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At the physical pion mass, we secure the s-wave $\\pi\\pi$ scattering lengths as $m_\\pi a_{\\pi\\pi}^{I=0} = 0.214(4)(7)$ and $m_\\pi a_{\\pi\\pi}^{I=2} = "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1303.0517","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-03-03T15:33:33Z","cross_cats_sorted":[],"title_canon_sha256":"582d8d75a00a6188e6c346d4850c617554159cb7e1ae0ca63d8f87266f8efff0","abstract_canon_sha256":"af100ea9001f0be4c117c4880192ba7072fe1545870bde16c7e61887365f94fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:15.479183Z","signature_b64":"qzwS2NZGno1rVzqfp6PY4rMt3FlAnpeegP1ObdRcRngaZypfvWbfKW9uYKDvXvyC/4APQ3/z9lp6Lpgi33/+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"110a090f51bd41dd1b6a604717d592951e0d6fad5b72d7da21f2dd39a1b4aeef","last_reissued_at":"2026-05-18T03:29:15.478416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:15.478416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice QCD study of the s-wave $\\pi\\pi $ scattering lengths in the I=0 and 2 channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Ziwen Fu","submitted_at":"2013-03-03T15:33:33Z","abstract_excerpt":"The s-wave pion-pion ($\\pi\\pi$) scattering lengths are computed below the inelastic threshold by the L\\\"uscher technique with pion masses ranging from 240 MeV to 463 MeV. 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