{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CS2SOSQQ6JBXOPDQH6KIZXR7F5","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":"252b89128612d57f49893d054e3d942d713170397c7e8eb12a4530281614fafe","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-11-10T19:00:02Z","title_canon_sha256":"35c378611d0d4e27f44b0f40990057eb8e9f5b2f2880ad37cf6348c4b44b2b37"},"schema_version":"1.0","source":{"id":"2211.05795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.05795","created_at":"2026-07-05T09:24:50Z"},{"alias_kind":"arxiv_version","alias_value":"2211.05795v1","created_at":"2026-07-05T09:24:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.05795","created_at":"2026-07-05T09:24:50Z"},{"alias_kind":"pith_short_12","alias_value":"CS2SOSQQ6JBX","created_at":"2026-07-05T09:24:50Z"},{"alias_kind":"pith_short_16","alias_value":"CS2SOSQQ6JBXOPDQ","created_at":"2026-07-05T09:24:50Z"},{"alias_kind":"pith_short_8","alias_value":"CS2SOSQQ","created_at":"2026-07-05T09:24:50Z"}],"graph_snapshots":[{"event_id":"sha256:2b4f010ef0e403b07eaca80a870bda9971b28f2b8337d6a0b01c2265c52b3c87","target":"graph","created_at":"2026-07-05T09:24:50Z","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/2211.05795/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study 2-to-2 scattering amplitudes of massless spin one particles in $d=4$ space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low energies. We use full non-linear unitarity to construct various novel numerical bounds on these observables. For completeness, we also rederive some bounds using positivity only. We discover and explain why some of these Wilson coefficients cannot be bounded.","authors_text":"Aditya Hebbar, Denis Karateev, Jo\\~ao Penedones, Kelian H\\\"aring, Marco Meineri","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-11-10T19:00:02Z","title":"Bounds on photon scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.05795","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":"sha256:7acd35c05a68790efbd82c62b058b9ac1754fa82b50a8592ee9214e4f7b07e8b","target":"record","created_at":"2026-07-05T09:24:50Z","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":"252b89128612d57f49893d054e3d942d713170397c7e8eb12a4530281614fafe","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-11-10T19:00:02Z","title_canon_sha256":"35c378611d0d4e27f44b0f40990057eb8e9f5b2f2880ad37cf6348c4b44b2b37"},"schema_version":"1.0","source":{"id":"2211.05795","kind":"arxiv","version":1}},"canonical_sha256":"14b5274a10f243773c703f948cde3f2f4568936d8ac7576bb8bc2d6a0627e206","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14b5274a10f243773c703f948cde3f2f4568936d8ac7576bb8bc2d6a0627e206","first_computed_at":"2026-07-05T09:24:50.051260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:24:50.051260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s6eSkXyQ0VqwaAO0knpCn5LF/Mk/iOyr6FLfN/4LhJftlI2Cv59WP9xzvUuxTp8AfRHiZSaxeskHCmSCufyrDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:24:50.051881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.05795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7acd35c05a68790efbd82c62b058b9ac1754fa82b50a8592ee9214e4f7b07e8b","sha256:2b4f010ef0e403b07eaca80a870bda9971b28f2b8337d6a0b01c2265c52b3c87"],"state_sha256":"4428d4908be0b24baa25f5b78988902364d1ea76a3d4e915b339f31da35d443c"}