rows { options { physical_type: PHYSICAL_STREAM_TYPE_QUADS max_name_table_size: 128 max_prefix_table_size: 16 max_datatype_table_size: 16 logical_type: LOGICAL_STREAM_TYPE_DATASETS version: 2 } } rows { prefix { value: "https://w3id.org/np/" } } rows { name { value: "RAOj3hvwtwQvXTTsQRddQuPCQygupQH2LP29_wwW5rfLc" } } rows { namespace { name: "this" value { prefix_id: 1 } } } rows { prefix { value: "https://w3id.org/np/RAOj3hvwtwQvXTTsQRddQuPCQygupQH2LP29_wwW5rfLc/" } } rows { name { } } rows { namespace { name: "sub" value { prefix_id: 2 } } } rows { prefix { value: "http://www.nanopub.org/nschema#" } } rows { namespace { name: "np" value { prefix_id: 3 name_id: 2 } } } rows { prefix { value: "http://www.w3.org/1999/02/22-rdf-syntax-ns#" } } rows { namespace { name: "rdf" value { prefix_id: 4 name_id: 2 } } } rows { prefix { value: "http://www.w3.org/ns/prov#" } } rows { namespace { name: "prov" value { prefix_id: 5 name_id: 2 } } } rows { prefix { value: "http://purl.org/nanopub/x/" } } rows { namespace { name: "npx" value { prefix_id: 6 name_id: 2 } } } rows { prefix { value: "http://purl.org/dc/terms/" } } rows { namespace { name: "dc" value { prefix_id: 7 name_id: 2 } } } rows { prefix { value: "http://www.w3.org/2001/XMLSchema#" } } rows { namespace { name: "xsd" value { prefix_id: 8 name_id: 2 } } } rows { name { value: "hasAssertion" } } rows { name { value: "assertion" } } rows { name { value: "Head" } } rows { quad { s_iri { prefix_id: 1 name_id: 1 } p_iri { prefix_id: 3 name_id: 3 } o_iri { prefix_id: 2 } g_iri { } } } rows { name { value: "hasProvenance" } } rows { name { value: "provenance" } } rows { quad { p_iri { prefix_id: 3 } o_iri { prefix_id: 2 } } } rows { name { value: "hasPublicationInfo" } } rows { name { value: "pubinfo" } } rows { quad { p_iri { prefix_id: 3 } o_iri { prefix_id: 2 } } } rows { name { value: "type" } } rows { name { value: "Nanopublication" } } rows { quad { p_iri { prefix_id: 4 } o_iri { prefix_id: 3 } } } rows { prefix { value: "https://w3id.org/delphi/resource/assessment/" } } rows { name { value: "wolfram2002-ch04-20--claim-test" } } rows { name { value: "description" } } rows { quad { s_iri { prefix_id: 9 } p_iri { prefix_id: 7 } o_literal { lex: "analysis.py iterates the fractional part of 3x/2 from 1/2 for 4096 steps with reduced integer fractions, records the half-itinerary, and computes h4, lag-1 autocorrelation, state repetition and itinerary periods through 32. The same itinerary entropy is computed for the doubling map from 1/3 and for 4096 bits from random.Random(20261102). A 16-bin chi-square is stored and is not an input to the verdict. A second run matched derived/measured.json byte for byte." } g_iri { prefix_id: 2 name_id: 4 } } } rows { prefix { value: "https://w3id.org/delphi/ontology/" } } rows { name { value: "Assessment" } } rows { quad { p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 10 name_id: 14 } } } rows { prefix { value: "http://www.w3.org/2000/01/rdf-schema#" } } rows { name { value: "comment" } } rows { quad { p_iri { prefix_id: 11 } o_literal { lex: "Measured: 0.8277801256315166 normalized 4-bit block entropy h4 of the 4096-step half-itinerary of {3x/2} from 1/2 (n = 1024, exact orbit; plugin Shannon entropy on this window). Interpretation: The map named in the claim is x -> fractional part of 3x/2, and the simple seed is 1/2. \'Looks random\' is read as a high 4-bit block entropy, a small lag-1 correlation, and the absence of a state cycle or an itinerary period of 32 or less inside 4096 steps. It is not read as equidistribution for Lebesgue measure: the beta transformation with multiplier 3/2 need not have a flat invariant density, so the 16-bin chi-square is recorded and does not decide the verdict. The