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object_id
stringlengths
2
14
survey
stringclasses
2 values
ra
float64
0.1
360
dec
float64
-79.48
83.3
rgb
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caption_blind
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leak_flags_json
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multipeak_qc_json
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float32
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131
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0001m057-6125
legacy-south
0.167744
-5.683624
[[0.0002646105713211,0.0015750039601698518,0.00315661053173244,0.0022192972246557474,0.0031941207125(...TRUNCATED)
[[298773.96875,296862.25,295496.75,297408.46875,293038.8125,300958.78125,297408.46875,302597.40625,2(...TRUNCATED)
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160
160
1.483133
0.262
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[[159931.53125,154645.40625,157029.34375,157443.9375,153712.546875,156511.09375,154438.109375,156614(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.342847
0.262
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[[36190.78125,35481.16015625,34986.57421875,35029.58203125,35481.16015625,35416.6484375,35309.128906(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.254319
0.262
[[-0.0028770193457603455,0.009737186133861542,0.013501091860234737,0.005462634842842817,0.0034066226(...TRUNCATED)
[[19671.060546875,19708.38671875,19559.08203125,19639.955078125,19658.619140625,19739.4921875,19727.(...TRUNCATED)
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160
160
1.196826
0.262
"The target is a bright, smooth, oval-shaped object located in the center of the frame, elongated al(...TRUNCATED)
"Classified as unresolved or marginally resolved, the target consists of a single central component (...TRUNCATED)
"The central target presents a compact, bright, whitish core with a smooth, elongated oval morpholog(...TRUNCATED)
"The central target is a bright, compact source with a smooth, oval light distribution oriented diag(...TRUNCATED)
0.004375
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
true
"{\"stage1\": [\"internal_structure_language_after_unresolved_claim:['bar', 'dust lane', 'spiral arm(...TRUNCATED)
"{\"possible_multipeak\": false, \"n_candidate_peaks\": 1, \"separation_px\": null, \"peak_snr_by_ba(...TRUNCATED)
[ "egm_00016635" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
17.125999
16.667
16.264
16.184
13.925
13.257
11.88
11
1.917
0.1916
125.019997
0002m527-3291
legacy-south
0.101123
-52.841935
[[0.0015295003540813923,-0.0025804308243095875,-0.0009976046858355403,0.00046410399954766035,-0.0009(...TRUNCATED)
[[354660.6875,369919.34375,367857.34375,364970.59375,362496.21875,364970.59375,367444.96875,357547.4(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.439966
0.262
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[[177968.140625,177343.703125,180341.0625,181964.625,181589.953125,181465.0625,178717.484375,178967.(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.177946
0.262
[[0.002234978601336479,-0.0002319094492122531,0.001281202770769596,-0.004140830598771572,-0.00435786(...TRUNCATED)
[[29537.677734375,29736.18359375,29597.23046875,29756.03515625,29636.931640625,30073.64453125,29081.(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.268968
0.262
[[-0.0012531690299510956,-0.005903179757297039,0.0032654372043907642,0.017115389928221703,0.00586978(...TRUNCATED)
[[12802.3662109375,12806.07421875,12735.609375,12657.7275390625,12702.2314453125,12731.9013671875,12(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.107309
0.262
"This object presents a highly asymmetric, disturbed morphology consistent with an ongoing interacti(...TRUNCATED)
"This clearly extended object exhibits a strong color gradient across its asymmetric structure. The (...TRUNCATED)
"The central target exhibits an asymmetric, disturbed morphology characterized by an intensely brigh(...TRUNCATED)
"This extended target displays an irregular and highly asymmetric morphology with a pronounced color(...TRUNCATED)
0.003398
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
"{\"possible_multipeak\": false, \"n_candidate_peaks\": 1, \"separation_px\": null, \"peak_snr_by_ba(...TRUNCATED)
[ "egm_00030273" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
16.916
15.993
15.494
15.224
17.186001
17.778
null
13.558
13.834
0.4141
99.239998
0004m277-3679
legacy-south
0.482477
-27.627178
[[0.02496861293911934,0.03102182038128376,0.03412654995918274,0.025843972340226173,0.031531993299722(...TRUNCATED)
[[56516.70703125,54984.2421875,52275.66015625,56744.8203125,54916.52734375,53155.94921875,53088.2343(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.454873
0.262
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[[34826.4375,36015.453125,35144.3125,34397.62109375,34646.51953125,34223.390625,32904.234375,32082.8(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.152104
0.262
[[0.043188974261283875,0.050325509160757065,0.05404848977923393,0.049867890775203705,0.0446543991565(...TRUNCATED)
[[6792.81884765625,6749.75537109375,6669.0810546875,6690.59423828125,6755.1337890625,6738.9990234375(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.259169
0.262
[[0.049901992082595825,0.05872570723295212,0.07272429764270782,0.08250251412391663,0.039319582283496(...TRUNCATED)
[[2564.09619140625,2551.653076171875,2554.932861328125,2547.280029296875,2593.19677734375,2557.11938(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.164515
0.262
