ScalingStacks

Proof (05ZR)

Source history

The permanent identity and original source provenance are retained below.

{
  "key": "work:W000073:pdf:c494e1164ac34288487c5aa3f415b60a3b55c8ae15fa9042399290e39eba9b06:page:40:bbox:91.8,95.306,451.32,108.183",
  "first_source_version": "1808.06006v3",
  "chapter": "work-w000073",
  "work": "W000073",
  "kind": "Proof",
  "number": "",
  "title": "Proof.",
  "source_version": "1808.06006v3",
  "source": {
    "pdf_sha256": "c494e1164ac34288487c5aa3f415b60a3b55c8ae15fa9042399290e39eba9b06",
    "page": 40,
    "bbox": [
      91.8,
      95.306,
      451.32,
      108.183
    ]
  },
  "target": "/chapters/work-w000073.html",
  "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
  "status": "active",
  "source_span_sha256": "143bb0fc1f4de017062b8cc0ce5d0bc9a92d34d7ec078378c302eca013e2e79d",
  "source_label": null,
  "source_label_occurrences": 0,
  "display_source": {
    "url": "https://arxiv.org/html/1808.06006v3",
    "sha256": "8480c9c4bcdc3dd2f8ddbed3ce0aba09d35adbf351007a570f33289dfc71c06a",
    "element_id": "S5.SS3.4",
    "alignment_status": "verified_pdf_author_occurrence"
  },
  "author_source": {
    "file": "EH.tex",
    "line": 2693,
    "file_sha256": "0e96920f6475a21a4d1546a9f8c851044a6c1ccdb0db2bf84f720fd831c9ecfa",
    "byte_start": 141806,
    "byte_end": 142240
  },
  "identity_alignment": {
    "tag": "05ZR",
    "registry_key": "work:W000073:pdf:c494e1164ac34288487c5aa3f415b60a3b55c8ae15fa9042399290e39eba9b06:page:40:bbox:91.8,95.306,451.32,108.183",
    "source_version": "1808.06006v3",
    "pdf_source": {
      "pdf_sha256": "c494e1164ac34288487c5aa3f415b60a3b55c8ae15fa9042399290e39eba9b06",
      "page": 40,
      "bbox": [
        91.8,
        95.306,
        451.32,
        108.183
      ]
    },
    "pdf_heading_sha256": "6ebe7dddd9a208ed2da008b833e2602ffc212fb4fe85e5b90371afc451d0f918",
    "author_source": {
      "file": "EH.tex",
      "line": 2693,
      "file_sha256": "0e96920f6475a21a4d1546a9f8c851044a6c1ccdb0db2bf84f720fd831c9ecfa",
      "byte_start": 141806,
      "byte_end": 142240
    },
    "source_span_sha256": "143bb0fc1f4de017062b8cc0ce5d0bc9a92d34d7ec078378c302eca013e2e79d",
    "display_source": {
      "url": "https://arxiv.org/html/1808.06006v3",
      "sha256": "8480c9c4bcdc3dd2f8ddbed3ce0aba09d35adbf351007a570f33289dfc71c06a",
      "element_id": "S5.SS3.4",
      "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": [
        {
          "kind": "Remark",
          "number": "3.2.3",
          "html_href": "#S3.SS2.Thmthm3"
        }
      ]
    },
    "normalized_pdf_prefix_sha256": "1639b0cb5cc7709ee44cc96fff88d6b449c3313a38504d0b1a5232489fbb3f79"
  },
  "historical_entry_before_author_html_binding": {
    "key": "work:W000073:pdf:c494e1164ac34288487c5aa3f415b60a3b55c8ae15fa9042399290e39eba9b06:page:40:bbox:91.8,95.306,451.32,108.183",
    "first_source_version": "1808.06006v3",
    "chapter": "work-w000073",
    "work": "W000073",
    "kind": "Proof",
    "number": "",
    "title": "Proof. If P ̸≃E0, then, by Remark 3.2.3, P is d-connected for some d ≥−1.",
    "source_version": "1808.06006v3",
    "source": {
      "pdf_sha256": "c494e1164ac34288487c5aa3f415b60a3b55c8ae15fa9042399290e39eba9b06",
      "page": 40,
      "bbox": [
        91.8,
        95.306,
        451.32,
        108.183
      ]
    },
    "target": "/chapters/work-w000073.html",
    "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
    "status": "active"
  }
}