Table 9 List of symbols used throughout the Experimental results section
From: Is Bitcoin gathering dust? An analysis of low-amount Bitcoin transactions
Symbol | Description |
|---|---|
\(\mathcal {F}\) | Set of all Bitcoin transactions from January 3rd, 2009 to August 10th, 2017 |
\(\mathcal {T}\) | Transactions in \(\mathcal {F}\) that create or consume dust |
\(D_{out}\) | Set of all dust outputs in \(\mathcal {T}\) |
\(D_{in}\) | Set of all dust inputs in \(\mathcal {T}\) |
U | Unspent outputs of \(D_{out}\) |
NOD | Outputs of \(D_{out}\) spent in combination with at least one non-dust output |
OD | Outputs of \(D_{out}\) spent exclusively with other dust outputs |
\(\mathcal {T}'\) | Transactions in \(\mathcal {T}\) possibly related to dust attacks |
k(T) | Absolute number of dust outputs of transaction T |
j(T) | Relative number of dust outputs of transaction T |
\(\mathcal {T}_{sus}\) | Suspect dust-creating transactions in \(\mathcal {T}'\), issued by potential attackers |
\(\mathcal {T}_1\) | Dust-consuming transactions in \(\mathcal {T}'\) with one unique input address |
\(\mathcal {T}_{2+}\) | Dust-consuming transactions in \(\mathcal {T}'\) with at least two unique input addresses |
\(\mathcal {T}_{S}\) | Dust-consuming transactions in \(\mathcal {T}'\) where all input value is spent in fees |
\(\mathcal {T}_C\) | Dust-consuming transactions in \(\mathcal {T}'\) issued by potential victims of dust attacks |
\(\mathcal {N}_C\) | \(\mathcal {F} \setminus \mathcal {T}_{C}\), i.e., set obtained by removing all candidate dust-consuming transactions from \(\mathcal {F}\) |
\(\mathcal {N}_{2+}\) | \(\mathcal {F} \setminus \mathcal {T}_{2+}\), i.e., set obtained by removing all type 2+ transactions from \(\mathcal {F}\) |
\(\mathcal {A}\) | Set of Bitcoin addresses induced by \(\mathcal {F}\) |
P(X) | Partition of \(\mathcal {A}\) obtained by applying the clustering algorithm to X |
\(\mathit{diff} (X,Y)\) | \(P(X) \setminus P(Y)\) |