s stringlengths 1 39 | o stringclasses 996
values | p stringlengths 7 77 | confidence float64 0.4 1 | predicate_class stringclasses 2
values | community int64 0 14 ⌀ | equation_name stringlengths 14 73 ⌀ | equation_latex stringlengths 5 217 ⌀ | equation_sympy stringclasses 617
values | equation_form stringclasses 472
values | variables stringlengths 2 85 ⌀ | domain stringclasses 119
values | scm_name stringclasses 165
values | source stringlengths 9 50 ⌀ | extraction_method stringclasses 8
values |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
r | f | urn:hailstone:astronomy:structural_equation[aad4d7911c5c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.10699v1.eq_1121 | ω_{\rm eff}=-1 | arxiv_extracted | ["e", "f", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.10699v1 | cross_domain_amplification | |
V | c | urn:hailstone:astronomy:structural_equation[d6e76945d10a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08943v1.eq_1122 | V(φ) = Λ_{c}^{4+2/3} φ^{-2/3} | arxiv_extracted | ["V", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08943v1 | cross_domain_amplification | |
c | m | urn:hailstone:astronomy:structural_equation[048c9f408e2f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08943v1.eq_1123 | Λ_{c} = 43.93 \pm 0.13 | arxiv_extracted | ["p", "c", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08943v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[de89a9309d9e] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08943v1.eq_1124 | Δ\mathrm{DIC} = -6.77 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08943v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[eccf1f283410] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08943v1.eq_1125 | Δ\mathrm{AIC} = -8.97 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08943v1 | cross_domain_amplification | |
l | m | urn:hailstone:astronomy:structural_equation[9610b5df2c6f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08524v2.eq_1126 | \log( M / (h^{-1} \mathrm{M}_\odot)) = 16.4 \pm 0.1 | arxiv_extracted | ["g", "M", "m", "h", "o", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08524v2 | cross_domain_amplification | |
d_L | z | urn:hailstone:astronomy:structural_equation[a02e27b1070d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08505v2.eq_1127 | d_L(z)=c\,H_0^{-1}z(1+z)10^{bz/5} | arxiv_extracted | ["H_0", "c", "d_L", "z"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08505v2 | cross_domain_amplification | |
D | r | urn:hailstone:astronomy:structural_equation[4d7a512a4257] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08103v1.eq_1128 | D_{\rm V}/r_{\rm d}(z_{\rm eff} = 1.92) = 30.3 \pm 0.9 | arxiv_extracted | ["V", "D", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08103v1 | cross_domain_amplification | |
D | r | urn:hailstone:astronomy:structural_equation[fa53011b786a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.08103v1.eq_1129 | D_{\rm V}/r_{\rm d}(z_{\rm eff} = 1.47) = 24.6 \pm 1.0 | arxiv_extracted | ["V", "D", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.08103v1 | cross_domain_amplification | |
m | i | urn:hailstone:astronomy:structural_equation[676f090cea96] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.07924v1.eq_1130 | m_{\rm{p}} = 8.1 \times 10^{7}\,h^{-1}\,M_{\odot} | arxiv_extracted | ["t", "m", "i", "p", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.07924v1 | cross_domain_amplification | |
M | n | urn:hailstone:astronomy:structural_equation[18cd26217fe5] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.07924v1.eq_1131 | M_{\rm min} = 3.2 \times 10^{9} | arxiv_extracted | ["M", "m", "i", "r", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.07924v1 | cross_domain_amplification | |
s | t | urn:hailstone:astronomy:structural_equation[f11145bd6bad] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.07799v1.eq_1132 | \sint = 0.19^{+0.13}_{-0.11} | arxiv_extracted | ["s", "n", "t", "i"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.07799v1 | cross_domain_amplification | |
m | r | urn:hailstone:astronomy:structural_equation[a65b9f372e51] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.07345v2.eq_1133 | measurement at Redshift = 0.12 with DESI Data Release 1 The Hubble parameter ( | arxiv_extracted | ["e", "a", "m", "u", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.07345v2 | cross_domain_amplification | |
