{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2D2PXXAXE5E65I4RLCF7MO7JED","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":"247885334de109c2da61787ab93c40556d6d9200b8a4d308eb53330596117116","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-14T07:27:27Z","title_canon_sha256":"634565ac239517f1995d194c228e9c35aa3a9557952158162bd95f286e56109f"},"schema_version":"1.0","source":{"id":"1601.03508","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03508","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03508v3","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03508","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"pith_short_12","alias_value":"2D2PXXAXE5E6","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2D2PXXAXE5E65I4R","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2D2PXXAX","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:af352e31b047213b8548a56de51ac76a05d513514d5e982af99d245f486c619a","target":"graph","created_at":"2026-05-18T00:49:06Z","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":"An analytical solution based on the Laplace transformation technique for the DGLAP evolution equations is presented at next-to-leading order accuracy in perturbative QCD. This technique is also applied to extract the analytical solution for the proton structure function, $F_2^p(x, Q^2)$, in the Laplace $s$-space. We present the results for the separate parton distributions for all parton species, including valence quark densities, the anti-quark and strange sea parton distribution functions (PDFs), and the gluon distribution. We successfully compare the obtained parton distribution functions a","authors_text":"Abolfazl Mirjalili, Hamzeh Khanpour, S. Atashbar Tehrani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-14T07:27:27Z","title":"Analytic derivation of the next-to-leading order proton structure function $F_2^p(x, Q^2)$ based on the Laplace transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03508","kind":"arxiv","version":3},"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":"sha256:9a8a6447d61e28e287b659b52d27d40804f37fd95c804f316f69fe49865a7ac5","target":"record","created_at":"2026-05-18T00:49:06Z","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":"247885334de109c2da61787ab93c40556d6d9200b8a4d308eb53330596117116","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-14T07:27:27Z","title_canon_sha256":"634565ac239517f1995d194c228e9c35aa3a9557952158162bd95f286e56109f"},"schema_version":"1.0","source":{"id":"1601.03508","kind":"arxiv","version":3}},"canonical_sha256":"d0f4fbdc172749eea391588bf63be920f1f7ca9fabbd4051fb98b8b7f99c6fd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0f4fbdc172749eea391588bf63be920f1f7ca9fabbd4051fb98b8b7f99c6fd9","first_computed_at":"2026-05-18T00:49:06.903293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:06.903293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ScNSYQ19sUgNKVoE6KBbXfn3ZE3KN8omLWmMT5Esd+P8DUUdXxRh8Iqhrtwr+Uv0SFprlvKvzpi0jgoG77LzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:06.903711Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03508","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a8a6447d61e28e287b659b52d27d40804f37fd95c804f316f69fe49865a7ac5","sha256:af352e31b047213b8548a56de51ac76a05d513514d5e982af99d245f486c619a"],"state_sha256":"1215d4390072c718464533aeff204edae60ef461193aa01021c029aef4edcdae"}