Source history
Original source: arXiv:2107.09590v1
Detailed backend records are private. Public author/source status appears above.
The permanent identity and original source provenance are retained below.
{
"key": "work:W000040:pdf:6548fd61f77edc14b8b7a8132f2b5c28568a38854ea3ed52bd97d99665e1d51c:page:15:bbox:81.318,357.599,231.817,367.69",
"first_source_version": "2107.09590v1",
"chapter": "work-w000040",
"work": "W000040",
"kind": "Lemma",
"number": "2.8",
"title": "Lemma 2.8. For i, j ≥0 we have",
"source_version": "2107.09590v1",
"source": {
"pdf_sha256": "6548fd61f77edc14b8b7a8132f2b5c28568a38854ea3ed52bd97d99665e1d51c",
"page": 15,
"bbox": [
81.318,
357.599,
231.817,
367.69
]
},
"target": "/chapters/work-w000040.html",
"identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
"status": "active"
}