"The center of the frame is dominated by a bright, point-like source with a saturated white core sur(...TRUNCATED)
"This source is unresolved, appearing as a single, isolated point-like object. It has a sharply peak(...TRUNCATED)
"The target occupies the center of the frame as a bright, circular source with a luminous, warm-tone(...TRUNCATED)
"A bright, circular, unresolved source dominates the center of the frame, featuring a brilliant, sat(...TRUNCATED)
0.00375
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
"{\"possible_multipeak\": false, \"n_candidate_peaks\": 1, \"separation_px\": null, \"peak_snr_by_ba(...TRUNCATED)
[ "egm_00014555" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
13.619
12.766
12.366
12.068
12.579
12.993
11.757
11.431
16.587999
0.0012
86.480003
0006m017-4528
legacy-south
0.600122
-1.704316
[[-0.00014983586152084172,-0.00021356777870096266,-0.0006558204768225551,-0.0001972202444449067,-0.0(...TRUNCATED)
[[303897.71875,301663.1875,302501.125,302221.8125,303618.40625,302780.46875,307249.53125,301942.5,30(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.701293
0.262
[[0.0015313539188355207,0.00024405293515883386,-0.0022240420803427696,-0.0011982721043750644,0.00051(...TRUNCATED)
[[113308.4609375,111413.1171875,114544.5546875,113308.4609375,115038.9921875,114956.5859375,111907.5(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.269022
0.262
[[-0.0003613620938267559,-0.004135300870984793,0.0022766694892197847,0.0030626936350017786,0.0053690(...TRUNCATED)
[[37191.48046875,37384.58203125,36882.515625,36921.13671875,36785.96484375,36959.7578125,37094.92968(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.273842
0.262
[[0.009308314882218838,-0.0015629407716915011,0.01033912505954504,-0.004437255207449198,-0.022163476(...TRUNCATED)
[[11708.689453125,11807.0810546875,11751.9814453125,11795.2744140625,11968.4453125,11755.9169921875,(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.09919
0.262
"A bright, compact yellowish-white object is situated at the center of the frame, featuring a sharpl(...TRUNCATED)
"The target is marginally resolved, presenting as a compact, sharply peaked core with a faint, tight(...TRUNCATED)
"The target appears near the center of the frame as a bright, compact yellowish-white source that sh(...TRUNCATED)
"A bright, compact yellowish-white source dominates the center of the field, featuring a sharply pea(...TRUNCATED)
0.002617
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
"{\"possible_multipeak\": false, \"n_candidate_peaks\": 3, \"separation_px\": null, \"peak_snr_by_ba(...TRUNCATED)
[ "egm_00043920" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
21.292999
19.896
19.4
19.118
18.197001
17.683001
15.236
12.429
0.553
0.1393
83.089996
0006p007-8445
legacy-south
0.704463
0.751361
[[0.0000703158148098737,0.0009171337587758899,0.005085709970444441,0.002950850874185562,0.0008698592(...TRUNCATED)
[[327694.46875,323567.34375,317239.0625,317514.21875,330170.75,319715.34375,327419.34375,325218.1875(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.607767
0.262
[[0.003561795689165592,-0.0010677730897441506,0.0005684783682227135,-0.001253302558325231,-0.0016246(...TRUNCATED)
[[129496.28125,129398.765625,131446.53125,132031.59375,131251.5,130276.375,130666.4296875,149388.781(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.205754
0.262
[[-0.006327677983790636,-0.007389797363430262,0.006168872583657503,-0.0021606481168419123,0.00757963(...TRUNCATED)
[[22939.826171875,22905.068359375,22540.1171875,22522.73828125,22383.708984375,22435.845703125,22296(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.174515
0.262
[[-0.00243795826099813,-0.0009586885571479797,0.020127136260271072,0.0165975671261549,-0.00186618044(...TRUNCATED)
[[15579.0751953125,15474.7841796875,15335.7294921875,15291.033203125,15613.8388671875,15430.08789062(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.04337
0.262
"The center of the frame features a close pair of bright, compact cores aligned along a diagonal run(...TRUNCATED)
"This target is marginally resolved, appearing as a close double-nucleus system composed of two shar(...TRUNCATED)
"Near the center of the frame, the field is dominated by a close pair of bright, compact, yellowish-(...TRUNCATED)
"Near the center of the frame, the target appears as a close pair of bright, compact, yellowish-whit(...TRUNCATED)
0.003437
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
true
"{\"stage1\": [\"internal_structure_language_after_unresolved_claim:['bar', 'dust lane', 'spiral arm(...TRUNCATED)
"{\"possible_multipeak\": false, \"n_candidate_peaks\": 1, \"separation_px\": null, \"peak_snr_by_ba(...TRUNCATED)
[ "egm_00004671" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
18.302999
17.150999
16.648001
16.332001
16.157
16.488001
15.148
12.828
1.074
0.247
78.419998
0006p032-4132
legacy-south
0.610105
3.351954
[[0.004054626449942589,0.0027309053111821413,0.004750214982777834,0.004490285646170378,0.00215641129(...TRUNCATED)
[[235820.546875,240551.90625,237065.640625,239804.84375,237314.65625,249267.546875,240551.90625,2358(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.682188
0.262
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[[90905.234375,91655.1328125,93738.2109375,93154.9453125,89905.359375,93571.5625,92155.0703125,92988(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.21279
0.262
[[0.008630635216832161,-0.0055971392430365086,0.011789433658123016,-0.0022810751106590033,0.01217757(...TRUNCATED)
