NET-SEAM-013 — Truncated Moment Indeterminacy

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NET-SEAM-013SOLVER_EXECUTED · EXACT_EXECUTED_TRUNCATED_MOMENT_WITNESSNET

SOLVER EXECUTED · ZERO RESIDUAL

context
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. The problem: Truncated Moment Indeterminacy. This is the SOLVER-EXECUTED version from the Copilot Created store, superseding the earlier scan of the same job. The classical reading projects the complete object to a report — measure -> first three moments. The MuncyNautics Seam Recovery Method names the lost channels, keeps both arms, and reworks the governing equation — Recover the convex representing-measure class for the supplied moments; add higher moments or support restrictions to select a member.. Falsifier: { "test": "Reconstruct both declared reports and require zero residual while witnesses remain distinct.", "result": "PASS" }. Method: Derrick E. Muncy.
job_id
NET-SEAM-013
title
Truncated Moment Indeterminacy
source
{
  "title": "Ten Lectures on the Moment Problem",
  "url": "https://arxiv.org/pdf/2008.12698"
}
governing_formulation
m_k=integral x^k dmu, k=0,1,2
projection_operator
measure -> first three moments
witness_A
{
  "atoms": [
    "-1",
    "1"
  ],
  "weights": [
    "1/2",
    "1/2"
  ]
}
witness_B
{
  "atoms": [
    "-sqrt(2)",
    "0",
    "sqrt(2)"
  ],
  "weights": [
    "1/4",
    "1/2",
    "1/4"
  ]
}
projected_report
[
  "1",
  "0",
  "1"
]
structured_residual
[
  "0",
  "0",
  "0"
]
reworked_equation
Recover the convex representing-measure class for the supplied moments; add higher moments or support restrictions to select a member.
standing
EXACT_EXECUTED_TRUNCATED_MOMENT_WITNESS
scope
First-three-moment witness; not an infinite indeterminate Stieltjes construction.
schema
MN-RECOVERY-CERTIFICATE-1.0
author
Derrick E. Muncy
method
MuncyNautics Seam Recovery Method
precision
{
  "primary": "exact rational/symbolic arithmetic",
  "independent_check": "direct reconstruction of both projected reports"
}
correction_rule
Correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself. No raw appended constants; any finite term must be derived from the recovered channels, never fitted.
phase_retained
True
reconstruction_error
0 exact
falsifier
{
  "test": "Reconstruct both declared reports and require zero residual while witnesses remain distinct.",
  "result": "PASS"
}
promotion_authority
RED
generated_utc
2026-08-30T09:58:19.218968+00:00

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