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The predictive content of Spectral Causal Theory

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Issuer
did:web:openxiv.net
Verification method
did:web:openxiv.net#atproto
Generated
5/22/2026, 10:00:40 PM
Evidence digest
sha256-AJnksvdyx-oGrbyAXh01wV1CqL4SFjc1SDdaY_oEf6g
Signature
Vl1f99LjUXPX3xN1MYO-YyLfqgQeD3KIje8lMxF5sDonl7PUw6gE7J-4gwFZPOm4g2YtVsGx6XTmTtgKeIlRpw
Transparency openxiv-transparency-v1.0 Partial
Evidence summary OpenXiv checks 4 verified 1 need attention

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  • Structured AI-use disclosure Verified Author submitted the formal AI-use questionnaire. Action: Submit the structured AI-use disclosure.
  • Disclosure level specified Verified Level: assistant. Action: Choose none, assistant, coauthor, or primary for AI involvement.
  • AI models named Verified 1 model listed. Action: Name every AI model that materially contributed.
  • Human verification attested Needs attention No human verification attestation is recorded. Action: Add the human verification attestation.
  • Plain-language summary Verified A plain summary is available. Action: Provide or generate a readable summary.
Identity openxiv-identity-v1.0 Strong
Evidence summary OpenXiv checks 4 verified
  • Submitter DID parses as resolvable Verified Submitter signs with a did:plc or did:web identity. Action: Publish under a valid did:plc or did:web identity.
  • At least one ORCID-identified author Verified One or more authors have an ORCID iD attached. Action: Attach ORCID iDs for at least one author, ideally all authors.
  • Author identity coverage Verified 1/1 author have ORCID or DID evidence. Action: Attach ORCID or DID evidence to every author row.
  • Author list present Verified 1 author row recorded. Action: Record the author list before publication.
Provenance openxiv-provenance-v1.0 Strong
Evidence summary OpenXiv checks 4 verified 1 pending

Recompute the provenance timeline.

Next actions
  • Recompute the provenance timeline.
  • Source archive retained Verified A source archive is retained for independent rebuilds. Action: Keep the submitted source archive with the version.
  • Compiled PDF artifact Verified The compiled PDF artifact is available. Action: Finish the compile/finalize pipeline.
  • HTML reader artifact Verified HTML rendering is available for accessible reading and MathJax. Action: Run the HTML conversion pipeline.
  • Version content hash Verified The latest binary/source version has a recorded SHA-256 hash. Action: Persist the version SHA-256 hash.
  • Lifecycle provenance completion Pending Lifecycle timeline has not been computed yet. Action: Recompute the provenance timeline.
Citations openxiv-citations-v1.0 Partial
Evidence summary OpenXiv checks 0 verified 50 need attention

