{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:XHJO46XOS25IHNQLWSVNT3R7AS","short_pith_number":"pith:XHJO46XO","schema_version":"1.0","canonical_sha256":"b9d2ee7aee96ba83b60bb4aad9ee3f049bc6116d99a9d85dc077dbdaf38c89cd","source":{"kind":"arxiv","id":"hep-ph/9611466","version":1},"attestation_state":"computed","paper":{"title":"The $\\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Amihay Hanany, John Ellis, Marek Karliner, Yitzhak Frishman","submitted_at":"1996-11-28T21:19:14Z","abstract_excerpt":"We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\\Delta I = 2$ and $\\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively small suppressions of both the scalar-scalar and vector-vector $\\Delta I = 2$ four-fermion operators. We discuss the possible implications of these results, in view of a suggestion that gluon condensation may be an important contributing factor in the $\\Delta I = 1/2$ enhancement seen in QCD$_4$. At the technical level, our calculation of the vector-vector oper"},"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":"hep-ph/9611466","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-11-28T21:19:14Z","cross_cats_sorted":[],"title_canon_sha256":"c33a56efbb3639d86bedda164daf815c08688f0f6f8965697b0b0252b9bb1199","abstract_canon_sha256":"5414f474a42c9b73e8e34a579d6c52d35e3a1c192e9d159f7560634ee2d4ccff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:49:18.278391Z","signature_b64":"jco0vkSk4vjrHQwQwY7aljdn9SwRV66pRbxG3AwHI25ar4kQdEWBULjNBWrqr2VGtYQ+/pYku9pFXOS40b47AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9d2ee7aee96ba83b60bb4aad9ee3f049bc6116d99a9d85dc077dbdaf38c89cd","last_reissued_at":"2026-07-04T15:49:18.277980Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:49:18.277980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $\\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Amihay Hanany, John Ellis, Marek Karliner, Yitzhak Frishman","submitted_at":"1996-11-28T21:19:14Z","abstract_excerpt":"We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\\Delta I = 2$ and $\\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively small suppressions of both the scalar-scalar and vector-vector $\\Delta I = 2$ four-fermion operators. We discuss the possible implications of these results, in view of a suggestion that gluon condensation may be an important contributing factor in the $\\Delta I = 1/2$ enhancement seen in QCD$_4$. At the technical level, our calculation of the vector-vector oper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9611466","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/hep-ph/9611466/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9611466","created_at":"2026-07-04T15:49:18.278046+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9611466v1","created_at":"2026-07-04T15:49:18.278046+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9611466","created_at":"2026-07-04T15:49:18.278046+00:00"},{"alias_kind":"pith_short_12","alias_value":"XHJO46XOS25I","created_at":"2026-07-04T15:49:18.278046+00:00"},{"alias_kind":"pith_short_16","alias_value":"XHJO46XOS25IHNQL","created_at":"2026-07-04T15:49:18.278046+00:00"},{"alias_kind":"pith_short_8","alias_value":"XHJO46XO","created_at":"2026-07-04T15:49:18.278046+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/XHJO46XOS25IHNQLWSVNT3R7AS","json":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS.json","graph_json":"https://pith.science/api/pith-number/XHJO46XOS25IHNQLWSVNT3R7AS/graph.json","events_json":"https://pith.science/api/pith-number/XHJO46XOS25IHNQLWSVNT3R7AS/events.json","paper":"https://pith.science/paper/XHJO46XO"},"agent_actions":{"view_html":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS","download_json":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS.json","view_paper":"https://pith.science/paper/XHJO46XO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9611466&json=true","fetch_graph":"https://pith.science/api/pith-number/XHJO46XOS25IHNQLWSVNT3R7AS/graph.json","fetch_events":"https://pith.science/api/pith-number/XHJO46XOS25IHNQLWSVNT3R7AS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS/action/storage_attestation","attest_author":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS/action/author_attestation","sign_citation":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS/action/citation_signature","submit_replication":"https://pith.science/pith/XHJO46XOS25IHNQLWSVNT3R7AS/action/replication_record"}},"created_at":"2026-07-04T15:49:18.278046+00:00","updated_at":"2026-07-04T15:49:18.278046+00:00"}