_sha256":"d4247953b6a49acc0cb1b7ef4e99064cc177553d74c69dd41e671e28ca7a1267","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:22.805984Z","signature_b64":"4JSqQQeoiFqxYBxV/6LT5rVFXWM1w9JDDgPOvRmVluGYz/nFQtQEevuFjOflyBuyR44fnBHv/IlOlYCFCLgRDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4247953b6a49acc0cb1b7ef4e99064cc177553d74c69dd41e671e28ca7a1267","last_reissued_at":"2026-05-18T04:26:22.805601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:22.805601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.1335","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":"2026-05-18T04:26:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tzcaCCPZA5H8hG3vD4Gt77a4VRdFyy3hzJe3m+iZ1zJiVVjJVPRLpYtQh0f6n/qm+748/nGfjjOcfKwin4+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:46:22.848760Z"},"content_sha256":"6cb379b3afc5e6244ec33eabbb72b972735e62d74c160929cb1f85ca7802e847","schema_version":"1.0","event_id":"sha256:6cb379b3afc5e6244ec33eabbb72b972735e62d74c160929cb1f85ca7802e847"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2QSHSU5WUSNMYDFRW7XU5GIGJT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scale-dependent halo bias from scale-dependent growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Kyle Parfrey, Lam Hui, Ravi K. Sheth","submitted_at":"2010-12-06T21:09:56Z","abstract_excerpt":"We derive a general expression for the large-scale halo bias, in theories with a scale-dependent linear growth, using the excursion set formalism. Such theories include modified gravity models, and models in which the dark energy clustering is non-negligible. A scale dependence is imprinted in both the formation and evolved biases by the scale-dependent growth. Mergers are accounted for in our derivation, which thus extends earlier work which focused on passive evolution. There is a simple analytic form for the bias for those theories in which the nonlinear collapse of perturbations is approxi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1335","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":"2026-05-18T04:26:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YjIHHHlZELubW5vbFWV1EjAGNVkl7A/iV/Dy89VFfQqY779eiXOmy2JzQxF4W/kTI02DKZHhQlxNfePBPXDBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:46:22.849198Z"},"content_sha256":"30d454484e58d07dd280dafd28147735c3cfdd4438562088674ebec313f5e79e","schema_version":"1.0","event_id":"sha256:30d454484e58d07dd280dafd28147735c3cfdd4438562088674ebec313f5e79e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT/bundle.json","state_url":"https://pith.science/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT/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":"2026-06-12T09:46:22Z","links":{"resolver":"https://pith.science/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT","bundle":"https://pith.science/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT/bundle.json","state":"https://pith.science/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QSHSU5WUSNMYDFRW7XU5GIGJT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2QSHSU5WUSNMYDFRW7XU5GIGJT","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":"b8a8f039b4e19faa793413e6db6cb3aa285eb0ebcb210b501bd5403b15db92e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-06T21:09:56Z","title_canon_sha256":"43acba9643ec0c20c3d49df80cfae6e93d5ce2794d22da5f9b26d8ba71f64197"},"schema_version":"1.0","source":{"id":"1012.1335","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1335","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1335v2","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1335","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"pith_short_12","alias_value":"2QSHSU5WUSNM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2QSHSU5WUSNMYDFR","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2QSHSU5W","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:30d454484e58d07dd280dafd28147735c3cfdd4438562088674ebec313f5e79e","target":"graph","created_at":"2026-05-18T04:26:22Z","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 derive a general expression for the large-scale halo bias, in theories with a scale-dependent linear growth, using the excursion set formalism. Such theories include modified gravity models, and models in which the dark energy clustering is non-negligible. A scale dependence is imprinted in both the formation and evolved biases by the scale-dependent growth. Mergers are accounted for in our derivation, which thus extends earlier work which focused on passive evolution. There is a simple analytic form for the bias for those theories in which the nonlinear collapse of perturbations is approxi","authors_text":"Kyle Parfrey, Lam Hui, Ravi K. Sheth","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-06T21:09:56Z","title":"Scale-dependent halo bias from scale-dependent growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1335","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":"sha256:6cb379b3afc5e6244ec33eabbb72b972735e62d74c160929cb1f85ca7802e847","target":"record","created_at":"2026-05-18T04:26:22Z","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":"b8a8f039b4e19faa793413e6db6cb3aa285eb0ebcb210b501bd5403b15db92e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-06T21:09:56Z","title_canon_sha256":"43acba9643ec0c20c3d49df80cfae6e93d5ce2794d22da5f9b26d8ba71f64197"},"schema_version":"1.0","source":{"id":"1012.1335","kind":"arxiv","version":2}},"canonical_sha256":"d4247953b6a49acc0cb1b7ef4e99064cc177553d74c69dd41e671e28ca7a1267","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4247953b6a49acc0cb1b7ef4e99064cc177553d74c69dd41e671e28ca7a1267","first_computed_at":"2026-05-18T04:26:22.805601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:22.805601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4JSqQQeoiFqxYBxV/6LT5rVFXWM1w9JDDgPOvRmVluGYz/nFQtQEevuFjOflyBuyR44fnBHv/IlOlYCFCLgRDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:22.805984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.1335","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cb379b3afc5e6244ec33eabbb72b972735e62d74c160929cb1f85ca7802e847","sha256:30d454484e58d07dd280dafd28147735c3cfdd4438562088674ebec313f5e79e"],"state_sha256":"e62ea34d9526b5c53eaf1c715dee8098fc78b832884d22c9b552209b3d4a6aa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1UA3OqbzJajmFsaXgDFM+zs+fUUOMgLruOIyO3ZfLp/nYyJcKY0dU8tOI/E8RqKswYdYG5RKmIQNeaTweoUOCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:46:22.851785Z","bundle_sha256":"92d5cf19a70d037ac9e8b9671c9cd3849396065d246ec0af033555b44c3a38f2"}}