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Next actions
  • Ensure each cited work appears as a parseable reference entry.
  • Add DOI, arXiv, or stable URLs to references where available.
  • Citation {CC:1996} Needs attention Reference entry not found in extracted bibliography. {CC:1996} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CC:1997} Needs attention Reference entry not found in extracted bibliography. {CC:1997} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Alfyorov:2026paper1} Needs attention Reference entry not found in extracted bibliography. {Alfyorov:2026paper1} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Alfyorov:2026paper2} Needs attention Reference entry not found in extracted bibliography. {Alfyorov:2026paper2} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Alfyorov:2026paper3} Needs attention Reference entry not found in extracted bibliography. {Alfyorov:2026paper3} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Alfyorov:2026paper4} Needs attention Reference entry not found in extracted bibliography. {Alfyorov:2026paper4} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Alfyorov:2026paper7} Needs attention Reference entry not found in extracted bibliography. {Alfyorov:2026paper7} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CCM:2006} Needs attention Reference entry not found in extracted bibliography. {CCM:2006} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Vassilevich:2003} Needs attention Reference entry not found in extracted bibliography. {Vassilevich:2003} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {BV:1987} Needs attention Reference entry not found in extracted bibliography. {BV:1987} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {BV:1990} Needs attention Reference entry not found in extracted bibliography. {BV:1990} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CZ:2012} Needs attention Reference entry not found in extracted bibliography. {CZ:2012} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {ParkerToms:2009} Needs attention Reference entry not found in extracted bibliography. {ParkerToms:2009} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CPR:2008} Needs attention Reference entry not found in extracted bibliography. {CPR:2008} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Anselmi:2017} Needs attention Reference entry not found in extracted bibliography. {Anselmi:2017} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Anselmi:2018} Needs attention Reference entry not found in extracted bibliography. {Anselmi:2018} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {LeeWick:1969} Needs attention Reference entry not found in extracted bibliography. {LeeWick:1969} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Stelle:1977} Needs attention Reference entry not found in extracted bibliography. {Stelle:1977} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {vS:2015} Needs attention Reference entry not found in extracted bibliography. {vS:2015} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Sen:2012} Needs attention Reference entry not found in extracted bibliography. {Sen:2012} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Alfyorov:2026repo} Needs attention Reference entry not found in extracted bibliography. {Alfyorov:2026repo} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Shapiro:2004} Needs attention Reference entry not found in extracted bibliography. {Shapiro:2004} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {BMS:2009} Needs attention Reference entry not found in extracted bibliography. {BMS:2009} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Meissner:2004} Needs attention Reference entry not found in extracted bibliography. {Meissner:2004} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {KaulMajumdar:2000} Needs attention Reference entry not found in extracted bibliography. {KaulMajumdar:2000} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {FallsLitim:2012} Needs attention Reference entry not found in extracted bibliography. {FallsLitim:2012} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Myung:2017} Needs attention Reference entry not found in extracted bibliography. {Myung:2017} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CC:2010} Needs attention Reference entry not found in extracted bibliography. {CC:2010} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CCS:2013} Needs attention Reference entry not found in extracted bibliography. {CCS:2013} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {DLM:2014} Needs attention Reference entry not found in extracted bibliography. {DLM:2014} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {BFS:2010} Needs attention Reference entry not found in extracted bibliography. {BFS:2010} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CCS:2013ps} Needs attention Reference entry not found in extracted bibliography. {CCS:2013ps} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {vdD:2018} Needs attention Reference entry not found in extracted bibliography. {vdD:2018} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CCS:2013gs} Needs attention Reference entry not found in extracted bibliography. {CCS:2013gs} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {KLV:2015} Needs attention Reference entry not found in extracted bibliography. {KLV:2015} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CC:2006dilaton} Needs attention Reference entry not found in extracted bibliography. {CC:2006dilaton} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Kapner:2007} Needs attention Reference entry not found in extracted bibliography. {Kapner:2007} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {GW170817:2017} Needs attention Reference entry not found in extracted bibliography. {GW170817:2017} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Antoniou:2025} Needs attention Reference entry not found in extracted bibliography. {Antoniou:2025} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Antoniou:2026} Needs attention Reference entry not found in extracted bibliography. {Antoniou:2026} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {KayWald:1987} Needs attention Reference entry not found in extracted bibliography. {KayWald:1987} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {BinningtonPoisson:2009} Needs attention Reference entry not found in extracted bibliography. {BinningtonPoisson:2009} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Cardoso:2019} Needs attention Reference entry not found in extracted bibliography. {Cardoso:2019} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {GWTC3} Needs attention Reference entry not found in extracted bibliography. {GWTC3} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Obied:2018} Needs attention Reference entry not found in extracted bibliography. {Obied:2018} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {LiteBIRD:2022} Needs attention Reference entry not found in extracted bibliography. {LiteBIRD:2022} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Rovelli:2004} Needs attention Reference entry not found in extracted bibliography. {Rovelli:2004} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Thiemann:2007} Needs attention Reference entry not found in extracted bibliography. {Thiemann:2007} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {ReuterSaueressig:2012} Needs attention Reference entry not found in extracted bibliography. {ReuterSaueressig:2012} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {AJL:2012} Needs attention Reference entry not found in extracted bibliography. {AJL:2012} unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
Math openxiv-math-v1.0 Partial
Evidence summary OpenXiv checks 15 verified 1 need attention

