{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VULWEYFIADBOXT5UMMWVJTYGRT","short_pith_number":"pith:VULWEYFI","schema_version":"1.0","canonical_sha256":"ad176260a800c2ebcfb4632d54cf068cf5e93a75c79ce78fe4b709453d5d9067","source":{"kind":"arxiv","id":"1105.4356","version":1},"attestation_state":"computed","paper":{"title":"The static hybrid potential in D dimensions at short distances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Antonio Pineda, Maximilian Stahlhofen","submitted_at":"2011-05-22T17:26:54Z","abstract_excerpt":"We compute the energy of a static hybrid, i.e. of a hybrid quarkonium with static quark and antiquark, at short distances in D=4,3 dimensions. The soft contribution to this energy is the static potential of a color octet quark-antiquark pair at short distances, which is known at two loops for arbitrary D. We have checked this expression employing thermal field theory methods. Using the effective field theory pNRQCD we calculate the ultrasoft contributions to the hybrid (and singlet) static energy at the two-loop level. We then present new results for the static hybrid energy/potential and the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1105.4356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-22T17:26:54Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"0b16c6ded04a041a9b5cf45068c226a240ad3ad443b10595879c697aa2d893aa","abstract_canon_sha256":"91a29ede79941635eebb5c497ed5c56bc321234374e786e6b1fc494144794f72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:56.335870Z","signature_b64":"hOHZG2zkLxg9j28a5jxnJq466lpRHRrhek2eWSfTtC7QeEm/ScIVvbDGJrJQG7XjjxcjKD4eIiOSHNk/tP99CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad176260a800c2ebcfb4632d54cf068cf5e93a75c79ce78fe4b709453d5d9067","last_reissued_at":"2026-05-18T04:13:56.335372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:56.335372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The static hybrid potential in D dimensions at short distances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Antonio Pineda, Maximilian Stahlhofen","submitted_at":"2011-05-22T17:26:54Z","abstract_excerpt":"We compute the energy of a static hybrid, i.e. of a hybrid quarkonium with static quark and antiquark, at short distances in D=4,3 dimensions. The soft contribution to this energy is the static potential of a color octet quark-antiquark pair at short distances, which is known at two loops for arbitrary D. We have checked this expression employing thermal field theory methods. Using the effective field theory pNRQCD we calculate the ultrasoft contributions to the hybrid (and singlet) static energy at the two-loop level. We then present new results for the static hybrid energy/potential and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4356","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.4356","created_at":"2026-05-18T04:13:56.335445+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.4356v1","created_at":"2026-05-18T04:13:56.335445+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4356","created_at":"2026-05-18T04:13:56.335445+00:00"},{"alias_kind":"pith_short_12","alias_value":"VULWEYFIADBO","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VULWEYFIADBOXT5U","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VULWEYFI","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT","json":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT.json","graph_json":"https://pith.science/api/pith-number/VULWEYFIADBOXT5UMMWVJTYGRT/graph.json","events_json":"https://pith.science/api/pith-number/VULWEYFIADBOXT5UMMWVJTYGRT/events.json","paper":"https://pith.science/paper/VULWEYFI"},"agent_actions":{"view_html":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT","download_json":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT.json","view_paper":"https://pith.science/paper/VULWEYFI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.4356&json=true","fetch_graph":"https://pith.science/api/pith-number/VULWEYFIADBOXT5UMMWVJTYGRT/graph.json","fetch_events":"https://pith.science/api/pith-number/VULWEYFIADBOXT5UMMWVJTYGRT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT/action/storage_attestation","attest_author":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT/action/author_attestation","sign_citation":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT/action/citation_signature","submit_replication":"https://pith.science/pith/VULWEYFIADBOXT5UMMWVJTYGRT/action/replication_record"}},"created_at":"2026-05-18T04:13:56.335445+00:00","updated_at":"2026-05-18T04:13:56.335445+00:00"}