H | m | urn:hailstone:astronomy:structural_equation[11c81bcaa0d9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.07345v2.eq_1134 | H(z=0.12)=71.33 \pm 4.20~{\rm km~s^{-1}~Mpc^{-1}} | arxiv_extracted | ["z", "m", "H", "p", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.07345v2 | cross_domain_amplification | |
p | m | urn:hailstone:astronomy:structural_equation[d213c42d3c27] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.06438v1.eq_1135 | ω_{0} = -0.73 \pm 0.3 | arxiv_extracted | ["p", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.06438v1 | cross_domain_amplification | |
b_0 | T | urn:hailstone:astronomy:structural_equation[f531c12cbd2b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.06259v1.eq_1136 | b_0(T) = αT^2 | arxiv_extracted | ["b_0", "T"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.06259v1 | cross_domain_amplification | |
v | r | urn:hailstone:astronomy:structural_equation[e95a7c5a9bcc] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.06011v1.eq_1137 | v_{\mathrm{los}} = 700 | arxiv_extracted | ["a", "t", "m", "h", "r", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.06011v1 | cross_domain_amplification | |
d | r | urn:hailstone:astronomy:structural_equation[0998511c764b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.06011v1.eq_1138 | d_{\mathrm{proj}} = 155 | arxiv_extracted | ["a", "t", "m", "h", "r", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.06011v1 | cross_domain_amplification | |
r | r | urn:hailstone:astronomy:structural_equation[4ce23438cbb8] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.05218v2.eq_1139 | ρ_{\rm vac}=ρ_{\rm vac}(H, \dot{H},\ddot{H},\dots) | arxiv_extracted | ["a", "m", "r", "c", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.05218v2 | cross_domain_amplification | |
s | n | urn:hailstone:astronomy:structural_equation[1b6505e89b72] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.04780v1.eq_1140 | s_{\rm min}=20\,h^{-1}\,{\rm Mpc} | arxiv_extracted | ["m", "i", "r", "s", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.04780v1 | cross_domain_amplification | |
s | n | urn:hailstone:astronomy:structural_equation[bc3b5e843eab] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.04780v1.eq_1141 | s_{\rm min}=30\,h^{-1}\,{\rm Mpc} | arxiv_extracted | ["m", "i", "r", "s", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.04780v1 | cross_domain_amplification | |
s | n | urn:hailstone:astronomy:structural_equation[1b6505e89b72] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.04780v1.eq_1142 | s_{\rm min}=20\,h^{-1}\,{\rm Mpc} | arxiv_extracted | ["m", "i", "r", "s", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.04780v1 | cross_domain_amplification | |
s | n | urn:hailstone:astronomy:structural_equation[9a90d1a09cef] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.04780v1.eq_1143 | s_{\rm min}=25\,h^{-1}\,{\rm Mpc} | arxiv_extracted | ["m", "i", "r", "s", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.04780v1 | cross_domain_amplification | |
H | r | urn:hailstone:astronomy:structural_equation[dde316588736] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.03028v1.eq_1144 | H_ 0 = 65.2^{ + 1.8}_{ - 2.2} \ \mathrm{km} \cdot \mathrm{s}^{ -1 } \cdot \mathrm{Mpc}^{ -1 } | arxiv_extracted | ["a", "t", "m", "H", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.03028v1 | cross_domain_amplification | |
H | t | urn:hailstone:astronomy:structural_equation[e3769bd77e54] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.03028v1.eq_1145 | H_ 0 = 64.0 \pm 2.1 \ \mathrm{km} \cdot \mathrm{s}^{ -1 } \cdot \mathrm{Mpc}^{ -1 } | arxiv_extracted | ["a", "t", "m", "H", "p"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.03028v1 | cross_domain_amplification | |
w | m | urn:hailstone:astronomy:structural_equation[6d3dcc3b9792] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.03028v1.eq_1146 | w_ 0 = -0.919 \pm 0.038 | arxiv_extracted | ["m", "p", "w"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.03028v1 | cross_domain_amplification | |
w | r | urn:hailstone:astronomy:structural_equation[81b971f93390] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.03028v1.eq_1147 | w_{ \mathrm{a}} = -0.37 \pm 0.12 | arxiv_extracted | ["w", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.03028v1 | cross_domain_amplification | |
