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 | t | urn:hailstone:astronomy:structural_equation[22b279fb0809] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2511.01195v1.eq_1321 | σ_{\rm host} = 0.96\pm 0.03 | arxiv_extracted | ["t", "m", "h", "o", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2511.01195v1 | cross_domain_amplification | |
r | r | urn:hailstone:astronomy:structural_equation[84a1bd93b14a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2511.01195v1.eq_1322 | {\rm Med}({\rm DM_{host}})=\exp(μ_{\rm host})=153\pm 3~{\rm pc~cm^{-3}} | arxiv_extracted | ["e", "M", "m", "r", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2511.01195v1 | cross_domain_amplification | |
e | l | urn:hailstone:astronomy:structural_equation[c621989430a6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2511.00822v2.eq_1323 | \ell = 4 | arxiv_extracted | ["e", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2511.00822v2 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[34c452d4868d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.27227v2.eq_1324 | Ω_{\rm m} = 0.290^{+0.092}_{-0.068} | arxiv_extracted | ["m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.27227v2 | cross_domain_amplification | |
l | p | urn:hailstone:astronomy:structural_equation[cde71277fbb7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.27227v2.eq_1325 | \lg\barτ = -4.24 \pm 0.10 | arxiv_extracted | ["g", "a", "p", "r", "b", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.27227v2 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[98aa396dc3e0] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.26355v1.eq_1326 | Ω_\mathrm{K}=0.001\pm 0.038 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.26355v1 | cross_domain_amplification | |
b | z | urn:hailstone:astronomy:structural_equation[ff64cea7147b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.25829v1.eq_1327 | \bar{z} = \{5.481, 5.654, 5.831, 6.043\} | arxiv_extracted | ["b", "r", "a", "z"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.25829v1 | cross_domain_amplification | |
b | a | urn:hailstone:astronomy:structural_equation[ddf810306e10] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.25596v2.eq_1328 | \bar{Y_\mathrm{b}}=\bar{f}_\mathrm{b}/(Ω_\mathrm{b}/Ω_\mathrm{m}) | arxiv_extracted | ["a", "m", "r", "Y", "b"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.25596v2 | cross_domain_amplification | |
l | e | urn:hailstone:astronomy:structural_equation[c7edd0af150f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.23566v1.eq_1329 | \langle z \rangle = [0.414, 0.538, 0.846, 1.157] | arxiv_extracted | ["e", "g", "a", "n", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.23566v1 | cross_domain_amplification | |
l | e | urn:hailstone:astronomy:structural_equation[97bc71dc5213] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.23566v1.eq_1330 | σ_{\langle z\rangle} = [0.012, 0.008,0.009, 0.024] | arxiv_extracted | ["e", "g", "a", "n", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.23566v1 | cross_domain_amplification | |
w_{0} | m | urn:hailstone:astronomy:structural_equation[4f7baf054097] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.23105v2.eq_1331 | w_{0} = -0.867 \pm 0.060 | arxiv_extracted | ["m", "p", "w_{0}"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.23105v2 | cross_domain_amplification | |
R | r | urn:hailstone:astronomy:structural_equation[6ba83d2cffc1] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.24780v2.eq_1332 | R_{\mathrm{ETM}}=99.9999\% | arxiv_extracted | ["a", "t", "m", "h", "R", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.24780v2 | cross_domain_amplification | |
e | l_{inj} | urn:hailstone:astronomy:structural_equation[e2ec0addbd9a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.21918v1.eq_1333 | \ell_{inj}=2.2_{-1.0}^{+2.0} | arxiv_extracted | ["e", "l", "l_{inj}"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.21918v1 | cross_domain_amplification | |
e | R_{500} | urn:hailstone:astronomy:structural_equation[8333070b6a32] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.21918v1.eq_1334 | 0<\ell<R_{500}=1.4 | arxiv_extracted | ["e", "l", "R_{500}"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.21918v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[b0895cb43d3e] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.21918v1.eq_1335 | \mathcal{M}_{3D,500}=0.45_{-0.13}^{+0.18} | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.21918v1 | cross_domain_amplification | |
