{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GKGLII2RN3BD7UVSBMUU2IQFAU","short_pith_number":"pith:GKGLII2R","canonical_record":{"source":{"id":"1812.09258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-20T15:26:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4919a1bf9b5f0fa795d815c091ba26dca936bcc9b2b3d0b78647fd4627df0c2d","abstract_canon_sha256":"eb992eb8fab55aa3bbcff50d85c90f444a4b1ef8c45e9edf2864174575a11bf8"},"schema_version":"1.0"},"canonical_sha256":"328cb423516ec23fd2b20b294d2205052fa645fe7dcf8973a1522b40105de73f","source":{"kind":"arxiv","id":"1812.09258","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09258","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09258v1","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09258","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"GKGLII2RN3BD","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"pith_short_16","alias_value":"GKGLII2RN3BD7UVS","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"pith_short_8","alias_value":"GKGLII2R","created_at":"2026-07-05T00:13:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GKGLII2RN3BD7UVSBMUU2IQFAU","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-20T15:26:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4919a1bf9b5f0fa795d815c091ba26dca936bcc9b2b3d0b78647fd4627df0c2d","abstract_canon_sha256":"eb992eb8fab55aa3bbcff50d85c90f444a4b1ef8c45e9edf2864174575a11bf8"},"schema_version":"1.0"},"canonical_sha256":"328cb423516ec23fd2b20b294d2205052fa645fe7dcf8973a1522b40105de73f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:13:39.835334Z","signature_b64":"T71PWmzv6Rk+7WAH/PS8aMZgO7+952oVD0pi73QqJj+xGGHAF0rHWCFLl10Csd1XM/QvA43IlUGfWulrDb8FBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"328cb423516ec23fd2b20b294d2205052fa645fe7dcf8973a1522b40105de73f","last_reissued_at":"2026-07-05T00:13:39.834913Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:13:39.834913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09258","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":"2026-07-05T00:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mE+c1kGlnICVbq1tZ+a+zFRR0KDe+3nBxVBRDog17+eM3mOj+d4aDUPhhtrI6OPXF1Lh13UBALtFI8JK7r7/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:52:56.978509Z"},"content_sha256":"bdbed7e324d8a28913c9a4966aa03dce5c6e217df2bc54ddc732f59dd07755e0","schema_version":"1.0","event_id":"sha256:bdbed7e324d8a28913c9a4966aa03dce5c6e217df2bc54ddc732f59dd07755e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GKGLII2RN3BD7UVSBMUU2IQFAU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The least squares method: application to analysis of the flavor dependence of the QCD relation between pole and $\\rm{\\overline{MS}}$-scheme running heavy quark masses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"A.L. Kataev, V.S. Molokoedov","submitted_at":"2018-12-20T15:26:31Z","abstract_excerpt":"The features of the ordinary least squares method, which gives a possible way to a solution of the overdetermined systems of algebraic equations and allows to estimate the uncertainties of the obtained solutions, are considered. As the important physical example we define four-loop QCD coefficients in the dependence of the relation between pole and running heavy quarks masses on the number of light flavors, using the existing results of numerical supercomputer based calculations of the corresponding four-loop contributions at different fixed numbers of light flavors. Stability of the found sol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09258","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/1812.09258/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":"2026-07-05T00:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A+yPF2Rb73A6TltCWg6I/sMp7yHTHHlM7uISZQsRArH7EdBjcBZv9E1yU5FTiyVtHSaGymN2+xZ+7FLftVRfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:52:56.979157Z"},"content_sha256":"27a3a343ce193e5dd0be949b2abe18378f428c3136735a0ce69eacf6c7bbb19a","schema_version":"1.0","event_id":"sha256:27a3a343ce193e5dd0be949b2abe18378f428c3136735a0ce69eacf6c7bbb19a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GKGLII2RN3BD7UVSBMUU2IQFAU/bundle.json","state_url":"https://pith.science