{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EUX6IMCZE6OOZZLMTXZ2WXWSNC","short_pith_number":"pith:EUX6IMCZ","schema_version":"1.0","canonical_sha256":"252fe43059279cece56c9df3ab5ed268a7fa207b5529b441f695064173d2302a","source":{"kind":"arxiv","id":"1702.07347","version":2},"attestation_state":"computed","paper":{"title":"Dispersion relation for hadronic light-by-light scattering: two-pion contributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-lat","nucl-th"],"primary_cat":"hep-ph","authors_text":"Gilberto Colangelo, Martin Hoferichter, Massimiliano Procura, Peter Stoffer","submitted_at":"2017-02-23T19:00:00Z","abstract_excerpt":"In this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the HLbL contribution to the anomalous magnetic moment of the muon $(g-2)_\\mu$, including a detailed discussion of the unitarity relation for arbitrary partial waves. We show that obtaining a final expression free from unphysical helicity partial waves is a subtle issue, which we thoroughly clarify. As a by-product, we obtain a set of sum rules that could be used to constrain future calculations of $\\gamma^*\\g"},"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":"1702.07347","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-02-23T19:00:00Z","cross_cats_sorted":["hep-ex","hep-lat","nucl-th"],"title_canon_sha256":"3ad9fc7f417228c22ff7ee397bf2805ffee1707219ecc894aa06f9585db5d4ca","abstract_canon_sha256":"0f67c24e9e912470980fd6fa15b71cee63f69687a66f3e16a3f6348e85f542a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:19.610918Z","signature_b64":"D6A0tgou+iKN6CyWEzrkwqgoJV5KpjYcaTc0DdstWldfAlki2JRyNUMUMwBVVxWr3RMBB4fzj///A90u/EXnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"252fe43059279cece56c9df3ab5ed268a7fa207b5529b441f695064173d2302a","last_reissued_at":"2026-05-18T00:45:19.609555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:19.609555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersion relation for hadronic light-by-light scattering: two-pion contributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-lat","nucl-th"],"primary_cat":"hep-ph","authors_text":"Gilberto Colangelo, Martin Hoferichter, Massimiliano Procura, Peter Stoffer","submitted_at":"2017-02-23T19:00:00Z","abstract_excerpt":"In this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the HLbL contribution to the anomalous magnetic moment of the muon $(g-2)_\\mu$, including a detailed discussion of the unitarity relation for arbitrary partial waves. We show that obtaining a final expression free from unphysical helicity partial waves is a subtle issue, which we thoroughly clarify. As a by-product, we obtain a set of sum rules that could be used to constrain future calculations of $\\gamma^*\\g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07347","kind":"arxiv","version":2},"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":"1702.07347","created_at":"2026-05-18T00:45:19.609635+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07347v2","created_at":"2026-05-18T00:45:19.609635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07347","created_at":"2026-05-18T00:45:19.609635+00:00"},{"alias_kind":"pith_short_12","alias_value":"EUX6IMCZE6OO","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EUX6IMCZE6OOZZLM","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EUX6IMCZ","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":13,"internal_anchor_count":12,"sample":[{"citing_arxiv_id":"2606.26752","citing_title":"Global analysis of a minimally extended scotogenic model","ref_index":47,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09768","citing_title":"Dispersive analysis of the $\\boldsymbol{J/\\psi \\to \\gamma \\pi^0 \\pi^0}$ process","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00564","citing_title":"Isospin-breaking effects in inclusive hadronic $\\tau$ data for the muon $(g-2)$ from first principles","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2606.26752","citing_title":"Global analysis of a minimally extended scotogenic model","ref_index":47,"is_internal_anchor":true},{"citing_arxiv_id":"2006.04822","citing_title":"The anomalous magnetic moment of the muon in the Standard Model","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2510.18564","citing_title":"The Muonic Portal to Vector Dark Matter:connecting precision muon physics, cosmology, and colliders","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2510.13966","citing_title":"Light new physics and the $\\tau$ lepton dipole moments: prospects at Belle II","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2511.03786","citing_title":"Light new physics and the $\\tau$ lepton dipole moments","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2512.10709","citing_title":"Disperon QED","ref_index":98,"is_internal_anchor":true},{"citing_arxiv_id":"2512.13776","citing_title":"Improved Standard-Model predictions for $\\eta^{(\\prime)}\\to \\ell^+ \\ell^-$","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2512.18382","citing_title":"Lepton anomalous magnetic moments: Theory","ref_index":291,"is_internal_anchor":true},{"citing_arxiv_id":"2505.21476","citing_title":"The anomalous magnetic moment of the muon in the Standard Model: an update","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2604.25004","citing_title":"Muon $g$$-$2: correlation-induced uncertainties in precision data combinations","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC","json":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC.json","graph_json":"https://pith.science/api/pith-number/EUX6IMCZE6OOZZLMTXZ2WXWSNC/graph.json","events_json":"https://pith.science/api/pith-number/EUX6IMCZE6OOZZLMTXZ2WXWSNC/events.json","paper":"https://pith.science/paper/EUX6IMCZ"},"agent_actions":{"view_html":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC","download_json":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC.json","view_paper":"https://pith.science/paper/EUX6IMCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07347&json=true","fetch_graph":"https://pith.science/api/pith-number/EUX6IMCZE6OOZZLMTXZ2WXWSNC/graph.json","fetch_events":"https://pith.science/api/pith-number/EUX6IMCZE6OOZZLMTXZ2WXWSNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC/action/storage_attestation","attest_author":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC/action/author_attestation","sign_citation":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC/action/citation_signature","submit_replication":"https://pith.science/pith/EUX6IMCZE6OOZZLMTXZ2WXWSNC/action/replication_record"}},"created_at":"2026-05-18T00:45:19.609635+00:00","updated_at":"2026-05-18T00:45:19.609635+00:00"}