| Cover | Dec. 27, 2023 |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Dec. 27, 2023 |
| Entity File Number | 001-40677 |
| Entity Registrant Name | ALPHA PARTNERS TECHNOLOGY MERGER CORP. |
| Entity Central Index Key | 0001845550 |
| Entity Tax Identification Number | 98-1581691 |
| Entity Incorporation, State or Country Code | E9 |
| Entity Address, Address Line One | Empire State Building |
| Entity Address, Address Line Two | 20 West 34th Street |
| Entity Address, Address Line Three | Suite 4215 |
| Entity Address, City or Town | New York |
| Entity Address, State or Province | NY |
| Entity Address, Postal Zip Code | 10001 |
| City Area Code | 212 |
| Local Phone Number | 906-4480 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Elected Not To Use the Extended Transition Period | false |
| Class A ordinary shares included as part of the Units, par value $0.0001 per share | |
| Title of 12(b) Security | Class A ordinary shares included as part of the Units, par value $0.0001 per share |
| Trading Symbol | APTM |
| Security Exchange Name | NASDAQ |
| Redeemable warrants, each whole warrant exercisable for one Class A ordinary share at an exercise price of $11.50 | |
| Title of 12(b) Security | Redeemable warrants, each whole warrant exercisable for one Class A ordinary share at an exercise price of $11.50 |
| Trading Symbol | APTMW |
| Security Exchange Name | NASDAQ |
| Units, each consisting of one Class A ordinary share and one-third of one redeemable warrant to acquire one Class A ordinary share | |
| Title of 12(b) Security | Units, each consisting of one Class A ordinary share and one-third of one redeemable warrant to acquire one Class A ordinary share |
| Trading Symbol | APTMU |
| Security Exchange Name | NASDAQ |
