{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2YGHGSE4FSBAT6YMKTRFEKX7MV","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":"ec1545e539dc01ad6ff793852fb620ab561f3c62abee3a9af8d1e3cd507af382","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-03-15T23:03:41Z","title_canon_sha256":"922f1647046d350b5bb276764ad4377d61707772faa59e0a18178cf3fbe57bd2"},"schema_version":"1.0","source":{"id":"1803.06027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06027","created_at":"2026-05-18T00:20:50Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06027v1","created_at":"2026-05-18T00:20:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06027","created_at":"2026-05-18T00:20:50Z"},{"alias_kind":"pith_short_12","alias_value":"2YGHGSE4FSBA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2YGHGSE4FSBAT6YM","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2YGHGSE4","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:2ed65c4ab1be6280515abca4596f4ea612b10ad425f679ccc4d25e1faed1253a","target":"graph","created_at":"2026-05-18T00:20:50Z","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":"The Khuri-Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study $\\pi\\pi$ scattering, and compare their expressions and numerical output to the Roy and GKPY equations. We prove that the Khuri-Treiman equations and Roy equations coincide when both are truncated to include only $S$- and $P$-waves. When higher partial waves are included, we find an excellent agreement between the Khuri-Treiman and the GK","authors_text":"A. Jackura, A. Pilloni, A. P.Szczepaniak, C. Fernandez-Ramirez, J. Nys, JPAC Collaboration: M. Albaladejo, M. Mikhasenko, N. Sherrill, V. Mathieu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-03-15T23:03:41Z","title":"Khuri-Treiman equations for $\\pi\\pi$ scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06027","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":"sha256:4ebe95b970bf5135ecca65e267edf24b453702a2a70ab41b56f8b990d7fcfaad","target":"record","created_at":"2026-05-18T00:20:50Z","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":"ec1545e539dc01ad6ff793852fb620ab561f3c62abee3a9af8d1e3cd507af382","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-03-15T23:03:41Z","title_canon_sha256":"922f1647046d350b5bb276764ad4377d61707772faa59e0a18178cf3fbe57bd2"},"schema_version":"1.0","source":{"id":"1803.06027","kind":"arxiv","version":1}},"canonical_sha256":"d60c73489c2c8209fb0c54e2522aff655a5a368a8dd5e613483c8552dc66cffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d60c73489c2c8209fb0c54e2522aff655a5a368a8dd5e613483c8552dc66cffa","first_computed_at":"2026-05-18T00:20:50.951395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:50.951395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zNvlEgZ/KR/pNFiB3ybCnRnA1IE69gHunhdcv2cn9ZOABWRK6Dhb8L4HLWVKE8fRoxANcmYYHN2DEqdNz2TLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:50.952082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ebe95b970bf5135ecca65e267edf24b453702a2a70ab41b56f8b990d7fcfaad","sha256:2ed65c4ab1be6280515abca4596f4ea612b10ad425f679ccc4d25e1faed1253a"],"state_sha256":"dad727513a9583d04283a8c37a689b4c26669ac2955c38e244a54a455d86badc"}