Source history
Original source: arXiv:1801.00191v1
Detailed backend records are private. Public author/source status appears above.
The permanent identity and original source provenance are retained below.
{
"key": "work:W000020:pdf:df61fcd4cb97a6672338324de92557cb97a6c7003534c475f42cad9fa680ed06:page:82:bbox:85.039,609.9,426.483,623.152",
"first_source_version": "1801.00191v1",
"chapter": "work-w000020",
"work": "W000020",
"kind": "Proposition",
"number": "8.31",
"title": "Proposition 8.31. Let T ⊂SYT(n) be given. The idempotent P≤T satisfies:",
"source_version": "1801.00191v1",
"source": {
"pdf_sha256": "df61fcd4cb97a6672338324de92557cb97a6c7003534c475f42cad9fa680ed06",
"page": 82,
"bbox": [
85.039,
609.9,
426.483,
623.152
]
},
"target": "/chapters/work-w000020.html",
"identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
"status": "active"
}