{
  "meta": {
    "note": "The feed shown on the home page and on updates.html. Newest first. Every item links to a result row or a page; a link that does not resolve fails the build. Wording rule: no 'certified' or 'proved' here (those words belong to rows whose tier allows them).",
    "as_of": "2026-11-08"
  },
  "kinds": {
    "result": "Result",
    "software": "Software",
    "teaching": "Teaching",
    "trial": "Trial",
    "paper": "Paper"
  },
  "items": [
    {
      "id": "u11",
      "date": "2026-11-08",
      "kind": "software",
      "title": "Equilibrium counts for the harmonic bodies, from the same checker",
      "text": "A second family now goes through the same cover and replay checker. At one small amplitude each, degrees 2 to 5 give (l, l, 2l-2) stable, unstable and saddle positions, the class of result C.",
      "link": "results.html#G2",
      "status": "Software, not yet released"
    },
    {
      "id": "u10",
      "date": "2026-11-08",
      "kind": "software",
      "title": "The Phase-1 count as a record anyone can replay",
      "text": "The count of one stable and one unstable position is now stored as a record of 16053 boxes that a separate short program re-evaluates in about 5 seconds.",
      "link": "results.html#G1",
      "status": "Software, not yet released"
    },
    {
      "id": "u9",
      "date": "2026-11-08",
      "kind": "software",
      "title": "A convexity check for any radial body",
      "text": "The convexity matrix is evaluated on cube-face charts and changes sign at the published thresholds for degrees 2, 3 and 4. Convexity is shown for every amplitude up to 95 percent of the threshold for degree 2.",
      "link": "results.html#G3",
      "status": "Software, not yet released"
    },
    {
      "id": "u8",
      "date": "2026-11-08",
      "kind": "software",
      "title": "A browser page that replays a record",
      "text": "A prototype page loads the checker into the browser and replays a record from a file. It says VALID for the Phase-1 count in 28.9 seconds and rejects a copy with a changed claim.",
      "link": "tools.html#verifier",
      "status": "Prototype, local only"
    },
    {
      "id": "u7",
      "date": "2026-11-08",
      "kind": "teaching",
      "title": "A classroom notebook: when plots lie",
      "text": "A notebook for students on how a picture, a scan and a replayable record can disagree about the same body, with a teacher guide and an answer key.",
      "link": "tools.html#notebook",
      "status": "Draft, not yet released"
    },
    {
      "id": "u6",
      "date": "2026-11-08",
      "kind": "trial",
      "title": "How much shape error can a printed gomboc take?",
      "text": "In mesh trials with smooth random error, most Phase-1 meshes keep one stable and one unstable position at a relative error of 1e-4 and most do not at 1e-3. Exploratory: floating point, no physical print.",
      "link": "results.html#G4",
      "status": "Exploratory"
    },
    {
      "id": "u5",
      "date": "2026-11-08",
      "kind": "trial",
      "title": "A scan reported 9 stable positions on a body that has one",
      "text": "A nearest-neighbour scan of the Phase-1 landscape changes its answer from 9 minima to 1 as the neighbourhood widens. The enclosure count does not move.",
      "link": "results.html#G5",
      "status": "Exploratory"
    },
    {
      "id": "u4",
      "date": "2026-11-07",
      "kind": "result",
      "title": "Sloan's first shape: where the stated range stops being convex",
      "text": "The first of Sloan's two shapes is not convex beyond a closed-form limit, well below the range stated for it. Convexity and a single stable position are checked below that limit.",
      "link": "results.html#D4",
      "status": "Manuscript, not yet posted"
    },
    {
      "id": "u3",
      "date": "2026-11-07",
      "kind": "result",
      "title": "Counts for the m=1 harmonics across the whole convex range",
      "text": "The equilibrium class of each m=1 harmonic body is constant over its whole convex range, for degrees 2 to 7, by interval computation.",
      "link": "results.html#C",
      "status": "Manuscript, not yet posted"
    },
    {
      "id": "u2",
      "date": "2026-11-07",
      "kind": "result",
      "title": "Sloan's second shape: a third check of the convex range",
      "text": "A third, independent computation covers the whole range up to 0.0355047718 and narrows the gap to the closed-form limit to 9.2e-11.",
      "link": "results.html#D2",
      "status": "Manuscript, not yet posted"
    },
    {
      "id": "u1",
      "date": "2026-11-07",
      "kind": "paper",
      "title": "The flagship manuscript, 19 pages",
      "text": "The paper on how close to degenerate a gomboc is now includes the tolerance study, the first shape of Sloan and the extended m=1 counts. It is not yet posted.",
      "link": "papers.html",
      "status": "Manuscript, not yet posted"
    }
  ]
}