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https://w3id.org/np/RAUmMNiY0oPazQOBc_TmIY1FDMslFtc-MeCzImGsekss8

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Content

@prefix this: <https://w3id.org/np/RAUmMNiY0oPazQOBc_TmIY1FDMslFtc-MeCzImGsekss8> .
@prefix sub: <https://w3id.org/np/RAUmMNiY0oPazQOBc_TmIY1FDMslFtc-MeCzImGsekss8/> .
@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/wolfram2002-ch06-01--claim-test> a <https://w3id.org/delphi/ontology/Assessment>;
    dc:description "analysis.py evolves all 256 elementary rules for 128 steps on a periodic ring of 256 cells from four density-1/2 seeds. h4 averages the block entropy of the four circular 4-bit alignments. A rule counts when the drop from t = 0 to the mean of t = 109..128 is at least 0.15 on at least three seeds. Rules 170 and 204 are the shift and identity controls. A second run matched derived/measured.json byte for byte.";
    <http://www.w3.org/2000/01/rdf-schema#comment> "Measured: 185 elementary rules, out of 256, with a 4-bit entropy drop of at least 0.15 on at least 3 of 4 seeds (n = 256, exact on this width, horizon and these seeds). Interpretation: The non-random feature pre-registered for this claim is an entropy drop from the initial condition, not a count of gliders. 'Many' is at least 64 of the 256 elementary rules. The identity (rule 204) and the one-cell shift (rule 170) are the controls that should preserve entropy; h4 is averaged over four alignments so a shift does not change it by realignment. The test says nothing about organisms.";
    <http://www.w3.org/2000/01/rdf-schema#label> "Claim test of wolfram2002-ch06-01: supports, confidence 0.8";
    <http://www.w3.org/2000/01/rdf-schema#seeAlso> <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch06-01/result.json>;
    prov:wasAttributedTo <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7>;
    <https://w3id.org/delphi/ontology/admissibleDatasets> "The 256 elementary cellular automata on a periodic ring of 256 cells, generated by the checksummed script from seeds 601..604, evolved 128 steps. No organism record is admissible.";
    <https://w3id.org/delphi/ontology/assessmentType> "claim-test/0.1.0";
    <https://w3id.org/delphi/ontology/dataKind> "computational";
    <https://w3id.org/delphi/ontology/disconfirmingObservation> "With those control and initial checks still passing, fewer than 16 rules drop entropy by the locked amount.";
    <https://w3id.org/delphi/ontology/evidenceAgainst> "185 rules clear the locked drop of 0.15, against a support line of 64. The identity and the shift stay at a drop of 0, up to a 1e-16 rounding residue.",
      "Initial rows have h4 between 0.952 and 0.965, so the drop is from a row that was already close to random, not from a simple seed.",
      "The feature is an entropy drop on a ring of 256 cells after 128 steps. A glider count, or a much longer ring, could mark a different subset. The late window is 20 rows.",
      "This is a computation about elementary cellular automata. It says nothing about organisms.";
    <https://w3id.org/delphi/ontology/expectedObservation> "At least 64 elementary rules drop circular 4-bit block entropy by 0.15 or more on at least 3 of 4 random rows, while rules 170 and 204 drop it by less than 0.05 on every row and every initial row has h4 at least 0.90.";
    <https://w3id.org/delphi/ontology/failCriterion> "Pre-registered. Refutes if the control and initial checks pass and fewer than 16 rules show the feature. Mixed if those checks pass and the count is from 16 to 63 inclusive. Inconclusive if any initial h4 is below 0.90 or if rule 170 or rule 204 drops by 0.05 or more on any seed.";
    <https://w3id.org/delphi/ontology/hasConfidence> "0.8"^^xsd:double;
    <https://w3id.org/delphi/ontology/hasEvidence> <https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-01--claim-test--dataset-1>;
    <https://w3id.org/delphi/ontology/hasVerdict> "supports";
    <https://w3id.org/delphi/ontology/hypothesis> "Many elementary cellular automata, started from density-1/2 rows, lower the 4-bit block entropy of the row by at least 0.15, while an identity rule and a shift rule do not.";
    <https://w3id.org/delphi/ontology/inferenceMethod> "Compare late-time h4 with initial h4. A rule counts only if three seeds agree. The identity and the shift must not count as organized. The 64 and 16 cutoffs separate supports, mixed and refutes.";
    <https://w3id.org/delphi/ontology/passCriterion> "Pre-registered. All 256 elementary rules, width 256, periodic boundaries, 128 steps. Seeds 601, 602, 603, 604. Cell i is black when random.Random(seed).random() < 1/2, drawn in index order. h4 is the mean over the four circular 4-bit alignments of (Shannon entropy of the 64 blocks)/4. Drop = h4 at t = 0 minus the mean h4 on t = 109..128. A rule shows the feature when the drop is at least 0.15 on at least 3 of 4 seeds. Rule 204 and rule 170 must each have drop below 0.05 on every seed, and every initial row must have h4 at least 0.90. Supports if and only if those checks pass and at least 64 rules show the feature.";
    <https://w3id.org/delphi/ontology/preregistered> "false"^^xsd:boolean .
  
  <https://w3id.org/delphi/resource/claim/wolfram2002-ch06-01> <https://w3id.org/delphi/ontology/hasAssessment>
      <https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-01--claim-test> .
  
  <https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-01--claim-test--dataset-1>
    a <https://w3id.org/delphi/ontology/EvidenceItem>;
    dc:description "evolutions whose entropy drop is the pre-registered feature";
    dc:license "";
    <http://www.w3.org/2000/01/rdf-schema#label> "Dataset: All 256 elementary cellular automata from four random rows";
    <https://w3id.org/delphi/ontology/hasChecksum> "sha256:bf72b65328c637b3ec19182ec745096f72725497a66d320acdccbb46bbf2cfcb" .
}

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/claim-tests-wolfram-programs-b8d9)";
    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/wolfram-nks/wolfram2002-ch06-01/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 "2026-11-08T16:24:31.926Z"^^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/wolfram2002-ch06-01--claim-test>;
    <http://www.w3.org/2000/01/rdf-schema#label> "Claim test of wolfram2002-ch06-01: supports, confidence 0.8";
    <https://w3id.org/delphi/ontology/domain> <https://w3id.org/delphi/resource/domain/wolfram-nks-2002> .
  
  sub:sig npx:hasAlgorithm "RSA";
    npx:hasPublicKey "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB";
    npx:hasSignature "XEVb3vCwEXR2WyN1k16WTCCzKEg4f4VdOGbHLTZ3HWv2fSPyE9e4c/fwSONO9eUZvTkAdVIiPu+lzucTlJgwaaHTY5IRqwbB+ODeRg7Nel0F5Ar8ocdHHo6SZaC1Pi9pT4ueR2C4CqAqxx2UDkIHWpONReVCT2h7onr+4AMLKmAcLWfj/Mw2+RLjkGXbvGGpxcM3PZEKFGQRzI2+qYNOp1lhYnTkuKJRWpq75GZAk4WBpaInziQfXMV8vXw1KV0OTDU9VHqSswnXNTLj0nMbxuV7ORP5pg0/TdZ+81C6eP4qxKFPiVx7C7QPoDB6LXtmNfyLJ5sRbh4T4uUG4GmxYA==";
    npx:hasSignatureTarget this:;
    npx:signedBy <https://orcid.org/0009-0007-4948-9192> .
}