{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7CSHJPZWKB5LGQIPYG6BAVCHAC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"54e39d04a6d9603fb8858bd7fae08897f5613f13604fb50e8daed7babb0c6bf4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-08T13:13:30Z","title_canon_sha256":"e56a162fbf173ac65bb796f53f28df45ed558038f427235db26d20aff9918155"},"schema_version":"1.0","source":{"id":"1102.1599","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1599","created_at":"2026-05-18T04:25:10Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1599v2","created_at":"2026-05-18T04:25:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1599","created_at":"2026-05-18T04:25:10Z"},{"alias_kind":"pith_short_12","alias_value":"7CSHJPZWKB5L","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7CSHJPZWKB5LGQIP","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7CSHJPZW","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:e70571ba1426b045ec9e4719c8cbd8b67cb62f7bf60d0309e3e1dc43c66fd9f4","target":"graph","created_at":"2026-05-18T04:25:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Models of hadron structure are associated with a hadronic scale which allows by perturbative evolution to calculate observables in the deep inelastic region. The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum dependence which is free from infrared divergences. We use this new development to understand why perturbative treatments are working reasonably well despite the smallness of the hadronic scale.","authors_text":"A. Courtoy, S. Scopetta, V. Vento","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-08T13:13:30Z","title":"Non-perturbative momentum dependence of the coupling constant and hadronic models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1599","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0cfc4c969ed4ab1720fd9c02878a831c219bb1daadb876abf467714fa7afacbc","target":"record","created_at":"2026-05-18T04:25:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"54e39d04a6d9603fb8858bd7fae08897f5613f13604fb50e8daed7babb0c6bf4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-08T13:13:30Z","title_canon_sha256":"e56a162fbf173ac65bb796f53f28df45ed558038f427235db26d20aff9918155"},"schema_version":"1.0","source":{"id":"1102.1599","kind":"arxiv","version":2}},"canonical_sha256":"f8a474bf36507ab3410fc1bc10544700b0272fdf88ead699590529fc89a90cdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8a474bf36507ab3410fc1bc10544700b0272fdf88ead699590529fc89a90cdd","first_computed_at":"2026-05-18T04:25:10.747579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:10.747579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FUBH4fJy+J9cZksCsmKnZpMOuPhJEZznE/9sgiidZ0MdLeOMGdfHO73gk/cFYeWfEJTPRZnTFzJN0SToD9GfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:10.748069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1599","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cfc4c969ed4ab1720fd9c02878a831c219bb1daadb876abf467714fa7afacbc","sha256:e70571ba1426b045ec9e4719c8cbd8b67cb62f7bf60d0309e3e1dc43c66fd9f4"],"state_sha256":"30fd12648089f5f40614b4cce3761cd746c18070b6083fc01d3a8df0932f17c7"}