{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5LOI6IX3MAPO6QQVTKRAM7LU27","short_pith_number":"pith:5LOI6IX3","canonical_record":{"source":{"id":"1004.3086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-19T03:49:43Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d9a5adbf8d8afb8b9dd399441621017da2740abce48590a7ea393c57f4acb26f","abstract_canon_sha256":"c0ae3f654b1532f12baf24e7e1156b129c72500542e167d709a6381264b2ad76"},"schema_version":"1.0"},"canonical_sha256":"eadc8f22fb601eef42159aa2067d74d7e61f6d6d47d31bd2e3f23dc0a63d7aa4","source":{"kind":"arxiv","id":"1004.3086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3086","created_at":"2026-05-18T02:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3086v1","created_at":"2026-05-18T02:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3086","created_at":"2026-05-18T02:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"5LOI6IX3MAPO","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5LOI6IX3MAPO6QQV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5LOI6IX3","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5LOI6IX3MAPO6QQVTKRAM7LU27","target":"record","payload":{"canonical_record":{"source":{"id":"1004.3086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-19T03:49:43Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d9a5adbf8d8afb8b9dd399441621017da2740abce48590a7ea393c57f4acb26f","abstract_canon_sha256":"c0ae3f654b1532f12baf24e7e1156b129c72500542e167d709a6381264b2ad76"},"schema_version":"1.0"},"canonical_sha256":"eadc8f22fb601eef42159aa2067d74d7e61f6d6d47d31bd2e3f23dc0a63d7aa4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:57.056732Z","signature_b64":"wKf8NWHurNOeG7FJiho7NCXCjBxvY3BdAsmilK+x0yQUP28wrGfkEUT1x6s3qygf6Ynfwelwhg0djUJd+F4sDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eadc8f22fb601eef42159aa2067d74d7e61f6d6d47d31bd2e3f23dc0a63d7aa4","last_reissued_at":"2026-05-18T02:07:57.055984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:57.055984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.3086","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"whC0XZK2qPSxj0OJfDHT9RlDsogNpSFmWPJYdjTUXs4JFUcPO93K/e9XQRtnSCF5osmZv0lBOWm+oYeLkNQFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:34:53.394168Z"},"content_sha256":"0c70a4b8a9b08b65c7ac2cd9754a8f8bcb0c199b30b15e76913b58f54f6e3438","schema_version":"1.0","event_id":"sha256:0c70a4b8a9b08b65c7ac2cd9754a8f8bcb0c199b30b15e76913b58f54f6e3438"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5LOI6IX3MAPO6QQVTKRAM7LU27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constraints on growth index parameters from current and future observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Anzhong Wang, Jacob Moldenhauer, Jason Dossett, Mustapha Ishak, Yungui Gong","submitted_at":"2010-04-19T03:49:43Z","abstract_excerpt":"We use current and future simulated data of the growth rate of large scale structure in combination with data from supernova, BAO, and CMB surface measurements, in order to put constraints on the growth index parameters. We use a recently proposed parameterization of the growth index that interpolates between a constant value at high redshifts and a form that accounts for redshift dependencies at small redshifts. We also suggest here another exponential parameterization with a similar behaviour. The redshift dependent parametrizations provide a sub-percent precision level to the numerical grow"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3086","kind":"arxiv","version":1},"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":"2026-05-18T02:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9/0dIu3quL5jo/Val8mZVI+fo/RDdKze8HGfYa071kshEUDvshuem5uVdGNRqd35EF94kwCGPDPiivPMInzyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:34:53.394833Z"},"content_sha256":"8577f57015088644227c88d1bfc432e758cb735430842cf7baaa97891154f3dc","schema_version":"1.0","event_id":"sha256:8577f57015088644227c88d1bfc432e758cb735430842cf7baaa97891154f3dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5LOI6IX3MAPO6QQVTKRAM7LU27/bundle.json","state_url":"https://pith.science/pith/5