The WMAP and Planck temperature maps contain directions around which annular rings show low temperature variance, often in concentric sets, and these features are reproducible by independent groups applying the published search procedure.

Reproduced by every group on both sides, on two instruments' data. The only caveat is definitional: "the features" are outputs of a specific variance criterion that the 2024 artifact diagnosis shows is partly self-generating around anomalous pixels.

Every independent team, including harsh critics like Wehus & Eriksen and Moss et al., successfully reproduced the specific ring structures outputted by the proponents' search procedure. The strongest opposing consideration is that the features might merely be methodological artifacts driven by few-pixel spots, but this challenges their cosmological significance, not their factual presence as mathematical outputs in the data.

Multiple independent groups, including critics of CCC, explicitly state that they reproduce the concentric low-variance ring structures in WMAP (and, later, Planck) when they apply the Gurzadyan–Penrose search procedure. This includes Wehus & Eriksen and DeAbreu et al., who confirm the “special directions” and concentric families as outputs of the algorithm. The strongest opposing consideration is that Bodnia et al. show many such rings arise from few-pixel bright or dark spots interacting with the variance criterion, which means the features are at least partly methodological artifacts rather than robust, definition-independent structures; nonetheless, the claim as stated is about the existence of those features under the published procedure, not about their physical origin.

Independent groups on both sides of the dispute — Wehus and Eriksen, Moss, Scott and Zibin, Hajian, and DeAbreu, Contreras and Scott — reproduce low-variance annular rings, often in concentric sets, as outputs of the published search on WMAP and Planck maps. Existence of those procedure outputs is therefore not in contention. The strongest opposing consideration is Bodnia et al. 2024's demonstration that the Gurzadyan–Penrose criterion is triggered by few-pixel bright or dark spots that inflate local baseline variance, so reproducing the rings partly means reproducing a method artifact; that objection bears on significance and attribution, not on whether the flagged features exist and are independently recoverable.

The claim asserts only that low-variance rings exist in WMAP and Planck maps and are reproducible by independent groups applying the published procedure — and the critics themselves confirm exactly that in print (CCC-E002 "we do reproduce the claimed ring structures"; CCC-E003; CCC-E008 confirming the "special directions" in Planck data). Both camps agree on this rung; the entire dispute is downstream. The strongest opposing consideration is that the features are procedure-relative and Bodnia et al. 2024 (CCC-E012) show the criterion is triggered by few-pixel anomalous spots — so reproducing the rings partly means reproducing an artifact of the method. But the claim as stated is about procedure outputs, not their provenance, and on that it is confirmed by every group that has looked.

Reproduction is direct, verbatim, and adversarial: Wehus & Eriksen state they reproduce the ring structures "thereby verifying their computational procedures," Moss/Scott/Zibin confirm the variance variations exist, and DeAbreu et al. confirm the special directions in independent Planck data. Nothing in the ledger disputes the existence of the flagged features. The strongest opposing consideration is that "feature" here is procedure-relative — Bodnia et al. show the criterion is triggered by few-pixel outliers, so part of what is being reproduced is an artifact of the statistic — but the claim as written asserts only reproducibility of the outputs, which is not in doubt.

Reproduced by every group on both sides on two instruments' data (CCC-E002, CCC-E008). The only caveat remains definitional: CCC-E012 shows the variance criterion is partly self-generating around anomalous few-pixel spots.

Reproduced by independent groups on both sides using both WMAP and Planck data (CCC-E002, CCC-E008). The remaining caveat is definitional: CCC-E012 shows the variance criterion partly manufactures the features around anomalous few-pixel spots. Credible observation; low diagnosticity on its own.

Independently reproduced on WMAP and Planck by groups that reject the interpretation (CCC-E002, CCC-E008). CCC-E012 qualifies rather than refutes it by showing the variance criterion partly manufactures the features around anomalous few-pixel spots. Credible, near-zero diagnosticity on its own.

Independently reproduced on both WMAP and Planck by groups hostile to the interpretation (CCC-E002, CCC-E008). The caveat is definitional rather than empirical: CCC-E012 shows the variance criterion partly manufactures the features around anomalous few-pixel spots. Credible, but near-zero diagnosticity on its own.

Independently reproduced on WMAP and Planck by groups that reject the interpretation (CCC-E002, CCC-E008). The qualification is definitional, not empirical: CCC-E012 shows the variance criterion partly manufactures the features around anomalous few-pixel spots. Credible, near-zero diagnosticity alone.

