{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:5BIHHUM2VX57EUSJDBQQCMHHRZ","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":"1ad1ae859aeddabcd4f36eb1dec1317436fd339c19d0c698f35e1cdb1b829385","cross_cats_sorted":["hep-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-22T13:05:40Z","title_canon_sha256":"3dfb431e7d4b28626d709911c7ad3bbe764ef67204ed61569b618da0d6de8d73"},"schema_version":"1.0","source":{"id":"2006.12213","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12213","created_at":"2026-07-05T01:56:42Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12213v5","created_at":"2026-07-05T01:56:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12213","created_at":"2026-07-05T01:56:42Z"},{"alias_kind":"pith_short_12","alias_value":"5BIHHUM2VX57","created_at":"2026-07-05T01:56:42Z"},{"alias_kind":"pith_short_16","alias_value":"5BIHHUM2VX57EUSJ","created_at":"2026-07-05T01:56:42Z"},{"alias_kind":"pith_short_8","alias_value":"5BIHHUM2","created_at":"2026-07-05T01:56:42Z"}],"graph_snapshots":[{"event_id":"sha256:43c8b0ca9bf1165080a7c91c4b87b6183b8e5464860d84843bb5ac27022ab345","target":"graph","created_at":"2026-07-05T01:56:42Z","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/2006.12213/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider entanglement measures in 2-2 scattering in quantum field theories, focusing on relative entropy which distinguishes two different density matrices. Relative entropy is investigated in several cases which include $\\phi^4$ theory, chiral perturbation theory ($\\chi PT$) describing pion scattering and dilaton scattering in type II superstring theory. We derive a high energy bound on the relative entropy using known bounds on the elastic differential cross-sections in massive QFTs. In $\\chi PT$, relative entropy close to threshold has simple expressions in terms of ratios of scattering ","authors_text":"Aninda Sinha, Anjishnu Bose, Parthiv Haldar, Pritish Sinha, Shaswat S Tiwari","cross_cats":["hep-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-22T13:05:40Z","title":"Relative entropy in scattering and the S-matrix bootstrap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12213","kind":"arxiv","version":5},"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":"sha256:2f30d8ec7bb487c7bbab1e67665c075c93145f8eaffa6adea0b17819cec10abb","target":"record","created_at":"2026-07-05T01:56:42Z","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":"1ad1ae859aeddabcd4f36eb1dec1317436fd339c19d0c698f35e1cdb1b829385","cross_cats_sorted":["hep-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-22T13:05:40Z","title_canon_sha256":"3dfb431e7d4b28626d709911c7ad3bbe764ef67204ed61569b618da0d6de8d73"},"schema_version":"1.0","source":{"id":"2006.12213","kind":"arxiv","version":5}},"canonical_sha256":"e85073d19aadfbf2524918610130e78e4c67377eabea422a715a9529b9db8234","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e85073d19aadfbf2524918610130e78e4c67377eabea422a715a9529b9db8234","first_computed_at":"2026-07-05T01:56:42.762813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:56:42.762813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sEMVOS2ifaKAE1DYeoBOHQZ5eKspvjKaOOOErtFpmaYpmK+OD4k5NiYshwAn5YV8bzDk/Z/awbAaAiptvijlBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:56:42.763223Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.12213","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f30d8ec7bb487c7bbab1e67665c075c93145f8eaffa6adea0b17819cec10abb","sha256:43c8b0ca9bf1165080a7c91c4b87b6183b8e5464860d84843bb5ac27022ab345"],"state_sha256":"08014dfc491e8ba918f0a6dcec38a2447cd039053c7f424e7ad671f98017872f"}