Subsequent Events	12 Months Ended
Dec. 31, 2012
Subsequent Events [Abstract]
Subsequent Events	The Company evaluated all events or transactions after December 31, 2012 through the date the financial statements were issued. Appointment of Interim Chief Executive Officer On February 27, 2013, Harvey J. Kesner, age 55, was appointed interim Chief Executive Officer of Spherix Incorporated (the “Company”). Mr. Kesner currently serves as a member of the Board of Directors of the Company. Nuta Technology Corp. In early 2013 the Company created a new wholly-owned subsidiary, Nuta Technology Corp. (“Nuta”), organized under the laws of the state of Virginia with its principal offices in Tysons Corner, Virginia. Office Lease Agreement In February 2013, the Company entered into a Lease Agreement to lease 837 square feet of office space in Tysons Corner, Virginia. The lease runs from March 1, 2013 through August 31, 2014. Letter of Intent On February 15, 2013, our wholly-owned subsidiary Nuta, entered into a Letter of Intent (the “LOI”) with North South Holdings, Inc. (“North South”), the owner of patents and licenses covering various aspects of wireless communications. Pursuant to the LOI, at closing, Nuta would acquire 100% of the issued and outstanding capital stock of North South in consideration for the issuance of capital stock of the Company equal to 12,000,000 shares of the Company’s common stock. Pursuant to the LOI, Nuta will be capitalized with a minimum of $2,000,000 cash at closing and will have engaged management familiar with commercialization of intellectual property assets. The LOI has certain binding and non-binding obligations, including the acquisition consideration which is not subject to adjustment. However, the transaction is subject to various conditions to closing, including satisfactory completion of due diligence, approval of the Company’s shareholders and definitive documentation. Upon completion Nuta may seek to engage in commercialization activities related to the inventions that are the subject of the patents acquired, although there can be no assurance that such efforts would be successful. There can be no assurance that the transactions contemplated by the LOI will be consummated. Warrant Exchange Agreement On March 6, 2013, the Company, and certain investors that participated in the November 2012 private placement transaction (“Investors”), entered into separate Warrant Exchange Agreements pursuant to which the Investors exchanged common stock purchase warrants acquired in the private placement transaction for shares of the Company’s Series C Convertible Preferred Stock. Each share of Series C Convertible Preferred Stock is convertible into one (1) share of Common Stock at the option of the holder, subject to certain limitations on conversions that would result in the Investors acquiring more than 4.99%/9.99% of the outstanding voting stock of the Company. The Series C Convertible Preferred Stock was established on March 5, 2013 by the filing in the State of Delaware of a Certificate of Designation of Preferences, Rights and Limitations of Series C Convertible Preferred Stock (“Certificate of Designation”). Warrants were issued in November 2012 and were convertible for an aggregate of 483,657 shares of Common Stock. The Warrants were exercisable through November 7, 2017 at an exercise price of $6.53 per share. Pursuant to the Warrant Exchange Agreements, the Investors received in exchange for their warrants an aggregate of 229,337 shares of the Series C Convertible Preferred Stock, convertible into one share of Common Stock for each share of Series C Convertible Preferred Stock. The number of shares of common stock underlying the Series C Convertible Preferred stock is the same number as would have been-issued upon a “cashless exercise” of the exchanged Warrants under the terms of the Warrants based on the one-day volume weighted average price of the Company’s Common Stock on February 28, 2013, which was $12.6439 per share, as reported by Bloomberg. The Company has agreed to register the shares of Common Stock issuable upon conversion of the Series C Convertible Preferred Stock on the same basis as the shares of Common Stock issued in the November 2012 private placement transaction. Currently the Company is not obligated to file any registration statement for the Common Stock, or shares of Common Stock underlying the Warrants, until requested by a majority of the Investors. Rights Agreement Effective January 1, 2013, the Company and Equity Stock Transfer, LLC, as Rights Agent, entered into a Rights Agreement which continues through December 31, 2017. The Rights Agreement provides each Stockholder of record a dividend distribution of one “right” for each outstanding share of Common Stock. Rights become exercisable at the earlier of ten days following: (1) a public announcement that an acquirer has purchased or has the right to acquire 10% or more of our Common Stock, or (2) the commencement of a tender offer which would result in an offeror beneficially owning 10% or more of our outstanding Common Stock. All rights held by an acquirer or offeror expire on the announced acquisition date, and all rights expire at the close of business on December 31, 2017, subject to further extension. Each right entitles a Stockholder to acquire, at a stated purchase price, 1/100 of a share of our preferred stock, which carries voting and dividend rights similar to one share of our Common Stock. Alternatively, a right holder may elect to purchase for the stated price an equivalent number of shares of our Common Stock at a price per share equal to one-half of the average market price for a specified period. In lieu of the stated purchase price, a right holder may elect to acquire one-half of the Common Stock available under the second option. The purchase price of the preferred stock fractional amount is subject to adjustment for certain events as described in the Agreement. At the discretion of a majority of the Board and within a specified time period, we may redeem all of the rights at a price of $0.001 per right. The Board may also amend any provisions of the Agreement prior to exercise. Retention Agreement In January 2013, the Company entered into a Retention Agreement with Mr. Lodder which provides that (i) Mr. Lodder will remain with the Company as an executive officer through June 30, 2013 and receive compensation at the rate previously provided to him and (ii) the Company will pay Mr. Lodder a severance of $233,398 as had been provided under the terms of his Employment Agreement, which was terminated under the terms of his Retention Agreement.