LOI6IX3MAPO6QQVTKRAM7LU27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5LOI6IX3MAPO6QQVTKRAM7LU27/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":"2026-05-26T14:34:53Z","links":{"resolver":"https://pith.science/pith/5LOI6IX3MAPO6QQVTKRAM7LU27","bundle":"https://pith.science/pith/5LOI6IX3MAPO6QQVTKRAM7LU27/bundle.json","state":"https://pith.science/pith/5LOI6IX3MAPO6QQVTKRAM7LU27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5LOI6IX3MAPO6QQVTKRAM7LU27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5LOI6IX3MAPO6QQVTKRAM7LU27","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":"c0ae3f654b1532f12baf24e7e1156b129c72500542e167d709a6381264b2ad76","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-19T03:49:43Z","title_canon_sha256":"d9a5adbf8d8afb8b9dd399441621017da2740abce48590a7ea393c57f4acb26f"},"schema_version":"1.0","source":{"id":"1004.3086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3086","created_at":"2026-05-18T02:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3086v1","created_at":"2026-05-18T02:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3086","created_at":"2026-05-18T02:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"5LOI6IX3MAPO","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5LOI6IX3MAPO6QQV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5LOI6IX3","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:8577f57015088644227c88d1bfc432e758cb735430842cf7baaa97891154f3dc","target":"graph","created_at":"2026-05-18T02:07:57Z","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 use current and future simulated data of the growth rate of large scale structure in combination with data from supernova, BAO, and CMB surface measurements, in order to put constraints on the growth index parameters. We use a recently proposed parameterization of the growth index that interpolates between a constant value at high redshifts and a form that accounts for redshift dependencies at small redshifts. We also suggest here another exponential parameterization with a similar behaviour. The redshift dependent parametrizations provide a sub-percent precision level to the numerical grow","authors_text":"Anzhong Wang, Jacob Moldenhauer, Jason Dossett, Mustapha Ishak, Yungui Gong","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-19T03:49:43Z","title":"Constraints on growth index parameters from current and future observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3086","kind":"arxiv","version":1},"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":"sha256:0c70a4b8a9b08b65c7ac2cd9754a8f8bcb0c199b30b15e76913b58f54f6e3438","target":"record","created_at":"2026-05-18T02:07:57Z","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":"c0ae3f654b1532f12baf24e7e1156b129c72500542e167d709a6381264b2ad76","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-19T03:49:43Z","title_canon_sha256":"d9a5adbf8d8afb8b9dd399441621017da2740abce48590a7ea393c57f4acb26f"},"schema_version":"1.0","source":{"id":"1004.3086","kind":"arxiv","version":1}},"canonical_sha256":"eadc8f22fb601eef42159aa2067d74d7e61f6d6d47d31bd2e3f23dc0a63d7aa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eadc8f22fb601eef42159aa2067d74d7e61f6d6d47d31bd2e3f23dc0a63d7aa4","first_computed_at":"2026-05-18T02:07:57.055984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:57.055984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wKf8NWHurNOeG7FJiho7NCXCjBxvY3BdAsmilK+x0yQUP28wrGfkEUT1x6s3qygf6Ynfwelwhg0djUJd+F4sDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:57.056732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c70a4b8a9b08b65c7ac2cd9754a8f8bcb0c199b30b15e76913b58f54f6e3438","sha256:8577f57015088644227c88d1bfc432e758cb735430842cf7baaa97891154f3dc"],"state_sha256":"8838a26ba4ee8ca74c3220b8a6d6ad9f99e4b86c71d25d28b58f26734bbd8505"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V8WXZuYs66pUtF33G2fPzP/ZqhFAvowQmfdfSrfH3x5jVy+Q8upFRRl1gj+4MG+ji4GyaKeeZ7f17fGROA05BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:34:53.398583Z","bundle_sha256":"205ad7b567da0b50ee6aa9628210df96440199d14b46d299b9006114e933d08e"}}