w | m | urn:hailstone:astronomy:structural_equation[c44c0d9b29fd] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.03028v1.eq_1148 | w_ 0 = -0.960 \pm 0.074 | arxiv_extracted | ["m", "p", "w"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.03028v1 | cross_domain_amplification | |
w | r | urn:hailstone:astronomy:structural_equation[249d2b9cdaa9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.03028v1.eq_1149 | w_{ \mathrm{a}} = -0.15^{ +0.28}_{ -0.25} | arxiv_extracted | ["w", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.03028v1 | cross_domain_amplification | |
E | V | urn:hailstone:astronomy:structural_equation[9a80b5cd8997] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.02480v1.eq_1150 | E(B-V) = 0.087 | arxiv_extracted | ["V", "E", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.02480v1 | cross_domain_amplification | |
w | r | urn:hailstone:astronomy:structural_equation[efc1d5c30ff9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2601.01340v1.eq_1151 | w_{\mathrm{dm}} = w_2 a^2 | arxiv_extracted | ["w", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2601.01340v1 | cross_domain_amplification | |
r | c | urn:hailstone:astronomy:structural_equation[43c2b692dce6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.23008v2.eq_1152 | ρ_{\rm DM} = μΦ_b^2 / c^4 | arxiv_extracted | ["D", "M", "m", "r", "b", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.23008v2 | cross_domain_amplification | |
n | r | urn:hailstone:astronomy:structural_equation[01536ae92e27] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.23008v2.eq_1153 | , \[ \nabla^2Φ_{\rm tot} = 4πG\,ρ_b /c^2 + 4πG\,μ\,Φ_b^2 / c^6. \] Assuming that | arxiv_extracted | ["a", "r", "n", "b", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.23008v2 | cross_domain_amplification | |
a | F | urn:hailstone:astronomy:structural_equation[f4b342d70b90] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.21390v2.eq_1154 | at SNR = 10. For domain adaptation to new detector noise profiles, the pretrained model converges up to | arxiv_extracted | ["a", "F", "t", "S", "R", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.21390v2 | cross_domain_amplification | |
f | s | urn:hailstone:astronomy:structural_equation[052965dec64e] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.21390v2.eq_1155 | for mass parameters at SNR = 10 compared to | arxiv_extracted | ["f", "a", "m", "o", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.21390v2 | cross_domain_amplification | |
l | o | urn:hailstone:astronomy:structural_equation[27e2b0653fcf] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.19792v1.eq_1156 | \log_{10}(M_*/M_{\odot})=11.88\pm0.03 | arxiv_extracted | ["M", "l", "g_{10}", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.19792v1 | cross_domain_amplification | |
l | o | urn:hailstone:astronomy:structural_equation[0e0aa6ec186c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.19792v1.eq_1157 | \log_{10}(M_*/M_{\odot})=11.49\pm0.06 | arxiv_extracted | ["M", "l", "g_{10}", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.19792v1 | cross_domain_amplification | |
B | m | urn:hailstone:astronomy:structural_equation[10f0650201d2] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.19783v2.eq_1158 | B - V = -0.27 \pm 0.06 | arxiv_extracted | ["V", "p", "m", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.19783v2 | cross_domain_amplification | |
m_{15} | m | urn:hailstone:astronomy:structural_equation[de868949f5ad] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.19783v2.eq_1159 | Δm_{15}(B) = 1.55 \pm 0.15 | arxiv_extracted | ["p", "m_{15}", "m", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.19783v2 | cross_domain_amplification | |
z | f | urn:hailstone:astronomy:structural_equation[2d67975b339a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.19474v1.eq_1160 | z_{\rm eff}=1.59 | arxiv_extracted | ["e", "f", "z", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.19474v1 | cross_domain_amplification | |
M | i | urn:hailstone:astronomy:structural_equation[f6f8919ac606] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.18935v1.eq_1161 | M_{\rm 500c} = 5.4 \times 10^{14} M_{\odot} | arxiv_extracted | ["t", "M", "m", "i", "r", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.18935v1 | cross_domain_amplification | |
