{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:RQBLTB2JWLRBOAP7ITJOEATFU7","short_pith_number":"pith:RQBLTB2J","schema_version":"1.0","canonical_sha256":"8c02b98749b2e21701ff44d2e20265a7da094391785edfdfebfdd625ba822935","source":{"kind":"arxiv","id":"1905.13198","version":2},"attestation_state":"computed","paper":{"title":"Dispersion relations for $\\gamma^*\\gamma^*\\to\\pi\\pi$: helicity amplitudes, subtractions, and anomalous thresholds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Martin Hoferichter, Peter Stoffer","submitted_at":"2019-05-30T17:37:58Z","abstract_excerpt":"We present a comprehensive analysis of the dispersion relations for the doubly-virtual process $\\gamma^*\\gamma^*\\to\\pi\\pi$. Starting from the Bardeen-Tung-Tarrach amplitudes, we first derive the kernel functions that define the system of Roy-Steiner equations for the partial-wave helicity amplitudes. We then formulate the solution of these partial-wave dispersion relations in terms of Omn\\`es functions, with special attention paid to the role of subtraction constants as critical for the application to hadronic light-by-light scattering. In particular, we explain for the first time why for some"},"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":"1905.13198","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-30T17:37:58Z","cross_cats_sorted":["hep-ex","nucl-th"],"title_canon_sha256":"258eae1ffe2bad36cac7a98f4d5a5b487a77dbf3a837cd2cb0be8d2850083030","abstract_canon_sha256":"ff9af31d9f280904c87272c8389abddae2bc3a355e5f3d7d80f22a0e3cd3f6ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:31.637451Z","signature_b64":"RJx4iW8IHij5xYNUH+eahZQ9wlRW+5uwggKT0oNi75O0SDn21fliRGRYCeofxqW8AgAL3ZMIz8VqW30KepTfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c02b98749b2e21701ff44d2e20265a7da094391785edfdfebfdd625ba822935","last_reissued_at":"2026-05-17T23:40:31.636901Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:31.636901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersion relations for $\\gamma^*\\gamma^*\\to\\pi\\pi$: helicity amplitudes, subtractions, and anomalous thresholds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Martin Hoferichter, Peter Stoffer","submitted_at":"2019-05-30T17:37:58Z","abstract_excerpt":"We present a comprehensive analysis of the dispersion relations for the doubly-virtual process $\\gamma^*\\gamma^*\\to\\pi\\pi$. Starting from the Bardeen-Tung-Tarrach amplitudes, we first derive the kernel functions that define the system of Roy-Steiner equations for the partial-wave helicity amplitudes. We then formulate the solution of these partial-wave dispersion relations in terms of Omn\\`es functions, with special attention paid to the role of subtraction constants as critical for the application to hadronic light-by-light scattering. In particular, we explain for the first time why for some"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.13198","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":"1905.13198","created_at":"2026-05-17T23:40:31.636993+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.13198v2","created_at":"2026-05-17T23:40:31.636993+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.13198","created_at":"2026-05-17T23:40:31.636993+00:00"},{"alias_kind":"pith_short_12","alias_value":"RQBLTB2JWLRB","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"RQBLTB2JWLRBOAP7","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"RQBLTB2J","created_at":"2026-05-18T12:33:27.125529+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2510.01962","citing_title":"Dispersion relations: foundations","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2512.10709","citing_title":"Disperon QED","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7","json":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7.json","graph_json":"https://pith.science/api/pith-number/RQBLTB2JWLRBOAP7ITJOEATFU7/graph.json","events_json":"https://pith.science/api/pith-number/RQBLTB2JWLRBOAP7ITJOEATFU7/events.json","paper":"https://pith.science/paper/RQBLTB2J"},"agent_actions":{"view_html":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7","download_json":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7.json","view_paper":"https://pith.science/paper/RQBLTB2J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.13198&json=true","fetch_graph":"https://pith.science/api/pith-number/RQBLTB2JWLRBOAP7ITJOEATFU7/graph.json","fetch_events":"https://pith.science/api/pith-number/RQBLTB2JWLRBOAP7ITJOEATFU7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7/action/storage_attestation","attest_author":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7/action/author_attestation","sign_citation":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7/action/citation_signature","submit_replication":"https://pith.science/pith/RQBLTB2JWLRBOAP7ITJOEATFU7/action/replication_record"}},"created_at":"2026-05-17T23:40:31.636993+00:00","updated_at":"2026-05-17T23:40:31.636993+00:00"}