{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TW467ZTBYMQCFV5EWJ6SRPWWE5","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":"161ea21b8aa8dcd2e79fdad4abe4b6dfd051fdc9eef5d1f4822e32b564ced85e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-01T07:58:07Z","title_canon_sha256":"18e69b8cd5f47446aefc091b64f7369bcce53845cb39b76c159a3bb51382add2"},"schema_version":"1.0","source":{"id":"2608.00506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00506","created_at":"2026-08-04T00:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00506v1","created_at":"2026-08-04T00:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00506","created_at":"2026-08-04T00:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"TW467ZTBYMQC","created_at":"2026-08-04T00:37:05Z"},{"alias_kind":"pith_short_16","alias_value":"TW467ZTBYMQCFV5E","created_at":"2026-08-04T00:37:05Z"},{"alias_kind":"pith_short_8","alias_value":"TW467ZTB","created_at":"2026-08-04T00:37:05Z"}],"graph_snapshots":[{"event_id":"sha256:e957cbc963b1f2b7eb033e957bc7d0a9750be1eac0774ce466900bc2444d1e3b","target":"graph","created_at":"2026-08-04T00:37:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.00506/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we find that the scattering matrix for dipole-dipole interaction in the saturation region has the form: ${\\cal S}^d_d \\xrightarrow{z \\,\\gg\\,1} \\exp\\Lb - C^d_d z^2\\Rb \\propto \\Lb {\\cal S}_{BK}\\Rb^4 = \\exp\\Lb - 4\\,C_{BK} z^2\\Rb$, where $z = \\bas \\kappa Y\\,+\\,\\ln\\Lb \\frac{r^2}{r'^2}\\Rb$ for interaction of a dipole $r$ at rapidity $Y$ with dipole $r'$ at rest. $S_{BK}$ is the S-matrix for the Balitsky-Kovchegov amplitude. All constants are determined in the text. The proof is given in the same theoretical framework for both cases (${\\cal S}^d_d$ and ${\\cal S}_{BK}$): the Pomeron inte","authors_text":"Eugene Levin (Tel Aviv University.)","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-01T07:58:07Z","title":"Dipole-dipole scattering at high energy in the Pomeron field theory with Braun Hamiltonian and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00506","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:dafd3fb085a8be492a67bc8a0bbd6ba757c8e8d8026b248c6ae22e52cb320a04","target":"record","created_at":"2026-08-04T00:37:05Z","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":"161ea21b8aa8dcd2e79fdad4abe4b6dfd051fdc9eef5d1f4822e32b564ced85e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-01T07:58:07Z","title_canon_sha256":"18e69b8cd5f47446aefc091b64f7369bcce53845cb39b76c159a3bb51382add2"},"schema_version":"1.0","source":{"id":"2608.00506","kind":"arxiv","version":1}},"canonical_sha256":"9db9efe661c32022d7a4b27d28bed62777cfad888c5a53118d4279efdcf89aeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9db9efe661c32022d7a4b27d28bed62777cfad888c5a53118d4279efdcf89aeb","first_computed_at":"2026-08-04T00:37:05.258659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T00:37:05.258659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GllJ298J3YrMBqng3GBhJQwcTXKAZZWm5awt4U+Ru24mS3zEw1ctCVmcRUXz3SSXM5uIChHJckTW5CQruBYrDw==","signature_status":"signed_v1","signed_at":"2026-08-04T00:37:05.262739Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.00506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dafd3fb085a8be492a67bc8a0bbd6ba757c8e8d8026b248c6ae22e52cb320a04","sha256:e957cbc963b1f2b7eb033e957bc7d0a9750be1eac0774ce466900bc2444d1e3b"],"state_sha256":"56cd593399191e8f9dfecebf59a4b6057c1a55e190379500408e20ad5f1ac86e"}