What are Sony's published S-Log3 encode/decode formulas and code values, and how do S-Gamut3 and S-Gamut3.Cine differ in intent?

Sony's S-Log3 encodes scene-linear reflection as (420 + 261.5*log10((x+0.01)/0.19))/1023 above 0.01125 with a linear toe below; the curator's recomputation reproduces the published 10-bit codes 95/420/598 for 0/18/90 percent reflection and confirms continuity at the breakpoint. S-Log3 is full range; S-Gamut3.Cine is slightly wider than DCI-P3 and S-Gamut3 near camera native and suited to ACES and BT.2020. Numeric primaries are not in the PDF's text. Curator qualifications: Documents read 2026-10-22; formulas recomputed by the curator in Python (arithmetic only); no footage decoded. Read via an archived copy (live pro.sony 403 per producer); primaries/matrices not present in extracted text. Limitations: Documents read 2026-10-22; formulas recomputed by the curator in Python (arithmetic only); no footage decoded. Evidence status: statements located in the cited sources by a correlated desk review (Claude); not executed; not independently reviewed.

{
  "citations": [
    {
      "url": "https://web.archive.org/web/20250920170411id_/https://pro.sony/s3/cms-static-content/uploadfile/06/1237494271406.pdf",
      "note": "Sony S-Log3/S-Gamut3 technical summary (2014) via Wayback id_ capture 20250920 (gzip transfer; decompressed sha256 d9c8a042e7e9e8ee...); curator recomputation of the S-Log3 formula"
    }
  ]
}