f | r | urn:hailstone:astronomy:structural_equation[37b6d14d9988] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.17865v2.eq_1162 | f_{\mathrm{NL}} = 2^{+28}_{-34} | arxiv_extracted | ["f", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.17865v2 | cross_domain_amplification | |
f | r | urn:hailstone:astronomy:structural_equation[0a3525618f58] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.17865v2.eq_1163 | f_{\mathrm{NL}} = 6^{+20}_{-24} | arxiv_extracted | ["f", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.17865v2 | cross_domain_amplification | |
f | r | urn:hailstone:astronomy:structural_equation[13c36918fff8] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.17865v2.eq_1164 | f_\mathrm{NL}=19^{+25}_{-31} | arxiv_extracted | ["f", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.17865v2 | cross_domain_amplification | |
t | r | urn:hailstone:astronomy:structural_equation[54d08bb3c496] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.17744v1.eq_1165 | \tildeΔ=0.12216^{+0.26193}_{-0.29243}~(68\%{\rm CL}) | arxiv_extracted | ["e", "t", "i", "r", "d", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.17744v1 | cross_domain_amplification | |
w_0 | w_a | urn:hailstone:astronomy:structural_equation[0bf8a8a9ee2b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.17684v2.eq_1166 | w_0=-0.76 \pm 0.06, \, w_a=-0.77^{+0.23}_{-0.20} | arxiv_extracted | ["m", "p", "w_0", "w_a"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.17684v2 | cross_domain_amplification | |
w_0 | t | urn:hailstone:astronomy:structural_equation[1866d8e5a749] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.17684v2.eq_1167 | w_0=-0.79^{+0.05}_{-0.06}, \, w_a=-0.56^{+0.24}_{-0.15}, \, (A_\mathrm{ds}=9.8^{+2.8}_{-9.5} \, \mathrm{bn/GeV}) | arxiv_extracted | ["a", "t", "m", "w_a", "A", "w_0"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.17684v2 | cross_domain_amplification | |
f | M | urn:hailstone:astronomy:structural_equation[c238069e7a29] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.16987v1.eq_1168 | f_{\rm CDM} = 0.01 | arxiv_extracted | ["f", "D", "M", "m", "r", "C"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.16987v1 | cross_domain_amplification | |
f | r | urn:hailstone:astronomy:structural_equation[03925add524f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.16869v1.eq_1169 | f_{\mathrm{sky}} = 0.21 | arxiv_extracted | ["f", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.16869v1 | cross_domain_amplification | |
s | a | urn:hailstone:astronomy:structural_equation[66b31c1e16f6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.16781v1.eq_1170 | \sum m_ν=0.06~\mathrm{eV} | arxiv_extracted | ["a", "m", "u", "s", "m_\u03bd"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.16781v1 | cross_domain_amplification | |
w | r | urn:hailstone:astronomy:structural_equation[71bcf9446f01] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.16781v1.eq_1171 | w_\mathrm{DE}=-1 | arxiv_extracted | ["w", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.16781v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[7071dd2c6b2d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15962v1.eq_1172 | Ω_\mathrm{m} = 0.295 \pm 0.012 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15962v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[5a619a14f29c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15962v1.eq_1173 | Ω_\mathrm{m} = 0.303 \pm 0.010 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15962v1 | cross_domain_amplification | |
S_{8} | r | urn:hailstone:astronomy:structural_equation[38fc3b0e98ac] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15961v1.eq_1174 | S_{8}^{\mathrm{DESI\times HSC}}=0.787\pm0.020 | arxiv_extracted | ["a", "t", "m", "h", "r", "S_{8}"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15961v1 | cross_domain_amplification | |
S_{8} | r | urn:hailstone:astronomy:structural_equation[261a255fa732] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15961v1.eq_1175 | S_{8}^{\mathrm{DESI\times DES}}=0.791\pm0.016 | arxiv_extracted | ["a", "t", "m", "h", "r", "S_{8}"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15961v1 | cross_domain_amplification | |
