{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7Y6KMRS26X25BOVP35D6256KNY","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":"97e1c7e47fc9b6b98e91e1fa722f94285d67725dbe008c11e3850174992d0d32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-06T14:37:17Z","title_canon_sha256":"0347e466d527d4dbbc25929a4caf2afa707e2adb7bf1d600afd3f4b5e37b0033"},"schema_version":"1.0","source":{"id":"1607.01638","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01638","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01638v2","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01638","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"7Y6KMRS26X25","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7Y6KMRS26X25BOVP","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7Y6KMRS2","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:161570ae4f79bc9e40e1fdfdbaafbf2e8b888d4176f461606cc2b98346cc10ab","target":"graph","created_at":"2026-05-18T01:03:05Z","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 calculation of the twist-3 T-odd chiral-even fragmentation functions $G^{\\perp}$ and $\\tilde{G}^{\\perp}$ using a spectator model. We consider the effect gluon exchange to calculate all necessary one-loop diagrams for the quark-quark and quark-gluon-quark correlation functions. We find that the gluon loops corrections generate non-zero contribution to these two fragmentation function. We numerically calculate their half-$k_T$ moments by integrating over the transverse momentum and also verify the equation of motion relation among $G^{\\perp}$, $\\tilde{G}^{\\perp}$ and the Collins fun","authors_text":"Ivan Schmidt, Yongliang Yang, Zhun Lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-06T14:37:17Z","title":"Twist-3 T-odd fragmentation functions $G^\\perp$ and $\\tilde{G}^\\perp$ in a spectator model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01638","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:ac4a9accae38fd4688bc73cbf2ded4549fc205825ddfe03a4490589bdb2184db","target":"record","created_at":"2026-05-18T01:03:05Z","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":"97e1c7e47fc9b6b98e91e1fa722f94285d67725dbe008c11e3850174992d0d32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-06T14:37:17Z","title_canon_sha256":"0347e466d527d4dbbc25929a4caf2afa707e2adb7bf1d600afd3f4b5e37b0033"},"schema_version":"1.0","source":{"id":"1607.01638","kind":"arxiv","version":2}},"canonical_sha256":"fe3ca6465af5f5d0baafdf47ed77ca6e24428e66672e0bea9526048061a4431b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe3ca6465af5f5d0baafdf47ed77ca6e24428e66672e0bea9526048061a4431b","first_computed_at":"2026-05-18T01:03:05.856149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:05.856149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yvXBlaEP2o7hKLL4gwLZ6wqQ/yJMA4GcU78yVXv1IyuKsm7SVHxHQ9dhyIh5gZfzyMHCU8WASAForX4ZzoL+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:05.856760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01638","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac4a9accae38fd4688bc73cbf2ded4549fc205825ddfe03a4490589bdb2184db","sha256:161570ae4f79bc9e40e1fdfdbaafbf2e8b888d4176f461606cc2b98346cc10ab"],"state_sha256":"c8860981c37b08bf131e55430997fd1e83f2ad43a9a32880189c3fc9d42414ac"}