{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:P2O55LX3FO67F3T6IGOUSZMQHI","short_pith_number":"pith:P2O55LX3","canonical_record":{"source":{"id":"2305.02863","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-05-04T14:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"147ba75e208aa9dff0b7d4158dbcfbe60428cd8c9ba592119007debb2a4675f0","abstract_canon_sha256":"38203dafc26f2bc49a1e15f53fef7e4abcbbe3d82f61bdf2522c7e6dbadce2ce"},"schema_version":"1.0"},"canonical_sha256":"7e9ddeaefb2bbdf2ee7e419d4965903a0093caf3f5382da5550e68040537d875","source":{"kind":"arxiv","id":"2305.02863","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02863","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02863v3","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02863","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"P2O55LX3FO67","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_16","alias_value":"P2O55LX3FO67F3T6","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_8","alias_value":"P2O55LX3","created_at":"2026-07-05T06:39:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:P2O55LX3FO67F3T6IGOUSZMQHI","target":"record","payload":{"canonical_record":{"source":{"id":"2305.02863","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-05-04T14:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"147ba75e208aa9dff0b7d4158dbcfbe60428cd8c9ba592119007debb2a4675f0","abstract_canon_sha256":"38203dafc26f2bc49a1e15f53fef7e4abcbbe3d82f61bdf2522c7e6dbadce2ce"},"schema_version":"1.0"},"canonical_sha256":"7e9ddeaefb2bbdf2ee7e419d4965903a0093caf3f5382da5550e68040537d875","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:39:53.417508Z","signature_b64":"5opFLWsWadWzNkabh0cwNnoyOndQ+MPR6Y3O8UpujH3aOuHDYMDOUPn+N3zUfXF5EmggIC8LxVRtlrin2AywDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e9ddeaefb2bbdf2ee7e419d4965903a0093caf3f5382da5550e68040537d875","last_reissued_at":"2026-07-05T06:39:53.417074Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:39:53.417074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.02863","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HGoH1sISPWsJsc9FKMsY+HSx6janYfAys1XhfQAF6gqfP9Q40IpRznrNgR+96NdTQKvyAxkXK6bX7LtDt3+cDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T10:19:01.589760Z"},"content_sha256":"496a212947eb5c9e3bcf5ea31935a6bb248f00dd55afafd7cb7cd235453cd0a3","schema_version":"1.0","event_id":"sha256:496a212947eb5c9e3bcf5ea31935a6bb248f00dd55afafd7cb7cd235453cd0a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:P2O55LX3FO67F3T6IGOUSZMQHI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Untying the growth index to relieve the $\\sigma_8$ discomfort","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Ziad Sakr","submitted_at":"2023-05-04T14:21:48Z","abstract_excerpt":"The matter fluctuation parameter $\\sigma_8$ is, by model construction, degenerate with the growth index $\\gamma$. Here, we study the effect on the cosmological parameter constraints by treating each independently from one another, considering $\\sigma_8$ as a free and non-derived parameter along with a free $\\gamma$. We then try to constrain all parameters using three probes that span from deep to local redshifts, namely the CMB spectrum, the growth measurements from redshift space distortions and the galaxy cluster counts. We also aim to assess the impact of this relaxation on the $\\sigma_8$ t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02863","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.02863/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y1+Rs6grS9oEi2fGR+6Vp2lysdOFpTeuReu2RVr5rHWSZSoG+Lw0xtVK5cvEYEFoDSTaxC4Hy1S2z9ZeSHsKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T10:19:01.590254Z"},"content_sha256":"6b68709531332b26ca9038df13d3b727d9b8dc8cbff70fcf5ef898d4b4d1be90","schema_version":"1.0","event_id":"sha256:6b68709531332b26ca9038df13d3b727d9b8dc8cbff70fcf5ef898d4b4d1be90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P2O55LX3FO67F3T6IGOUSZMQHI/bundle.json","state_url":"https://pith.science/pith/P2O55LX3FO67F3T6IGOUSZMQHI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