S_{8} | r | urn:hailstone:astronomy:structural_equation[2d4c5b7a1fbf] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15961v1.eq_1176 | S_{8}^{\mathrm{DESI\times KiDS}}=0.771\pm0.017 | arxiv_extracted | ["a", "t", "m", "h", "r", "S_{8}"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15961v1 | cross_domain_amplification | |
S_8 | r | urn:hailstone:astronomy:structural_equation[f2ab6d182b3c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15960v3.eq_1177 | S_8 = σ_8 \sqrt{Ω_{\rm m}/0.3} = 0.786^{+0.022}_{-0.019} | arxiv_extracted | ["q", "S_8", "t", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15960v3 | cross_domain_amplification | |
e | k | urn:hailstone:astronomy:structural_equation[65a041e26388] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.15833v1.eq_1178 | \ell_{\rm knee} = 50 | arxiv_extracted | ["e", "m", "l", "r", "k"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.15833v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[ed23897691ea] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14889v1.eq_1179 | Ω_{\rm m} = 0.324 \pm 0.012 | arxiv_extracted | ["p", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14889v1 | cross_domain_amplification | |
S_8 | v | urn:hailstone:astronomy:structural_equation[540548c93ca7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14889v1.eq_1180 | S_8 \equiv σ_8 \sqrt{Ω_{\rm m}/0.3} = 0.81 \pm 0.05 | arxiv_extracted | ["e", "q", "S_8", "i", "u", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14889v1 | cross_domain_amplification | |
L | a | urn:hailstone:astronomy:structural_equation[d906ed35e831] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14578v2.eq_1181 | Ω_{\Lambda1}\equiv\frac{Λ_1}{3H_0^2}=0.02\pm0.14 | arxiv_extracted | ["a", "m", "L", "b", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14578v2 | cross_domain_amplification | |
g | m | urn:hailstone:astronomy:structural_equation[35918f7e8867] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14578v2.eq_1182 | \gQ_0 = 2.2 \pm 2.7 | arxiv_extracted | ["p", "g", "m", "Q_0"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14578v2 | cross_domain_amplification | |
g | m | urn:hailstone:astronomy:structural_equation[cd227ba70373] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14578v2.eq_1183 | \gQ_1 = -6.2 \pm 7.6 | arxiv_extracted | ["Q_1", "p", "g", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14578v2 | cross_domain_amplification | |
g | m | urn:hailstone:astronomy:structural_equation[f4cae4046092] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14578v2.eq_1184 | \gQ_0 = 0.18 \pm 0.7 | arxiv_extracted | ["p", "g", "m", "Q_0"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14578v2 | cross_domain_amplification | |
M | t | urn:hailstone:astronomy:structural_equation[e6b57c881661] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.14066v2.eq_1185 | M_{\rm BH}=5\times10^7\,M_\odot | arxiv_extracted | ["B", "t", "M", "H", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.14066v2 | cross_domain_amplification | |
m | D | urn:hailstone:astronomy:structural_equation[708dd4202b62] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.13815v1.eq_1186 | m_\text{DM}=O(10) | arxiv_extracted | ["e", "D", "t", "m", "x"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.13815v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[bb1b85e4e582] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.12697v1.eq_1187 | Ω_{\rm m}=0.2434\pm 0.0079 | arxiv_extracted | ["p", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.12697v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[ace9e6d492b7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.11639v1.eq_1188 | δ_{\mathrm{DE}}=θ_{\mathrm{DE}}=0 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.11639v1 | cross_domain_amplification | |
h | M | urn:hailstone:astronomy:structural_equation[d61513730060] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.11039v2.eq_1189 | Δ\hat{M}_*^2=0.32^{+0.07}_{-0.21} | arxiv_extracted | ["t", "M", "h", "a"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.11039v2 | cross_domain_amplification | |
h | m | urn:hailstone:astronomy:structural_equation[37df0f880c1c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.11039v2.eq_1190 | \hat{D}_{\rm kin} = 3.74^{+0.69}_{-1.92} | arxiv_extracted | ["D", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.11039v2 | cross_domain_amplification | |
