{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WTR746RQXUVFKUNZ6537VZJD4H","short_pith_number":"pith:WTR746RQ","schema_version":"1.0","canonical_sha256":"b4e3fe7a30bd2a5551b9f777fae523e1e4a25bdf58ced014a178c44f051d3c59","source":{"kind":"arxiv","id":"1806.07790","version":4},"attestation_state":"computed","paper":{"title":"Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. Ayala, N. G. Stefanis, S. V. Mikhailov","submitted_at":"2018-06-20T15:17:00Z","abstract_excerpt":"We consider the lightcone sum-rule description of the pion-photon transition form factor, based on dispersion relations, in combination with the renormalization group of QCD, in terms of the formal solution of the Efremov-Radyushkin-Brodsky-Lepage evolution equation, and show that the emerging scheme amounts to a certain version of Fractional Analytic Perturbation Theory (FAPT). In order to ensure the correct asymptotic behavior of the considered physical quantity, this modified FAPT version has to be supplemented by process-specific boundary conditions---in contrast to the standard one. Howev"},"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":"1806.07790","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-06-20T15:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"1fa12277c93367bab8dce1c8b17c144a28044e8d81faca63577e2aa09f63026f","abstract_canon_sha256":"b182d9d24d01cdbacf39b092fcd0384af895b57e84c95305a4ac4aff6c09f8b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:17:36.730029Z","signature_b64":"vbYWkiouH8KmjvzMM2q5R+tMba1wluaAVzoMst4Z1H7bPfskBLBNGoDDBhr/8l+vTWwGVg054fVe+F1ZxPKzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4e3fe7a30bd2a5551b9f777fae523e1e4a25bdf58ced014a178c44f051d3c59","last_reissued_at":"2026-07-05T01:17:36.729617Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:17:36.729617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. Ayala, N. G. Stefanis, S. V. Mikhailov","submitted_at":"2018-06-20T15:17:00Z","abstract_excerpt":"We consider the lightcone sum-rule description of the pion-photon transition form factor, based on dispersion relations, in combination with the renormalization group of QCD, in terms of the formal solution of the Efremov-Radyushkin-Brodsky-Lepage evolution equation, and show that the emerging scheme amounts to a certain version of Fractional Analytic Perturbation Theory (FAPT). In order to ensure the correct asymptotic behavior of the considered physical quantity, this modified FAPT version has to be supplemented by process-specific boundary conditions---in contrast to the standard one. Howev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07790","kind":"arxiv","version":4},"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/1806.07790/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":"1806.07790","created_at":"2026-07-05T01:17:36.729682+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.07790v4","created_at":"2026-07-05T01:17:36.729682+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07790","created_at":"2026-07-05T01:17:36.729682+00:00"},{"alias_kind":"pith_short_12","alias_value":"WTR746RQXUVF","created_at":"2026-07-05T01:17:36.729682+00:00"},{"alias_kind":"pith_short_16","alias_value":"WTR746RQXUVFKUNZ","created_at":"2026-07-05T01:17:36.729682+00:00"},{"alias_kind":"pith_short_8","alias_value":"WTR746RQ","created_at":"2026-07-05T01:17:36.729682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.03403","citing_title":"Data-driven analysis of the $\\gamma\\gamma^*\\rightarrow\\pi^0$ system using mathematical models and the role of feedback-loop dynamics","ref_index":41,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H","json":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H.json","graph_json":"https://pith.science/api/pith-number/WTR746RQXUVFKUNZ6537VZJD4H/graph.json","events_json":"https://pith.science/api/pith-number/WTR746RQXUVFKUNZ6537VZJD4H/events.json","paper":"https://pith.science/paper/WTR746RQ"},"agent_actions":{"view_html":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H","download_json":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H.json","view_paper":"https://pith.science/paper/WTR746RQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.07790&json=true","fetch_graph":"https://pith.science/api/pith-number/WTR746RQXUVFKUNZ6537VZJD4H/graph.json","fetch_events":"https://pith.science/api/pith-number/WTR746RQXUVFKUNZ6537VZJD4H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H/action/storage_attestation","attest_author":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H/action/author_attestation","sign_citation":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H/action/citation_signature","submit_replication":"https://pith.science/pith/WTR746RQXUVFKUNZ6537VZJD4H/action/replication_record"}},"created_at":"2026-07-05T01:17:36.729682+00:00","updated_at":"2026-07-05T01:17:36.729682+00:00"}