fourword 1.5.2

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FourWord

A new random identifier generation method capable of chronological sorting

Overview

This is a new method for generating random identifiers. It is designed for use as primary keys in databases and similar applications.

It includes a timestamp at the beginning and uses Base32 Hex as the character set for text conversion, allowing for sorting in chronological order. Since Z is used instead of = for padding, it should be usable anywhere alphanumeric characters are supported.

To minimize the possibility of collisions while also preventing overflow, the timestamp is not fixed but occupies 1/4 of the total bit length. This means that simply increasing the total bit length increases the length of the timestamp, allowing for longer continuous usage.

However, a trade-off is that increasing the bit length results in unnecessary leading zeros in the timestamp section.

Etymology

The "Four" in the name comes from the fact that the timestamp occupies 1/4 of the bit length. It is also a play on the word "Forward."

Python Library

# Install using pip
pip3 install fourword

# Install using uv
uv pip install fourword

# Add to Project using uv
uv add fourword

from fourword.lib import FourWord

fourword = FourWord(bits=256)
print(fourword.text)
print(fourword.timestamp.isoformat())

# Show usage
fourword --help
# Generate FourWord ID with default 256 bits
fourword g
# Generate FourWord ID with custom 512 bits
fourword g --bits 512
# Generate FourWord ID and Show with details
fourword g --detail
# Decode FourWord ID and Show with details
fourword i 32OD9FEO1M8G0I7A0CMGMC599N14NJQ9SQAJPT3TRATETRAMBKTGZZZZ

You can generate and analyze FourWord using the fourword library in Python.

The Python library also includes a fourword CLI command.

Specifications

FourWord is represented as the following byte sequence (big-endian):

[ (Total bits/4) bit UNIX timestamp (UTC, ns) ] + [ (Total bits/4*3) bit CSPRNG ]

For example, when the total bit length is 256 bits, the timestamp is 64 bits and the random part is 192 bits.

The ratio is fixed so that when retrieving the timestamp from an ID, the exact length can be easily determined without needing a separator.

Unlike other methods such as UUID, FourWord does not strictly require text conversion. It supports both byte sequence and text formats.

Numericalization

Numericalization is simply a matter of interpreting the byte sequence as a binary number and converting it to decimal.

Text Conversion

Text conversion uses a variant of Base32 Hex.

As mentioned above, Z is used instead of = as the padding character, but otherwise, it is identical to Base32 Hex.

Collision Probability

IDs with different timestamps do not collide. The values below represent the worst-case scenario (all IDs generated within the same nanosecond).

Bits	Random bit width	IDs for 10⁻¹⁸ collision prob.	IDs for 10⁻⁹ collision prob.	IDs for 50% collision prob.
256	192 bit	approx 1.12 × 10²⁰	approx 3.54 × 10²⁴	approx 9.33 × 10²⁸
512	384 bit	approx 8.88 × 10⁴⁸	approx 2.81 × 10⁵³	approx 7.39 × 10⁵⁷
768	576 bit	approx 7.03 × 10⁷⁷	approx 2.22 × 10⁸²	approx 5.85 × 10⁸⁶
1024	768 bit	approx 5.57 × 10¹⁰⁶	approx 1.76 × 10¹¹¹	approx 4.64 × 10¹¹⁵
1280	960 bit	approx 4.41 × 10¹³⁵	approx 1.40 × 10¹⁴⁰	approx 3.67 × 10¹⁴⁴
1536	1152 bit	approx 3.50 × 10¹⁶⁴	approx 1.11 × 10¹⁶⁹	approx 2.91 × 10¹⁷³
1792	1344 bit	approx 2.77 × 10¹⁹³	approx 8.76 × 10¹⁹⁷	approx 2.31 × 10²⁰²
2048	1536 bit	approx 2.20 × 10²²²	approx 6.94 × 10²²⁶	approx 1.83 × 10²³¹

Overflow Timing

Each bit length will overflow at the following times:

Bits	Timestamp bit width	Max seconds	Overflow timing (approx)
256	64 bit	approx 1.84 × 10¹⁹ s	approx 584.4 billion years AD (5.845 × 10¹¹ years)
512	128 bit	approx 3.40 × 10³⁸ s	approx 1.07 × 10³¹ years later
768	192 bit	approx 6.28 × 10⁵⁷ s	approx 1.99 × 10⁵⁰ years later
1024	256 bit	approx 1.16 × 10⁷⁷ s	approx 3.67 × 10⁶⁹ years later
1280	320 bit	approx 2.14 × 10⁹⁶ s	approx 6.77 × 10⁸⁸ years later
1536	384 bit	approx 3.94 × 10¹¹⁵ s	approx 1.25 × 10¹⁰⁸ years later
1792	448 bit	approx 7.26 × 10¹³⁴ s	approx 2.30 × 10¹²⁷ years later
2048	512 bit	approx 1.34 × 10¹⁵⁴ s	approx 4.24 × 10¹⁴⁶ years later

License

The source code and library within this repository are free to use under the MIT License.

Credit is not required for software that utilizes the FourWord specification itself or for data generated using FourWord.