It is a matter of consensus in the evidence record that the features exist as outputs of the specified search procedure. Independent reanalyses by Wehus & Eriksen, Moss et al., and DeAbreu et al. all successfully reproduce the physical ring and spot structures in the data. The strongest opposing consideration is that the 2024 Bodnia et al. study shows these features are heavily driven by few-pixel artifact spots rather than coherent structures, making the "feature" highly relative to the algorithm.

Multiple independent analyses, including critics (Wehus & Eriksen; DeAbreu et al.; Bodnia et al.), explicitly report that when they run the Gurzadyan–Penrose ring-finding procedure on WMAP and Planck maps, they reproduce the low-variance annuli and concentric sets. This establishes that such features, procedure-defined, are present in the data. The strongest opposing point is that Bodnia et al. show many of these rings arise from few-pixel anomalies combined with the specific variance statistic, so what is “real” is the output of that algorithm, not necessarily astrophysically meaningful rings—but that nuance does not negate the existence claim itself.

Every independent group that applied the published Gurzadyan–Penrose search — including Wehus and Eriksen, Moss, Scott and Zibin, and DeAbreu et al. — reproduced low-variance annular rings, often in concentric sets, in both WMAP and Planck maps. The observational existence of these procedure outputs is therefore not in dispute between the camps. The strongest opposing consideration is Bodnia et al. 2024's demonstration that the search criterion is triggered by few-pixel bright or dark spots that inflate local baseline variance, so reproducing the rings partly means reproducing a method artifact; that objection bears on interpretation and significance, not on whether the published procedure returns the same features.

The existence of low-variance ring features as outputs of the published search procedure is affirmed by every group that has run it, including the theory's sharpest critics, who reproduced the Gurzadyan–Penrose outputs verbatim and said so in print (CCC-E002, CCC-E003, CCC-E008). This is the rare claim in the case with genuinely adversarial confirmation. The strongest opposing consideration is that "feature" is procedure-relative: Bodnia et al. 2024 show the variance criterion is triggered by few-pixel anomalies (CCC-E012), so what is reproduced is partly an artifact-generator rather than a sky object. That bears on what the features are, not on whether the procedure outputs them, so the claim as stated stands.

Reproduction is documented verbatim by the theory's sharpest critics — Wehus & Eriksen "do reproduce the claimed ring structures... thereby verifying their computational procedures," and Moss/Scott/Zibin and DeAbreu et al. independently confirm the same features in WMAP and Planck. The claim is deliberately scoped to presence and reproducibility, not anomaly, and at that scope it is not contested by anyone in the record. The strongest opposing consideration is that "feature" here is procedure-relative: Bodnia et al. 2024 show the criterion is triggered by few-pixel artifacts and that no statistically significant circles survive screening at full resolution, so part of what is reproduced is an artifact of the method rather than a structure of the sky. That caveat argues against upgrading to "established" but does not touch the claim as stated.

Reproduced on both WMAP and Planck by groups that reject the CCC reading (CCC-E002, CCC-E008), so the procedure's outputs are real. The only qualification is that CCC-E012 shows the criterion partly manufactures the features around anomalous few-pixel spots; credible, but with almost no diagnostic power on its own.

Both proponents and multiple independent critical groups confirm that the search procedures successfully identify the low-variance rings and compact hot spots in WMAP and Planck data. The existence of these algorithmic features is uncontested; the dispute lies entirely in their statistical significance. The strongest opposing consideration is that these "features" might simply be methodological artifacts rather than genuine physical structures, but their existence as outputs is established.

Multiple independent groups, including critics of CCC, explicitly report reproducing the Gurzadyan–Penrose low-variance rings and concentric sets in WMAP and Planck data when applying the published procedure (CCC-E002, E008), and nothing in the later high-resolution work disputes their procedural existence—only their interpretation and significance. The strongest opposing consideration is that Bodnia et al. show these “features” are often generated by a few anomalous pixels inflating the local variance baseline (CCC-E012), so existence here is method-relative rather than evidence of a distinct physical pattern.

Independent groups on both sides of the dispute reproduce low-variance annular rings, often in concentric sets, when they apply the published Gurzadyan–Penrose search to WMAP and Planck maps (Wehus and Eriksen; Moss, Scott and Zibin; DeAbreu et al.). The claim as stated is about procedure outputs, not about whether those outputs are physical relics, and that narrower fact is multiply confirmed. The strongest opposing consideration is Bodnia et al. 2024: the same criterion is triggered by few-pixel bright or dark spots that inflate the local baseline, so reproducing the rings partly means reproducing a method artifact rather than an independent sky structure.

