schema_version stringclasses 1
value | id stringclasses 3
values | record_type stringclasses 1
value | config stringclasses 1
value | title stringclasses 3
values | provenance dict | geometry unknown | hodge_pair_cited dict | note stringclasses 3
values |
|---|---|---|---|---|---|---|---|---|
mirror-witness.record/0.1 | pair.quintic | mirror-pair | mirror_pairs | The quintic and its mirror | {
"created_at": "2026-08-16T21:32:14",
"creator": "Claude model instance (runtime-reported id: claude-fable-5), in session with Yu via Claude Code; runtime identity caller-reported, not authenticated",
"kind": "literature-polytope-computed-geometry",
"derivation": "Vertices are the standard anticanonical simple... | {
"vertices": [
[
1,
0,
0,
0
],
[
0,
1,
0,
0
],
[
0,
0,
1,
0
],
[
0,
0,
0,
1
],
[
-1,
-1,
-1,
-1
]
],
"computed": {
"reflexive": true,
"dual_verti... | {
"h11": 1,
"h12": 101,
"status": "cited_from_literature_not_computed"
} | 6 lattice points face 126 across the mirror; an asymmetric marriage made famous by the mirror-symmetry literature (see source-pins quintic-hodge-pair). |
mirror-witness.record/0.1 | pair.cross-cube | mirror-pair | mirror_pairs | Cross-polytope and cube | {
"created_at": "2026-08-16T21:32:14",
"creator": "Claude model instance (runtime-reported id: claude-fable-5), in session with Yu via Claude Code; runtime identity caller-reported, not authenticated",
"kind": "literature-polytope-computed-geometry",
"derivation": "The 4D cross-polytope conv{±e_i}; its computed... | {
"vertices": [
[
1,
0,
0,
0
],
[
-1,
0,
0,
0
],
[
0,
1,
0,
0
],
[
0,
-1,
0,
0
],
[
0,
0,
1,
0
],
[
0,
0,
-1,
0
],
[
... | null | 9 lattice points face 81. Platonic duality and Batyrev duality coincide here. |
mirror-witness.record/0.1 | pair.ks-self-dual | mirror-pair | mirror_pairs | A Kreuzer-Skarke polytope married to itself | {
"created_at": "2026-08-16T21:32:14",
"creator": "Claude model instance (runtime-reported id: claude-fable-5), in session with Yu via Claude Code; runtime identity caller-reported, not authenticated",
"kind": "upstream-row-computed-geometry",
"derivation": "Vertices quoted verbatim from calabi-yau-data/polytop... | {
"vertices": [
[
1,
0,
0,
0
],
[
0,
1,
0,
0
],
[
0,
1,
2,
0
],
[
0,
1,
0,
2
],
[
-2,
-5,
-4,
-2
],
[
-4,
-3,
0,
-2
]
],
"... | null | This pair's two poles are the same geometry: see self_mirror config for the certificate. |
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