{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:PHO7G22LJCOXTVZVX4743BMO5D","short_pith_number":"pith:PHO7G22L","canonical_record":{"source":{"id":"2404.02964","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-04-03T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"1c97a38b7eff433da3808cb02c7df4eb399063691dfd558baa7ebf17b753fc18","abstract_canon_sha256":"c973ce82c291ea7ab86d887c9394cb8fd04e0747ce1a75a6b6892b9fa75cc3f5"},"schema_version":"1.0"},"canonical_sha256":"79ddf36b4b489d79d735bf3fcd858ee8f6698fb10752a5a1892eb443f382bccc","source":{"kind":"arxiv","id":"2404.02964","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02964","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02964v1","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02964","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"PHO7G22LJCOX","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"pith_short_16","alias_value":"PHO7G22LJCOXTVZV","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"pith_short_8","alias_value":"PHO7G22L","created_at":"2026-07-05T08:04:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:PHO7G22LJCOXTVZVX4743BMO5D","target":"record","payload":{"canonical_record":{"source":{"id":"2404.02964","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-04-03T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"1c97a38b7eff433da3808cb02c7df4eb399063691dfd558baa7ebf17b753fc18","abstract_canon_sha256":"c973ce82c291ea7ab86d887c9394cb8fd04e0747ce1a75a6b6892b9fa75cc3f5"},"schema_version":"1.0"},"canonical_sha256":"79ddf36b4b489d79d735bf3fcd858ee8f6698fb10752a5a1892eb443f382bccc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:04:04.272029Z","signature_b64":"2pE4SB7KM2bfJfHhThCREOMwOfe2JfvkTYgyloSSzcWduvTAVi7ItZo4lAwquCQj2xmAumWlr+DWs3coX1lSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79ddf36b4b489d79d735bf3fcd858ee8f6698fb10752a5a1892eb443f382bccc","last_reissued_at":"2026-07-05T08:04:04.271554Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:04:04.271554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.02964","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:04:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4tpq3edDZSkF8AHcsMuHLbfCnM7zPfHJdHsBmWKr4F7ad3z3GwQt5t04TWBNsRy6CMo6D5btzimgcXb3XrUKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:31:40.199417Z"},"content_sha256":"c11015f8f044f8e3792dc425fe5cd79bc1f7691955fbcc9a879a8826951d495a","schema_version":"1.0","event_id":"sha256:c11015f8f044f8e3792dc425fe5cd79bc1f7691955fbcc9a879a8826951d495a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:PHO7G22LJCOXTVZVX4743BMO5D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A first determination of the strong coupling $\\alpha_S$ at approximate N$^{3}$LO order in a global PDF fit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"L.A. Harland-Lang, R.S. Thorne, T. Cridge","submitted_at":"2024-04-03T18:00:02Z","abstract_excerpt":"We present the first determination of the value of the strong coupling via a simultaneous global fit of the proton parton distribution functions (PDFs) at approximate N$^{3}$LO (aN$^{3}$LO) order in QCD. This makes use of the MSHT global PDF fitting framework, and in particular the recent theoretical advances that allow a PDF fit to now be performed at this order. The value of the strong coupling is found to be $\\alpha_S(M_Z^2)$(aN$^{3}$LO)$ = 0.1170 \\pm 0.0016$. This is in excellent agreement with the NNLO value of $\\alpha_S(M_Z^2)$(NNLO) $= 0.1171 \\pm 0.0014$, indicating that good perturbati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02964","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.02964/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:04:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ivn62QLYkX+iV/L99DSIsKWGm9PNi6jMd1osZy1EeUc7sVUXyaBRmNFdlac4Xbz3QSTPG2Zwel34Lmu2uBOABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:31:40.199930Z"},"content_sha256":"6a23d4a54809177e612667efe6c49efc8083a4fa4dcc640cae2de70222e7bb97","schema_version":"1.0","event_id":"sha256:6a23d4a54809177e612667efe6c49efc8083a4fa4dcc640cae2de70222e7bb97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PHO7G22LJCOXTVZVX4743BMO5D/bundle.json","state_url":"https://pith.science/pith/