i | r | urn:hailstone:astronomy:structural_equation[876a422ae5a9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.11039v2.eq_1191 | Δμ_{\infty,{\rm eff}}=0.066\pm0.023 | arxiv_extracted | ["f", "t", "y", "i", "r", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.11039v2 | cross_domain_amplification | |
M_{200 | m | urn:hailstone:astronomy:structural_equation[85e6e9df88be] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.11022v2.eq_1192 | M_{200\rm c}=1.6 \pm 0.3\times 10^{14}~M_{\odot} | arxiv_extracted | ["M_{200", "m", "p", "r", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.11022v2 | cross_domain_amplification | |
c_{200 | m | urn:hailstone:astronomy:structural_equation[fd9dc0b7964a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.11022v2.eq_1193 | c_{200 \rm c}=6.3 \pm 0.3 | arxiv_extracted | ["m", "c_{200", "p", "r", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.11022v2 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[ed4f41be0030] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1194 | β_{\rm UV}=(-0.040\pm0.022)M_{\rm UV}-2.88^{+0.43}_{-0.44} | arxiv_extracted | ["V", "m", "p", "r", "U"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
l | i | urn:hailstone:astronomy:structural_equation[43b4272ab17b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1195 | \log_{10}(ξ_{\rm ion, 0}/\rm Hz\,erg^{-1}) = -0.006^{+0.019}_{-0.017}~M_{\rm UV} + 25.05^{+0.39}_{-0.34} | arxiv_extracted | ["m", "o", "i", "r", "l", "g_{10}"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
l | t | urn:hailstone:astronomy:structural_equation[57d0707a2c54] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1196 | \log_{10}(\dot{n}_{\rm ion}/\rm s^{-1}Mpc^{-3})=50.31^{+0.07}_{-0.06} | arxiv_extracted | ["t", "o", "d", "l", "g_{10}"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
r | p | urn:hailstone:astronomy:structural_equation[f5f545ad111b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1197 | α_{\rm SFG}=-2.2\pm0.2 | arxiv_extracted | ["F", "G", "m", "S", "p", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[258c80a4896c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1198 | α_{\rm sm}=-1.7\pm0.2 | arxiv_extracted | ["s", "p", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
M | l | urn:hailstone:astronomy:structural_equation[49d77ee7b187] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1199 | M_{\rm UV, lim}=-13.5 | arxiv_extracted | ["V", "M", "m", "r", "U", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
C | I | urn:hailstone:astronomy:structural_equation[bf23bed3e187] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10839v1.eq_1200 | C_{\rm HII, rec}=6.2^{+4.1}_{-2.1} | arxiv_extracted | ["m", "H", "r", "C", "I"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10839v1 | cross_domain_amplification | |
M | m | urn:hailstone:astronomy:structural_equation[9b69d4f0416f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10811v3.eq_1201 | M_{\rm h} = (2.78 \pm 0.05)\times 10^{10}M_\odot | arxiv_extracted | ["M", "m", "h", "p", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10811v3 | cross_domain_amplification | |
N | r | urn:hailstone:astronomy:structural_equation[66f294526873] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10613v1.eq_1202 | N_\star = 51 | arxiv_extracted | ["a", "t", "r", "s", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10613v1 | cross_domain_amplification | |
N | r | urn:hailstone:astronomy:structural_equation[15c6310e2bd7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10613v1.eq_1203 | N_\star = 55 | arxiv_extracted | ["a", "t", "r", "s", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10613v1 | cross_domain_amplification | |
N | r | urn:hailstone:astronomy:structural_equation[e1f8a947e308] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10613v1.eq_1204 | N_\star=47.1 | arxiv_extracted | ["a", "t", "r", "s", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10613v1 | cross_domain_amplification | |
N | r | urn:hailstone:astronomy:structural_equation[c1885f8a67ab] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.10613v1.eq_1205 | N_\star=55.1 | arxiv_extracted | ["a", "t", "r", "s", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.10613v1 | cross_domain_amplification | |
