Subsequent Events	9 Months Ended
Sep. 30, 2013
Subsequent Events [Abstract]
Subsequent Events	The Company evaluated all events or transactions after September 30, 2013 through the date the condensed consolidated financial statements were issued. On October 7, 2013, the Company received notice of a complaint filed in the Circuit Court of Montgomery County, Maryland in the matter of LegalLink Inc. vs. Spherix Incorporated. LegalLink, Inc., a Merrill Communications Company alleges that the Company failed to honor their contract regarding services provided by LegalLink, Inc. LegalLink, Inc. alleges that the Company owes them $47,309 for services rendered to the Company, that have gone unpaid. The Company’s legal counsel is reviewing this lawsuit and is assessing the likelihood of an unfavorable outcome at this time. As of September 30, 2013, the past due balance of $47,409 has been included in accounts payable and accrued expenses on the condensed consolidated financial statements. On October 11, 2013, the Company appointed Michael Pollack as its interim Chief Financial Officer. In connection with his appointment, the Company and Mr. Pollack entered into an Indemnification Agreement. On October 15, 2013, the Board approved the Company’s Amended and Restated Bylaws in order to update the Company’s bylaws in various respects. On October 15, 2013, the Board approved the amendment and restatement of the Company’s Certificate of Incorporation, as amended, to, among other things, increase the number of authorized shares from 50,000,000 shares of Common Stock and 5,000,000 shares of Preferred Stock to 200,000,000 shares and 50,000,000 shares respectively. The amendment and restatement of the Company’s Certificate of Incorporation is being submitted for stockholder approval at the Company’s 2013 Annual Stockholder meeting. On October 28, 2013, the Board appointed Alexander Poltorak to the Company’s Board of Directors. In connection with his appointment, the Company and Mr. Poltorak entered into an Indemnification Agreement. On November 6, 2013, the Company sold an aggregate of 304,250 shares of its newly designated Series F Preferred Stock and 48,438 shares of common stock to five accredited investors for gross proceeds to the Company of $2,235,000 pursuant to subscription agreements. The purchase price per share of Common Stock was $6.40 for $1,310,000 of such investment and $6.25 for $925,000 of such investment. No broker was utilized in connection with the sale. In accordance with the requirement of NASDAQ, each share of Series F Preferred Stock shall be entitled to .91 times the vote attributable to the shares of common stock. The Company anticipates correcting the Certificate of Designation; Rights and Preferences of the Series F Preferred Stock shall be entitled to 91% of one vote, subject to the beneficial ownership limitation covering the shares. In connection with the foregoing private placement, the Company agreed to file a “resale” registration statement with the SEC covering all shares of Common Stock and shares of Common Stock underlying the Series F Preferred Stock within 91 days of the final closing date and to maintain the effectiveness of the registration statement until all securities have been sold or are otherwise able to be sold pursuant to Rule 144. The Company has agreed to use its reasonable best efforts to have the registration statement declared effective within 180 days of the final closing. The Company is obligated to pay to investors a fee of one (1%) per month in cash for every thirty day period up to a maximum of six (6%) percent, (i) that the registration statement has not been filed after the required filing date, and (ii) following the required date of effectiveness that the registration statement has not been declared effective; provided, however, that the Company shall not be obligated to pay any such liquidated damages if the Company is unable to fulfill its registration obligations as a result of rules, regulations, positions or releases issued or actions taken by the SEC pursuant to its authority with respect to “Rule 415”, provided the Company registers at such time the maximum number of shares of Common Stock permissible upon consultation with the staff of the SEC. The Company also entered into a Lockup Agreement with certain investors which provides for restrictions on the resale of shares for a period of 180 days from the closing of the Private Placement held by certain investors through December 31, 2014, which in certain circumstances is subject to extension. The Lockup Agreement provides that additional 180 day restrictions shall commence without further action of the Company upon the sale of $15 million or greater gross proceeds of securities and upon a material acquisition.