PHO7G22LJCOXTVZVX4743BMO5D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PHO7G22LJCOXTVZVX4743BMO5D/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-22T06:31:40Z","links":{"resolver":"https://pith.science/pith/PHO7G22LJCOXTVZVX4743BMO5D","bundle":"https://pith.science/pith/PHO7G22LJCOXTVZVX4743BMO5D/bundle.json","state":"https://pith.science/pith/PHO7G22LJCOXTVZVX4743BMO5D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PHO7G22LJCOXTVZVX4743BMO5D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PHO7G22LJCOXTVZVX4743BMO5D","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":"c973ce82c291ea7ab86d887c9394cb8fd04e0747ce1a75a6b6892b9fa75cc3f5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-04-03T18:00:02Z","title_canon_sha256":"1c97a38b7eff433da3808cb02c7df4eb399063691dfd558baa7ebf17b753fc18"},"schema_version":"1.0","source":{"id":"2404.02964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02964","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02964v1","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02964","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"PHO7G22LJCOX","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"pith_short_16","alias_value":"PHO7G22LJCOXTVZV","created_at":"2026-07-05T08:04:04Z"},{"alias_kind":"pith_short_8","alias_value":"PHO7G22L","created_at":"2026-07-05T08:04:04Z"}],"graph_snapshots":[{"event_id":"sha256:6a23d4a54809177e612667efe6c49efc8083a4fa4dcc640cae2de70222e7bb97","target":"graph","created_at":"2026-07-05T08:04:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.02964/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the first determination of the value of the strong coupling via a simultaneous global fit of the proton parton distribution functions (PDFs) at approximate N$^{3}$LO (aN$^{3}$LO) order in QCD. This makes use of the MSHT global PDF fitting framework, and in particular the recent theoretical advances that allow a PDF fit to now be performed at this order. The value of the strong coupling is found to be $\\alpha_S(M_Z^2)$(aN$^{3}$LO)$ = 0.1170 \\pm 0.0016$. This is in excellent agreement with the NNLO value of $\\alpha_S(M_Z^2)$(NNLO) $= 0.1171 \\pm 0.0014$, indicating that good perturbati","authors_text":"L.A. Harland-Lang, R.S. Thorne, T. Cridge","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-04-03T18:00:02Z","title":"A first determination of the strong coupling $\\alpha_S$ at approximate N$^{3}$LO order in a global PDF fit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02964","kind":"arxiv","version":1},"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:c11015f8f044f8e3792dc425fe5cd79bc1f7691955fbcc9a879a8826951d495a","target":"record","created_at":"2026-07-05T08:04:04Z","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":"c973ce82c291ea7ab86d887c9394cb8fd04e0747ce1a75a6b6892b9fa75cc3f5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-04-03T18:00:02Z","title_canon_sha256":"1c97a38b7eff433da3808cb02c7df4eb399063691dfd558baa7ebf17b753fc18"},"schema_version":"1.0","source":{"id":"2404.02964","kind":"arxiv","version":1}},"canonical_sha256":"79ddf36b4b489d79d735bf3fcd858ee8f6698fb10752a5a1892eb443f382bccc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79ddf36b4b489d79d735bf3fcd858ee8f6698fb10752a5a1892eb443f382bccc","first_computed_at":"2026-07-05T08:04:04.271554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:04:04.271554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2pE4SB7KM2bfJfHhThCREOMwOfe2JfvkTYgyloSSzcWduvTAVi7ItZo4lAwquCQj2xmAumWlr+DWs3coX1lSBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:04:04.272029Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.02964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c11015f8f044f8e3792dc425fe5cd79bc1f7691955fbcc9a879a8826951d495a","sha256:6a23d4a54809177e612667efe6c49efc8083a4fa4dcc640cae2de70222e7bb97"],"state_sha256":"630fac2eacf23ceac6be90d0f321b215f2614548b33f8e9d944fe88a07a3fd79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ct6mpA8i5B12r9wdELO193Q/eoyvk9uzrTgkQrTanbeKUzbdmre0fPCmjB/BmjqITqCADi3x59RKdL18lPP/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T06:31:40.203643Z","bundle_sha256":"ff3b5f07dc8c3c29685f27356dc6483c666e6def684713581f386b98b07912e4"}}