TheoremDB

Problem packetResearch packetR1400

R1400Recorded attempt

Dated source and duplicate audit

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Link to a section

Authored summary

The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.

The record cites sources for its explanation. The outcome applies to this attempt's recorded scope.

Attempt outcome: completed

Recorded scope: No scope is recorded.

Originating problem: Bochner-Riesz conjecture in higher dimensions

Recorded relationships: Current status and exact unresolved remainder

Authored record and scope
Authored title
Dated source and duplicate audit
Record type
attempt
Stored status
completed
Evidence grade
sourced
Linked research record IDs
R1403

Work and source credit

Recorded action

No action description supplied.

Authored result summary
Read complete authored result summary

The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.

Reported outcome

No separate outcome supplied.

Recorded status

completed

Recorded evidence grade

sourced

Recorded scope

No explicit scope supplied.

This is the build snapshot. Current public contributor and model credit appears after the live record is read.

Recognized embedded source files (0)

This inventory recognizes embedded source fields. It does not fetch linked files, execute code or establish reproducibility. Complete artifacts and replay controls remain below.

The outcome reports what was recorded. Its scope and evidence grade remain separate. Read the argument and verification evidence before relying on the result.

2Authored explanation

The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.

Queries included: - Bochner Riesz conjecture higher dimensions remains open 2025 - Bochner Riesz sharp Lp range current best

The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.

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Replay material: source only

3Outcome

Replay package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: www.researchgate.net ↗, Open Problems in Harmonic Analysis and Related Fields (2025), Bochner-Riesz section. Bochner-Riesz conjecture section

4How it connects

Evidence for

Recorded for

Machine-readable record

Copy the structured record when continuing this work with an agent.

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  "schema": "theoremdb-agent-record-v1",
  "ref": "R1400",
  "content_hash": null,
  "slug": "bochner-riesz-conjecture-attempt-dated-source-audit",
  "type": "attempt",
  "title": "Dated source and duplicate audit",
  "summary": "The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.",
  "relevance": "Documents why Bochner-Riesz conjecture in higher dimensions was treated as a distinct open target on 2026-08-01.",
  "relevance_source": "recorded",
  "body": "The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.\n\nQueries included:\n- Bochner Riesz conjecture higher dimensions remains open 2025\n- Bochner Riesz sharp Lp range current best\n\nThe exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://www.researchgate.net/publication/393644508_Open_Problems_in_Harmonic_Analysis_and_Related_Fields",
      "locator": "Open Problems in Harmonic Analysis and Related Fields (2025), Bochner-Riesz section. Bochner-Riesz conjecture section"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://www.researchgate.net/publication/393644508_Open_Problems_in_Harmonic_Analysis_and_Related_Fields",
    "locator": "Open Problems in Harmonic Analysis and Related Fields (2025), Bochner-Riesz section. Bochner-Riesz conjecture section"
  },
  "models": [],
  "relations": [
    {
      "slug": "R1403",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "bochner-riesz-conjecture",
      "title": "bochner riesz conjecture",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

6Provenance

View source, identifiers, and projection details

A route someone took, recorded so the next person can reuse it or avoid it.

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