w | i | urn:hailstone:astronomy:structural_equation[536add248e6c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.09744v3.eq_1206 | w_{\phi0}=-1 | arxiv_extracted | ["p", "w", "h", "i"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.09744v3 | cross_domain_amplification | |
w | i | urn:hailstone:astronomy:structural_equation[26786b9f40ed] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.09744v3.eq_1207 | w_{\phi0} = -1 | arxiv_extracted | ["p", "w", "h", "i"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.09744v3 | cross_domain_amplification | |
e | t | urn:hailstone:astronomy:structural_equation[de4924efae92] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.08908v2.eq_1208 | \ell_{\mathrm{max}}^T = 3500 | arxiv_extracted | ["e", "a", "t", "m", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.08908v2 | cross_domain_amplification | |
k | p | urn:hailstone:astronomy:structural_equation[ac52f3b82c7c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.08906v1.eq_1209 | k_\perp = 0.003 - 0.009 | arxiv_extracted | ["e", "p", "k", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.08906v1 | cross_domain_amplification | |
r | n | urn:hailstone:astronomy:structural_equation[8f3469f8fb97] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.08752v1.eq_1210 | Δχ^2_{\rm min}=-7.3 | arxiv_extracted | ["n", "m", "r", "i"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.08752v1 | cross_domain_amplification | |
m | r | urn:hailstone:astronomy:structural_equation[d57ba817e9db] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.07933v2.eq_1211 | m_\mathrm{WDM}=3 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.07933v2 | cross_domain_amplification | |
f | t | urn:hailstone:astronomy:structural_equation[8a136a624bbb] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.06568v1.eq_1212 | f_{\rm int}=10\% | arxiv_extracted | ["f", "t", "m", "i", "r", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.06568v1 | cross_domain_amplification | |
z | f | urn:hailstone:astronomy:structural_equation[12d151111f40] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.06568v1.eq_1213 | z_{\rm eff}=2.8 | arxiv_extracted | ["e", "f", "z", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.06568v1 | cross_domain_amplification | |
f | m | urn:hailstone:astronomy:structural_equation[656fbfcfcc4b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.05581v1.eq_1214 | fσ_8 = 0.463 \pm 0.052 | arxiv_extracted | ["f", "p", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.05581v1 | cross_domain_amplification | |
w | r | urn:hailstone:astronomy:structural_equation[81034abbe0c0] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.05548v2.eq_1215 | w_{\mathrm{de}}=-1 | arxiv_extracted | ["w", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.05548v2 | cross_domain_amplification | |
w | r | urn:hailstone:astronomy:structural_equation[40b41af6b19d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.05548v2.eq_1216 | w_{\mathrm{dm}}=0 | arxiv_extracted | ["w", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.05548v2 | cross_domain_amplification | |
f | c | urn:hailstone:astronomy:structural_equation[82a87d6cca54] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.04266v1.eq_1217 | f^{\rm loc}_{\rm NL}=-0.1\pm 7.4 | arxiv_extracted | ["f", "m", "o", "r", "c", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.04266v1 | cross_domain_amplification | |
f | u | urn:hailstone:astronomy:structural_equation[462f3435d70f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.04266v1.eq_1218 | f^{\rm equil}_{\rm NL}=719\pm 390 | arxiv_extracted | ["f", "e", "q", "m", "u", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.04266v1 | cross_domain_amplification | |
f | t | urn:hailstone:astronomy:structural_equation[3aad704010e7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.04266v1.eq_1219 | f^{\rm orth}_{\rm NL}=-200\pm 100 | arxiv_extracted | ["f", "t", "m", "o", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.04266v1 | cross_domain_amplification | |
f | u | urn:hailstone:astronomy:structural_equation[ff335a8dc1d9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2512.04266v1.eq_1220 | f^{\rm equil}_{\rm NL}=200\pm 230 | arxiv_extracted | ["f", "e", "q", "m", "u", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2512.04266v1 | cross_domain_amplification |
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