ScalingStacks

Proof (05U7)

Source history

The permanent identity and original source provenance are retained below.

{
  "key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:10:bbox:126.72,496.168,485.318,506.131",
  "first_source_version": "math/9811037v3",
  "chapter": "work-w000062",
  "work": "W000062",
  "kind": "Proof",
  "number": "",
  "title": "Proof.",
  "source_version": "math/9811037v3",
  "source": {
    "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
    "page": 10,
    "bbox": [
      126.72,
      496.168,
      485.318,
      506.131
    ]
  },
  "target": "/chapters/work-w000062.html",
  "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
  "status": "active",
  "source_span_sha256": "0f944cb3aa2b22ee299edb8807c2b6846314bc58b87849389635838fcb712ed6",
  "source_label": null,
  "source_label_occurrences": 0,
  "display_source": {
    "url": "https://arxiv.org/html/math/9811037v3",
    "sha256": "0278fe7a29d291fcbf711513ebb8f91c2e74663d596c74bef57726c82d566169",
    "element_id": "S3.SS10.2",
    "alignment_status": "verified_pdf_author_occurrence"
  },
  "author_source": {
    "file": "main.tex",
    "line": 1138,
    "file_sha256": "6c08cf3f6853a2c90d8dc23adcf397a8c0367e7f7dcfde71a55658c9b044f936",
    "byte_start": 48218,
    "byte_end": 48459
  },
  "identity_alignment": {
    "tag": "05U7",
    "registry_key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:10:bbox:126.72,496.168,485.318,506.131",
    "source_version": "math/9811037v3",
    "pdf_source": {
      "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
      "page": 10,
      "bbox": [
        126.72,
        496.168,
        485.318,
        506.131
      ]
    },
    "pdf_heading_sha256": "a7d1d0b735a7a4c6d084bf79695a1f855bd32b7a3519415dcc5815af47ab68c2",
    "author_source": {
      "file": "main.tex",
      "line": 1138,
      "file_sha256": "6c08cf3f6853a2c90d8dc23adcf397a8c0367e7f7dcfde71a55658c9b044f936",
      "byte_start": 48218,
      "byte_end": 48459
    },
    "source_span_sha256": "0f944cb3aa2b22ee299edb8807c2b6846314bc58b87849389635838fcb712ed6",
    "display_source": {
      "url": "https://arxiv.org/html/math/9811037v3",
      "sha256": "0278fe7a29d291fcbf711513ebb8f91c2e74663d596c74bef57726c82d566169",
      "element_id": "S3.SS10.2",
      "alignment_status": "verified_pdf_author_occurrence"
    },
    "basis": "unique_ordered_pinned_pdf_heading_body_prefix",
    "prefix_adapter": {
      "normalization": "unicode_nfkc_ascii_alphanumeric_prefix",
      "omitted_reference_kinds": []
    },
    "normalized_pdf_prefix_sha256": "13a1efed32721933df6f2b403ea199b2dd5c20adb60ac6a29e3bf2fa87239e67"
  },
  "historical_entry_before_author_html_binding": {
    "key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:10:bbox:126.72,496.168,485.318,506.131",
    "first_source_version": "math/9811037v3",
    "chapter": "work-w000062",
    "work": "W000062",
    "kind": "Proof",
    "number": "",
    "title": "Proof. For any pair (D, W) of category D and subcategory W, we have that",
    "source_version": "math/9811037v3",
    "source": {
      "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
      "page": 10,
      "bbox": [
        126.72,
        496.168,
        485.318,
        506.131
      ]
    },
    "target": "/chapters/work-w000062.html",
    "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
    "status": "active"
  }
}