{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:7DGJMBTOGSGEHEX3ERSHY5E5V2","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":"6cf3df2e69af0c8f673aba794f209f01963f6307ab1ddc40f120129461ae0031","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"hep-ph","submitted_at":"2001-08-15T16:40:19Z","title_canon_sha256":"bbcdd9e2d5d06e5f83ee3f9b6aca22043bc1765dafe7f261498eca0f4cf745ea"},"schema_version":"1.0","source":{"id":"hep-ph/0108127","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0108127","created_at":"2026-05-18T02:36:39Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0108127v2","created_at":"2026-05-18T02:36:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0108127","created_at":"2026-05-18T02:36:39Z"},{"alias_kind":"pith_short_12","alias_value":"7DGJMBTOGSGE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7DGJMBTOGSGEHEX3","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7DGJMBTO","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:ea35201340d1c16ac52401d48cfb98cd77e5fede096820b7cae51f87545e74fc","target":"graph","created_at":"2026-05-18T02:36:39Z","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":"We solve numerically the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations for the evolution of fragmentation functions using the Laguerre method. We extend this method to include supersymmetric evolution. The solution to the DGLAP equations is particularly interesting to calculate the expected spectra of Ultra High Energy Cosmic Rays in models where they are produced by the decay of a massive particle X, M_X > 10^{12} GeV.","authors_text":"Ramon Toldra","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-08-15T16:40:19Z","title":"A C++ Code to Solve the DGLAP Equations Applied to Ultra High Energy Cosmic Rays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0108127","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":"sha256:8e240f8e83712c7971d09a39580a52a66728fa2c08cdaa6f38dcceaf854e6009","target":"record","created_at":"2026-05-18T02:36:39Z","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":"6cf3df2e69af0c8f673aba794f209f01963f6307ab1ddc40f120129461ae0031","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"hep-ph","submitted_at":"2001-08-15T16:40:19Z","title_canon_sha256":"bbcdd9e2d5d06e5f83ee3f9b6aca22043bc1765dafe7f261498eca0f4cf745ea"},"schema_version":"1.0","source":{"id":"hep-ph/0108127","kind":"arxiv","version":2}},"canonical_sha256":"f8cc96066e348c4392fb24647c749daebffa508c1aff1075bd506030eece9d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8cc96066e348c4392fb24647c749daebffa508c1aff1075bd506030eece9d94","first_computed_at":"2026-05-18T02:36:39.459632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:39.459632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FSEmUahGXg7E4rUuKkQbE/Nu8oYTe7zKSt8S/5J3+wex98l8OshoSmZ+hPqHdGwIk1XZYGPHWbs2/SLkG4/wDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:39.460236Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0108127","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e240f8e83712c7971d09a39580a52a66728fa2c08cdaa6f38dcceaf854e6009","sha256:ea35201340d1c16ac52401d48cfb98cd77e5fede096820b7cae51f87545e74fc"],"state_sha256":"dc25a7584c97265bf4fa25bfff8a32744172fb8f526103f523e2b2c9682992f3"}