Source history
Original source: arXiv:math/0608040v4
Detailed backend records are private. Public author/source status appears above.
The permanent identity and original source provenance are retained below.
{
"key": "work:W000048:pdf:417841bb623f5167145e6950d5608f69f41621735ff9a0c2e988207fa63f1544:page:461:bbox:72.0,203.968,499.046,217.53",
"first_source_version": "math/0608040v4",
"chapter": "work-w000048",
"work": "W000048",
"kind": "Proof",
"number": "",
"title": "Proof. Let S′ be the set of all morphisms f in X with the property that for any pullback diagram",
"source_version": "math/0608040v4",
"source": {
"pdf_sha256": "417841bb623f5167145e6950d5608f69f41621735ff9a0c2e988207fa63f1544",
"page": 461,
"bbox": [
72.0,
203.968,
499.046,
217.53
]
},
"target": "/chapters/work-w000048.html",
"identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
"status": "active"
}