{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:VK44YK5NBRBZHTXIR3WLC4F3DJ","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":"c41b6b954cb945d6a6d5e00bf8cb50d573d1c78bbf169063e7f41c0921fd8836","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-23T21:48:15Z","title_canon_sha256":"4803a41982eae08bb4f309a6a7b9bdd1cb4f4263c829bf27636167f94bb6fefb"},"schema_version":"1.0","source":{"id":"2101.09591","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.09591","created_at":"2026-07-05T03:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"2101.09591v1","created_at":"2026-07-05T03:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.09591","created_at":"2026-07-05T03:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"VK44YK5NBRBZ","created_at":"2026-07-05T03:01:13Z"},{"alias_kind":"pith_short_16","alias_value":"VK44YK5NBRBZHTXI","created_at":"2026-07-05T03:01:13Z"},{"alias_kind":"pith_short_8","alias_value":"VK44YK5N","created_at":"2026-07-05T03:01:13Z"}],"graph_snapshots":[{"event_id":"sha256:e217555e60ed808f09ae2f2d62f81f801cc1e35405e646a29c91ac541fa0dc22","target":"graph","created_at":"2026-07-05T03:01:13Z","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/2101.09591/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Analytic continuation from Minkowski space to $(2,2)$ split signature spacetime has proven to be a powerful tool for the study of scattering amplitudes. Here we show that, under this continuation, null infinity becomes the product of a null interval with a celestial torus (replacing the celestial sphere) and has only one connected component. Spacelike and timelike infinity are time-periodic quotients of AdS$_3$. These three components of infinity combine to an $S^3$ represented as a toric fibration over the interval. Privileged scattering states of scalars organize into $SL(2,\\mathbb{R})_L \\ti","authors_text":"Adam Ball, Alexander Atanasov, Ana-Maria Raclariu, Andrew Strominger, Walker Melton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-23T21:48:15Z","title":"$(2,2)$ Scattering and the Celestial Torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.09591","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:cb2b9a97ca0fcd290e3ede35903554ebe4ab1bc6e1a9202d30eec751aaa5a4ac","target":"record","created_at":"2026-07-05T03:01:13Z","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":"c41b6b954cb945d6a6d5e00bf8cb50d573d1c78bbf169063e7f41c0921fd8836","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-23T21:48:15Z","title_canon_sha256":"4803a41982eae08bb4f309a6a7b9bdd1cb4f4263c829bf27636167f94bb6fefb"},"schema_version":"1.0","source":{"id":"2101.09591","kind":"arxiv","version":1}},"canonical_sha256":"aab9cc2bad0c4393cee88eecb170bb1a72cbacdc8338535e9a12f4854e1e772b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aab9cc2bad0c4393cee88eecb170bb1a72cbacdc8338535e9a12f4854e1e772b","first_computed_at":"2026-07-05T03:01:13.407741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:01:13.407741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CCHRgX4105EYTKY0Jhp4tU1ouQ5BrlV1ORb9TTwMxkBfFRtmxwFrmxQlXjpkIWeSFUJ1zRQUi6GPTRc0n5oMBA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:01:13.408247Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.09591","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb2b9a97ca0fcd290e3ede35903554ebe4ab1bc6e1a9202d30eec751aaa5a4ac","sha256:e217555e60ed808f09ae2f2d62f81f801cc1e35405e646a29c91ac541fa0dc22"],"state_sha256":"25f01a39d9710dd2a19135f91c42449a8a849f6ad6e6bb7329e2de351413e86c"}