Divide by BLIP duration (7.04024 s) to get blip count
Compute N = log₁₀(blip count)
Record N at 9 decimal places
const H_BLIP = 7.04024;
const GW150914_UNIX = 1442224245; // 2015-09-14T09:50:45Z
const elapsed = (Date.now() / 1000) - GW150914_UNIX;
const blips = elapsed / H_BLIP;
const N = Math.log10(blips);
// → 9 decimal places for single-blip precision at current epoch
The exponent N is the base-10 logarithm of the blip count. No additional constants are required to decode it — a receiver who knows τ(H) and the concept of base-10 logarithms reconstructs the elapsed time from the exponent alone.
Precision Tiers
Anchored at HT☉^7.68279881[GW150914] — 2026-06-13T17:00:00Z. 9 decimal places resolves to single-blip precision at current epoch. Required precision grows as log₁₀(blip count) increases — 9 decimal places remains sub-blip until approximately 2112. Rotating the signing base to a more recent GW event resets the blip count and restores precision at any given decimal depth.
Decimal places
Resolution
Use case
1
~2.3 years
Cosmological reference
3
~9 days
Document versioning
5
~2.2 hours
Event-level precision
7
~1.3 minutes
Meeting precision
8
~7.8 seconds (~1 blip)
Near-blip resolution
9
~0.8 seconds (~0.1 blip)
Single-blip resolution
Coarser tiers shift slightly as elapsed blip count grows. To recompute for a different epoch, substitute the blip count from that signing moment.
Versioning Principle
Time-dependent values are anchored to a signing epoch rather than marked as approximate or subject to drift. A value does not expire — it was precisely correct at its reference epoch and remains a precise historical record of that moment. Recomputation from any later epoch is always possible given the signing base event timestamp and the hydrogen flip period.