ScalingStacks

Lemma 3.8 (05U0)

Source history

The permanent identity and original source provenance are retained below.

{
  "key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:9:bbox:126.72,529.38,443.423,539.611",
  "first_source_version": "math/9811037v3",
  "chapter": "work-w000062",
  "work": "W000062",
  "kind": "Lemma",
  "number": "3.8",
  "title": "Lemma 3.8 .",
  "source_version": "math/9811037v3",
  "source": {
    "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
    "page": 9,
    "bbox": [
      126.72,
      529.38,
      443.423,
      539.611
    ]
  },
  "target": "/chapters/work-w000062.html",
  "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
  "status": "active",
  "source_span_sha256": "f44d129192dace85c34b3601122973fb4b2ced0abbf51d399e5c19aa5bf379fd",
  "source_label": "lemma-l-preserves-structure",
  "source_label_occurrences": 1,
  "display_source": {
    "url": "https://arxiv.org/html/math/9811037v3",
    "sha256": "0278fe7a29d291fcbf711513ebb8f91c2e74663d596c74bef57726c82d566169",
    "element_id": "S3.SS8",
    "alignment_status": "verified_pdf_author_occurrence"
  },
  "author_source": {
    "file": "main.tex",
    "line": 1065,
    "file_sha256": "6c08cf3f6853a2c90d8dc23adcf397a8c0367e7f7dcfde71a55658c9b044f936",
    "byte_start": 45232,
    "byte_end": 45497
  },
  "identity_alignment": {
    "tag": "05U0",
    "registry_key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:9:bbox:126.72,529.38,443.423,539.611",
    "source_version": "math/9811037v3",
    "pdf_source": {
      "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
      "page": 9,
      "bbox": [
        126.72,
        529.38,
        443.423,
        539.611
      ]
    },
    "pdf_heading_sha256": "7ac5cc2c6dc1e40f6311285c4713a63dad367b09c8d753384e8c9cda952f883b",
    "author_source": {
      "file": "main.tex",
      "line": 1065,
      "file_sha256": "6c08cf3f6853a2c90d8dc23adcf397a8c0367e7f7dcfde71a55658c9b044f936",
      "byte_start": 45232,
      "byte_end": 45497
    },
    "source_span_sha256": "f44d129192dace85c34b3601122973fb4b2ced0abbf51d399e5c19aa5bf379fd",
    "display_source": {
      "url": "https://arxiv.org/html/math/9811037v3",
      "sha256": "0278fe7a29d291fcbf711513ebb8f91c2e74663d596c74bef57726c82d566169",
      "element_id": "S3.SS8",
      "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": "82d19d143b89ad9755ff98838b6164e70fa254fb94f21d054b7c0bb437b1bd2b"
  },
  "historical_entry_before_author_html_binding": {
    "key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:9:bbox:126.72,529.38,443.423,539.611",
    "first_source_version": "math/9811037v3",
    "chapter": "work-w000062",
    "work": "W000062",
    "kind": "Lemma",
    "number": "3.8",
    "title": "Lemma 3.8. Let C be a category. Then there are natural isomorphisms",
    "source_version": "math/9811037v3",
    "source": {
      "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
      "page": 9,
      "bbox": [
        126.72,
        529.38,
        443.423,
        539.611
      ]
    },
    "target": "/chapters/work-w000062.html",
    "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
    "status": "active"
  }
}