{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:BVZGUOU2QIFZ4GTNTXVPM6SWR5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c3bd74a8a0dbd7b6b23815d623de12a037429694cb414e6071e711323413e95b","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-01-08T11:06:31Z","title_canon_sha256":"db5c287b0a4e4ec3184d30b47c4b2c5bf3746fa8e9cccc03a66d8096d3042e4f"},"schema_version":"1.0","source":{"id":"hep-ph/0401039","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0401039","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0401039v1","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0401039","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"BVZGUOU2QIFZ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"BVZGUOU2QIFZ4GTN","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"BVZGUOU2","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0e121d34e752e82074a11ee158f24a6ebcac003a65c32245e559c6cb6cbf0f64","target":"graph","created_at":"2026-05-18T04:26:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present the scattering lengths for the $\\pi\\pi$ processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order. We then combine this calculation with the determination of the parameters from $K_{e4}$ and the masses and decay constants and compare with the results of a dispersive analysis of $\\pi\\pi$ scattering. The comparison indicates a small but nonzero value for the $1/N_c$ suppressed NLO low energy constants $L_4^r$ and $L_6^r$.","authors_text":"Johan Bijnens, Pere Talavera (Polytecnica Barcelona), Pierre Dhonte (Lund)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-01-08T11:06:31Z","title":"$\\pi\\pi$ Scattering in Three Flavour ChPT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0401039","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aaf7fad59c2cd578223dfdad69f9331a0084c9e8fa58f2f9810db9084fe6cfc2","target":"record","created_at":"2026-05-18T04:26:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c3bd74a8a0dbd7b6b23815d623de12a037429694cb414e6071e711323413e95b","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-01-08T11:06:31Z","title_canon_sha256":"db5c287b0a4e4ec3184d30b47c4b2c5bf3746fa8e9cccc03a66d8096d3042e4f"},"schema_version":"1.0","source":{"id":"hep-ph/0401039","kind":"arxiv","version":1}},"canonical_sha256":"0d726a3a9a820b9e1a6d9deaf67a568f61f06fcd0698421182d71bad42498c1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d726a3a9a820b9e1a6d9deaf67a568f61f06fcd0698421182d71bad42498c1b","first_computed_at":"2026-05-18T04:26:21.803127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:21.803127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OONRksy/OBNdEyjNS+LMglM4k/kf7Lq93ocxkh63FvyxoylGToSda18opIm5h79UuF23N6ntYdmzrJACkUMdBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:21.803547Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0401039","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaf7fad59c2cd578223dfdad69f9331a0084c9e8fa58f2f9810db9084fe6cfc2","sha256:0e121d34e752e82074a11ee158f24a6ebcac003a65c32245e559c6cb6cbf0f64"],"state_sha256":"8a9353ac89b5f4c87f63bdb853bd7c439fa2e8acc5c79a7da156e340b29e5e6c"}