Schedule of Warrants (Details) - USD ($)	12 Months Ended
Dec. 31, 2022	Sep. 13, 2022
Class of Warrant or Right [Line Items]
Expiration Date		Sep. 19, 2025
Number of Warrants Outstanding	$ 7,266,102
Warrant One [Member]
Class of Warrant or Right [Line Items]
Issue Date	Jan. 21, 2016
Expiration Date	Jan. 14, 2026
Number of Warrants Outstanding	$ 33,719
Exercise Price	$ 7.56
Offering	private placement offering - issued to placement agent
Warrant Two [Member]
Class of Warrant or Right [Line Items]
Issue Date	May 02, 2016
Expiration Date	May 02, 2026
Number of Warrants Outstanding	$ 21,530
Exercise Price	$ 7.56
Offering	private placement offering - issued to placement agent
Warrant Three [Member]
Class of Warrant or Right [Line Items]
Issue Date	Apr. 28, 2017
Expiration Date	Apr. 28, 2027
Number of Warrants Outstanding	$ 33,250
Exercise Price	$ 8.42
Offering	private placement offering - issued to placement agent
Warrant Four [Member]
Class of Warrant or Right [Line Items]
Issue Date	May 17, 2017
Expiration Date	May 17, 2027
Number of Warrants Outstanding	$ 15,365
Exercise Price	$ 8.42
Offering	private placement offering - issued to placement agent
Warrant Five [Member]
Class of Warrant or Right [Line Items]
Issue Date	Sep. 22, 2017
Expiration Date	Sep. 22, 2024
Number of Warrants Outstanding	$ 109,746
Exercise Price	$ 9.50
Offering	purchasers of convertible notes
Warrant Six [Member]
Class of Warrant or Right [Line Items]
Issue Date	Sep. 22, 2017
Expiration Date	Sep. 19, 2025
Number of Warrants Outstanding	$ 70,000
Exercise Price	$ 10.45
Offering	IPO - issued to underwriter
Warrant Seven [Member]
Class of Warrant or Right [Line Items]
Issue Date	Apr. 08, 2021
Expiration Date	Apr. 08, 2031
Number of Warrants Outstanding	$ 26,042
Exercise Price	$ 14.40
Offering	debt financing - issued to lender
Warrant Eight [Member]
Class of Warrant or Right [Line Items]
Issue Date	Dec. 09, 2022
Number of Warrants Outstanding	$ 6,956,450
Exercise Price	$ 8.05
Offering	securities purchase agreement - issued to institutional and other accredited investors

Class of warrant or righst date from which warrants or rights issue.

No definition available.

Name:	CELC_ClassOfWarrantOrRighstDateFromWhichWarrantsOrRightsIssue
Namespace Prefix:	CELC_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section 50
-Paragraph 3
-URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21475-112644

+ Details

Name:	us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_ClassOfWarrantOrRightLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Description of reason for issuing warrant or right.

+ References

No definition available.

+ Details

Name:	us-gaap_ClassOfWarrantOrRightReasonForIssuingToNonemployees
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Value of outstanding derivative securities that permit the holder the right to purchase securities (usually equity) from the issuer at a specified price.

+ References

No definition available.

+ Details

Name:	us-gaap_WarrantsAndRightsOutstanding
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Expiration date of outstanding warrant and right embodying unconditional obligation requiring redemption by transferring asset at specified or determinable date or upon event certain to occur, in YYYY-MM-DD format.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)
-URI https://asc.fasb.org/extlink&oid=126976982&loc=d3e19207-110258

+ Details

Name:	us-gaap_WarrantsAndRightsOutstandingMaturityDate
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantOneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantTwoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantThreeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantFourMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantFiveMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantSixMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantSevenMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=CELC_WarrantEightMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: