{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LU7ICWGHWRR7NPCPYEE57UBPS3","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":"fab73f35c878ae31db032a16fe9a449c824f82893c832575030373f94f396800","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-03T15:07:29Z","title_canon_sha256":"957509ad53a9bb9e63b9eeca56d0719ef4a8f42bbaf505f71e8d7b0406f76a4d"},"schema_version":"1.0","source":{"id":"1708.01255","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01255","created_at":"2026-05-18T00:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01255v2","created_at":"2026-05-18T00:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01255","created_at":"2026-05-18T00:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"LU7ICWGHWRR7","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LU7ICWGHWRR7NPCP","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LU7ICWGH","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:549e1222c5ee2c93b4f2310babd936d5341fe9913e75ba036a95a84f73f45c9a","target":"graph","created_at":"2026-05-18T00:33:01Z","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":"In high-energy hadron-hadron collisions, the dependence of the total cross-section ($\\sigma_{tot}$) with the energy still constitutes an open problem for QCD. Phenomenological analyses usually relies on analytic parameterizations provided by the Regge-Gribov formalism and fits to the experimental data. In this framework, the singularities of the scattering amplitude in the complex angular momentum plane determine the asymptotic behavior of $\\sigma_{tot}$ in terms of the energy. Usual applications connect simple and triple pole singularities with asymptotic power and logarithmic-squared functio","authors_text":"E. Capelas de Oliveira, M.J. Menon, P.V.R.G. Silva","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-03T15:07:29Z","title":"Analytic components for the hadronic total cross-section: Fractional calculus and Mellin transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01255","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:a06a55c256febaf745fc26f1f7b19435d11d972474b9344057216b4479ed3a22","target":"record","created_at":"2026-05-18T00:33:01Z","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":"fab73f35c878ae31db032a16fe9a449c824f82893c832575030373f94f396800","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-03T15:07:29Z","title_canon_sha256":"957509ad53a9bb9e63b9eeca56d0719ef4a8f42bbaf505f71e8d7b0406f76a4d"},"schema_version":"1.0","source":{"id":"1708.01255","kind":"arxiv","version":2}},"canonical_sha256":"5d3e8158c7b463f6bc4fc109dfd02f96d16f593740560f3667e0cd77cbcd8d74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d3e8158c7b463f6bc4fc109dfd02f96d16f593740560f3667e0cd77cbcd8d74","first_computed_at":"2026-05-18T00:33:01.819643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:01.819643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L/HFULB38UQMrcDo5TNxt+dYNyscv1L+diukcBapwbgKIy31G99nekhmN8tF54hKs3Z9ccNdt7hEaJWY0CaaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:01.820141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01255","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a06a55c256febaf745fc26f1f7b19435d11d972474b9344057216b4479ed3a22","sha256:549e1222c5ee2c93b4f2310babd936d5341fe9913e75ba036a95a84f73f45c9a"],"state_sha256":"52032d4d32783282d267cd15f9e91f774610d629be19963c1bb65a5c65f92b22"}