Source history
Original source: arXiv:1009.5025v3
Detailed backend records are private. Public author/source status appears above.
The permanent identity and original source provenance are retained below.
{
"key": "work:W000057:pdf:2a25ad599108346a0833d4f0678b1a57e12e454eff28ad5fae68db31dca0dc11:page:63:bbox:72.0,487.127,541.173,507.762",
"first_source_version": "1009.5025v3",
"chapter": "work-w000057",
"work": "W000057",
"kind": "Lemma",
"number": "6.4.4",
"title": "Lemma 6.4.4 (Boundary from domain and range). Let H = M1 ∪E M2, where H is a marked k−1-",
"source_version": "1009.5025v3",
"source": {
"pdf_sha256": "2a25ad599108346a0833d4f0678b1a57e12e454eff28ad5fae68db31dca0dc11",
"page": 63,
"bbox": [
72.0,
487.127,
541.173,
507.762
]
},
"target": "/chapters/work-w000057.html",
"identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
"status": "active"
}