C | t | urn:hailstone:astronomy:structural_equation[a3931d3ac24d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.21633v2.eq_1336 | C_{\rm int}=1.0 | arxiv_extracted | ["t", "m", "i", "r", "n", "C"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.21633v2 | cross_domain_amplification | |
C | t | urn:hailstone:astronomy:structural_equation[a3931d3ac24d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.21633v2.eq_1337 | C_{\rm int}=1.0 | arxiv_extracted | ["t", "m", "i", "r", "n", "C"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.21633v2 | cross_domain_amplification | |
Q | t | urn:hailstone:astronomy:structural_equation[c858d689e51b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.20896v1.eq_1338 | Q_{\rm sat}{=}0.05{\pm}0.14 | arxiv_extracted | ["Q", "a", "t", "m", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.20896v1 | cross_domain_amplification | |
e | m | urn:hailstone:astronomy:structural_equation[da42f0e2f637] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.20821v2.eq_1339 | \ell_{\rm max}^{\rm NCDM}=40 | arxiv_extracted | ["e", "m", "l", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.20821v2 | cross_domain_amplification | |
d_L} | d_L | urn:hailstone:astronomy:structural_equation[35d9eca4a4dd] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.19931v1.eq_1340 | σ_{d_L}=0.1\,d_L | arxiv_extracted | ["d_L}", "d_L"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.19931v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[8214d1a25650] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.18142v1.eq_1341 | σ_{\rm{eff}}/m = 20 - 40~\text{cm}^{2}\text{g}^{-1} | arxiv_extracted | ["e", "f", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.18142v1 | cross_domain_amplification | |
M_{mol} | s | urn:hailstone:astronomy:structural_equation[63df2d16c602] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.17804v1.eq_1342 | M_{mol}=2.9^{+0.4}_{-0.3}\times10^{11} | arxiv_extracted | ["e", "t", "M_{mol}", "m", "i", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.17804v1 | cross_domain_amplification | |
C | O | urn:hailstone:astronomy:structural_equation[9211fcb36ebb] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.17804v1.eq_1343 | α_{CO}=2.8^{+0.5}_{-0.3} | arxiv_extracted | ["O", "C"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.17804v1 | cross_domain_amplification | |
M_{dust} | s | urn:hailstone:astronomy:structural_equation[ddaaf39c3a76] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.17804v1.eq_1344 | M_{dust}=5.7^{+0.8}_{-0.6}\times 10^{9} | arxiv_extracted | ["e", "t", "m", "i", "s", "M_{dust}"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.17804v1 | cross_domain_amplification | |
S_8 | v | urn:hailstone:astronomy:structural_equation[049359997fdc] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.17796v1.eq_1345 | S_8\equivσ_8\sqrt{Ω_m/0.3}=0.769 \pm 0.020 | arxiv_extracted | ["e", "q", "S_8", "i", "u", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.17796v1 | cross_domain_amplification | |
s | a | urn:hailstone:astronomy:structural_equation[893fc8a6ac1b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.17761v2.eq_1346 | β_s^{\rm plane} = -3.05 \pm 0.01 | arxiv_extracted | ["a", "m", "p", "r", "s", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.17761v2 | cross_domain_amplification | |
s | g | urn:hailstone:astronomy:structural_equation[70c0710256eb] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.17761v2.eq_1347 | β_s^{\rm high\text{-}lat} = -3.13 \pm 0.02 | arxiv_extracted | ["g", "m", "h", "i", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.17761v2 | cross_domain_amplification | |
M_{200} | e | urn:hailstone:astronomy:structural_equation[9ebf3eab5ac6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.16291v2.eq_1348 | M_{200}^W=3.13_{-1.00}^{+1.53}\times10^{14}h_{70}^{-1}M_\odot | arxiv_extracted | ["e", "W", "t", "m", "i", "M_{200}"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.16291v2 | cross_domain_amplification | |