Subsequent Events

9 Months Ended

Sep. 30, 2013

The Company evaluated all events or transactions after September 30, 2013 through the date the condensed consolidated financial statements were issued.

On October 7, 2013, the Company received notice of a complaint filed in the Circuit Court of Montgomery County, Maryland in the matter of LegalLink Inc. vs. Spherix Incorporated. LegalLink, Inc., a Merrill Communications Company alleges that the Company failed to honor their contract regarding services provided by LegalLink, Inc. LegalLink, Inc. alleges that the Company owes them $47,309 for services rendered to the Company, that have gone unpaid. The Company’s legal counsel is reviewing this lawsuit and is assessing the likelihood of an unfavorable outcome at this time. As of September 30, 2013, the past due balance of $47,409 has been included in accounts payable and accrued expenses on the condensed consolidated financial statements.

On October 11, 2013, the Company appointed Michael Pollack as its interim Chief Financial Officer. In connection with his appointment, the Company and Mr. Pollack entered into an Indemnification Agreement.

On October 15, 2013, the Board approved the Company’s Amended and Restated Bylaws in order to update the Company’s bylaws in various respects.

On October 15, 2013, the Board approved the amendment and restatement of the Company’s Certificate of Incorporation, as amended, to, among other things, increase the number of authorized shares from 50,000,000 shares of Common Stock and 5,000,000 shares of Preferred Stock to 200,000,000 shares and 50,000,000 shares respectively. The amendment and restatement of the Company’s Certificate of Incorporation is being submitted for stockholder approval at the Company’s 2013 Annual Stockholder meeting.

On October 28, 2013, the Board appointed Alexander Poltorak to the Company’s Board of Directors. In connection with his appointment, the Company and Mr. Poltorak entered into an Indemnification Agreement.

On November 6, 2013, the Company sold an aggregate of 304,250 shares of its newly designated Series F Preferred Stock and 48,438 shares of common stock to five accredited investors for gross proceeds to the Company of $2,235,000 pursuant to subscription agreements. The purchase price per share of Common Stock was $6.40 for $1,310,000 of such investment and $6.25 for $925,000 of such investment. No broker was utilized in connection with the sale. In accordance with the requirement of NASDAQ, each share of Series F Preferred Stock shall be entitled to .91 times the vote attributable to the shares of common stock. The Company anticipates correcting the Certificate of Designation; Rights and Preferences of the Series F Preferred Stock shall be entitled to 91% of one vote, subject to the beneficial ownership limitation covering the shares. In connection with the foregoing private placement, the Company agreed to file a “resale” registration statement with the SEC covering all shares of Common Stock and shares of Common Stock underlying the Series F Preferred Stock within 91 days of the final closing date and to maintain the effectiveness of the registration statement until all securities have been sold or are otherwise able to be sold pursuant to Rule 144. The Company has agreed to use its reasonable best efforts to have the registration statement declared effective within 180 days of the final closing.

The Company is obligated to pay to investors a fee of one (1%) per month in cash for every thirty day period up to a maximum of six (6%) percent, (i) that the registration statement has not been filed after the required filing date, and (ii) following the required date of effectiveness that the registration statement has not been declared effective; provided, however, that the Company shall not be obligated to pay any such liquidated damages if the Company is unable to fulfill its registration obligations as a result of rules, regulations, positions or releases issued or actions taken by the SEC pursuant to its authority with respect to “Rule 415”, provided the Company registers at such time the maximum number of shares of Common Stock permissible upon consultation with the staff of the SEC.

The Company also entered into a Lockup Agreement with certain investors which provides for restrictions on the resale of shares for a period of 180 days from the closing of the Private Placement held by certain investors through December 31, 2014, which in certain circumstances is subject to extension. The Lockup Agreement provides that additional 180 day restrictions shall commence without further action of the Company upon the sale of $15 million or greater gross proceeds of securities and upon a material acquisition.