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: "RA5EUDtbN2g-vIoxWM6O1kvhkENxQbRP0fR4SM3uhSwKk" } } rows { namespace { name: "this" value { prefix_id: 1 } } } rows { prefix { value: "https://w3id.org/np/RA5EUDtbN2g-vIoxWM6O1kvhkENxQbRP0fR4SM3uhSwKk/" } } 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: "turing-wavelength--claim-test--schnakenberg-1d" } } rows { name { value: "description" } } rows { quad { s_iri { prefix_id: 9 } p_iri { prefix_id: 7 } o_literal { lex: "Written before the simulation was run. Model: u_t = a - u + u^2 v + D_u u_xx, v_t = b - u^2 v + D_v v_xx; steady state u* = a + b, v* = b / (a + b)^2; Jacobian entries f_u = -1 + 2b/(a+b), f_v = (a+b)^2, g_u = -2b/(a+b), g_v = -(a+b)^2. d_c is the smallest D_v satisfying D_v f_u + D_u g_v = 2 sqrt(D_u D_v det J); k_c^2 = sqrt(det J / (D_u d_c)). Grid: 16 points per lambda_c. Seeds: 20261102, 20261103, 20261104. Domain lengths for the scaling runs are fixed at 80 lambda_c(s = 1) so the quantisation error is at most 1/(2 n) with n >= 40 waves." } 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: 0.9877 lambda_measured / lambda_c at L = 80 lambda_c, D_v = 1.05 d_c (n = 27, wavelength quantised to L/n: step 1/81 (1.2%) at L = 80 lambda_c; 3 seeds per condition agree to within one quantum). Interpretation: This tests the formal statement as written, on its own assumptions (two species, near onset, domain large compared with the wavelength). A pass shows the onset formula predicts the simulated pattern in that regime; it says nothing about organisms, where Sheth et al. 2012 (10.1126/science.1226804) already show Hox dose changes digit period. The far-from-onset control measures how quickly the formula stops applying, which is the claim\'s own caveat." } } } rows { name { value: "label" } } rows { quad { p_iri { } o_literal { lex: "Claim test of turing-wavelength (schnakenberg-1d): supports, confidence 0.9" } } } rows { name { value: "seeAlso" } } rows { prefix { value: "https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/math-bio-claims/turing-wavelength/schnakenberg-1d/" } } 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-claude-fable-5-1" } } 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: "No external dataset; only seeded output of the simulation in analysis.py. The onset values d_c, k_c and lambda_c are computed from the Jacobian, not fitted." } } } 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: "Nonlinear selection moves the wavelength away from lambda_c by more than 20% even 5% above onset, or the wavelength tracks the domain length, or the slope against D departs from 1/2." } } } rows { name { value: "evidenceAgainst" } } rows { quad { p_iri { } o_literal { lex: "A computational test of a model theorem: it checks the theorem\'s stated regime (two species, near onset, large domain) in one kinetic scheme (Schnakenberg), not biology, and not other kinetics. Sheth et al. 2012 (10.1126/science.1226804) is the organism-level evidence and is cited, not reproduced." } } } rows { quad { o_literal { lex: "All three pre-registered criteria passed: onset ratio 0.988 (pass band within 10%), domain spread 1.8% over L in {20, 40, 80} lambda_c (pass band 5%), slope 0.495 (pass band [0.45, 0.55]). No deviation from the pre-registration." } } } rows { quad { o_literal { lex: "The far-from-onset control at D_v = 2 d_c still gave lambda / lambda_c = 0.973 for this scheme, so the \'near onset\' assumption was not stressed here; mass-conserving systems are known to select differently far from onset (PMID 38243507)." } } } rows { quad { o_literal { lex: "The wavelength is quantised by the periodic domain (n waves in L); seeds at L = 20 lambda_c landed on 19, 20 and 21 waves, which is the whole of the 1.8% spread." } } } rows { name { value: "expectedObservation" } } rows { quad { p_iri { } o_literal { lex: "The saturated pattern\'s dominant wavenumber sits at the linearly fastest-growing mode, so lambda tracks lambda_c, does not move with L beyond the quantisation 2 pi n / L, and goes as sqrt(D)." } } } rows { name { value: "failCriterion" } } rows { quad { p_iri { } o_literal { lex: "Any one: |lambda_measured / lambda_c - 1| > 0.20; spread over L > 0.10; slope outside [0.40, 0.60]. Results between the pass and fail bands on any criterion give a mixed verdict." } } } rows { name { value: "hasConfidence" } } rows { datatype { value: "http://www.w3.org/2001/XMLSchema#double" } } rows { quad { p_iri { } o_literal { lex: "0.9" datatype: 1 } } } rows { name { value: "hasEvidence" } } rows { name { value: "nil" } } rows { quad { p_iri { } o_iri { prefix_id: 4 } } } rows { name { value: "hasVerdict" } } rows { quad { p_iri { prefix_id: 10 } o_literal { lex: "supports" } } } rows { name { value: "hypothesis" } } rows { quad { p_iri { } o_literal { lex: "In a two-species Schnakenberg reaction-diffusion system (a = 0.1, b = 0.9, D_u = 1) simulated on a one-dimensional periodic domain just above the Turing threshold (D_v = 1.05 d_c), the dominant wavelength of the saturated pattern (i) equals the onset wavelength lambda_c = 2 pi / k_c with k_c^2 = sqrt(det J / (D_u D_v)) to within 10%, (ii) is independent of domain length L in {20, 40, 80} lambda_c to within a 5% spread, and (iii) scales as sqrt(s) when both diffusivities are multiplied by s in {0.25, 0.5, 1, 2, 4}, with a log-log slope in [0.45, 0.55]." } } } rows { name { value: "inferenceMethod" } } rows { quad { p_iri { } o_literal { lex: "Semi-implicit Fourier (IMEX) integration from a homogeneous steady state plus seeded noise of amplitude 1e-3, to t = 20,000 in model time; dominant wavenumber from the peak of |FFT(u - mean u)| at the final time (the peak is a multiple of 2 pi / L, so lambda_measured is quantised to L / n). A far-from-onset control at D_v = 2 d_c is run and reported but is not part of the verdict." } } } rows { name { value: "passCriterion" } } rows { quad { p_iri { } o_literal { lex: "All three: |lambda_measured / lambda_c - 1| <= 0.10 at L = 80 lambda_c; (max - min) / mean of lambda over L in {20, 40, 80} lambda_c <= 0.05; least-squares slope of log lambda against log s in [0.45, 0.55]. Each lambda is the mean over 3 seeds." } } } 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: "turing-wavelength" } } rows { name { value: "hasAssessment" } } rows { quad { s_iri { prefix_id: 14 } p_iri { prefix_id: 10 } o_iri { prefix_id: 9 name_id: 12 } } } 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: 38 } g_iri { prefix_id: 2 name_id: 7 } } } rows { quad { p_iri { prefix_id: 11 name_id: 16 } o_literal { lex: "delphisci claim tester (claude-fable-5.1; graph-video thread, Laws chapter follow-up; pre-registration commit ce3cd01f)" } } } 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: 39 } o_iri { prefix_id: 15 } } } rows { name { value: "usesModel" } } rows { prefix { value: "https://w3id.org/delphi/resource/model/" } } rows { name { value: "claude-fable-5-1" } } rows { quad { p_iri { prefix_id: 10 } o_iri { prefix_id: 16 } } } rows { name { value: "identifier" } } rows { quad { s_iri { name_id: 42 } p_iri { prefix_id: 7 } o_literal { lex: "claude-fable-5.1" } } } rows { name { value: "LanguageModel" } } rows { quad { p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 10 name_id: 44 } } } 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: 45 } 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: 46 } o_iri { prefix_id: 2 } } } rows { name { value: "plan" } } rows { name { value: "hadPlan" } } rows { prefix { id: 6 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: 6 } } } rows { name { value: "Activity" } } rows { quad { s_iri { prefix_id: 2 name_id: 47 } p_iri { prefix_id: 4 name_id: 10 } o_iri { prefix_id: 5 name_id: 51 } } } rows { name { value: "qualifiedAssociation" } } rows { quad { p_iri { } o_iri { prefix_id: 2 name_id: 48 } } } rows { name { value: "wasAssociatedWith" } } rows { quad { p_iri { prefix_id: 5 name_id: 53 } 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: 54 } o_literal { lex: "2026-11-08T16:24:31.887Z" datatype: 3 } g_iri { prefix_id: 2 name_id: 9 } } } rows { name { value: "creator" } } rows { quad { p_iri { prefix_id: 7 name_id: 55 } o_iri { prefix_id: 15 name_id: 40 } } } rows { name { value: "license" } } rows { prefix { id: 8 value: "https://creativecommons.org/licenses/by/4.0/" } } rows { quad { p_iri { prefix_id: 7 name_id: 56 } o_iri { prefix_id: 8 name_id: 2 } } } rows { prefix { id: 3 value: "http://purl.org/nanopub/x/" } } rows { name { value: "hasNanopubType" } } rows { quad { p_iri { prefix_id: 3 name_id: 57 } o_iri { prefix_id: 10 name_id: 14 } } } rows { name { value: "introduces" } } rows { quad { p_iri { prefix_id: 3 name_id: 58 } o_iri { prefix_id: 9 name_id: 12 } } } rows { quad { p_iri { prefix_id: 11 name_id: 16 } o_literal { lex: "Claim test of turing-wavelength (schnakenberg-1d): supports, confidence 0.9" } } } rows { name { value: "domain" } } rows { prefix { id: 14 value: "https://w3id.org/delphi/resource/domain/" } } rows { name { value: "math-bio-claims" } } rows { quad { p_iri { prefix_id: 10 name_id: 59 } o_iri { prefix_id: 14 } } } rows { name { value: "sig" } } rows { name { value: "hasAlgorithm" } } rows { quad { s_iri { prefix_id: 2 } p_iri { prefix_id: 3 } 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: "MR5fOK/0MkRurTv+my5Ey5g6nhKEwwhDwdd8fLDGP67gW8XuTz0S4k9ksh9BlP0AVA0ZrfLJR2LXzrkQwmbFAV0b/KSy5YEGeLC6rFMeJ0bmtkGC9ksdE46saKgHZen3o0qqvRP8oIMx3NIH8eEyvniKZTBxOak/r1Nk4127mGoHbaf4J0WuDjam7c9MNOQ1QZ7PA4EvQrojqra0SO9XvCQlTl9M0PvOAYucI6aUu45qmd892CqWG7ZsJxPLFcTt3sxeK2qGgMSK9eyt7czXNiBvOPFBeWXZ/Nk7QzkgF/RRw3SHKDYa7DFdXGcwTDAYmz5plqvkVYLOGIIIS8adaw==" } } } 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: 3 name_id: 66 } o_iri { prefix_id: 15 name_id: 40 } } }