Shunyaya Symbolic Mathematical Audit (SSM-Audit)

Audit Finance Pack (AR, Refunds, Forecast deltas), stamped logs

A conservative add-on to KPIs that shows stability without changing your numbers.

When the numbers look great right up to the cliff — can you see the cliff?
→ Yes. SSM-Audit adds a small, bounded stability lane beside every KPI you already track: x := (m,a) with a in (-1,+1) and collapse parity phi((m,a)) = m. Your reported number m stays exactly the same; the lane a emits a simple band (A++/A+/A0/A-/A--) that answers one question: how sturdy is today’s number? Dashboards stop giving false comfort: revenue can be up while stability slides from A+ -> A0 — a quiet early warning that refunds, timing, or coverage is eroding before the quarter closes.

When platform and bank totals tie out perfectly, can you still see the daily drift that predicts next month’s cash surprise?
→ Yes. Reconciliations move beyond “match / no-match.” SSM-Audit highlights day-level agreement quality between systems, so tiny timing slips and growing tails become visible long before cash tightens. Think of it as a read-only early-warning layer on top of the same ledgers: publish the lane beside m := collected/issued, add simple bands, and watch for stability debt building underneath apparently healthy ratios.

When an acquisition target’s deck sparkles, can you see the stability debt beneath the metrics before you sign?
→ Yes. Data rooms and monthly cohorts can look pristine; stability lanes reveal whether those metrics have been calm and repeatable or noisy and propped up. You still see the same headline numbers, but now you also see their day-to-day sturdiness — so pricing, covenants, and integration plans are set with eyes open.

What SSM-Audit is (in one line)
A conservative extension to finance numbers that never changes m yet shows, in one glance, how reliable each number is today.

How it lands (without disruption)

  • No rewrites. Keep m and your existing SQL, joins, and reports; just publish the lane and a band beside 3-5 KPIs (for example: AR/Collections, Refunds/Chargebacks, Forecast vs Actuals).
  • Plain labels. Executives get A++/A+/A0/A-/A--, not math. Teams act early, not loudly.
  • Stamped logs (optional). Each daily file or roll-up can carry a one-line ASCII stamp for tamper-evident replay:
    SSMCLOCK1|iso_utc|rasi_idx|theta_deg|sha256(file)|chain
    with chain_0 := "0"*64 and chain_k := sha256( ascii(chain_{k-1} + "|" + stamp_core_k) ).
  • Supplemental, non-GAAP disclosure. The lane is a bounded risk indicator beside classical KPIs; phi((m,a)) = m ensures reported magnitudes never change.
  • Privacy by design. The lane a is derived from KPI math and aggregates only; no PII is ever carried in stamps or manifests.

What to expect in two weeks

  • Same numbers, clearer truth. Fewer false alarms, calmer reviews, earlier course-corrections.
  • Risk priced better. Stability debt shows up before it hits cash.
  • Evidence you can file. A lightweight evidence pack (conformance sheet, minimal manifest, optional stamps) ready for audit.
  • Scale when ready. Start read-only; extend to more KPIs after the first visible wins.

Ease of adoption — know your stability in minutes

  • Minimal CLI, zero rewrites. Keep your KPIs exactly as-is; the CLI adds a and band beside m with collapse parity phi((m,a)) = m.
  • One command to run.
    python ssm_audit_mini_calc.py pilot.csv out.csv --build_id demo --plot_kpi Revenue_actual
    This produces an updated CSV, optional alerts, and a chart with band guides.
  • Deterministic and bounded. Order-invariant fuse a_out := tanh( (SUM w*atanh(a)) / max(SUM w, eps_w) ), hysteresis with band gates (promote if delta_a >= +0.05, demote if delta_a <= -0.05), and a manifest-backed knobs_hash for reproducibility.
  • Audit-ready by default. Optional stamped logs (SSMCLOCK1|...|sha256(file)|chain) and a conformance snippet produce an evidence pack with no PII.
  • From pilot to portfolio. Start with 3-5 KPIs; extend after visible wins. The same CLI and CSV schema scale across AR, refunds, forecast residuals, and cash schedule.

Disclaimer
Research/observation only. Not for operational, safety-critical, or legal decision-making.