[[21419.2578125,21949.498046875,21382.263671875,21678.2109375,21308.275390625,21604.224609375,21406.(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.169415
0.262
[[0.0061577605083584785,0.00858523789793253,0.009598365984857082,0.01204987894743681,0.0049284612759(...TRUNCATED)
[[12320.43359375,12312.2958984375,12296.0205078125,12296.0205078125,12352.984375,12279.7451171875,12(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.138844
0.262
"A face-on spiral galaxy dominated by a very bright, circular, white central region surrounded by a (...TRUNCATED)
"This clearly extended galaxy shows a distinct two-toned color distribution, featuring a bright, con(...TRUNCATED)
"The target at the center of the frame is a nearly face-on spiral galaxy featuring a prominent, inte(...TRUNCATED)
"This face-on spiral galaxy features an intensely bright, circular white central core surrounded by (...TRUNCATED)
0.004492
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
"{\"possible_multipeak\": false, \"n_candidate_peaks\": 1, \"separation_px\": null, \"peak_snr_by_ba(...TRUNCATED)
[ "egm_00008598" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
14.343
13.773
13.479
13.304
13.213
13.283
11.524
10.337
6.139
0
0
0008m115-5500
legacy-south
0.959639
-11.474436
[[0.0037188695278018713,-0.0010687032481655478,0.0012932037934660912,0.001365954172797501,-0.0009187(...TRUNCATED)
[[156187.875,165653.796875,164752.28125,163174.625,165879.1875,158216.28125,163850.765625,167456.843(...TRUNCATED)
[[true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED)
160
160
1.811166
0.262
[[-0.0034936179872602224,-0.00021522559109143913,0.002328000031411648,0.010922526940703392,-0.011060(...TRUNCATED)
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160
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1.361997
0.262
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160
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1.532689
0.262
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1.754799
0.262
"This object is a face-on spiral galaxy featuring a bright, concentrated whitish-blue central core s(...TRUNCATED)
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"A face-on spiral galaxy dominates the frame, featuring a bright, compact whitish-cyan core surround(...TRUNCATED)
0.000742
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
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[ "egm_00043268" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
16.729
16.218
16.049
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17.370001
17.414
19.052999
13.324
13.624
0.1109
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0011m102-3899
legacy-south
1.163924
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160
160
1.708775
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160
160
1.515337
0.262
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[[35221.09375,35865.59375,35151.41796875,35099.16015625,35099.16015625,34803.0390625,35238.51171875,(...TRUNCATED)
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160
160
1.565447
0.262
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160
160
1.868366
0.262
"This galaxy displays a distinctly asymmetric, elongated morphology oriented roughly vertically, til(...TRUNCATED)
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"The target near the center of the frame is an elongated, bright bluish structure oriented roughly v(...TRUNCATED)
"A distinctly asymmetric, elongated galaxy near the center of the frame displays a prominent blue-wh(...TRUNCATED)
0.002539
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
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[ "egm_00029395" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
17.789
17.621
17.197001
17.275999
17.940001
18.43
15.604
13.059
5.447
0.6653
168.539993
0011p000-7145
legacy-south
1.171829
0.119787
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160
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1.557139
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160
160
1.247342
0.262
[[0.003908861428499222,0.009904046542942524,-0.003211245173588395,0.00037062549381516874,-0.00172798(...TRUNCATED)
[[34380.625,34221.78515625,34645.36328125,34451.22265625,34521.8203125,34415.92578125,34027.64453125(...TRUNCATED)
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160
160
1.219969
0.262
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160
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1.160658
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0.004336
false
{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
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{"stage1": [], "stage2": [], "stage3": [], "stage4": [], "stage5": [], "stage6": []}
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[ "egm_00006789" ]
1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
18.233
17.334
16.922001
16.68
16.813
17.195
18.756001
null
1.516
0.0904
155.289993
0015m562-6266
legacy-south
1.556124
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160
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1.129445
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160
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1.090446
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0.003633
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1
2026-09-01-per-survey-white-balance
2026-09-17-caption-blind-v4-singleimage
gemini-3.7-flash
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17.233
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End of preview. Expand in Data Studio

