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    "boundary": "The announcement’s 67.2% and later exact constants remain distinct. Multiplicity, simple zeros, distinct zeros and counting windows must not be conflated. This is not a full solution of the Riemann hypothesis.",
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      "statement": "# Claude: lower bounds on zeta zeros on the critical line\n\nProgress on proportions of zeta zeros discovered by Claude and checked and communicated by researchers; subsequent papers give constants including 2/3, 5/6 and approximately 0.6725.\n\n## Scientific scope\n\nThe announcement’s 67.2% and later exact constants remain distinct. Multiplicity, simple zeros, distinct zeros and counting windows must not be conflated. This is not a full solution of the Riemann hypothesis.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nLevent Alpöge; Ralph Furman\n\nListed source contributors; individual labor shares are not measured\n\nClaude Code / Anthropic / Unreleased Claude research version: Research system / execution (source reported).\n\n## Original sources\n\n- [Anthropic, Learning more about Claude’s mathematical capabilities (10 Aug; updated 13 Aug 2026)](https://www.anthropic.com/research/riemann-zeta)\n- [Alpöge and Furman, More than two thirds of the zeta zeros are simple and on the critical line, arXiv:2608.13637v2](https://arxiv.org/abs/2608.13637v2)\n",
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