Step 1: Understanding the context.
"Hakor Bisingni Nokharbaisidi" was published in the year 2001, marking an important moment in regional literature.
Step 2: Analyzing the options.
- (1) 2000: Incorrect, this is not the year of publication.
- (2) 2003: This is not the correct publication year for the work.
- (3) 2001: Correct, this is the year when the work was published.
- (4) 2004: Not the correct year.
Step 3: Conclusion.
Thus, the correct answer is 2001.