P2O55LX3FO67F3T6IGOUSZMQHI/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":"2026-08-22T10:19:01Z","links":{"resolver":"https://pith.science/pith/P2O55LX3FO67F3T6IGOUSZMQHI","bundle":"https://pith.science/pith/P2O55LX3FO67F3T6IGOUSZMQHI/bundle.json","state":"https://pith.science/pith/P2O55LX3FO67F3T6IGOUSZMQHI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P2O55LX3FO67F3T6IGOUSZMQHI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:P2O55LX3FO67F3T6IGOUSZMQHI","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":"38203dafc26f2bc49a1e15f53fef7e4abcbbe3d82f61bdf2522c7e6dbadce2ce","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-05-04T14:21:48Z","title_canon_sha256":"147ba75e208aa9dff0b7d4158dbcfbe60428cd8c9ba592119007debb2a4675f0"},"schema_version":"1.0","source":{"id":"2305.02863","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02863","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02863v3","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02863","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"P2O55LX3FO67","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_16","alias_value":"P2O55LX3FO67F3T6","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_8","alias_value":"P2O55LX3","created_at":"2026-07-05T06:39:53Z"}],"graph_snapshots":[{"event_id":"sha256:6b68709531332b26ca9038df13d3b727d9b8dc8cbff70fcf5ef898d4b4d1be90","target":"graph","created_at":"2026-07-05T06:39:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.02863/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The matter fluctuation parameter $\\sigma_8$ is, by model construction, degenerate with the growth index $\\gamma$. Here, we study the effect on the cosmological parameter constraints by treating each independently from one another, considering $\\sigma_8$ as a free and non-derived parameter along with a free $\\gamma$. We then try to constrain all parameters using three probes that span from deep to local redshifts, namely the CMB spectrum, the growth measurements from redshift space distortions and the galaxy cluster counts. We also aim to assess the impact of this relaxation on the $\\sigma_8$ t","authors_text":"Ziad Sakr","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-05-04T14:21:48Z","title":"Untying the growth index to relieve the $\\sigma_8$ discomfort"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02863","kind":"arxiv","version":3},"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":"sha256:496a212947eb5c9e3bcf5ea31935a6bb248f00dd55afafd7cb7cd235453cd0a3","target":"record","created_at":"2026-07-05T06:39:53Z","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":"38203dafc26f2bc49a1e15f53fef7e4abcbbe3d82f61bdf2522c7e6dbadce2ce","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-05-04T14:21:48Z","title_canon_sha256":"147ba75e208aa9dff0b7d4158dbcfbe60428cd8c9ba592119007debb2a4675f0"},"schema_version":"1.0","source":{"id":"2305.02863","kind":"arxiv","version":3}},"canonical_sha256":"7e9ddeaefb2bbdf2ee7e419d4965903a0093caf3f5382da5550e68040537d875","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e9ddeaefb2bbdf2ee7e419d4965903a0093caf3f5382da5550e68040537d875","first_computed_at":"2026-07-05T06:39:53.417074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:39:53.417074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5opFLWsWadWzNkabh0cwNnoyOndQ+MPR6Y3O8UpujH3aOuHDYMDOUPn+N3zUfXF5EmggIC8LxVRtlrin2AywDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:39:53.417508Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.02863","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:496a212947eb5c9e3bcf5ea31935a6bb248f00dd55afafd7cb7cd235453cd0a3","sha256:6b68709531332b26ca9038df13d3b727d9b8dc8cbff70fcf5ef898d4b4d1be90"],"state_sha256":"967d383ab1bac2b584e34ac19ed2641b4f46979ed9bcd106f6f65368d01888c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/lhCXQ+jycQN4G/GNEks3sBVbr/tVXU2kZSQQimsceFFZx5eKiqp2nRCQpxiwvNy8rcII+7kFGN4QWUGJkkAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T10:19:01.594860Z","bundle_sha256":"1089efadfb1c4a66f8b8de1f715c4871f126f04fb714bf316f1a6921f4d9fa91"}}