M_{200} | e | urn:hailstone:astronomy:structural_equation[0606bd7a35e7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.16291v2.eq_1349 | M_{200}^E=6.41_{-1.97}^{+2.92}\times10^{14}h_{70}^{-1}M_\odot | arxiv_extracted | ["e", "t", "m", "i", "M_{200}", "E"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.16291v2 | cross_domain_amplification | |
E | H_0 | urn:hailstone:astronomy:structural_equation[11d4c9968811] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.16120v1.eq_1350 | E(z) = H(z)/H_0 | arxiv_extracted | ["H_0", "E", "H", "z"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.16120v1 | cross_domain_amplification | |
r | s | urn:hailstone:astronomy:structural_equation[fc6430471cda] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.15835v2.eq_1351 | r_{\rm s}=131.1^{+6.8}_{-6.9} | arxiv_extracted | ["s", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.15835v2 | cross_domain_amplification | |
s | m_ν | urn:hailstone:astronomy:structural_equation[ac196c02cfe3] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.15835v2.eq_1352 | \sum m_ν= 0.69^{+0.33}_{-0.47} | arxiv_extracted | ["s", "u", "m", "m_\u03bd"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.15835v2 | cross_domain_amplification | |
z | f | urn:hailstone:astronomy:structural_equation[544734f35f31] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.15650v1.eq_1353 | z_{\rm eff} = 1.725 | arxiv_extracted | ["e", "f", "z", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.15650v1 | cross_domain_amplification | |
z | f | urn:hailstone:astronomy:structural_equation[ba4ff85571fa] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.15650v1.eq_1354 | z_{\rm eff}=1.725 | arxiv_extracted | ["e", "f", "z", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.15650v1 | cross_domain_amplification | |
r | c | urn:hailstone:astronomy:structural_equation[14012f7e5f41] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.15650v1.eq_1355 | θ_{\rm BAO}=1.928^{\circ}\pm0.094^{\circ} | arxiv_extracted | ["B", "O", "m", "A", "r", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.15650v1 | cross_domain_amplification | |
l | B | urn:hailstone:astronomy:structural_equation[42ff789a8c22] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.14941v1.eq_1356 | \log B = 5.52 | arxiv_extracted | ["g", "l", "B", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.14941v1 | cross_domain_amplification | |
l | d | urn:hailstone:astronomy:structural_equation[95314970357d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.14390v2.eq_1357 | \ln \boldsymbol{\mathcal B}= 5.04~(8.53) | arxiv_extracted | ["o", "n", "b", "d", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.14390v2 | cross_domain_amplification | |
r | p | urn:hailstone:astronomy:structural_equation[51508e6b5e49] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.14135v1.eq_1358 | θ_{\rm ap} = 3.3' | arxiv_extracted | ["p", "m", "r", "a"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.14135v1 | cross_domain_amplification | |
w | w_2 | urn:hailstone:astronomy:structural_equation[90885b872176] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.13436v1.eq_1359 | w_{\rm dm} = w_2 a^2 | arxiv_extracted | ["w", "w_2", "m", "r", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.13436v1 | cross_domain_amplification | |
l | e | urn:hailstone:astronomy:structural_equation[5aeef943f0ef] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12991v1.eq_1360 | \langle B_{\parallel} \rangle [μ{\rm G}] = 1.232\,{\rm RM}\,[{\rm rad\,m^{-2}}]/{\rm DM}\,[{\rm pc\,cm^{-3}}] | arxiv_extracted | ["e", "g", "a", "n", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12991v1 | cross_domain_amplification | |
S | m | urn:hailstone:astronomy:structural_equation[1a84b6a41e0c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1361 | α_{S}^{EE} = -3.1 \pm 0.3 | arxiv_extracted | ["p", "E", "m", "S"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
S | m | urn:hailstone:astronomy:structural_equation[e3ee47129bd7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1362 | α_{S}^{BB} = -3.1 \pm 0.4 | arxiv_extracted | ["p", "m", "S", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
S | m | urn:hailstone:astronomy:structural_equation[2f0935d065d2] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1363 | α_{S}^{EE} = -3.05 \pm 0.2 | arxiv_extracted | ["p", "E", "m", "S"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