AstroBridge Legacy Survey Captions

3,487 imaging cutouts from the Legacy Survey (DR10 South + North), crossmatched against published literature mentions and captioned in four independent stages by Gemini (gemini-3.7-flash), following the AstroLLaVA data-generation approach (Zaman et al. 2025, arXiv:2504.08583): no caption is ever told the object's real name or catalog designation, and no caption states a fact that isn't derivable from the pixels or the (redacted-at-the-model, checked-on-output) literature context itself.

What's in a row

field description
object_id, survey, ra, dec identity and position
rgb, rgb_crop rendered display composites (z=R, r=G, g=B; adaptive asinh stretch, per-survey white-balance, ivar-based chroma confidence where available) - the exact pixels shown to the model
flux_{g,r,i,z}, ivar_{g,r,i,z}, mask_{g,r,i,z} raw calibrated per-band tensors, variable shape per row (see height_*/width_*) - legacy-north has no ivar/mask/i-band at all (null), a real gap in that release, not a missing-data artifact
psf_fwhm_{band}, scale_{band} per-band PSF FWHM and pixel scale
caption_blind image alone, open-ended description
caption_properties image alone, structured resolvedness/color/structure estimate (generated in the same Gemini call as caption_blind - see below)
caption_literature image + capped literature excerpts + real name (for disambiguation only)
caption_fused editor pass reconciling the three drafts above against the pixels
mag_{g,r,i,z,w1-w4}, effective_radius_arcsec, ellipticity, position_angle_deg real catalog photometry/shape - QC reference only, never shown to the model; north rows have null i-band/WISE/shape (no shape fit or that photometry in north's catalog)
any_leaks_detected, leak_flags_json, any_qc_flags, qc_flags_json automated review flags - see Known issues below before treating a flagged row as a real problem
multipeak_qc_json deterministic double-peak pixel check, QC-only (null/None fields for legacy-north, which has no ivar to compute S/N from)
literature_mention_ids_selected, n_literature_mentions_total audit trail of which literature excerpts informed stage 3/4 - raw excerpt text is deliberately not included (see below)
renderer_version, prompt_set_version, model reproducibility metadata

Pipeline

Every object gets 3 independent, stateless Gemini calls (not 4 - stage 1 and stage 2 are both blind, image-only generations with no name and no literature, so they're issued as one merged call returning two JSON fields, cutting prompt tokens by ~37% since the image only has to be paid for once):

  1. Merged call → caption_blind (open-ended) + caption_properties (structured, resolvedness-gated) - image only.
  2. Literature call → caption_literature - image + up to 8 capped literature excerpts + the real name, shown only so the model can attribute excerpts correctly.
  3. Fusion call → caption_fused - given all three drafts above as proposals, not ground truth, the model re-examines the pixels itself and writes one final caption, resolving disagreements by looking at the image, not by trusting whichever draft sounds more confident.

An absolute rule is prepended and re-checked at the end of every single call: never output the object's name, any catalog designation, or any other identifying string - for this object or any other one that happens to be mentioned in the literature excerpts. Two casual/expert conversation stages exist in the pipeline but are currently deferred (not generated here) - LLaVA second-stage material, out of scope for this release.

Known issues

  • any_leaks_detected false positives from single-letter identity strings. 2 objects (one per survey) have a bare single-letter name variant in their literature record (a gravitational-lens-arc component label, e.g. "arc A") that the leak detector's word-boundary match confuses with the English article "a" anywhere in ordinary prose. Both were hand-reviewed: no real identity leaked. Not yet fixed upstream.
  • Some any_leaks_detected/any_qc_flags rows reflect stale, pre-deferral conversation-stage content, not this dataset's actual caption_* fields - leak_flags_json/qc_flags_json are per-stage, so check which stage a flag actually landed on before treating a row as suspect.
  • QC/leak flags are coarse lexicon/regex review markers for a human, not an automated rejection filter - they are included for transparency, not as a quality guarantee or its absence.

What's deliberately excluded

Raw literature excerpt text (copied passages from published papers) is not included in this public release - only the mention_ids that were shown to the model, so the exact provenance of stage 3/4 is still auditable via the source literature-crossmatch dataset above.

Citation

If you use this dataset, please also cite the source imaging and literature-crossmatch datasets linked above, and the AstroLLaVA paper this generation approach adapts:

@article{zaman2025astrollava,
  title={AstroLLaVA: towards the unification of astronomical data and natural language},
  author={Zaman, Sharaf and others},
  journal={arXiv preprint arXiv:2504.08583},
  year={2025}
}
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