{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PH6IFT6MENCYI74KAYGZEPJQCJ","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":"75223341254fec0e6306e5fea5149f0d4a01171769d81a49b641613e81337787","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-26T12:51:02Z","title_canon_sha256":"0fba95821dc719881540786e17cfa1ce721e6ac2258b0267453735e550ed4fa7"},"schema_version":"1.0","source":{"id":"1701.07678","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07678","created_at":"2026-05-18T00:31:22Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07678v3","created_at":"2026-05-18T00:31:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07678","created_at":"2026-05-18T00:31:22Z"},{"alias_kind":"pith_short_12","alias_value":"PH6IFT6MENCY","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PH6IFT6MENCYI74K","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PH6IFT6M","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:cd447a1d8d89dc84cdb3e89c407bce90d421ea5e1f0773e153a4b5e1ae52c458","target":"graph","created_at":"2026-05-18T00:31:22Z","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 present a new procedure to determine Parton Distribution Functions (PDFs), based on Markov Chain Monte Carlo (MCMC) methods. The aim of this paper is to show that we can replace the standard $\\chi^2$ minimization by procedures grounded on Statistical Methods, and on Bayesian inference in particular, thus offering additional insight into the rich field of PDFs determination. After a basic introduction to these technics, we introduce the algorithm we have chosen to implement -- namely Hybrid (or Hamiltonian) Monte Carlo. This algorithm, initially developed for Lattice QCD, turns out to be ver","authors_text":"Mariane Mangin-Brinet, Y\\'emalin Gabin Gbedo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-26T12:51:02Z","title":"Markov Chain Monte Carlo technics applied to Parton Distribution Functions determination: proof of concept"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07678","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:c4051ebbe4193a07b599111d2de086a40fc107e9092e3202da46efa7a4aad185","target":"record","created_at":"2026-05-18T00:31:22Z","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":"75223341254fec0e6306e5fea5149f0d4a01171769d81a49b641613e81337787","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-26T12:51:02Z","title_canon_sha256":"0fba95821dc719881540786e17cfa1ce721e6ac2258b0267453735e550ed4fa7"},"schema_version":"1.0","source":{"id":"1701.07678","kind":"arxiv","version":3}},"canonical_sha256":"79fc82cfcc2345847f8a060d923d30126778abd5b99585ea1ade906b9accbaaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79fc82cfcc2345847f8a060d923d30126778abd5b99585ea1ade906b9accbaaf","first_computed_at":"2026-05-18T00:31:22.128990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:22.128990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E5awqVzLFzIt9vY9xsYFIcGOYAaSjHVD1iXR2rYAD7op5nhBPEKAsaZ96byxL/+8cHAJQu9mhj2+PjvXGqGqAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:22.129505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07678","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4051ebbe4193a07b599111d2de086a40fc107e9092e3202da46efa7a4aad185","sha256:cd447a1d8d89dc84cdb3e89c407bce90d421ea5e1f0773e153a4b5e1ae52c458"],"state_sha256":"2c948593a69740d6d4f855d5369a078d4465879458612115cddd9bffd3fc76d8"}