S | m | urn:hailstone:astronomy:structural_equation[bd57afcceab7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1364 | α_{S}^{B} = -2.98 \pm 0.27 | arxiv_extracted | ["p", "m", "S", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
S | m | urn:hailstone:astronomy:structural_equation[4087977174af] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1365 | α_{S}^{EE} = -3.04 \pm 0.21 | arxiv_extracted | ["p", "E", "m", "S"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
S | m | urn:hailstone:astronomy:structural_equation[5b42369b8252] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1366 | α_{S}^{BB} = -3.00 \pm 0.34 | arxiv_extracted | ["p", "m", "S", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
A_{S} | m | urn:hailstone:astronomy:structural_equation[6276a54f952c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1367 | A_{S}^{EE} = 3.31 \pm 0.17 | arxiv_extracted | ["A_{S}", "p", "E", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
A_{S} | m | urn:hailstone:astronomy:structural_equation[fda358e19e84] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1368 | A_{S}^{BB} = 0.93 \pm 0.04 | arxiv_extracted | ["A_{S}", "p", "m", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
A_{S} | E | urn:hailstone:astronomy:structural_equation[dd5dc09c71cf] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.12860v2.eq_1369 | A_{S}^{BB}/A_{S}^{EE} = 0.28 \pm 0.08 | arxiv_extracted | ["A_{S}", "E", "B"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.12860v2 | cross_domain_amplification | |
b | r | urn:hailstone:astronomy:structural_equation[f414ec6e96dd] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.11427v2.eq_1370 | b_\mathrm{g} b_I \langle I \rangle \bar{F}_{\rm RSD} / \bar{F}^{\rm fid}_{\rm RSD}= (6.7 \pm 3.1) | arxiv_extracted | ["a", "t", "m", "h", "r", "b"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.11427v2 | cross_domain_amplification | |
b | z | urn:hailstone:astronomy:structural_equation[9b5fd2c1dfae] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.11427v2.eq_1371 | \bar z=2.1 | arxiv_extracted | ["b", "r", "a", "z"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.11427v2 | cross_domain_amplification | |
b | n | urn:hailstone:astronomy:structural_equation[23593ffcb034] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.11382v2.eq_1372 | \big\langle M_{\rm fit}/M_{\rm true}\big\rangle = 0.991 \pm 0.148 | arxiv_extracted | ["g", "a", "i", "n", "b", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.11382v2 | cross_domain_amplification | |
b | n | urn:hailstone:astronomy:structural_equation[7514dea62a69] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.11382v2.eq_1373 | \big\langle H_{0,\text{fit}}/H_{0,\text{True}} \big\rangle =1.01 \pm 0.14 | arxiv_extracted | ["g", "a", "i", "n", "b", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.11382v2 | cross_domain_amplification | |
r | t | urn:hailstone:astronomy:structural_equation[d25770a2f2ba] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07936v1.eq_1374 | {\rm DTG} = (5.1^{+3.0}_{-1.9})\times 10^{-4} | arxiv_extracted | ["D", "t", "G", "m", "r", "T"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07936v1 | cross_domain_amplification | |
r | t | urn:hailstone:astronomy:structural_equation[326b06f68375] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07936v1.eq_1375 | {\rm DTM} = (6.1^{+3.6}_{-2.3})\times 10^{-2} | arxiv_extracted | ["D", "t", "M", "m", "r", "T"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07936v1 | cross_domain_amplification | |
l | O | urn:hailstone:astronomy:structural_equation[0f6ed534d900] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07936v1.eq_1376 | 12+\log({\rm O/H}) = 8.36\pm 0.10 | arxiv_extracted | ["g", "O", "m", "o", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07936v1 | cross_domain_amplification | |
M | s | urn:hailstone:astronomy:structural_equation[0b5d2247ca15] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07936v1.eq_1377 | M_{\rm gas} = (2.8^{+0.2}_{-1.7})\times 10^{10}\,M_\odot | arxiv_extracted | ["g", "a", "M", "m", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07936v1 | cross_domain_amplification | |
