Note 9 - Stockholders' Equity 1 (Details Textual) $ / shares in Units, $ in Millions |
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1 Months Ended |
9 Months Ended |
12 Months Ended |
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Jul. 23, 2024
$ / shares
shares
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May 20, 2021
$ / shares
shares
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Apr. 01, 2020
shares
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Jan. 30, 2019
shares
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Jun. 01, 2016
USD ($)
shares
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Dec. 31, 2022
$ / shares
shares
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Nov. 30, 2022
USD ($)
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Aug. 31, 2021
USD ($)
$ / shares
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Nov. 30, 2019
USD ($)
$ / shares
shares
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Sep. 30, 2024
$ / shares
shares
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Sep. 30, 2023
$ / shares
shares
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Dec. 31, 2023
USD ($)
$ / shares
shares
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Dec. 31, 2022
USD ($)
$ / shares
shares
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Nov. 01, 2019
$ / shares
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Jun. 30, 2016
$ / shares
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Common Stock, Shares Authorized (in shares) |
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29,000,000
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29,000,000
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29,000,000
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29,000,000
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Common Stock, Shares, Issued (in shares) |
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5,720,009
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5,720,009
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5,720,009
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5,720,009
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Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares |
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$ 0.00001
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$ 0.00001
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$ 0.00001
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$ 0.00001
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Preferred Stock, Shares Authorized (in shares) |
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20,655,895
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20,655,895
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Series B Preferred Stock [Member] |
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Preferred Stock, Shares Authorized (in shares) |
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1,533,528
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1,533,528
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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1,533,528
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1,533,528
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Shares Issued, Price Per Share (in dollars per share) | $ / shares |
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$ 3.19
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$ 3.19
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Series C Preferred Stock [Member] |
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Preferred Stock, Shares Authorized (in shares) |
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8,509,995
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8,509,995
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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8,509,995
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8,509,995
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Shares Issued, Price Per Share (in dollars per share) | $ / shares |
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5.29
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$ 5.29
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$ 5.29
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5.29
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Series D Preferred Stock [Member] |
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Preferred Stock, Shares Authorized (in shares) |
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7,130,335
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7,130,335
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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1,835,227
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1,835,227
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Shares Issued, Price Per Share (in dollars per share) | $ / shares |
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$ 5.29
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$ 5.29
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$ 5.29
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$ 5.29
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Stock Issued During Period, Shares, New Issues (in shares) |
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1,835,227
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Series D Preferred Stock [Member] | Common Stock [Member] |
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Stock Issued During Period, Shares, New Issues (in shares) |
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0
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Series D Preferred Stock [Member] | Preferred Stock [Member] |
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Stock Issued During Period, Shares, New Issues (in shares) |
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1,835,227
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Pieris Pharmaceuticals, Inc. [Member] |
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Common Stock, Shares Authorized (in shares) |
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3,750,000
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3,750,000
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3,750,000
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3,750,000
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Common Stock, Shares, Issued (in shares) |
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931,489
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1,320,240
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1,236,688
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931,489
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Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares |
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$ 0.001
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$ 0.001
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$ 0.001
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$ 0.001
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Preferred Stock, Shares Authorized (in shares) |
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10,000,000
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10,000,000
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10,000,000
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10,000,000
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Preferred Stock, Shares Issued (in shares) |
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15,617
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15,618
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15,617
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15,617
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Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares |
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$ 0.001
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$ 0.001
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$ 0.001
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$ 0.001
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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15,617
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15,618
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15,617
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15,617
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Convertible Preferred Stock, Shares Issued upon Conversion (in shares) |
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13.34
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Pieris Pharmaceuticals, Inc. [Member] | Conversion of Common Stock into Series E Preferred Stock [Member] |
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Sale of Stock, Number of Shares Issued in Transaction (in shares) |
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3,000
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Conversion of Stock, Shares Converted (in shares) |
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62,500
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37,500
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Conversion of Stock, Shares Issued (in shares) |
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5,000
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Pieris Pharmaceuticals, Inc. [Member] | Securities Purchase Agreement [Member] |
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Preferred Stock, Shares Issued (in shares) |
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4,963
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Partners' Capital Account, Units, Sold in Private Placement (in shares) |
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8,188,804
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Shares Issued, Price Per Share (in dollars per share) | $ / shares |
$ 13.7299
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$ 2.015
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Proceeds from Issuance of Private Placement | $ |
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$ 16.5
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Proceeds From Issuance Of Private Placement Net | $ |
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$ 15.3
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Sale of Stock, Number of Shares Issued in Transaction (in shares) |
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62,500
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40,323
