SSMDE – Minimal Compliance Surface (9.0–9.5)

The irreducible bar to honestly claim “SSMDE”

9.0 Quick Read (non-technical)

What must be present. A record must carry value (untouched truth), align (bounded trust/stress dial in (-1,+1) via clamp -> atanh -> accumulate -> tanh), and manifest_id (the frozen rulebook). Strongly recommended: band (action stance) and stamp (time+order chain).

# collapse parity (always protect the truth lane)
phi((m,a)) = m

One-line test. Strip lanes/policy and you still get exactly the original m. If not, it isn’t SSMDE.


9.1 Mandatory fields

1) value — the untouched observation
Carry exactly what happened; do not normalize/smooth and still call it value.

# examples inside value
value: { temperature_K: 296.42 }
value: { cash_collected_usd: 18420.77 }
value: { bearing_vibration_rms: 0.037 }
value: { ai_model_score: 0.912 }

2) align — bounded trust/stability dial in (-1,+1)
Computed with declared math; replayable and comparable.

# reference pipeline
a_c   := clamp(a, -1+eps_a, +1-eps_a)
u     := atanh(a_c)
U    += w*u
W    += w
align := tanh( U / max(W, eps_w) )

3) manifest_id — which rulebook was in force
Resolves thresholds, guards, weighting rule, baseline lens, gating, and validity envelope at that moment.

# non-negotiable core
record must include: value, align, manifest_id


9.2 Strongly recommended fields

4) band — the action stance
Derived from align via numeric cutpoints declared in the manifest; it drives routing, escalation, throttling, shutdown, or human-review.

# example band cutpoints (illustrative)
"GREEN" if align >= +0.5
"AMBER" if -0.2 <= align < +0.5
"RED"   if align < -0.2

5) stamp — verifiable time + order + content
Tamper-evident single line; proves when, what bytes, and sequence position.

# illustrative stamp shape
SSMCLOCK1|2025-10-31T14:05:22Z|θ=132.77|sha256=9fde1c...|prev=72af0b...


9.3 Optional extensions

Declare any extensions in the manifest so receivers interpret them correctly.

# common extensions (illustrative)
env_gate: <0..1 or (-1,+1)>     # contextual damping that modifies effective band
advisory_code: "THROTTLE_AND_WATCH"
sensor_ok: false
# multi-signal value bundles still obey:
#  - value untouched
#  - align from declared math
#  - manifest_id resolves policy


9.4 What is not required

No mandated transport, schema, broker, blockchain, or online service.

# you can implement SSMDE via:
- spreadsheets / flat-file exports
- on-prem PLC logs
- hospital consoles
- AI routing gateways
- private finance dashboards

Air-gapped and confidential environments are first-class: no phone-home.


9.5 Examples of “compliant” vs “not compliant”

Compliant (minimum core)

{
  value:       { temperature_K: 296.42 },
  align:       +0.87,
  manifest_id: "THERMAL_LINE_COOLING_PLANT_A_v7"
}

Compliant (recommended for audit-grade duty)

{
  value:       { cash_collected_usd: 18420.77 },
  align:       -0.31,
  band:        "A-",
  manifest_id: "AR_STABILITY_Q4_CLOSE_v2",
  stamp:       "SSMCLOCK1|2025-10-31T14:05:22Z|θ=044.91|sha256=ab12d4...|prev=89c2aa..."
}

Not compliant (traditional telemetry with a sticker)

{
  value:  { temperature_C: 23.27 },
  status: "OK"
}
# missing align and manifest_id; "OK" is not a declared numeric policy stance


One-line takeaway (Section 9).
To honestly claim SSMDE, you must ship value (untouched truth), align (bounded, published trust math), and manifest_id (the frozen policy). band and stamp turn the record into action + proof—essential wherever safety, money, compliance, or careers are on the line.


Navigation
Previous: SSMDE – Legal Positioning and Independence (8.0–8.5)
Next: SSMDE – Cross-Domain Proof (10.0–10.2)


Directory of Pages
SSMDE – Table of Contents


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https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Data-Exchange