J | r | urn:hailstone:astronomy:structural_equation[1e0a88101ee3] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07596v1.eq_1378 | J_{\mathrm{up}} = 6 | arxiv_extracted | ["a", "t", "m", "h", "r", "J"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07596v1 | cross_domain_amplification | |
m | t | urn:hailstone:astronomy:structural_equation[a833bd41fbc4] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07382v1.eq_1379 | m_{\rm 80}=(1.13 \pm 0.04)\times 10^6{M_\odot} | arxiv_extracted | ["t", "p", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07382v1 | cross_domain_amplification | |
k | n | urn:hailstone:astronomy:structural_equation[8ba493d08768] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07375v1.eq_1380 | k_{\rm min} = 0.04 h {\rm Mpc}^{-1} | arxiv_extracted | ["m", "i", "r", "n", "k"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07375v1 | cross_domain_amplification | |
k | x | urn:hailstone:astronomy:structural_equation[e912b48d61c1] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07375v1.eq_1381 | k_{\rm \max} = 0.47 h {\rm Mpc}^{-1} | arxiv_extracted | ["a", "m", "r", "k", "x"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07375v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[8c5abad34151] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07103v2.eq_1382 | \mathcal{L}(X, φ)= λX^αφ^β- V(φ) | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07103v2 | cross_domain_amplification | |
V | V_{0} | urn:hailstone:astronomy:structural_equation[895dcece751d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.07103v2.eq_1383 | V(φ) = V_{0}φ | arxiv_extracted | ["V", "V_{0}"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.07103v2 | cross_domain_amplification | |
S_8 | m | urn:hailstone:astronomy:structural_equation[7254914fc258] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.06114v1.eq_1384 | S_8 = σ_8(Ω_m/0.3)^{0.5} = 0.819 \pm 0.016 | arxiv_extracted | ["p", "m", "S_8"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.06114v1 | cross_domain_amplification | |
c | N | urn:hailstone:astronomy:structural_equation[1f03755857ad] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.05770v2.eq_1385 | {\cal N} = 60 | arxiv_extracted | ["N", "c", "l", "a"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.05770v2 | cross_domain_amplification | |
N | s | urn:hailstone:astronomy:structural_equation[04ca5ba5be7a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.05215v2.eq_1386 | N_{\text{side}}= 32 | arxiv_extracted | ["e", "t", "s", "N", "x"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.05215v2 | cross_domain_amplification | |
W_{0 | m | urn:hailstone:astronomy:structural_equation[13005a06c85a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.04998v1.eq_1387 | ΔW_{0,H-VI} = -0.13\pm0^{m}.02 | arxiv_extracted | ["V", "W_{0", "H", "m", "p", "I"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.04998v1 | cross_domain_amplification | |
z | r | urn:hailstone:astronomy:structural_equation[9e2e36be5a1c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.04179v3.eq_1388 | z_{\textrm{eff}} = 0.934 | arxiv_extracted | ["e", "z", "t", "r", "x"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.04179v3 | cross_domain_amplification | |
D_M | f | urn:hailstone:astronomy:structural_equation[615a22ada6b6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.04179v3.eq_1389 | D_M(z_{\rm eff} = 0.510)/r_d | arxiv_extracted | ["e", "f", "z", "m", "D_M", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.04179v3 | cross_domain_amplification | |
l | b | urn:hailstone:astronomy:structural_equation[5065d0313ea1] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.02510v2.eq_1390 | l = 295^\circ,\, b = 5^\circ | arxiv_extracted | ["i", "r", "b", "c", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.02510v2 | cross_domain_amplification | |
f | r | urn:hailstone:astronomy:structural_equation[d23c33347084] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.02247v1.eq_1391 | f_{\mathrm{sub}} = 0.05^{+0.08}_{-0.03} | arxiv_extracted | ["f", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.02247v1 | cross_domain_amplification | |
