{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:P4YUHOVI6YMITAOA26TNICKR3M","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":"029944b51e8088ce8a3aeac61c14a92a198d85f41e971a9d986e0fce33aee2e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-03T09:45:35Z","title_canon_sha256":"cf778677cb1d6c48b519e0d21d85b70b41ca753952fbcb8c9630ca8c8b5ae0da"},"schema_version":"1.0","source":{"id":"2001.00770","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.00770","created_at":"2026-07-05T01:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"2001.00770v2","created_at":"2026-07-05T01:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.00770","created_at":"2026-07-05T01:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"P4YUHOVI6YMI","created_at":"2026-07-05T01:12:33Z"},{"alias_kind":"pith_short_16","alias_value":"P4YUHOVI6YMITAOA","created_at":"2026-07-05T01:12:33Z"},{"alias_kind":"pith_short_8","alias_value":"P4YUHOVI","created_at":"2026-07-05T01:12:33Z"}],"graph_snapshots":[{"event_id":"sha256:03cb78d98f727ae4c0b880544e78e24e4ef56d191257d07231c9631778955064","target":"graph","created_at":"2026-07-05T01:12:33Z","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/2001.00770/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the $u=1/2$ [$\\mathcal{O}(\\Lambda_{\\rm QCD})$] and $u=3/2$ [$\\mathcal{O}(\\Lambda_{\\rm QCD}^3)$] renormalons in the static QCD potential in position space and momentum space using the OPE of the potential-NRQCD effective field theory. This is an old problem and we provide a formal formulation to analyze it. In particular we present detailed examinations of the $u=3/2$ renormalons. We clarify how the $u=3/2$ renormalon is suppressed in the momentum-space potential in relation with the Wilson coefficient $V_A(r)$. We also point out that it is not straightforward to subtract the IR ","authors_text":"Hiromasa Takaura, Yukinari Sumino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-03T09:45:35Z","title":"On renormalons of static QCD potential at $u=1/2$ and $3/2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.00770","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":"sha256:4da2ed64795ba4c0323debcd63cc9bb9c594e81ea5398abc87eddd03c82a38a2","target":"record","created_at":"2026-07-05T01:12:33Z","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":"029944b51e8088ce8a3aeac61c14a92a198d85f41e971a9d986e0fce33aee2e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-01-03T09:45:35Z","title_canon_sha256":"cf778677cb1d6c48b519e0d21d85b70b41ca753952fbcb8c9630ca8c8b5ae0da"},"schema_version":"1.0","source":{"id":"2001.00770","kind":"arxiv","version":2}},"canonical_sha256":"7f3143baa8f6188981c0d7a6d40951db006bd62b6cce75472f2a0e0fb905f8c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f3143baa8f6188981c0d7a6d40951db006bd62b6cce75472f2a0e0fb905f8c1","first_computed_at":"2026-07-05T01:12:33.379618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:12:33.379618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mXbe0qwNqJ78lUzxK6tSwIoY7sQzfBM7yCDrQrE6IAtxngGwQxreAtjTY3j+HKkdcBQtDIT9oZB1J6HPsuKSDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:12:33.380014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.00770","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4da2ed64795ba4c0323debcd63cc9bb9c594e81ea5398abc87eddd03c82a38a2","sha256:03cb78d98f727ae4c0b880544e78e24e4ef56d191257d07231c9631778955064"],"state_sha256":"0cb58b2d2224ad73b36eb43408f31a35eee0ede69b84b0c269be5eb9ae863ab2"}