{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:AUYROTDYFQYYU4BY4TBIO45HTV","short_pith_number":"pith:AUYROTDY","schema_version":"1.0","canonical_sha256":"0531174c782c318a7038e4c28773a79d6e9b5a2aa8773eee13fea35518b0d1a0","source":{"kind":"arxiv","id":"2504.20899","version":2},"attestation_state":"computed","paper":{"title":"Timelike form factor for the anomalous process $\\gamma^\\ast \\pi \\rightarrow \\pi \\pi$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Angel S. Miramontes, Gernot Eichmann, Reinhard Alkofer","submitted_at":"2025-04-29T16:15:43Z","abstract_excerpt":"The form factor $F_{3\\pi}(s,t,u)$ for the anomalous process $\\gamma^\\ast \\pi \\rightarrow \\pi \\pi$ is calculated in the isospin limit for several values of the light current-quark mass (i.e., the pion mass) using Dyson-Schwinger and Bethe-Salpeter equations. Beyond a quark interaction kernel representing gluon-mediated interactions, leading beyond-rainbow-ladder effects at low energies are incorporated by back-coupling pions as explicit degrees of freedom. Building upon an earlier calculation of the quark-photon vertex that captures the branch cut associated with the two-pion threshold and the "},"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":"2504.20899","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-04-29T16:15:43Z","cross_cats_sorted":["hep-ex","nucl-th"],"title_canon_sha256":"b87f9eb7390ac49d36f28b47dfc49c83ac2553453c3d3839889b234ea2b4c353","abstract_canon_sha256":"db8088e266868fc3782c410b81126f833c4bc383bd7dfa5791d7978a7734bae0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:24:19.306793Z","signature_b64":"RLPi6PUp19Ejf+OnnQslpSTLoIHO0z4LIynycBUi/gTthqIGt7+WVpuNnjT6tkjzIbJi7x4Q6yXfr8xG9FsWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0531174c782c318a7038e4c28773a79d6e9b5a2aa8773eee13fea35518b0d1a0","last_reissued_at":"2026-07-05T11:24:19.306294Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:24:19.306294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Timelike form factor for the anomalous process $\\gamma^\\ast \\pi \\rightarrow \\pi \\pi$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Angel S. Miramontes, Gernot Eichmann, Reinhard Alkofer","submitted_at":"2025-04-29T16:15:43Z","abstract_excerpt":"The form factor $F_{3\\pi}(s,t,u)$ for the anomalous process $\\gamma^\\ast \\pi \\rightarrow \\pi \\pi$ is calculated in the isospin limit for several values of the light current-quark mass (i.e., the pion mass) using Dyson-Schwinger and Bethe-Salpeter equations. Beyond a quark interaction kernel representing gluon-mediated interactions, leading beyond-rainbow-ladder effects at low energies are incorporated by back-coupling pions as explicit degrees of freedom. Building upon an earlier calculation of the quark-photon vertex that captures the branch cut associated with the two-pion threshold and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.20899","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.20899/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2504.20899","created_at":"2026-07-05T11:24:19.306352+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.20899v2","created_at":"2026-07-05T11:24:19.306352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.20899","created_at":"2026-07-05T11:24:19.306352+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUYROTDYFQYY","created_at":"2026-07-05T11:24:19.306352+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUYROTDYFQYYU4BY","created_at":"2026-07-05T11:24:19.306352+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUYROTDY","created_at":"2026-07-05T11:24:19.306352+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/AUYROTDYFQYYU4BY4TBIO45HTV","json":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV.json","graph_json":"https://pith.science/api/pith-number/AUYROTDYFQYYU4BY4TBIO45HTV/graph.json","events_json":"https://pith.science/api/pith-number/AUYROTDYFQYYU4BY4TBIO45HTV/events.json","paper":"https://pith.science/paper/AUYROTDY"},"agent_actions":{"view_html":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV","download_json":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV.json","view_paper":"https://pith.science/paper/AUYROTDY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.20899&json=true","fetch_graph":"https://pith.science/api/pith-number/AUYROTDYFQYYU4BY4TBIO45HTV/graph.json","fetch_events":"https://pith.science/api/pith-number/AUYROTDYFQYYU4BY4TBIO45HTV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV/action/storage_attestation","attest_author":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV/action/author_attestation","sign_citation":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV/action/citation_signature","submit_replication":"https://pith.science/pith/AUYROTDYFQYYU4BY4TBIO45HTV/action/replication_record"}},"created_at":"2026-07-05T11:24:19.306352+00:00","updated_at":"2026-07-05T11:24:19.306352+00:00"}