teal papers / BarTide collection

Freshness age

TR-PINK-F-074

MJ Physics Engineering | Bangel Language | MJos Operating System
Owned and operated by Michael Bangel | Clearwater, Florida

Updated collection edition: BarTide branding and navigation added September 26, 2026. The original paper text below retains its historical scope. Inclusion does not claim its research is implemented in BarTide.

Terminology revised · September 12 evidence

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
95
TEAL-RERUN-02-B004 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-074 / Freshness age
IF
Invoke F-074 with exactly these inputs: now: Real, observed: Real. Real values use finite decimal text; null
remains unknown.
HOW
Source expression: Age=now-observed_at. Current Bangel expression: now - observed. Require every input to
be known. Require now >= observed.
THEN
Emit the scoped calculation result. Missing inputs produce their specific PINK_MISSING_* HOLD; failed profile
checks produce PINK_DOMAIN. A false numeric predicate can occur in a PASS calculation receipt; it is not
permission.
CURRENT EVIDENCE
Fixture inputs {"now": "100", "observed": "85"}; expected 15. Result matched through Bangel, admitted JP,
the Bangel API, with validated receipt outputs. 2 missing-input cases and 0 supplied domain cases passed.
SOURCE DIMENSION
time
REMAINING REQUIREMENT
Complete the source-defined measurement/evidence contract, units and calibration bindings. Native C# and Hagar formula-ID
bindings remain unverified in this rerun.
SOURCE REFERENCES
D006 pp. 169,170; D012 pp. 53,54
Evidence: evidence/rerun/pink/F-074.json

Original references: F-074