Every group that applied the published procedure — including the three most critical reanalyses — reproduced the low-variance rings in WMAP and Planck data (CCC-E002, CCC-E003, CCC-E008), with Wehus & Eriksen verifying the proponents' computational procedures verbatim. The claim as stated is explicitly procedure-relative, so the 2024 artifact diagnosis does not undercut it: reproducing the rings under the procedure is exactly what happened. Strongest opposing consideration: Bodnia et al. (CCC-E012) show the features are partly manufactured by few-pixel anomalies inflating the local variance baseline, so what is reproduced is partly an artifact of the method rather than sky structure — but that bears on interpretation (CCC-C002, CCC-C010), not on the existence-and-reproducibility claim assessed here.

Three independent groups, all hostile to the cosmological interpretation, state in print that they reproduce the ring structures and verify the published procedure (CCC-E002, CCC-E003, CCC-E008), and DeAbreu et al. extend the reproduction to Planck. This is as clean a replication record as the case file contains, and it is the least contested proposition in the dispute. The strongest opposing consideration is that "feature" here is procedure-relative: CCC-E012 shows the flagging criterion is triggered by few-pixel outliers, so part of what is reliably reproduced is an artifact of the method rather than a structure of the sky. That qualifies the meaning of the claim but not its truth as stated, since the claim asserts only reproducible outputs of the published search.

Reproduced on both WMAP and Planck by groups that reject the CCC reading (CCC-E002, CCC-E008), so the procedure's outputs are real. CCC-E012 shows the criterion partly manufactures the features around anomalous few-pixel spots; credible, but with almost no diagnostic power alone.

Confirmed by every group that has looked, on both sides of the dispute, across WMAP and Planck data. The features exist as outputs of the search procedure; what they mean is a separate question.

Independent investigations (Wehus & Eriksen 2011; Moss et al. 2011; DeAbreu et al. 2015; Bodnia et al. 2024) consistently replicate the presence of low-variance annular rings and concentric sets in WMAP and Planck data when applying the proponents' code. The existence of the raw mathematical patterns in the data maps is undisputed across all parties. The entire disagreement concerns their statistical significance and physical origin rather than their numerical presence. Strongest opposing consideration: Bodnia et al. demonstrate that these geometric patterns are frequently driven by isolated few-pixel extrema rather than coherent physical ring structures.

This existence claim is the one point of genuine consensus: Wehus & Eriksen explicitly verify the computational procedures and reproduce the ring structures, Moss/Scott/Zibin confirm the variance variations, DeAbreu reproduces the analysis and finds the special directions in Planck data, and even the critical Jow & Scott locate the most significant points. The strongest opposing consideration — that some reported sub-features (specific ring families at extreme radii) depend on search-parameter choices — does not touch the claim as stated, which asserts reproducibility of the features, not their significance.

Independent groups explicitly reproduce the published ring structures or special directions in WMAP and Planck data when applying the relevant procedures. Their disagreement concerns significance and attribution, not whether the algorithms return these features. The strongest opposing consideration is that some returned circle sets are generated by a few extreme pixels, but that challenges their interpretation rather than their existence as search outputs.

Every independent reanalysis that applied the published search procedure reproduces the annular low-variance directions and concentric sets in WMAP and Planck maps. The dispute is exclusively about whether those real outputs of the procedure are anomalous, not about whether the procedure returns them. Strongest opposing consideration is none of substance; the existence claim is common ground.

Wehus & Eriksen state verbatim that they reproduce the claimed ring structures, thereby verifying the computational procedures; Moss/Scott/Zibin confirm the annular variance variations exist; DeAbreu et al. confirm the special directions in newer Planck data. This is agreement across proponents and critics on the observational content, which is the strongest possible position for an existence claim. The only caveat, not an opposing consideration, is that "reproducible" here means the search procedure yields the features — Bodnia et al. show part of that yield is driven by few-pixel artifacts, which concerns interpretation rather than existence.

Hostile groups reproduce the ring structures and verify the computational procedures (CCC-E002, E008); Bielewicz et al. find low-variance rings around the exemplar directions and elsewhere (CCC-E037, E058); Moss/Scott/Zibin confirm the variance variations exist (CCC-E003).

Independent groups, including Wehus & Eriksen (2011), Moss et al. (2011), and DeAbreu et al. (2015), explicitly applied the Gurzadyan–Penrose algorithms to WMAP and Planck data and confirmed the presence of the identified annular variance patterns at the specified coordinates. The debate centers entirely on whether these structures are statistically anomalous or physically meaningful, not on their computational reproducibility. The strongest opposing consideration is that these features are highly sensitive to local few-pixel noise spikes, but this concerns their etiology rather than their presence in the raw maps.

