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(if you have to use a remote node. Obviously, you should run your own node locally, or setup your own remote node.) Good new guide for remote nodes.

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Tx hash: 53a1bd92e7d690c79e73da6aca8666bb6380da5da9af1d2fb1e3f866f3c6dce4

Tx prefix hash: 4a83700320cb99b0dd1523b95c105b79acdbf5b751ed18e7d51f3444c4609ccc
Tx public key: b9cd35675a339e07e47e9c1cfa988e40099d1f29344755033a731926292bb9d3
Timestamp: 1606012659 Timestamp [UCT]: 2020-11-22 02:37:39 Age [y:d:h:m:s]: 00:062:14:24:40
Block: 2235808 Fee (per_kB): 0.000000000000 (0.000000000000) Tx size: 0.1123 kB
Tx version: 2 No of confirmations: 45190 RingCT/type: yes/0
Extra: 01b9cd35675a339e07e47e9c1cfa988e40099d1f29344755033a731926292bb9d3021b6d696e65786d722e636f6d17040000000000060000000000000000

1 output(s) for total of 1.301840969738 xmr

stealth address amount amount idx
00: 54475a37e4f5f573a29be1eca610f0c15f9d9ffbe73fe0e222cd4521233f4551 1.301840969738 23509473 of 0

Check which outputs belong to given Monero address/subaddress and viewkey

For RingCT transactions, outputs' amounts are also decoded
Note: address/subaddress and viewkey are sent to the server, as the calculations are done on the server side

Prove to someone that you have sent them Monero in this transaction

Tx private key can be obtained using get_tx_key command in monero-wallet-cli command line tool
Note: address/subaddress and tx private key are sent to the server, as the calculations are done on the server side

More details
source code | explorer version (api): master-2020-08-29-0965327 (1.1) | monero version: