TheoremDB
R1675attemptStatus: open strategyEvidence: ReportedReplay: source only

[#R1675] Work at the unresolved boundary

View evidenceOpen source ↗

1Summary

No unconditional construction or impossibility theorem is known.

Research should address this boundary directly: No unconditional construction or impossibility theorem is known.

A claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations: - Construct such a family and prove security unconditionally. - Or prove every polynomial-time computable function family can be inverted with nonnegligible probability in probabilistic polynomial time.

Reported evidence. Replay readiness: source only.

2Outcome

Evidence package: source only

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

Verification source: doi.org ↗, TheoremDB editorial route recorded 2026-08-01

3How it connects

Addresses

Recorded for

4Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1675",
  "content_hash": null,
  "slug": "one-way-functions-exist-attempt-open-remainder",
  "type": "attempt",
  "title": "Work at the unresolved boundary",
  "summary": "No unconditional construction or impossibility theorem is known.",
  "relevance": "Turns the remaining uncertainty in Do one-way functions exist? into a checkable research target.",
  "relevance_source": "recorded",
  "body": "Research should address this boundary directly: No unconditional construction or impossibility theorem is known.\n\nA claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations:\n- Construct such a family and prove security unconditionally.\n- Or prove every polynomial-time computable function family can be inverted with nonnegligible probability in probabilistic polynomial time.",
  "status": "open_strategy",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://doi.org/10.1109/SFCS.1989.63483",
      "locator": "TheoremDB editorial route recorded 2026-08-01"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1109/SFCS.1989.63483",
    "locator": "TheoremDB editorial route recorded 2026-08-01"
  },
  "relations": [
    {
      "slug": "R1677",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "one-way-functions-exist",
      "title": "one way functions exist",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
one-way-functions-exist-release-300-source-review
Locator
TheoremDB editorial route recorded 2026-08-01
License
CC0-1.0
Contributors
TheoremDB maintainers
Public record
R1675
Stable alias
one-way-functions-exist-attempt-open-remainder
Projection
Reproduction fields are derived from the immutable record.

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

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