S_8 | v | urn:hailstone:astronomy:structural_equation[f130a9955b18] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.01122v1.eq_1392 | S_8\equiv σ_8 \sqrt{Ω_\mathrm{m}/0.3} =0.789_{-0.024}^{+0.020} | arxiv_extracted | ["e", "q", "S_8", "i", "u", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.01122v1 | cross_domain_amplification | |
r | D | urn:hailstone:astronomy:structural_equation[dda9b14d1ac4] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.00216v1.eq_1393 | σ_{\rm SD}=10^{-42} | arxiv_extracted | ["D", "m", "r", "S"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.00216v1 | cross_domain_amplification | |
d | i | urn:hailstone:astronomy:structural_equation[171cbbc66bb9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2510.00216v1.eq_1394 | \dot{M_*}=(1-3)\times10^{-3}\, M_\odot \,{\rm yr}^{-1} | arxiv_extracted | ["t", "M", "i", "o", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2510.00216v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[7582986b6b64] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.26611v1.eq_1395 | \left<t_f\right>=0.72_{-0.16}^{+0.14} | arxiv_extracted | ["e", "f", "t", "t_f", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.26611v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[f1320aaa7f34] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.26611v1.eq_1396 | \left<t_f\right>=1.26_{-0.11}^{+0.10} | arxiv_extracted | ["e", "f", "t", "t_f", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.26611v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[513b83f1eefd] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.26611v1.eq_1397 | \left<t_f\right>=0.71 \pm {0.19} | arxiv_extracted | ["e", "f", "t", "t_f", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.26611v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[4ea9580f184d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.26611v1.eq_1398 | \left<t_f\right> = 1.35_{-0.23}^{+0.21} | arxiv_extracted | ["e", "f", "t", "t_f", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.26611v1 | cross_domain_amplification | |
N | f | urn:hailstone:astronomy:structural_equation[8fb25cc7ee9c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25478v2.eq_1399 | N_{\rm eff} = 3.43 \pm 0.13 | arxiv_extracted | ["e", "f", "m", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25478v2 | cross_domain_amplification | |
N | f | urn:hailstone:astronomy:structural_equation[261ad3f2dc61] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25478v2.eq_1400 | N_{\rm eff}=3.50 | arxiv_extracted | ["e", "f", "m", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25478v2 | cross_domain_amplification | |
z | m | urn:hailstone:astronomy:structural_equation[24e3944aa327] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25366v1.eq_1401 | σ_{zp} = 0.00063 \pm 0.00032 | arxiv_extracted | ["p", "m", "z"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25366v1 | cross_domain_amplification | |
f | r | urn:hailstone:astronomy:structural_equation[6a5bd832e07d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25366v1.eq_1402 | f_{\mathrm{out}} = 0.02083 \pm 0.00027 | arxiv_extracted | ["f", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25366v1 | cross_domain_amplification | |
s | f | urn:hailstone:astronomy:structural_equation[0b1e8f110ded] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1403 | significance, and CO(J=2-1) emission in 10 of these galaxies. The CO(J=1-0) luminosities suggest apparent gas masses in the range | arxiv_extracted | ["f", "g", "i", "s", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
r_{21} | m | urn:hailstone:astronomy:structural_equation[cfc75a0ff0dd] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1404 | r_{21}=0.88\pm0.25 | arxiv_extracted | ["p", "r_{21}", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
r_{31} | m | urn:hailstone:astronomy:structural_equation[80af9206ea72] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1405 | r_{31}=0.61\pm0.22 | arxiv_extracted | ["r_{31}", "p", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
r_{41} | m | urn:hailstone:astronomy:structural_equation[9d9aad55dc3c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1406 | r_{41}=0.49\pm0.15 | arxiv_extracted | ["p", "m", "r_{41}"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
