A.1 · The birth window per chain and per run (in BC)
chain
run A (freestanding)
run B-consistent
run B-strict (withdrawn)
C
8, 7, 6, 5, 4
6, 5, 4
5, 4
SY
5, 4, 3, 2, 1
5, 4, 3, 2, 1
5, 4, 3, 2, 1
CA
8, 7, 6, 5, 4
6, 5, 4
5, 4
HV
8, 7, 6, 5, 4
6, 5, 4
5, 4
The three 4/3 chains (C, CA, HV) share one window; SY (year of death 1 BC) is shifted three years. Run B-strict is the withdrawn run: there G-3 carried Hoehner's baptism-AD-29 floor "birth year ≤ 5", baptism-AD-29-specific and applied to a run that inputs baptism 27. Run B-consistent drops that floor.
A.2 · The four degrees of freedom per chain
chain
investiture
capture
counting rule
year-beginning
year of death
C (Schürer/SVM; HV on these four)
40 BC
37 BC
inclusive
Nisan
4/3 BC
SY (Steinmann & Young)
39
36
non-inclusive¹
Tishri
January 1 BC
CA (Cameron 2018)
40/39
37
antedating
Nisan, varying
4/3 → winter 3/2
¹ "except when an ordinal number is used".
A.3 · The eight knob combinations (machine-computed)
Of the eight combinations of investiture year, counting rule and year-beginning, exactly two reach January 1 BC (both investiture 39 + non-inclusive; year-beginning indifferent), exactly one reaches the spring of 4 BC (40 + inclusive + Nisan), one more (40 + inclusive + Tishri) is the winter branch 4/3, and the remaining four land in 3 or 2 BC, where the eclipse kills them. The consensus cell stands at one of eight, the SY cell at two.
A.4 · The cost accounting (chain profiles over 20 data)
chain
year of death
rejections (V)
emendations (E)
postulates (P)
hard cost (V+E)
C
4/3 BC
0
0
2
0
CA
4/3 → 3/2 BC
1
0
0
1
SY
1 BC
3
0
8
3
On the year-of-death side HV shares C's profile (0 V, 0 E) and on top of that carries on the baptism axis two counting knobs of its own (autumn-inclusive Tiberius reckoning; shemitah), both postulates, no rejections.
A.5 · The rubric legend
L read (plainly) · T count (by declared counting convention) · P postulate · V reject (declare the datum erroneous) · E emend (against the manuscripts) · U unresolved anomaly. Hard cost = V + E.
The machine-readable base tables and the code of the logigram are deposited at https://doi.org/10.5281/zenodo.22944959.
A.1 · The birth window per chain and per run (in BC)
The three 4/3 chains (C, CA, HV) share one window; SY (year of death 1 BC) is shifted three years. Run B-strict is the withdrawn run: there G-3 carried Hoehner's baptism-AD-29 floor "birth year ≤ 5", baptism-AD-29-specific and applied to a run that inputs baptism 27. Run B-consistent drops that floor.
A.2 · The four degrees of freedom per chain
¹ "except when an ordinal number is used".
A.3 · The eight knob combinations (machine-computed)
Of the eight combinations of investiture year, counting rule and year-beginning, exactly two reach January 1 BC (both investiture 39 + non-inclusive; year-beginning indifferent), exactly one reaches the spring of 4 BC (40 + inclusive + Nisan), one more (40 + inclusive + Tishri) is the winter branch 4/3, and the remaining four land in 3 or 2 BC, where the eclipse kills them. The consensus cell stands at one of eight, the SY cell at two.
A.4 · The cost accounting (chain profiles over 20 data)
On the year-of-death side HV shares C's profile (0 V, 0 E) and on top of that carries on the baptism axis two counting knobs of its own (autumn-inclusive Tiberius reckoning; shemitah), both postulates, no rejections.
A.5 · The rubric legend
L read (plainly) · T count (by declared counting convention) · P postulate · V reject (declare the datum erroneous) · E emend (against the manuscripts) · U unresolved anomaly. Hard cost = V + E.