{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:CNVSVOUGEH5TZT3DCJMWSSQWGF","short_pith_number":"pith:CNVSVOUG","canonical_record":{"source":{"id":"2112.07556","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-14T17:01:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bcf1e9f8b98b8fea94f59b9032cf872b76294249935477092766c6e94f0e6ab0","abstract_canon_sha256":"a275858756ae48c2de193b08222546a864e55f8ef866daa11b0686fe6530088f"},"schema_version":"1.0"},"canonical_sha256":"136b2aba8621fb3ccf631259694a16317efcac2ba898bed2b364d75595887f66","source":{"kind":"arxiv","id":"2112.07556","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07556","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07556v3","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07556","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"CNVSVOUGEH5T","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"pith_short_16","alias_value":"CNVSVOUGEH5TZT3D","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"pith_short_8","alias_value":"CNVSVOUG","created_at":"2026-07-05T08:24:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:CNVSVOUGEH5TZT3DCJMWSSQWGF","target":"record","payload":{"canonical_record":{"source":{"id":"2112.07556","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-14T17:01:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bcf1e9f8b98b8fea94f59b9032cf872b76294249935477092766c6e94f0e6ab0","abstract_canon_sha256":"a275858756ae48c2de193b08222546a864e55f8ef866daa11b0686fe6530088f"},"schema_version":"1.0"},"canonical_sha256":"136b2aba8621fb3ccf631259694a16317efcac2ba898bed2b364d75595887f66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:24:35.047231Z","signature_b64":"dHD5xQ1nj1rxJ3O85ALKSt1vM9HDfKHEGcI/GazQrbri3mleB5S2Sk/L60kCk9gMF9CaOml9ftIMO1r5xiZmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"136b2aba8621fb3ccf631259694a16317efcac2ba898bed2b364d75595887f66","last_reissued_at":"2026-07-05T08:24:35.046640Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:24:35.046640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.07556","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pgdI52Xxd5xVFS6R/Qbmd9RjRhraNRaQyhWkLtB60bH8Hw6edMeBIol8ulQRlk4mR/5OFQ3t3n1YP8eiQTQuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:57:48.619313Z"},"content_sha256":"2de02062ab2fca04c5060821c3392e49a417039591da16c3c53f9e76b061cedc","schema_version":"1.0","event_id":"sha256:2de02062ab2fca04c5060821c3392e49a417039591da16c3c53f9e76b061cedc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:CNVSVOUGEH5TZT3DCJMWSSQWGF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Uncertainty Principle and Classical Amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alasdair Ross, Andrea Cristofoli, Chris D. White, Donal O'Connell, Matteo Sergola, Nathan Moynihan, Riccardo Gonzo","submitted_at":"2021-12-14T17:01:29Z","abstract_excerpt":"We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation of radiative effects in the classical limit which generalises the eikonal formula, and show how to rec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07556","kind":"arxiv","version":3},"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/2112.07556/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K66ZCPaGRjbW59tdj1FPg2HgeeU7rq0kMZEifLxRc0CaNlxq1v/axkUvhCxG0YS9FLTWFAHcRh5oGVw7oxrYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:57:48.619811Z"},"content_sha256":"f6ff558e50f5c3f9f03c7a67ff3305eb363d0c601e48c13fd4a71fde5b3d9335","schema_version":"1.0","event_id":"sha256:f6ff558e50f5c3f9f03c7a67ff3305eb363d0c601e48c13fd4a71fde5b3d9335"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF/bundle.json","state_url":"https://pith.science/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T07:57:48Z","links":{"resolver":"https://pith.science/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF","bundle":"https://pith.science/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF/bundle.json","state":"https://pith.science/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CNVSVOUGEH5TZT3DCJMWSSQWGF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:CNVSVOUGEH5TZT3DCJMWSSQWGF","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":"a275858756ae48c2de193b08222546a864e55f8ef866daa11b0686fe6530088f","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-14T17:01:29Z","title_canon_sha256":"bcf1e9f8b98b8fea94f59b9032cf872b76294249935477092766c6e94f0e6ab0"},"schema_version":"1.0","source":{"id":"2112.07556","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07556","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07556v3","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07556","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"CNVSVOUGEH5T","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"pith_short_16","alias_value":"CNVSVOUGEH5TZT3D","created_at":"2026-07-05T08:24:35Z"},{"alias_kind":"pith_short_8","alias_value":"CNVSVOUG","created_at":"2026-07-05T08:24:35Z"}],"graph_snapshots":[{"event_id":"sha256:f6ff558e50f5c3f9f03c7a67ff3305eb363d0c601e48c13fd4a71fde5b3d9335","target":"graph","created_at":"2026-07-05T08:24:35Z","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/2112.07556/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation of radiative effects in the classical limit which generalises the eikonal formula, and show how to rec","authors_text":"Alasdair Ross, Andrea Cristofoli, Chris D. White, Donal O'Connell, Matteo Sergola, Nathan Moynihan, Riccardo Gonzo","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-14T17:01:29Z","title":"The Uncertainty Principle and Classical Amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07556","kind":"arxiv","version":3},"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":"sha256:2de02062ab2fca04c5060821c3392e49a417039591da16c3c53f9e76b061cedc","target":"record","created_at":"2026-07-05T08:24:35Z","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":"a275858756ae48c2de193b08222546a864e55f8ef866daa11b0686fe6530088f","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-14T17:01:29Z","title_canon_sha256":"bcf1e9f8b98b8fea94f59b9032cf872b76294249935477092766c6e94f0e6ab0"},"schema_version":"1.0","source":{"id":"2112.07556","kind":"arxiv","version":3}},"canonical_sha256":"136b2aba8621fb3ccf631259694a16317efcac2ba898bed2b364d75595887f66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"136b2aba8621fb3ccf631259694a16317efcac2ba898bed2b364d75595887f66","first_computed_at":"2026-07-05T08:24:35.046640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:24:35.046640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dHD5xQ1nj1rxJ3O85ALKSt1vM9HDfKHEGcI/GazQrbri3mleB5S2Sk/L60kCk9gMF9CaOml9ftIMO1r5xiZmBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:24:35.047231Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.07556","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2de02062ab2fca04c5060821c3392e49a417039591da16c3c53f9e76b061cedc","sha256:f6ff558e50f5c3f9f03c7a67ff3305eb363d0c601e48c13fd4a71fde5b3d9335"],"state_sha256":"39c3961bffd3b176362c01505e9536c51151b01c1d04371a0c46955545aad72a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jdpY4D5HCSQxBaVapjpqaQv3xsMdqlirp9V6neRpHUZKsg7nNqwDwooKKcslTGNrwe+pxRMWslM5FBkTZ2doBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:57:48.623911Z","bundle_sha256":"dbee3e1654ba9d85e9f9d4521300e3f1f7377415ca72836c307760b9d0124d2a"}}