control is the shift map, which the surrounding text says only transcribes digits, here started at the periodic seed 1/3. The computation does not say that organisms behave this way." } } } rows { name { value: "label" } } rows { quad { p_iri { } o_literal { lex: "Claim test of wolfram2002-ch04-20: mixed, confidence 0.7" } } } rows { name { value: "seeAlso" } } rows { prefix { value: "https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch04-20/" } } rows { name { value: "result.json" } } rows { quad { p_iri { } o_iri { prefix_id: 12 } } } rows { name { value: "wasAttributedTo" } } rows { prefix { value: "https://w3id.org/delphi/resource/agent/" } } rows { name { value: "delphisci-claim-tester-grok-4-7" } } rows { quad { p_iri { prefix_id: 5 } o_iri { prefix_id: 13 } } } rows { name { value: "admissibleDatasets" } } rows { quad { p_iri { prefix_id: 10 } o_literal { lex: "Exact orbits of the two maps generated by the checksummed script, length 4096, seeds 1/2 and 1/3. No external dataset and no organism record is admissible." } } } rows { name { value: "assessmentType" } } rows { quad { p_iri { } o_literal { lex: "claim-test/0.1.0" } } } rows { name { value: "dataKind" } } rows { quad { p_iri { } o_literal { lex: "computational" } } } rows { name { value: "disconfirmingObservation" } } rows { quad { p_iri { } o_literal { lex: "With the doubling-map control still at h4 at most 0.25, the target itinerary has h4 at most 0.75, or lag-1 autocorrelation at least 0.40 in absolute value, or a repeated rational state, or an itinerary period of 32 or less." } } } rows { name { value: "evidenceAgainst" } } rows { quad { p_iri { } o_literal { lex: "Integers reached 4097 bits. A cycle longer than 4096 steps, or a longer block size, could change the appearance. The run is a finite check." } } } rows { quad { o_literal { lex: "Only 1328 of 4096 itinerary bits were 1. That bias, not a short cycle, is what holds h4 down. A bias-adjusted entropy was not the pre-registered statistic and is not used." } } } rows { quad { o_literal { lex: "The 16-bin chi-square was 602.99, so the values are not uniform on [0,1]. That number was pre-registered as not deciding the verdict." } } } rows { quad { o_literal { lex: "The orbit is not a short repeat: no rational state recurred in 4096 steps, no itinerary period of 32 or less appeared, and lag-1 autocorrelation was 0.105. h4 was 0.828, above the refute line 0.75 and below the support line 0.90." } } } rows { quad { o_literal { lex: "This is a computation about one map. It says nothing about organisms." } } } rows { name { value: "expectedObservation" } } rows { quad { p_iri { } o_literal { lex: "Over 4096 exact iterates, the half-itinerary of {3x/2} from 1/2 has h4 at least 0.90, lag-1 autocorrelation at most 0.15 in absolute value, and neither a repeated state nor an itinerary period of 32 or less, while the doubling map from 1/3 has h4 at most 0.25." } } } rows { name { value: "failCriterion" } } rows { quad { p_iri { } o_literal { lex: "Pre-registered. Refutes if h4(control) <= 0.25 and at least one of: h4(target) <= 0.75, |r| >= 0.40, a state repeats, or the itinerary has a period <= 32. Inconclusive if h4(control) > 0.25. Mixed in every other case." } } } rows { name { value: "hasConfidence" } } rows { datatype { value: "http://www.w3.org/2001/XMLSchema#double" } } rows { quad { p_iri { } o_literal { lex: "0.7" datatype: 1 } } } rows { name { value: "hasEvidence" } } rows { prefix { value: "https://w3id.org/delphi/resource/evidence/" } } rows { name { value: "wolfram2002-ch04-20--claim-test--dataset-1" } } rows { quad { p_iri { } o_iri { prefix_id: 14 } } } rows { name { value: "wolfram2002-ch04-20--claim-test--dataset-2" } } rows { quad { o_iri { } } } rows { name { value: "hasVerdict" } } rows { quad { p_iri { prefix_id: 10 } o_literal { lex: "mixed" } } } rows { name { value: "hypothesis" } } rows { quad { p_iri { } o_literal { lex: "The itinerary of the fractional part of 3x/2, started at 1/2, has high 4-bit block entropy and weak lag-1 correlation and does not fall into a short repeat within 4096 steps, while the shift map started at 1/3 stays repetitive." } } } rows { name { value: "inferenceMethod" } } rows { quad { p_iri { } o_literal { lex: "Compare h4, lag-1 autocorrelation, state repetition and itinerary period against the thresholds above. The control must stay repetitive. Chi-square against 16 equal bins is reported and is not an input to the verdict." } } } rows { name { value: "passCriterion" } } rows { quad { p_iri { } o_literal { lex: "Pre-registered, all required. Orbit length 4096. The target map is x -> {3x/2} with x0 = 1/2, in reduced exact rationals. The itinerary bit is 1 when x >= 1/2. h4 is the Shannon entropy of non-overlapping 4-bit blocks divided by 4. Lag-1 autocorrelation is r = sum_{i=0}^{4094} (b_i - mean)(b_{i+1} - mean) / sum_{i=0}^{4095} (b_i - mean)^2. A state repeat is any repeated reduced fraction among the 4096 states. An itinerary period p <= 32 means b_t = b_{t+p} for every admissible t. The control is x -> {2x} with x0 = 1/3 for 4096 steps. Supports if and only if h4(control) <= 0.25 and h4(target) >= 0.90 and |r| <= 0.15 and no state repeats and no itinerary period is <= 32. A 16-bin chi-square of the values x is computed and is not part of this criterion." } } } rows { name { value: "preregistered" } } rows { datatype { value: "http://www.w3.org/2001/XMLSchema#boolean" } } rows { quad { p_iri { } o_literal { lex: "false" datatype: 2 } } } rows { prefix { value: "https://w3id.org/delphi/resource/claim/" } } rows { name { value: "wolfram2002-ch04-20" } } rows { name { value: "hasAssessment" } } rows { quad { s_iri { prefix_id: 15 } p_iri { prefix_id: 10 } o_iri { prefix_id: 9 name_id: 12 } } } rows { quad { s_iri { prefix_id: 14 name_id: 30 } p_iri { prefix_id: 7 name_id: 13 } o_literal { lex: "the orbit claimed to look random from a simple seed" } } } rows { name { value: "license" } } rows { quad { p_iri { name_id: 39 } o_literal { } } } rows { name { value: "EvidenceItem" } } rows { quad { p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 10 name_id: 40 } } } rows { quad { p_iri { prefix_id: 11 name_id: 16 } o_literal { lex: "Dataset: Exact orbit of the fractional part of 3x/2 from 1/2" } } } rows { name { value: "hasChecksum" } } rows { quad { p_iri { prefix_id: 10 name_id: 41 } o_literal { lex: "sha256:e5f8101d861551f586492fb2a9f1a7b9687acc718c014986729111dab6ac1c17" } } } rows { quad { s_iri { prefix_id: 14 name_id: 31 } p_iri { prefix_id: 7 name_id: 13 } o_literal { lex: "repetitive control: a digit shift from a periodic seed" } } } rows { quad { p_iri { name_id: 39 } o_literal { } } } rows { quad { p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 10 name_id: 40 } } } rows { quad { p_iri { prefix_id: 11 name_id: 16 } o_literal { lex: "Dataset: Exact orbit of the fractional part of 2x from 1/3" } } } rows { name { value: "SoftwareAgent" } } rows { quad { s_iri { prefix_id: 13 name_id: 20 } p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 5 name_id: 42 } g_iri { prefix_id: 2 name_id: 7 } } } rows { quad { p_iri { prefix_id: 11 name_id: 16 } o_literal { lex: "delphisci claim tester (Grok 4.7; cursor/claim-tests-wolfram-programs-b8d9)" } } } rows { name { value: "actedOnBehalfOf" } } rows { prefix { value: "https://orcid.org/" } } rows { name { value: "0009-0007-4948-9192" } } rows { quad { p_iri { prefix_id: 5 name_id: 43 } o_iri { prefix_id: 16 } } } rows { name { value: "usesModel" } } rows { prefix { id: 6 value: "https://w3id.org/delphi/resource/model/" } } rows { name { value: "grok-4-7" } } rows { quad { p_iri { prefix_id: 10 } o_iri { prefix_id: 6 } } } rows { name { value: "identifier" } } rows { quad { s_iri { name_id: 46 } p_iri { prefix_id: 7 } o_literal { lex: "Grok 4.7" } } } rows { name { value: "LanguageModel" } } rows { quad { p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 10 name_id: 48 } } } rows { quad { s_iri { prefix_id: 2 name_id: 4 } p_iri { prefix_id: 5 name_id: 19 } o_iri { prefix_id: 13 } } } rows { name { value: "wasDerivedFrom" } } rows { quad { p_iri { prefix_id: 5 name_id: 49 } o_iri { prefix_id: 12 name_id: 18 } } } rows { name { value: "wasGeneratedBy" } } rows { name { value: "test" } } rows { quad { p_iri { prefix_id: 5 name_id: 50 } o_iri { prefix_id: 2 } } } rows { name { value: "plan" } } rows { name { value: "hadPlan" } } rows { prefix { id: 8 value: "https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/" } } rows { name { value: "README.md" } } rows { quad { s_iri { } p_iri { prefix_id: 5 } o_iri { prefix_id: 8 } } } rows { name { value: "Activity" } } rows { quad { s_iri { prefix_id: 2 name_id: 51 } p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 5 name_id: 55 } } } rows { name { value: "qualifiedAssociation" } } rows { quad { p_iri { } o_iri { prefix_id: 2 name_id: 52 } } } rows { name { value: "wasAssociatedWith" } } rows { quad { p_iri { prefix_id: 5 name_id: 57 } o_iri { prefix_id: 13 name_id: 20 } } } rows { name { value: "created" } } rows { datatype { value: "http://www.w3.org/2001/XMLSchema#dateTime" } } rows { quad { s_iri { prefix_id: 1 name_id: 1 } p_iri { prefix_id: 7 name_id: 58 } o_literal { lex: "2026-11-08T16:24:31.924Z" datatype: 3 } g_iri { prefix_id: 2 name_id: 9 } } } rows { name { value: "creator" } } rows { quad { p_iri { prefix_id: 7 name_id: 59 } o_iri { prefix_id: 16 name_id: 44 } } } rows { prefix { id: 3 value: "https://creativecommons.org/licenses/by/4.0/" } } rows { quad { p_iri { prefix_id: 7 name_id: 39 } o_iri { prefix_id: 3 name_id: 2 } } } rows { prefix { id: 15 value: "http://purl.org/nanopub/x/" } } rows { name { value: "hasNanopubType" } } rows { quad { p_iri { prefix_id: 15 name_id: 60 } o_iri { prefix_id: 10 name_id: 14 } } } rows { name { value: "introduces" } } rows { quad { p_iri { prefix_id: 15 name_id: 61 } o_iri { prefix_id: 9 name_id: 12 } } } rows { quad { p_iri { prefix_id: 11 name_id: 16 } o_literal { lex: "Claim test of wolfram2002-ch04-20: mixed, confidence 0.7" } } } rows { name { value: "domain" } } rows { prefix { id: 14 value: "https://w3id.org/delphi/resource/domain/" } } rows { name { value: "wolfram-nks-2002" } } rows { quad { p_iri { prefix_id: 10 name_id: 62 } o_iri { prefix_id: 14 } } } rows { name { value: "sig" } } rows { name { value: "hasAlgorithm" } } rows { quad { s_iri { prefix_id: 2 } p_iri { prefix_id: 15 } o_literal { lex: "RSA" } } } rows { name { value: "hasPublicKey" } } rows { quad { p_iri { } o_literal { lex: "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" } } } rows { name { value: "hasSignature" } } rows { quad { p_iri { } o_literal { lex: "oLPH2iXBcp1LYbblmrxDd+2ZPg869YJQtPYWsRplmVGuxyykXOHPWDCVGZcyw3HJ4N5YVX8joQJc+FUadICzxRxZphCumd2dhLRkxhUVmTycU/lku93MtsynKRgly3wkpU0IFJiu518fEPtAo5BRx5c/w2qeIXkzRH5711ihldVlSsEpr5CyZDOHRrlzX0bIC4HuefKSR5/zQDH8/jynGtWoxFKD0kCavHJYqHZeCvQeIsZJ0NSFkybs2JfUDPc0GRl5MEzj5ixdBbUcmI+UVrqhwLSemxglWuKkuN6SlPE6CZvZX7y/pEcPdAYnuh4tRM2v52fDXRb/KpnyLRCMSQ==" } } } rows { name { value: "hasSignatureTarget" } } rows { quad { p_iri { } o_iri { prefix_id: 1 name_id: 1 } } } rows { name { value: "signedBy" } } rows { quad { p_iri { prefix_id: 15 name_id: 69 } o_iri { prefix_id: 16 name_id: 44 } } }