Wehus & Eriksen reproduce the ring structures verbatim and verify the computational procedures; Moss/Scott/Zibin confirm the variance variations exist; DeAbreu confirm them in newer Planck data. All parties to the dispute accept the features exist — the disagreement is entirely about their significance and origin. I know of no serious consideration against this claim as stated; even the critics' abstracts confirm it.

Independent groups reproduce the low-variance ring structures and special directions when applying the published procedures to WMAP and Planck data. Later work also shows that the same criteria can generate near-concentric sets around extreme pixels, confirming that these are real outputs of the procedure even when their interpretation is conventional. The strongest opposing consideration is that some sets may be analysis artifacts rather than coherent physical rings, but the claim concerns their presence and reproducibility, not their cause.

Every independent group that has re-implemented the published search procedures (Wehus & Eriksen, Moss/Scott/Zibin, DeAbreu et al., Hajian, Bielewicz, Bodnia) reproduces the low-variance annular rings and the compact raised-temperature spots in both WMAP and Planck maps. The features are therefore real outputs of the analysis pipelines applied to the public data. The strongest opposing consideration is none; existence is not in dispute.

This is the one point of agreement across the whole exchange: Wehus & Eriksen state they reproduce the ring structures and verify the computational procedures (CCC-E002), Moss/Scott/Zibin confirm the variance variations exist (CCC-E003), and DeAbreu et al. confirm the special directions in Planck as well as WMAP (CCC-E008). The proponents' own response records that two groups confirmed the features' existence (CCC-E005). Strongest opposing consideration: CCC-E012 shows some of these reproducible features are procedural artifacts of few-pixel spots — but that bears on their interpretation, not on the claim as stated, which asserts only presence and reproducibility.

Multiple independent research groups (Wehus & Eriksen 2011, Moss et al. 2011, DeAbreu et al. 2015) successfully reproduced the identical low-variance annular structures in WMAP and Planck data when executing the published algorithms. The existence of the geometrical structures in the temperature maps is undisputed; the controversy centers entirely on their statistical significance and physical origin. The strongest opposing consideration is Bodnia et al.'s (2024) finding that many such rings are artificial constructs produced by isolated few-pixel temperature spikes.

The ring structures are reproduced by multiple independent groups using the published procedure, including with Planck data and the proponents' own frozen parameters (CCC-E002, E003, E008), and Bodnia et al. confirm the features arise under the GP criteria. The strongest opposing consideration is none in substance: the proponents themselves confirm the features' existence; the dispute has always been about their significance, not their presence. This claim is carefully restricted to existence and reproducibility, which is exactly what the record supports.

Independent groups explicitly reproduce the low-variance ring structures generated by the published procedure in WMAP and confirm analogous apparently special directions in Planck. This establishes the claim's local observational content without implying that the features are anomalous. The strongest opposing consideration is CCC-E012's finding that extreme few-pixel spots can generate many such circles, but that explains the structures rather than denying that the procedure reproducibly finds them.

Every independent group that has applied the published search procedures (Wehus & Eriksen, Moss/Scott/Zibin, DeAbreu et al., and others) reproduces the low-variance annular families and the compact raised-temperature spots; the dispute is solely over their statistical interpretation, not their existence as map features. The strongest opposing consideration would be residual instrument-specific artifacts, but cross-map co-location and half-difference noise tests already address that.

Independent groups reproduce the Gurzadyan–Penrose rings with the published procedure. Wehus & Eriksen verify the computational procedures on WMAP (E002), Moss, Scott & Zibin confirm the variance variations (E003), and DeAbreu et al. reproduce the WMAP analysis with the proponents' parameters and find the same special directions in Planck (E008). The ledger labels E002 and E008 'undermines' only because each is jointly linked to this claim and to CCC-C002; in content they confirm existence and undermine only the anomaly. Strongest opposing consideration: 'contain' means the search procedure returns these directions, not that they are physically distinct structures — few-pixel spots generate concentric low-variance sets under the same criterion (E012) — so existence must not be read as anomaly, let alone attribution.

Independent critics explicitly reproduce the ring structures and verify the procedure (CCC-E002). DeAbreu et al. confirm the special directions in Planck as well as WMAP (CCC-E008), and the proponents' detection reports them (CCC-E001). This adopts the unanimous panel dissent: presence and reproducibility are agreed by every party. Bodnia et al.'s few-pixel diagnosis bears on the rings' cause, not their presence.