Subsequent Events

12 Months Ended

Dec. 31, 2012

The Company evaluated all events or transactions after December 31, 2012 through the date the financial statements were issued.

Appointment of Interim Chief Executive Officer

On February 27, 2013, Harvey J. Kesner, age 55, was appointed interim Chief Executive Officer of Spherix Incorporated (the “Company”). Mr. Kesner currently serves as a member of the Board of Directors of the Company.

Nuta Technology Corp.

In early 2013 the Company created a new wholly-owned subsidiary, Nuta Technology Corp. (“Nuta”), organized under the laws of the state of Virginia with its principal offices in Tysons Corner, Virginia.

Office Lease Agreement

In February 2013, the Company entered into a Lease Agreement to lease 837 square feet of office space in Tysons Corner, Virginia. The lease runs from March 1, 2013 through August 31, 2014.

Letter of Intent

On February 15, 2013, our wholly-owned subsidiary Nuta, entered into a Letter of Intent (the “LOI”) with North South Holdings, Inc. (“North South”), the owner of patents and licenses covering various aspects of wireless communications. Pursuant to the LOI, at closing, Nuta would acquire 100% of the issued and outstanding capital stock of North South in consideration for the issuance of capital stock of the Company equal to 12,000,000 shares of the Company’s common stock. Pursuant to the LOI, Nuta will be capitalized with a minimum of $2,000,000 cash at closing and will have engaged management familiar with commercialization of intellectual property assets.

The LOI has certain binding and non-binding obligations, including the acquisition consideration which is not subject to adjustment. However, the transaction is subject to various conditions to closing, including satisfactory completion of due diligence, approval of the Company’s shareholders and definitive documentation. Upon completion Nuta may seek to engage in commercialization activities related to the inventions that are the subject of the patents acquired, although there can be no assurance that such efforts would be successful.

There can be no assurance that the transactions contemplated by the LOI will be consummated.

Warrant Exchange Agreement

On March 6, 2013, the Company, and certain investors that participated in the November 2012 private placement transaction (“Investors”), entered into separate Warrant Exchange Agreements pursuant to which the Investors exchanged common stock purchase warrants acquired in the private placement transaction for shares of the Company’s Series C Convertible Preferred Stock. Each share of Series C Convertible Preferred Stock is convertible into one (1) share of Common Stock at the option of the holder, subject to certain limitations on conversions that would result in the Investors acquiring more than 4.99%/9.99% of the outstanding voting stock of the Company. The Series C Convertible Preferred Stock was established on March 5, 2013 by the filing in the State of Delaware of a Certificate of Designation of Preferences, Rights and Limitations of Series C Convertible Preferred Stock (“Certificate of Designation”).

Warrants were issued in November 2012 and were convertible for an aggregate of 483,657 shares of Common Stock. The Warrants were exercisable through November 7, 2017 at an exercise price of $6.53 per share.

Pursuant to the Warrant Exchange Agreements, the Investors received in exchange for their warrants an aggregate of 229,337 shares of the Series C Convertible Preferred Stock, convertible into one share of Common Stock for each share of Series C Convertible Preferred Stock. The number of shares of common stock underlying the Series C Convertible Preferred stock is the same number as would have been-issued upon a “cashless exercise” of the exchanged Warrants under the terms of the Warrants based on the one-day volume weighted average price of the Company’s Common Stock on February 28, 2013, which was $12.6439 per share, as reported by Bloomberg. The Company has agreed to register the shares of Common Stock issuable upon conversion of the Series C Convertible Preferred Stock on the same basis as the shares of Common Stock issued in the November 2012 private placement transaction. Currently the Company is not obligated to file any registration statement for the Common Stock, or shares of Common Stock underlying the Warrants, until requested by a majority of the Investors.

Rights Agreement

Effective January 1, 2013, the Company and Equity Stock Transfer, LLC, as Rights Agent, entered into a Rights Agreement which continues through December 31, 2017. The Rights Agreement provides each Stockholder of record a dividend distribution of one “right” for each outstanding share of Common Stock. Rights become exercisable at the earlier of ten days following: (1) a public announcement that an acquirer has purchased or has the right to acquire 10% or more of our Common Stock, or (2) the commencement of a tender offer which would result in an offeror beneficially owning 10% or more of our outstanding Common Stock. All rights held by an acquirer or offeror expire on the announced acquisition date, and all rights expire at the close of business on December 31, 2017, subject to further extension. Each right entitles a Stockholder to acquire, at a stated purchase price, 1/100 of a share of our preferred stock, which carries voting and dividend rights similar to one share of our Common Stock. Alternatively, a right holder may elect to purchase for the stated price an equivalent number of shares of our Common Stock at a price per share equal to one-half of the average market price for a specified period. In lieu of the stated purchase price, a right holder may elect to acquire one-half of the Common Stock available under the second option. The purchase price of the preferred stock fractional amount is subject to adjustment for certain events as described in the Agreement. At the discretion of a majority of the Board and within a specified time period, we may redeem all of the rights at a price of $0.001 per right. The Board may also amend any provisions of the Agreement prior to exercise.

Retention Agreement

In January 2013, the Company entered into a Retention Agreement with Mr. Lodder which provides that (i) Mr. Lodder will remain with the Company as an executive officer through June 30, 2013 and receive compensation at the rate previously provided to him and (ii) the Company will pay Mr. Lodder a severance of $233,398 as had been provided under the terms of his Employment Agreement, which was terminated under the terms of his Retention Agreement.