{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:CBIOMYAYXX6WKPZXOMXTSKBHMR","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":"d51f30c056dde34e1694d47f710d2b6eeffebd5dd4614903d009628ec0425d6c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-04-29T08:48:43Z","title_canon_sha256":"bb8a6afe8eb76f4773fe16992ea363351a1d87e60050a8662a43f5c429ba4885"},"schema_version":"1.0","source":{"id":"hep-ph/0204331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0204331","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0204331v1","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0204331","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"pith_short_12","alias_value":"CBIOMYAYXX6W","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"CBIOMYAYXX6WKPZX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"CBIOMYAY","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:5e67dbad46a399f70b957cb3c77cf239019f67e733958615180cfd64661cf7fb","target":"graph","created_at":"2026-05-18T01:39:08Z","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":"Using the Sudakov technique we sum the perturbation series for the process $3\\to 3$ and obtain the compact analytical expression for the amplitude of this process, which takes into account all possible Coulomb interactions between colliding particles. Compare it with the amplitude of the lepton pair production in heavy ion collision i.e. in the process $ 2\\to 4$, we show that crossing symmetry between this processes holds only if one neglects the interaction of produced pair with ions (i.e. in the approximation $Z_{1,2}\\alpha \\ll 1$).","authors_text":"E. A. Kuraev, E. Bartos, S. R. Gevorkyan","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-04-29T08:48:43Z","title":"Process 3 -> 3 and crossing symmetry violation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0204331","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":"sha256:2dbc1dc22e9b3005627786954e68a843a0b11ca9e62014d716a9f97b1006d061","target":"record","created_at":"2026-05-18T01:39:08Z","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":"d51f30c056dde34e1694d47f710d2b6eeffebd5dd4614903d009628ec0425d6c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-04-29T08:48:43Z","title_canon_sha256":"bb8a6afe8eb76f4773fe16992ea363351a1d87e60050a8662a43f5c429ba4885"},"schema_version":"1.0","source":{"id":"hep-ph/0204331","kind":"arxiv","version":1}},"canonical_sha256":"1050e66018bdfd653f37732f392827644091d500a2e5e60901bdb5b97e91e6b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1050e66018bdfd653f37732f392827644091d500a2e5e60901bdb5b97e91e6b8","first_computed_at":"2026-05-18T01:39:08.827299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:08.827299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qr+BjWmzi28tmyNFgiGHFr/T7M4ix/XEjLJqPqqz+ELMbmiTU+S0kPnq68MKjH9RwmT19K2btPkQ8HVqmhWzCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:08.827811Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0204331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dbc1dc22e9b3005627786954e68a843a0b11ca9e62014d716a9f97b1006d061","sha256:5e67dbad46a399f70b957cb3c77cf239019f67e733958615180cfd64661cf7fb"],"state_sha256":"53f96173d6dcb8171efb138f7c2d1dd8e4a7a0be00199d0737605541540a033a"}