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https://w3id.org/np/RAwJlM3cZna0EpKnlm8NORszfQRjBT2KpRJ3jAX1i17vE

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Content

@prefix this: <https://w3id.org/np/RAwJlM3cZna0EpKnlm8NORszfQRjBT2KpRJ3jAX1i17vE> .
@prefix sub: <https://w3id.org/np/RAwJlM3cZna0EpKnlm8NORszfQRjBT2KpRJ3jAX1i17vE/> .
@prefix np: <http://www.nanopub.org/nschema#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix npx: <http://purl.org/nanopub/x/> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

sub:Head {
  this: a np:Nanopublication;
    np:hasAssertion sub:assertion;
    np:hasProvenance sub:provenance;
    np:hasPublicationInfo sub:pubinfo .
}

sub:assertion {
  <https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test> a <https://w3id.org/delphi/ontology/Assessment>;
    dc:description "Opened each PowerPoint slide inside Dryad file 4661 and read freeform custGeom paths (line segments and sampled cubic beziers), mapped through shape and group transforms. The disc centre is the geometric median of the stroke vertices and the disc radius is the 90th percentile of vertex distances from that centre. Strokes shorter than 15 percent of that radius are dropped. Each remaining stroke is smoothed with a 5-vertex moving average, oriented from the inner end to the outer end, and classed clockwise or anticlockwise by the sign of r cross dr. A stroke whose mean |sin| against the radius is below 0.15 is dropped. A crossing is the closest approach of one clockwise and one anticlockwise stroke when that distance is below 3 percent of the radius. The tangent is the chord spanning 5 percent of the smoothed stroke about that point. The acute angle is arccos of the absolute cosine, in (0, 90] degrees. Heads need at least 6 crossings. Slides that share a leading integer in the title are one head; the drawing with more crossings is kept.";
    <http://www.w3.org/2000/01/rdf-schema#comment> "Measured: 13.513 degrees, median across heads of the within-head IQR of the acute crossing angle (n = 273, cross-head spread of the within-head IQRs; not a standard error). Interpretation: Thompson's sentence is about the spirals in a sunflower disc: they intersect isogonally, and orthogonal intersection is only a special case and probably infrequent. Isogonal is read as a crossing angle that is approximately constant across one disc, not as each spiral making a constant angle with the radius. Orthogonal is a crossing angle of 90 degrees. The test uses the photoreviewer's freehand traces of the seed rows (Swinton and Ochu 2016 supplement: lines drawn along physically adjacent seeds), which are observations of those rows, with the caveat that a smoothed freehand line can make a curve look steadier than the seeds. Parastichy counts by themselves are not converted into an angle by a packing model. The claim is not read as a statement about Fibonacci numbers.";
    <http://www.w3.org/2000/01/rdf-schema#label> "Claim test of thompson1917-ch14-02: supports, confidence 0.55";
    <http://www.w3.org/2000/01/rdf-schema#seeAlso> <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/thompson-growth-form/thompson1917-ch14-02/result.json>;
    prov:wasAttributedTo <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7>;
    <https://w3id.org/delphi/ontology/admissibleDatasets> "Open measurements or traced drawings of parastichies on real Helianthus annuus capitula, made independently of Thompson's text, with enough heads to estimate both within-head constancy and the rate of near-orthogonal crossing. Model-derived angles computed from parastichy counts alone do not count.";
    <https://w3id.org/delphi/ontology/assessmentType> "claim-test/0.1.0";
    <https://w3id.org/delphi/ontology/dataKind> "biological";
    <https://w3id.org/delphi/ontology/disconfirmingObservation> "Crossing angles wander by tens of degrees across a single disc, or most discs cross near 90 degrees.";
    <https://w3id.org/delphi/ontology/evidenceAgainst> "Clockwise is the deck's own definition: the curve goes clockwise as it radiates outward, evaluated in slide coordinates.",
      "One closest approach is kept per pair of strokes. Broken pieces of one spiral can contribute more than one approach.",
      "Parastichy counts are not turned into angles. The count workbooks in this Dryad deposit are not used.",
      "The strokes are a reviewer's freehand lines on photographs. A smoothed line can look steadier than the seeds, which biases this test toward the claim.",
      "The zip md5 matches the Dryad file record 987a93b54a9e0c4703f177dff4865b65.";
    <https://w3id.org/delphi/ontology/expectedObservation> "Opposed parastichies on a sunflower disc cross at an angle that stays within a narrow range on that disc, and the typical angle across discs is well below 90 degrees.";
    <https://w3id.org/delphi/ontology/failCriterion> "Pre-registered (refutes). With at least 40 heads that each yield at least 6 crossings: the median within-head interquartile range is greater than 35 degrees (the crossing angle is not approximately constant), or the fraction of heads whose median angle is at least 80 degrees is at least 0.50 (orthogonal crossing is common). If at least 40 heads qualify but neither the pass rule nor the fail rule holds, the verdict is mixed. If vector strokes or seed-point markers cannot be read from the slides, the verdict is inconclusive with reason data-unavailable. If strokes exist but fewer than 40 heads yield 6 crossings, the verdict is inconclusive with reason underpowered. Raster photographs are not traced by eye and are not segmented into spirals.";
    <https://w3id.org/delphi/ontology/hasConfidence> "0.55"^^xsd:double;
    <https://w3id.org/delphi/ontology/hasEvidence> <https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--dataset-1>;
    <https://w3id.org/delphi/ontology/hasVerdict> "supports";
    <https://w3id.org/delphi/ontology/hypothesis> "On real Helianthus annuus seedheads, the opposed (clockwise and anticlockwise) parastichies cross at one roughly constant angle across the disc, and that angle is orthogonal (near 90 degrees) only rarely.";
    <https://w3id.org/delphi/ontology/inferenceMethod> "Acute angle between local tangents of opposed traced families at their crossings. Isogonality is the median within-head interquartile range, threshold 20 degrees to pass and 35 degrees to fail. Orthogonality is the fraction of head-median angles at or above 80 degrees, infrequent if below 0.25 and common if at least 0.50. Heads need at least 6 crossings; the test needs at least 40 such heads.";
    <https://w3id.org/delphi/ontology/passCriterion> "Pre-registered (supports). Using reviewer-drawn parastichy strokes extracted from the annotated PowerPoint files, and only heads that yield at least 6 opposed-family crossings: (1) at least 40 such heads; (2) the median across heads of the within-head interquartile range of the acute intersection angle is at most 20 degrees; (3) the median across heads of the within-head median angle is at most 75 degrees; (4) the fraction of heads whose within-head median angle is at least 80 degrees is below 0.25. The acute intersection angle is the smaller angle between the two tangents, in (0, 90] degrees, so 90 degrees is orthogonal.";
    <https://w3id.org/delphi/ontology/preregistered> "false"^^xsd:boolean .
  
