ScalingStacks

Proof (08XK)

Source history

Jacob Lurie

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:471:bbox:72.0,454.648,540.01,472.051",
  "first_source_version": "math/0608040v4",
  "chapter": "work-w000048",
  "work": "W000048",
  "kind": "Proof",
  "number": "",
  "title": "Proof. Let g∗: X/S →X/S′ be a pullback functor. Without loss of generality we may suppose that f ′ = g∗f.",
  "source_version": "math/0608040v4",
  "source": {
    "pdf_sha256": "417841bb623f5167145e6950d5608f69f41621735ff9a0c2e988207fa63f1544",
    "page": 471,
    "bbox": [
      72.0,
      454.648,
      540.01,
      472.051
    ]
  },
  "target": "/chapters/work-w000048.html",
  "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
  "status": "active"
}

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.