ScalingStacks

Proof (05W0)

Source history

The permanent identity and original source provenance are retained below.

{
  "key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:27:bbox:126.72,644.128,354.494,654.091",
  "first_source_version": "math/9811037v3",
  "chapter": "work-w000062",
  "work": "W000062",
  "kind": "Proof",
  "number": "",
  "title": "Proof of ( 11.1 ).",
  "source_version": "math/9811037v3",
  "source": {
    "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
    "page": 27,
    "bbox": [
      126.72,
      644.128,
      354.494,
      654.091
    ]
  },
  "target": "/chapters/work-w000062.html",
  "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
  "status": "active",
  "source_span_sha256": "c21a49be26c1a4121ca3b87aabb8fbea516911be3bfc4d69942935d9955f1ecb",
  "source_label": null,
  "source_label_occurrences": 0,
  "display_source": {
    "url": "https://arxiv.org/html/math/9811037v3",
    "sha256": "0278fe7a29d291fcbf711513ebb8f91c2e74663d596c74bef57726c82d566169",
    "element_id": "S11.SS7.3",
    "alignment_status": "verified_pdf_author_occurrence"
  },
  "author_source": {
    "file": "main.tex",
    "line": 2659,
    "file_sha256": "6c08cf3f6853a2c90d8dc23adcf397a8c0367e7f7dcfde71a55658c9b044f936",
    "byte_start": 109236,
    "byte_end": 110252
  },
  "identity_alignment": {
    "tag": "05W0",
    "registry_key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:27:bbox:126.72,644.128,354.494,654.091",
    "source_version": "math/9811037v3",
    "pdf_source": {
      "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
      "page": 27,
      "bbox": [
        126.72,
        644.128,
        354.494,
        654.091
      ]
    },
    "pdf_heading_sha256": "81cb098fae0d8d8dd924ff8cde90751918c88d047fa4b6d35275e67f80b41ba5",
    "author_source": {
      "file": "main.tex",
      "line": 2659,
      "file_sha256": "6c08cf3f6853a2c90d8dc23adcf397a8c0367e7f7dcfde71a55658c9b044f936",
      "byte_start": 109236,
      "byte_end": 110252
    },
    "source_span_sha256": "c21a49be26c1a4121ca3b87aabb8fbea516911be3bfc4d69942935d9955f1ecb",
    "display_source": {
      "url": "https://arxiv.org/html/math/9811037v3",
      "sha256": "0278fe7a29d291fcbf711513ebb8f91c2e74663d596c74bef57726c82d566169",
      "element_id": "S11.SS7.3",
      "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": "06ac66e1c9cbac94d25d4a3d926d3cfb48869f01747f4c6b7214787e1c4b0012"
  },
  "historical_entry_before_author_html_binding": {
    "key": "work:W000062:pdf:67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6:page:27:bbox:126.72,644.128,354.494,654.091",
    "first_source_version": "math/9811037v3",
    "chapter": "work-w000062",
    "work": "W000062",
    "kind": "Proof",
    "number": "",
    "title": "Proof of (11.1). It is clear that for k ≥3 every map",
    "source_version": "math/9811037v3",
    "source": {
      "pdf_sha256": "67ad8eef47b7aba409bbcc80c59d5e34d0a3978869cfbafc1e39eba6f05049c6",
      "page": 27,
      "bbox": [
        126.72,
        644.128,
        354.494,
        654.091
      ]
    },
    "target": "/chapters/work-w000062.html",
    "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
    "status": "active"
  }
}