{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"d80fd4435d7283d769f3414537a6e0e047f587d623c51cf0c9aa52156de45857","created":"2026-10-03T07:18:02Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"a996506d42f2fe274c5c217d63ca787b45ffac02edcc2c2fcd6c4456ac34aa3a","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cosmo.structure-growth-neutrino-mass.growth-index","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"In general relativity the rate at which clumps grow follows directly from the expansion history. Measuring both separately tests whether gravity on cosmic scales is the same as in the solar system.","posed_since":"","precise":"Measure the growth index $\\gamma$ in $f(z) = \\Omega_m(z)^\\gamma$, where f = dln(delta)/dln(a), over $0 < z < 2$ from redshift-space distortions, peculiar velocities and lensing; general relativity with LCDM gives $\\gamma \\sim 0.55$. An answer is $\\gamma$ with uncertainty below 0.02 and a test of its redshift dependence.","problem_ref":null,"references":"","settled_by":"DESI and Euclid redshift-space distortions combined with Rubin weak lensing and peculiar-velocity surveys.","status_note":"","title":"Does the growth rate of structure follow general relativity?","topic_ref":"7f5d118cb8a64bd99639aa18f99daf7cb794d9366c6bec82eeea82eef99d0ccd"},"content_withheld":"false","files":[],"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"a8062ee43b366cac9337314a021c9897c481f5f4aaabaf9f58700dd9a485bc34","schema":"pubphys.attested/1"},"id_token":null,"id_token_withheld":"false","envelope":{"attested_hash":"b1bdd1a79a0c7f09cfb7fa15607fe40c71eb32448fd6fb0d60fff77c0e55fdb5","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"7ltHLK7SnqXaN-5GahPNteSl5JVm-bjz4lcUPhpGtmY-btraJEkheB94fATlQs5zn4UyjuDL3Fx5cwAAD3RCAQ"},"schema":"pubphys.envelope/1"},"ots":{"attested":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIsb3Rp5oMfwnPt_oVYH_kDHHrMkSP1vsNYP_3fA5V_bXwILHKqYr-xUk-OrV_M25ya7OS1cdo3oYsmEXSPWYt-N95CPEguFjTzwMJHN7j2qJXhNCgyE8DfSgA2bi07iaO6rv2Z_YI8CAd-pIVsMz7uRc5eet7ryZb9yt8qCxFCbQtbMIAt2UcWwjwIPGtGXm59tSwH_g9mfh_ZlMnY-G1nPfqOmTitCgMKJ6BCPEg1jvBTqwOtBGeGbVXata3aTRtrjPN-DC0opSAW-DHJ6sI8SAF5eMBGWO1mabrwjxfpZHItimXoFKdiOWqgXGCnWOmWwjxINhlLe16EssTUEGM1pKB9FuiktTblYR4FzH1x4_HO5AaCPAgD6eRIj3TtWjlNYTdIILcYC1zpLszFehp7FdwkdoTgWQI8SCDmR0G6GV1bT7GyRXBqEjvzcE3qRopJxP_SHiWmwBlpQjxIFf8EhaVa-ubjpYx3wEAcKGxkzfUQq6B-8jimpRd8IqnCPAgy6DmLQtIuWm-zrDRmaSy95vcFWsjvWyppQO7wIWrfC4I8SAQuuTPkAGyvS_wKMy9BtKvnki2puESdY2vXem8hT1uIQjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jYQ3WablSaV64Wfn7Pmby5WLyI-A0I8QRqwKw78AhITF7Tr3a1xACD3-MNLvkMjiwraHR0cHM6Ly9ib2IuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZ_AIfrBm5kAMH2cI8BAGKsbR52Yj2ZyRBj8fybyrCPEg15Kg4Ne2LGSKxM-WnEce5gVwiluZijYEWJ8P_lNnKQ4I8QRqwKw68AhHyujKJ6ONvACD3-MNLvkMji4taHR0cHM6Ly9hbGljZS5idGMuY2FsZW5kYXIub3BlbnRpbWVzdGFtcHMub3Jn"],"envelope":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIvMH6V4uhvcBvlv5XkxnP_08yqwWwscIjNzGgA1MQ0tXxILyuSUgu5Uf29xW8A7rMCZJScCzHKM74Yn1ytGz4TG9lCPAgjztzJyp242GLIc2fzuTF-TvJQW2aRqwKSPrQNdIUBk8I8SAgspuvQFoe0uNbJQ65tFwnM7wFyhZRaIJEeIfRKXhhKQjwILE9VPoerbMltRD1pn393lQzPQCh0yVrhEMbB3D8p5-KCPAgcPs1oj2yL0n9v3GCcaR6F_SWYyYHoaNGwUZUhpCitXYI8SDzV35XqW4jALpBavCvCAMXByIkYS2CMvO9WEzruebJJAjwIDpxN4mBvP5SxcHzZjcaGuM-qEeO9rGiVSPIhkLz2_IKCPAg3vYCGuwxM0MoCG7JymPF70Xp1bEbGB9qk7wqbXuLyYEI8CCnyvApWpXSVFEeuVGtAaM1DHngynmyhNGrDXAgENc__QjwIG_qk_muz-jg8UolhZs34aKKg3vvCTOQfEn-hyT2gbIDCPEgUZCxxJx-baWw4JFRfzCCtSjPn4ATBx_3FQi1O2Yo4-8I8SAQuuTPkAGyvS_wKMy9BtKvnki2puESdY2vXem8hT1uIQjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jYQ3WablSaV64Wfn7Pmby5WLyI-A0I8QRqwKw78AhITF7Tr3a1xACD3-MNLvkMjiwraHR0cHM6Ly9ib2IuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZ_AIfrBm5kAMH2cI8BAGKsbR52Yj2ZyRBj8fybyrCPEg15Kg4Ne2LGSKxM-WnEce5gVwiluZijYEWJ8P_lNnKQ4I8QRqwKw68AhHyujKJ6ONvACD3-MNLvkMji4taHR0cHM6Ly9hbGljZS5idGMuY2FsZW5kYXIub3BlbnRpbWVzdGFtcHMub3Jn"]},"log":{"leaf_index":"1279","tree_size":"2123","proof":["8045c3360da3a8bbbd3f6cee041011445f73ea1ed83c7e61450d4a7d1032f840","aec4eb02cc7e7d69a729a65a4c0bb35c8f8d21c532e30416000edb5d8dda65b0","bda92bdc4771c568c834ddd211552a8ec541938e02720ff9a0c7208f726b6735","b2f5ea40dad69c9f4d17ab973f876d6a1647a13dbbc21d3c86436a46ec375aeb","abcea0240e0c9e36dde7c52daedc96395f8b8c4308928eb77f87a87e322b6e23","da994ad71b730c3a00bd771ba080ba4bedc9bdac1f6141e812ffa60d015b6fa4","3c355446ac6248efc9b74a820dea63bde00a92aae47ee15eb8706f7a66a48af4","bf2ce230342632c6cd7efc086093fa79a23081cc176ca2c5b1fc7d7e4b6e0db0","52a4f6babf22d33518342a16424be6ca663e70c9dc9fa28b80fd392ab314d00b","46022fbfd43c5aec3acbe84cb58891547da533c0320c5435c86490a040251104","2b97406e15e4d451a5450b3b53b677749fe0fa759579146dbfa1544c1e61a0ed","addcf2e0ff7974e4aa99af5e30d409f90d9f4311a4d85f5baf3e125eeb45b4c1"],"checkpoint":"pubphys.com/log/v1\n2123\npXVcluz7BF4vgChQs6lShuU0386gCH0RxrC1sxyE3rI=\n\n— pubphys.com/log/v1 JFPwIOLzsUD22XoTVyTfk/FMVj/u3f3DxZk4V/Ws10KVSS+8WQSwhunQ//EAhyS9Td5CyM0E++85GMezmKd8240j9Q8=\n","promise":null},"orcid_key_evidence":[],"attesting":null}