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  • Formula evidence 1 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(a_4\)
  • Formula evidence 2 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(f\)
  • Formula evidence 3 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\alpha_C = 13/120\)
  • Formula evidence 4 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(c_1/c_2 = -1/3\)
  • Formula evidence 5 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\xi = 1/6\)
  • Formula evidence 6 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(c_T = c\)
  • Formula evidence 7 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(c_{\log} = 37/24\)
  • Formula evidence 8 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(V > 3f/r^2 > 0\)
  • Formal structure 1 Verified Formal statement/proof cue found in Abstract. formal statement Abstract medium confidence A Cutoff function scan B Derivation of [math]
  • Formal structure 2 Verified Formal statement/proof cue found in 1 Introduction. formal statement 1 Introduction medium confidence Paper 3 [Alfyorov:2026paper3] proved the chirality theorem for the [math] Seeley–DeWitt coefficient: the spin connection generators [math] commute with the chirality operator [math] in four dimensions, rendering the cur...
  • Formal structure 3 Verified Formal statement/proof cue found in 1 Introduction. formal statement 1 Introduction medium confidence Paper 4 [Alfyorov:2026paper4] derived the full nonlinear field equations and their FLRW reduction ( [math] at one-loop level in the Euclidean derivation).
  • Formal structure 4 Verified Formal statement/proof cue found in 1 Introduction. formal statement 1 Introduction medium confidence Results are labeled as proven (arithmetic identities formally verified in Lean 4; specifically: rational arithmetic of the [math] coefficients for given SM multiplicities; physical postulates are not formalized), verifi...
  • Formal structure 5 Verified Formal statement/proof cue found in 2.2 One-loop form factors. formal statement 2.2 One-loop form factors medium confidence For alternative cutoffs [math] with [math] , the master function satisfies [math] , so this cancellation does not occur and the form factors require a separate heat kernel derivation.
  • Formal structure 6 Verified Formal statement/proof cue found in 2.3 Modified propagator and the fakeon prescription. formal statement 2.3 Modified propagator and the fakeon prescription medium confidence The fakeon prescription is formulated for propagators with finitely many poles; its extension to the SCT propagator, which as an entire function of order 1 has countably many complex zeros, requires a convergence proof...
  • Source archive for math audit Verified Source archive is retained for independent formula and derivation checks. source archive high confidence
  • Human math verification Needs attention No author attestation covers mathematical verification. human attestation low confidence Action: Add the human verification attestation for mathematical claims.
Integrity openxiv-integrity-v1.0 Partial
Evidence summary OpenXiv checks 2 verified 1 need attention 1 not applicable

Require a human verification attestation.

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  • Require a human verification attestation.
  • Undisclosed-AI detector Not applicable Detector is not used as a penalty because the author disclosed AI use.
  • Source available for audit Verified The source archive can be inspected against the rendered artifacts. Action: Attach or recover the source archive.
  • Version hash available Verified The version hash lets readers compare rebuilt artifacts. Action: Persist and expose the version SHA-256 hash.
  • Human verification attested Needs attention Human verification is not attested. Action: Require a human verification attestation.
Social Review openxiv-social-review-v1.0 Pending
Evidence summary OpenXiv checks 0 verified 2 need attention 1 not applicable

Invite typed endorsements from readers who checked a specific aspect.

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  • Prefer specific verbs such as checked references or reproduced result.
  • Typed endorsement volume Needs attention No structured endorsements yet. Action: Invite typed endorsements from readers who checked a specific aspect.
  • Endorsement verb diversity Needs attention No endorsement verb diversity yet. Action: Prefer specific verbs such as checked references or reproduced result.
  • Public lane disputes addressed Not applicable No public Passport disputes are currently filed.

Trust history

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External attestations

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