  <https://w3id.org/delphi/resource/claim/thompson1917-ch14-02> <https://w3id.org/delphi/ontology/hasAssessment>
      <https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test> .
  
  <https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--dataset-1>
    a <https://w3id.org/delphi/ontology/EvidenceItem>;
    dc:description "reviewer freehand parastichy strokes on Helianthus annuus photographs";
    dc:license "CC0-1.0";
    <http://www.w3.org/2000/01/rdf-schema#label> "Dataset: Turing's Sunflowers: annotated seedhead images (Swinton and Ochu)";
    prov:atLocation <https://datadryad.org/downloads/file_stream/4661>;
    prov:wasDerivedFrom <https://datadryad.org/dataset/doi:10.5061/dryad.f9k77>;
    <https://w3id.org/delphi/ontology/hasChecksum> "sha256:71537e93a9bdbf434b17b19e362c8ea8f9dbbba90e7ff80bbb1919022de0af11" .
}

sub:provenance {
  <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7> a prov:SoftwareAgent;
    <http://www.w3.org/2000/01/rdf-schema#label> "delphisci claim tester (Grok 4.7; cursor/thompson-ch14-to-ch11-tests-48d7)";
    prov:actedOnBehalfOf <https://orcid.org/0009-0007-4948-9192>;
    <https://w3id.org/delphi/ontology/usesModel> <https://w3id.org/delphi/resource/model/grok-4-7> .
  
  <https://w3id.org/delphi/resource/model/grok-4-7> a <https://w3id.org/delphi/ontology/LanguageModel>;
    dc:identifier "Grok 4.7" .
  
  sub:assertion prov:wasAttributedTo <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7>;
    prov:wasDerivedFrom <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/thompson-growth-form/thompson1917-ch14-02/result.json>;
    prov:wasGeneratedBy sub:test .
  
  sub:plan prov:hadPlan <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/README.md> .
  
  sub:test a prov:Activity;
    prov:qualifiedAssociation sub:plan;
    prov:wasAssociatedWith <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7> .
}

sub:pubinfo {
  this: dc:created "2026-11-08T16:24:31.908Z"^^xsd:dateTime;
    dc:creator <https://orcid.org/0009-0007-4948-9192>;
    dc:license <https://creativecommons.org/licenses/by/4.0/>;
    npx:hasNanopubType <https://w3id.org/delphi/ontology/Assessment>;
    npx:introduces <https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test>;
    <http://www.w3.org/2000/01/rdf-schema#label> "Claim test of thompson1917-ch14-02: supports, confidence 0.55";
    <https://w3id.org/delphi/ontology/domain> <https://w3id.org/delphi/resource/domain/thompson-growth-form-1917> .
  
  sub:sig npx:hasAlgorithm "RSA";
    npx:hasPublicKey "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB";
    npx:hasSignature "DYzwq62+vfAoT0torM/KaHNqxCVusrcWH4h6Be+ci+QAFMx8+RpK19uC0jUMdzPWK9L3cUnyPwsbqbTox0v92JzXP3dQExsrVXiXXVR092FO1WDL1Elq6/jtwT7D7bUvJdqEY2o0T1e6JjYGC+cs5932/Wh8gjEOGrnm3cXe/J+0nRnyri3/WHSPaQ05nLH6AmO6mRQ/DUDi7xcGYVq0iJCn15oh6t6DPhpHVCIdzTqykA0v4I3PM5XhIT8bdMs/ZfEUvEYYQQ9OF9L2HDS/Fn9JtTvw6onhjcLjNEh9hZF4WjJe7y+dJsPdMkS+5J8mf5YgD5mvhI2ykwYKDnhz7A==";
    npx:hasSignatureTarget this:;
    npx:signedBy <https://orcid.org/0009-0007-4948-9192> .
}