feat(psychometric): recover 2017-era active asymptotes=TRUE CINT rewrite on main

[seonghobae]

Summary

psychometric_core recovers the 2017-era active asymptotes=TRUE CINT rewrite as the scalar −a · κ on current main.

This is an independent successor of on-main asymCINT -κ / a and on-main discreteCINT / CINTstd. It does not depend on unpublished crates and is not stacked on queued #318–#348. cran/ctsem 2.5.0 summary.ctsemFit.R forms if(asymptotes==TRUE) CINT <- -DRIFT %*% CINT immediately after CINT <- mxobj$CINT$values. That rewrite is active and is in the outlist. Driver, Oud, and Voelkle (2017, Table 2, p. 12; Eq. 1, p. 4; Eq. 3, p. 5; p. 16; JSS PDF re-opened 2026-08-31T05:20Z from https://www.jstatsoft.org/index.php/jss/article/download/v077i05/1104) name κ CINT. Form a first, then negate, then multiply by κ. When asymptotes=TRUE the stored CINT is the asymptotic parameterization Table 2 names asymCINT -κ / a; multiplying by -DRIFT converts that stored value back to original κ. The companion active rewrite TIPREDEFFECT <- -DRIFT %*% TIPREDEFFECT uses the same operator on a different matrix and is not this intercept map.

A zero intercept is exactly zero even if a ≥ 0. a ≥ 0 with a nonzero intercept fails closed. Numeric: a = −0.5, κ = 0.4 recovers 0.2, distinct from unstandardised CINT (0.4), from asymCINT -κ / a (0.8), from discreteCINT at Δt = 1 (≈ 0.3148), and from CINTstd κ / √p (≈ 0.6325 when p = 0.4). Stored -κ / a = 0.8 recovers original CINT 0.4. Unstandardised CINT is not this rewrite. A non-event clock fails closed.

Meredith (1993) remains unread (Unpaywall 2026-08-31T05:10Z: is_oa: false; Springer content/pdf is an HTML stub; escholarship hits are citations). Mislevy (1991, Psychometrika, 56, 177–196, DOI 10.1007/bf02294457) remains unread on the same terms. Still not a Kalman filter, not a matrix expm, not ESEM estimation, not DSEM, and not ctsem estimation.

Verification

• cargo fmt --all
• cargo clippy -p psychometric_core --all-targets -- -D warnings
• cargo test -p psychometric_core --lib (189)
• cargo test -p psychometric_core --test multilevel_event_time_recovery_contract (108)
• cargo test -p psychometric_core --test scientific_claim_boundary_contract (53)
• RUSTDOCFLAGS='-D warnings' cargo doc -p psychometric_core --no-deps

Do not merge without independent non-author APPROVE + exact-head required-check success. Do not convert from draft. Do not self-approve.

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