Established in scope
Already proved: three and five are two canonical views of the same four-mark system
In the question: Origin reverse selection, field dictionary and original P1 kernel
Two canonical invariants of the given four-mark object. Not a new proof task; evaluate original field/state maps separately. This records an existing result to repair retrieval and continuity, without claiming a new scientific finding.
Read the exact result, assumptions and evidence
Result
Existing v189 and the Origin paper obtain rank H1(P1\D)=3 and h0(P1,O(D))=5 from ONE four-point divisor D=mu4 on P1. This is an established common geometrical/topological origin of both numbers, not a new hypothesis or reopened task. Retain known anchor identities and reverse selection. Every genesis continuation starts from this theorem; open further source maps do not downgrade it.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Original evidence
- v189_riemann_roch_carrier.py lines 1–29
Source checked at this snapshot
Original location and fingerprint
verification/v189_riemann_roch_carrier.py
4d84ef7b00722363f833c1e43b289b31e9d62056b78b8a70e8176db08c94602a
- 001-section-the-whole-integer-skeleton-from-one-pair-gcar-nf.tex lines 38–80
Source checked at this snapshot
Original location and fingerprint
documents/origin_theory/sections/001-section-the-whole-integer-skeleton-from-one-pair-gcar-nf.tex
a29b538e1051f3ecb4e4b2fbb149760b9f5080b1aca3c4ddd72d912c410faa07
finding:known-fourmark-system-has-three-and-five-canonical-views