/pith/GKGLII2RN3BD7UVSBMUU2IQFAU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GKGLII2RN3BD7UVSBMUU2IQFAU/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":"2026-08-08T08:52:56Z","links":{"resolver":"https://pith.science/pith/GKGLII2RN3BD7UVSBMUU2IQFAU","bundle":"https://pith.science/pith/GKGLII2RN3BD7UVSBMUU2IQFAU/bundle.json","state":"https://pith.science/pith/GKGLII2RN3BD7UVSBMUU2IQFAU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GKGLII2RN3BD7UVSBMUU2IQFAU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GKGLII2RN3BD7UVSBMUU2IQFAU","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":"eb992eb8fab55aa3bbcff50d85c90f444a4b1ef8c45e9edf2864174575a11bf8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-20T15:26:31Z","title_canon_sha256":"4919a1bf9b5f0fa795d815c091ba26dca936bcc9b2b3d0b78647fd4627df0c2d"},"schema_version":"1.0","source":{"id":"1812.09258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09258","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09258v1","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09258","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"GKGLII2RN3BD","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"pith_short_16","alias_value":"GKGLII2RN3BD7UVS","created_at":"2026-07-05T00:13:39Z"},{"alias_kind":"pith_short_8","alias_value":"GKGLII2R","created_at":"2026-07-05T00:13:39Z"}],"graph_snapshots":[{"event_id":"sha256:27a3a343ce193e5dd0be949b2abe18378f428c3136735a0ce69eacf6c7bbb19a","target":"graph","created_at":"2026-07-05T00:13:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1812.09258/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The features of the ordinary least squares method, which gives a possible way to a solution of the overdetermined systems of algebraic equations and allows to estimate the uncertainties of the obtained solutions, are considered. As the important physical example we define four-loop QCD coefficients in the dependence of the relation between pole and running heavy quarks masses on the number of light flavors, using the existing results of numerical supercomputer based calculations of the corresponding four-loop contributions at different fixed numbers of light flavors. Stability of the found sol","authors_text":"A.L. Kataev, V.S. Molokoedov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-20T15:26:31Z","title":"The least squares method: application to analysis of the flavor dependence of the QCD relation between pole and $\\rm{\\overline{MS}}$-scheme running heavy quark masses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09258","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:bdbed7e324d8a28913c9a4966aa03dce5c6e217df2bc54ddc732f59dd07755e0","target":"record","created_at":"2026-07-05T00:13:39Z","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":"eb992eb8fab55aa3bbcff50d85c90f444a4b1ef8c45e9edf2864174575a11bf8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-20T15:26:31Z","title_canon_sha256":"4919a1bf9b5f0fa795d815c091ba26dca936bcc9b2b3d0b78647fd4627df0c2d"},"schema_version":"1.0","source":{"id":"1812.09258","kind":"arxiv","version":1}},"canonical_sha256":"328cb423516ec23fd2b20b294d2205052fa645fe7dcf8973a1522b40105de73f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"328cb423516ec23fd2b20b294d2205052fa645fe7dcf8973a1522b40105de73f","first_computed_at":"2026-07-05T00:13:39.834913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:13:39.834913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T71PWmzv6Rk+7WAH/PS8aMZgO7+952oVD0pi73QqJj+xGGHAF0rHWCFLl10Csd1XM/QvA43IlUGfWulrDb8FBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:13:39.835334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdbed7e324d8a28913c9a4966aa03dce5c6e217df2bc54ddc732f59dd07755e0","sha256:27a3a343ce193e5dd0be949b2abe18378f428c3136735a0ce69eacf6c7bbb19a"],"state_sha256":"e026335ac9f325fa3d825080c07162d9505edb871da6647ae74e967e86aa2882"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"osgrM3jrhSW/T6c2ig1hM77XPGUI9nTTJOrm5GKXs5ONi+BjGzJfnuWOuXXHhT9Q/4YMs0dO0DDE6NWpyPL6CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:52:56.984331Z","bundle_sha256":"d900da64708f09a1087fc166a24896933207178dd254455826fe1ac1cad3ca24"}}