{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:24ADR2UVZUJMYNJNUU6VXD6JDI","short_pith_number":"pith:24ADR2UV","schema_version":"1.0","canonical_sha256":"d70038ea95cd12cc352da53d5b8fc91a346769223a1dadfa9aadadfbf2483958","source":{"kind":"arxiv","id":"2209.09015","version":3},"attestation_state":"computed","paper":{"title":"Resummation of threshold logarithms in deeply-virtual Compton scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jakob Schoenleber","submitted_at":"2022-09-19T13:50:48Z","abstract_excerpt":"I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\\frac{\\alpha_s^n}{x \\pm \\xi} \\log (\\frac{\\xi \\pm x}{2\\xi})^k$ in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the $x \\rightarrow \\pm \\xi$ limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis"},"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":"2209.09015","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-09-19T13:50:48Z","cross_cats_sorted":[],"title_canon_sha256":"aba087849e99632725ddfe1f1f26deadc3a282a9a735ebd3cae51430c1d80362","abstract_canon_sha256":"15ae3242d39f160e30545f8d7aaa639ac59cbf08b55510b0a4398b346abac0c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:53:00.430956Z","signature_b64":"9+I3e7F9DuLNpH1j+Jm8kBCIMKIKUin+Rd9PzT3g67Ccpz2nQvE/TGzUkxcFBFQUi/ePtnXyYd9WRr21JaLuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d70038ea95cd12cc352da53d5b8fc91a346769223a1dadfa9aadadfbf2483958","last_reissued_at":"2026-07-05T05:53:00.430613Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:53:00.430613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resummation of threshold logarithms in deeply-virtual Compton scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jakob Schoenleber","submitted_at":"2022-09-19T13:50:48Z","abstract_excerpt":"I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\\frac{\\alpha_s^n}{x \\pm \\xi} \\log (\\frac{\\xi \\pm x}{2\\xi})^k$ in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the $x \\rightarrow \\pm \\xi$ limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.09015","kind":"arxiv","version":3},"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/2209.09015/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":"2209.09015","created_at":"2026-07-05T05:53:00.430671+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.09015v3","created_at":"2026-07-05T05:53:00.430671+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.09015","created_at":"2026-07-05T05:53:00.430671+00:00"},{"alias_kind":"pith_short_12","alias_value":"24ADR2UVZUJM","created_at":"2026-07-05T05:53:00.430671+00:00"},{"alias_kind":"pith_short_16","alias_value":"24ADR2UVZUJMYNJN","created_at":"2026-07-05T05:53:00.430671+00:00"},{"alias_kind":"pith_short_8","alias_value":"24ADR2UV","created_at":"2026-07-05T05:53:00.430671+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.19225","citing_title":"Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness","ref_index":119,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI","json":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI.json","graph_json":"https://pith.science/api/pith-number/24ADR2UVZUJMYNJNUU6VXD6JDI/graph.json","events_json":"https://pith.science/api/pith-number/24ADR2UVZUJMYNJNUU6VXD6JDI/events.json","paper":"https://pith.science/paper/24ADR2UV"},"agent_actions":{"view_html":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI","download_json":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI.json","view_paper":"https://pith.science/paper/24ADR2UV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.09015&json=true","fetch_graph":"https://pith.science/api/pith-number/24ADR2UVZUJMYNJNUU6VXD6JDI/graph.json","fetch_events":"https://pith.science/api/pith-number/24ADR2UVZUJMYNJNUU6VXD6JDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI/action/storage_attestation","attest_author":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI/action/author_attestation","sign_citation":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI/action/citation_signature","submit_replication":"https://pith.science/pith/24ADR2UVZUJMYNJNUU6VXD6JDI/action/replication_record"}},"created_at":"2026-07-05T05:53:00.430671+00:00","updated_at":"2026-07-05T05:53:00.430671+00:00"}