r_{51} | m | urn:hailstone:astronomy:structural_equation[82447531f5f2] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1407 | r_{51}=0.47\pm0.13 | arxiv_extracted | ["p", "r_{51}", "m"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
r_{61} | m | urn:hailstone:astronomy:structural_equation[cc374676f8f5] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1408 | r_{61}=0.28\pm0.13 | arxiv_extracted | ["m", "p", "r_{61}"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
L | e | urn:hailstone:astronomy:structural_equation[fa5597059741] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.25167v4.eq_1409 | {L}^{\prime}_{\mathrm{[CI]}(^{3}P_1 - ^{3}P_0)}/{L}^{\prime}_{\mathrm{CO}(J=1-0)})=-0.71\pm0.12 | arxiv_extracted | ["e", "m", "i", "p", "L", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.25167v4 | cross_domain_amplification | |
N | d | urn:hailstone:astronomy:structural_equation[af2bb7c76e47] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.22273v1.eq_1410 | N_{\rm side}=64 | arxiv_extracted | ["m", "i", "r", "s", "d", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.22273v1 | cross_domain_amplification | |
A | c | urn:hailstone:astronomy:structural_equation[e64ff7bc9539] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.22273v1.eq_1411 | A^{\mathcal{D}_\ell}=(2.22\pm2.09)\times10^{-4}\,\text{deg} | arxiv_extracted | ["a", "t", "m", "h", "A", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.22273v1 | cross_domain_amplification | |
g_{φγ} | G | urn:hailstone:astronomy:structural_equation[d91a740f91b3] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.22273v1.eq_1412 | g_{φγ}=10^{-15}\,\text{GeV}^{-1} | arxiv_extracted | ["e", "g_{\u03c6\u03b3}", "t", "G", "x"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.22273v1 | cross_domain_amplification | |
w_a | v | urn:hailstone:astronomy:structural_equation[a7e3d03b6c73] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.21491v1.eq_1413 | w_a\equiv \mathrm{d} w(a=1)/\mathrm{d}a \simeq-0.3 | arxiv_extracted | ["e", "q", "i", "w_a", "u", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.21491v1 | cross_domain_amplification | |
w_0 | v | urn:hailstone:astronomy:structural_equation[c21a1ba47c75] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.21491v1.eq_1414 | w_0\equiv w(z=0) | arxiv_extracted | ["e", "q", "i", "u", "w_0", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.21491v1 | cross_domain_amplification | |
E | r | urn:hailstone:astronomy:structural_equation[f8bf96f148b3] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.21141v3.eq_1415 | E_\mathrm{M}(k,t)=C_\mathrm{H} ε_\mathrm{H}^{2/3} k^{-1} | arxiv_extracted | ["a", "t", "m", "h", "r", "E"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.21141v3 | cross_domain_amplification | |
h | m | urn:hailstone:astronomy:structural_equation[364d1c6e02c6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.20898v2.eq_1416 | \hat{H}_0 = 69.29 \pm 0.81~\mathrm{km~s^{-1}~Mpc^{-1}} | arxiv_extracted | ["a", "t", "H", "m", "h", "p"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.20898v2 | cross_domain_amplification | |
l | M | urn:hailstone:astronomy:structural_equation[5e0f392da038] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.20458v1.eq_1417 | \log \rm{M}_*=[8.2, 9.2]~M_\odot | arxiv_extracted | ["g", "M", "m", "o", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.20458v1 | cross_domain_amplification | |
l | M | urn:hailstone:astronomy:structural_equation[6fa057755b43] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.20458v1.eq_1418 | \log \rm{M}_*=[9.2, 10.2]~M_\odot | arxiv_extracted | ["g", "M", "m", "o", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.20458v1 | cross_domain_amplification | |
l | o | urn:hailstone:astronomy:structural_equation[d3c4f150f46b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.20434v2.eq_1419 | \log_{10}(M_*/M_{\odot})=8.3-10.1 | arxiv_extracted | ["M", "l", "g_{10}", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.20434v2 | cross_domain_amplification | |
l | o | urn:hailstone:astronomy:structural_equation[3fbc489216e9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2509.20434v2.eq_1420 | \log_{10}(M_*/M_{\odot})=8.0 | arxiv_extracted | ["M", "l", "g_{10}", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2509.20434v2 | cross_domain_amplification |
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