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Stock Issued During Period, Shares, New Issues (in shares) |
3,154,241
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Pieris Pharmaceuticals, Inc. [Member] | At the Market Offering [Member] | Jefferies L L C [Member] |
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Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares |
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$ 0.001
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Shares Issued, Price Per Share (in dollars per share) | $ / shares |
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$ 276.51
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$ 0.84
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$ 67.07
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$ 276.51
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Sale of Stock, Authorized Amount | $ |
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$ 75.0
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$ 50.0
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Stock Issued During Period, Shares, New Issues (in shares) |
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0
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24,300,000
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0.3
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25,000
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Stock Issued During Period, Value, Issued for Services | $ |
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$ 20.3
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$ 7.2
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Pieris Pharmaceuticals, Inc. [Member] | Common Stock [Member] |
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Number Of Votes Per Share |
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1
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Stock Issued During Period, Shares, New Issues (in shares) |
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303,000
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304,000
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25,000
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Pieris Pharmaceuticals, Inc. [Member] | Preferred Stock [Member] |
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Stock Issued During Period, Shares, New Issues (in shares) |
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0
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0
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0
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Pieris Pharmaceuticals, Inc. [Member] | Preferred Stock [Member] | Preferred Share Exchange [Member] |
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Sale of Stock, Number of Shares Issued in Transaction (in shares) |
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5,000
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Pieris Pharmaceuticals, Inc. [Member] | Series A Preferred Stock [Member] |
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Preferred Stock, Shares Issued (in shares) |
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85
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85
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85
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85
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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85
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85
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85
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85
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Pieris Pharmaceuticals, Inc. [Member] | Series B Preferred Stock [Member] |
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Preferred Stock, Shares Issued (in shares) |
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4,026
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4,026
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4,026
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4,026
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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4,026
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4,026
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4,026
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4,026
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Pieris Pharmaceuticals, Inc. [Member] | Series C Preferred Stock [Member] |
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Preferred Stock, Shares Issued (in shares) |
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3,506
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3,506
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3,506
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3,506
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
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3,506
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3,506
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3,506
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3,506
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Pieris Pharmaceuticals, Inc. [Member] | Series C Preferred Stock [Member] | Preferred Share Exchange [Member] |
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Sale of Stock, Price Per Share (in dollars per share) | $ / shares |
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$ 274.4
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Debt Instrument, Convertible, Beneficial Conversion Feature | $ |
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$ 2.8
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Pieris Pharmaceuticals, Inc. [Member] | Series C Preferred Stock [Member] | Private Placement [Member] |
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Convertible Preferred Stock, Shares Issued upon Conversion (in shares) |
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0.001
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Proceeds From Issuance Of Private Placement Net | $ |
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$ 31.0
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Sale of Stock, Number of Shares Issued in Transaction (in shares) |
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9,014,960
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Sale of Stock, Price Per Share (in dollars per share) | $ / shares |
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$ 3.55
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Sale of Stock, Consideration Received Per Transaction | $ |
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$ 32.0
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Stock Issued During Period, Shares, Conversion of Units (in shares) |
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1
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Sale of Stock, Number of Warrants, Per Unit (in shares) |
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1
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Class of Warrant or Right, Number of Securities Called by Each Warrant or Right (in shares) |
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1
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Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares |
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$ 568
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Convertible Preferred Stock, Weighted Average Stock Price, Percent |
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3.00%
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Pieris Pharmaceuticals, Inc. [Member] | Series C Preferred Stock [Member] | Private Placement [Member] | Maximum [Member] |
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Warrants and Rights Outstanding, Term (Year) |
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5 years
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Pieris Pharmaceuticals, Inc. [Member] | Series D Preferred Stock [Member] |
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Preferred Stock, Shares Issued (in shares) |
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3,000
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3,000
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3,000
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3,000
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
|
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3,000
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3,000
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3,000
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3,000
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Pieris Pharmaceuticals, Inc. [Member] | Series E Preferred Stock [Member] |
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Preferred Stock, Shares Issued (in shares) |
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5,000
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5,000
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5,000
|
5,000
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Preferred Stock, Shares Outstanding, Ending Balance (in shares) |
|
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|
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5,000
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5,000
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5,000
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5,000
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Pieris Pharmaceuticals, Inc. [Member] | Series A Through E [Member] | Preferred Stock [Member] |
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Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares |
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$ 0.001
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Convertible Preferred Stock, Shares Issued upon Conversion (in shares) |
|
13.34
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Convertible Preferred Stock, Common Stock Ownership Limit, Percent |
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9.99%
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Convertible Preferred Stock, Beneficial Ownership Limitation, Percent |
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19.99%
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Convertible Preferred Stock, Beneficial Ownership Limitation, Notice Period Before Increase (Year) |
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61 years
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