{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:E2RNBHU365Z6KLD4BY2LESCKSA","short_pith_number":"pith:E2RNBHU3","schema_version":"1.0","canonical_sha256":"26a2d09e9bf773e52c7c0e34b2484a902ff379339cd436eea5ea8bcf4f2f5fc8","source":{"kind":"arxiv","id":"2605.04964","version":2},"attestation_state":"computed","paper":{"title":"Exact SU(2) Yang-Mills Waves from a Simple Ansatz","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves.","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jing-Ling Chen, Yu-Xuan Zhang","submitted_at":"2026-05-06T14:24:43Z","abstract_excerpt":"We propose a simple ansatz that reduces the sourceless SU(2) Yang--Mills equations in (3+1) dimensions to nine algebraic constraints. Solving these constraints yields three closed-form families of exact wave solutions. \\textbf{Family I} embeds linear electromagnetic waves into the non-Abelian theory, with vanishing commutators and dispersion \\(\\omega = kc\\). \\textbf{Family II} describes genuinely nonlinear self-interacting waves that also propagate at the speed of light but exhibit a constant, gauge-invariant offset in the color-electric field, nonvanishing commutators, and a discrete topologi"},"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":"2605.04964","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-06T14:24:43Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"1e0e69e8c02a1dda580761af2f5430690a3ed9fc203fcf6eb6252e1a4fef3f18","abstract_canon_sha256":"9d56098802b01de79e7d1e16dd6b200da46cf8b774de2a61f8b70bf5dc0c6d82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:03:54.442161Z","signature_b64":"98eHu2E99Zcm/aNe7QOua3KFpLR+Cii4I7UQs9S6bCdl8NFyOAyPROq1lbZxOWUmtNFL0NQe9f+DYR1zRr8iAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26a2d09e9bf773e52c7c0e34b2484a902ff379339cd436eea5ea8bcf4f2f5fc8","last_reissued_at":"2026-06-01T01:03:54.441041Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:03:54.441041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact SU(2) Yang-Mills Waves from a Simple Ansatz","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves.","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jing-Ling Chen, Yu-Xuan Zhang","submitted_at":"2026-05-06T14:24:43Z","abstract_excerpt":"We propose a simple ansatz that reduces the sourceless SU(2) Yang--Mills equations in (3+1) dimensions to nine algebraic constraints. Solving these constraints yields three closed-form families of exact wave solutions. \\textbf{Family I} embeds linear electromagnetic waves into the non-Abelian theory, with vanishing commutators and dispersion \\(\\omega = kc\\). \\textbf{Family II} describes genuinely nonlinear self-interacting waves that also propagate at the speed of light but exhibit a constant, gauge-invariant offset in the color-electric field, nonvanishing commutators, and a discrete topologi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Owing to this ansatz, the nonlinear field equations reduce to nine algebraic constraints, whose complete solution yields three families of exact waves.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The chosen y-dependent rotated Pauli basis together with the single-phase dependence θ = kz − ωt is sufficient to capture the relevant exact solutions without missing essential non-Abelian structure or introducing hidden constraints.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"8ee3b0dcb72906a93b06ddcda8eac70e3f83e1a0484f7a63a633dc86cde728c0"},"source":{"id":"2605.04964","kind":"arxiv","version":2},"verdict":{"id":"c99cc62d-9aea-44dc-8bb8-29dad2c8d532","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T16:27:37.653465Z","strongest_claim":"Owing to this ansatz, the nonlinear field equations reduce to nine algebraic constraints, whose complete solution yields three families of exact waves.","one_line_summary":"A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The chosen y-dependent rotated Pauli basis together with the single-phase dependence θ = kz − ωt is sufficient to capture the relevant exact solutions without missing essential non-Abelian structure or introducing hidden constraints.","pith_extraction_headline":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.04964/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T10:39:48.809731Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T21:31:19.914492Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T13:59:35.019483Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"7a268cc2e345b5992573be2a6060c3045e22158a726a1906286eef5bf94a82ac"},"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":"2605.04964","created_at":"2026-06-01T01:03:54.441230+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.04964v2","created_at":"2026-06-01T01:03:54.441230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.04964","created_at":"2026-06-01T01:03:54.441230+00:00"},{"alias_kind":"pith_short_12","alias_value":"E2RNBHU365Z6","created_at":"2026-06-01T01:03:54.441230+00:00"},{"alias_kind":"pith_short_16","alias_value":"E2RNBHU365Z6KLD4","created_at":"2026-06-01T01:03:54.441230+00:00"},{"alias_kind":"pith_short_8","alias_value":"E2RNBHU3","created_at":"2026-06-01T01:03:54.441230+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/E2RNBHU365Z6KLD4BY2LESCKSA","json":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA.json","graph_json":"https://pith.science/api/pith-number/E2RNBHU365Z6KLD4BY2LESCKSA/graph.json","events_json":"https://pith.science/api/pith-number/E2RNBHU365Z6KLD4BY2LESCKSA/events.json","paper":"https://pith.science/paper/E2RNBHU3"},"agent_actions":{"view_html":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA","download_json":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA.json","view_paper":"https://pith.science/paper/E2RNBHU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.04964&json=true","fetch_graph":"https://pith.science/api/pith-number/E2RNBHU365Z6KLD4BY2LESCKSA/graph.json","fetch_events":"https://pith.science/api/pith-number/E2RNBHU365Z6KLD4BY2LESCKSA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA/action/storage_attestation","attest_author":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA/action/author_attestation","sign_citation":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA/action/citation_signature","submit_replication":"https://pith.science/pith/E2RNBHU365Z6KLD4BY2LESCKSA/action/replication_record"}},"created_at":"2026-06-01T01:03:54.441230+00:00","updated_at":"2026-06-01T01:03:54.441230+00:00"}