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Thursday, Oct 15, 2026

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OpenAI Integer Multiplication Collaboration Lifts Bound to 0.0017, Earns First Academic Citation

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An open collaboration refining OpenAI's integer multiplication result raised the conditional exponent saving parameter κ to 0.0017137844912361143, a 2.6% increase since Oct. 13. The project earned its first academic citation after contributor 1337isnot1337 introduced an "anticipatory dirty borrowing" technique that reduced helper registers per call from 480 to 400 in a test word.

Content history (2)
  • 2026-10-15 · Summary · vi · Replaced stored text
    OpenAI đã công bố kết quả hợp tác nhân với Integer Multiplication, nâng ngưỡng lên 0.0017…
    Sự hợp tác mở rộng kết quả nhân số nguyên của OpenAI đã nâng tham số cứu giúp số mũ κ lên…
  • 2026-10-15 · Title · vi · Replaced stored text
    OpenAI nâng ngưỡng hợp tác nhân lên 0.0017, nhận trích dẫn học thuật đầu tiên
    Hợp tác mở của OpenAI cải thiện nhân số nguyên, nâng κ lên 0.0017 và nhận trích dẫn học t…
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Key sources

  1. SOURCE@rohanarun“Instead of paying for a fresh scratch "helper" register, a helper borrows another register that's idle at that moment, and hands it back restored. That cut helpers per call from 480 to 400 in their test word.”x.com
  2. SOURCE@rohanarun“Generating the full Lean proof could still take months, but it's clear Github is accelerating faster than we can publish papers now.”x.com
  3. SOURCE@0xdoug“Awesome to see what looks like the first example of open source math being cited in an academic paper.”x.com
  4. SUPPORT@jointheparti“First up: Doug Colkitt’s AI-agent swarm vs. the n log n barrier in integer multiplication. Will its κ hit 0.01 by Nov 19? Opens at 40%.”x.com
  5. SUPPORT@sj_swapnil_jain“Eleventh update to OpenAI problem #109 (integer multiplication): κ rises to 2⁻¹⁰·⁵⁴⁷, still past 2⁻¹¹.”x.com
  6. SUPPORT@8teapi“The "wall" has switched sides: the bit side (8.017e-4) now sits 1.07% above the complex cap (7.932e-4), so the next gains must come from the complex side.”x.com
  7. SUPPORT@rohanarun“Credit also to DaysSky for raising the complex cap to 9.33e-4 with a seven-stage E8 word.”x.com
  8. SUPPORT@anderssandberg“Always fun when math turns into a team sport with daily updates (the current bound is 0.001467289440740487).”x.com
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