{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:MNGF3ZV63M6R3Y3KJO2WRYTG7G","short_pith_number":"pith:MNGF3ZV6","schema_version":"1.0","canonical_sha256":"634c5de6bedb3d1de36a4bb568e266f980d7d8259ca0329a51169fc8ab47f79f","source":{"kind":"arxiv","id":"0710.1827","version":1},"attestation_state":"computed","paper":{"title":"Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction","license":"","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Aaron Torok, Kostas Orginos, Martin J. Savage, Silas R. Beane, Thomas C. Luu, William Detmold","submitted_at":"2007-10-09T17:30:43Z","abstract_excerpt":"The ground-state energies of 2, 3, 4 and 5 \\pi^+'s in a spatial volume V (2.5 fm)^3 are computed with lattice QCD. By eliminating the leading contribution from three-\\pi^+ interactions, particular combinations of these n-\\pi^+ ground-state energies provide precise extractions of the \\pi^+\\pi^+ scattering length in agreement with that obtained from calculations involving only two \\pi^+'s. The three-\\pi^+ interaction can be isolated by forming other combinations of the n-\\pi^+ ground-state energies. We find a result that is consistent with a repulsive three-\\pi^+ interaction for m_\\pi < 352 MeV."},"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":"0710.1827","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2007-10-09T17:30:43Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"0ee0fbbd3d4b02f34c731dd1e6861665752548df19590f07e8103c5976f8ec54","abstract_canon_sha256":"de62a2040aa9e95c36bda056d562b3dd5b60f5a2da6f4750773301435f3bf9f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:24.579977Z","signature_b64":"l9b2Zk2NLSXoNxBgDMGHP1hQrOSBwdczYvNAOvJxGS4NCQAgti/eAtK+slN6HYKk8ERGlm0hDBEBCU1ibH4mCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"634c5de6bedb3d1de36a4bb568e266f980d7d8259ca0329a51169fc8ab47f79f","last_reissued_at":"2026-05-18T02:35:24.579346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:24.579346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction","license":"","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Aaron Torok, Kostas Orginos, Martin J. Savage, Silas R. Beane, Thomas C. Luu, William Detmold","submitted_at":"2007-10-09T17:30:43Z","abstract_excerpt":"The ground-state energies of 2, 3, 4 and 5 \\pi^+'s in a spatial volume V (2.5 fm)^3 are computed with lattice QCD. By eliminating the leading contribution from three-\\pi^+ interactions, particular combinations of these n-\\pi^+ ground-state energies provide precise extractions of the \\pi^+\\pi^+ scattering length in agreement with that obtained from calculations involving only two \\pi^+'s. The three-\\pi^+ interaction can be isolated by forming other combinations of the n-\\pi^+ ground-state energies. We find a result that is consistent with a repulsive three-\\pi^+ interaction for m_\\pi < 352 MeV."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1827","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0710.1827","created_at":"2026-05-18T02:35:24.579444+00:00"},{"alias_kind":"arxiv_version","alias_value":"0710.1827v1","created_at":"2026-05-18T02:35:24.579444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1827","created_at":"2026-05-18T02:35:24.579444+00:00"},{"alias_kind":"pith_short_12","alias_value":"MNGF3ZV63M6R","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"MNGF3ZV63M6R3Y3K","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"MNGF3ZV6","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G","json":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G.json","graph_json":"https://pith.science/api/pith-number/MNGF3ZV63M6R3Y3KJO2WRYTG7G/graph.json","events_json":"https://pith.science/api/pith-number/MNGF3ZV63M6R3Y3KJO2WRYTG7G/events.json","paper":"https://pith.science/paper/MNGF3ZV6"},"agent_actions":{"view_html":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G","download_json":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G.json","view_paper":"https://pith.science/paper/MNGF3ZV6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0710.1827&json=true","fetch_graph":"https://pith.science/api/pith-number/MNGF3ZV63M6R3Y3KJO2WRYTG7G/graph.json","fetch_events":"https://pith.science/api/pith-number/MNGF3ZV63M6R3Y3KJO2WRYTG7G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G/action/storage_attestation","attest_author":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G/action/author_attestation","sign_citation":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G/action/citation_signature","submit_replication":"https://pith.science/pith/MNGF3ZV63M6R3Y3KJO2WRYTG7G/action/replication_record"}},"created_at":"2026-05-18T02:35:24.579444+00:00","updated_at":"2026-05-18T02:35:24.579444+00:00"}