Navigation
Next: 00 – SSM-Audit – CEO Primer

When the numbers look great right up to the cliff — can you see the cliff?
→ Yes. SSM-Audit adds a small, bounded stability lane beside every KPI you already track: x := (m,a) with a in (-1,+1) and collapse parity phi((m,a)) = m. Your reported number m stays exactly the same; the lane a emits a simple band (A++/A+/A0/A-/A--) that answers one question: how sturdy is today’s number? Dashboards stop giving false comfort: revenue can be up while stability slides from A+ -> A0 — a quiet early warning that refunds, timing, or coverage is eroding before the quarter closes.

When platform and bank totals tie out perfectly, can you still see the daily drift that predicts next month’s cash surprise?
→ Yes. Reconciliations move beyond “match / no-match.” SSM-Audit highlights day-level agreement quality between systems, so tiny timing slips and growing tails become visible long before cash tightens. Think of it as a read-only early-warning layer on top of the same ledgers: publish the lane beside m := collected/issued, add simple bands, and watch for stability debt building underneath apparently healthy ratios.

When an acquisition target’s deck sparkles, can you see the stability debt beneath the metrics before you sign?
→ Yes. Data rooms and monthly cohorts can look pristine; stability lanes reveal whether those metrics have been calm and repeatable or noisy and propped up. You still see the same headline numbers, but now you also see their day-to-day sturdiness — so pricing, covenants, and integration plans are set with eyes open.

What SSM-Audit is (in one line)
A conservative extension to finance numbers that never changes m yet shows, in one glance, how reliable each number is today.

How it lands (without disruption)

  • No rewrites. Keep m and your existing SQL, joins, and reports; just publish the lane and a band beside 3-5 KPIs (for example: AR/Collections, Refunds/Chargebacks, Forecast vs Actuals).
  • Plain labels. Executives get A++/A+/A0/A-/A--, not math. Teams act early, not loudly.
  • Stamped logs (optional). Each daily file or roll-up can carry a one-line ASCII stamp for tamper-evident replay:
    SSMCLOCK1|iso_utc|rasi_idx|theta_deg|sha256(file)|chain
    with chain_0 := "0"*64 and chain_k := sha256( ascii(chain_{k-1} + "|" + stamp_core_k) ).
  • Supplemental, non-GAAP disclosure. The lane is a bounded risk indicator beside classical KPIs; phi((m,a)) = m ensures reported magnitudes never change.
  • Privacy by design. The lane a is derived from KPI math and aggregates only; no PII is ever carried in stamps or manifests.

What to expect in two weeks

  • Same numbers, clearer truth. Fewer false alarms, calmer reviews, earlier course-corrections.
  • Risk priced better. Stability debt shows up before it hits cash.
  • Evidence you can file. A lightweight evidence pack (conformance sheet, minimal manifest, optional stamps) ready for audit.
  • Scale when ready. Start read-only; extend to more KPIs after the first visible wins.

Ease of adoption — know your stability in minutes

  • Minimal CLI, zero rewrites. Keep your KPIs exactly as-is; the CLI adds a and band beside m with collapse parity phi((m,a)) = m.
  • One command to run.
    python ssm_audit_mini_calc.py pilot.csv out.csv --build_id demo --plot_kpi Revenue_actual
    This produces an updated CSV, optional alerts, and a chart with band guides.
  • Deterministic and bounded. Order-invariant fuse a_out := tanh( (SUM w*atanh(a)) / max(SUM w, eps_w) ), hysteresis with band gates (promote if delta_a >= +0.05, demote if delta_a <= -0.05), and a manifest-backed knobs_hash for reproducibility.
  • Audit-ready by default. Optional stamped logs (SSMCLOCK1|...|sha256(file)|chain) and a conformance snippet produce an evidence pack with no PII.
  • From pilot to portfolio. Start with 3-5 KPIs; extend after visible wins. The same CLI and CSV schema scale across AR, refunds, forecast residuals, and cash schedule.

Navigation
Next: 00 – SSM-Audit – Executive Primer

Directory of Pages
SSM-Audit – Table of Contents

CLI 💻 — try our mini Calculator to identify the drift
(Mini CLI Download Page)

Frequently asked questions
SSM-Audit Q & A

Explore Further
https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Audit

Disclaimer
Research/observation only. Not for operational, safety-critical, or legal decision-making.

Explore the Shunyaya Framework