{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4342K37WHMOBIV5ENPH7DCBA4H","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":"8373687931a43a0977d4dfbcedd3b2aa7f51920b79fb7a69200706f8e0e772a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-01T17:47:44Z","title_canon_sha256":"9cf61cec9b914231e94cd9d5e175829e47f8e0744d7d512857adbb7764eebb46"},"schema_version":"1.0","source":{"id":"2405.00660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.00660","created_at":"2026-07-05T08:14:16Z"},{"alias_kind":"arxiv_version","alias_value":"2405.00660v1","created_at":"2026-07-05T08:14:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.00660","created_at":"2026-07-05T08:14:16Z"},{"alias_kind":"pith_short_12","alias_value":"4342K37WHMOB","created_at":"2026-07-05T08:14:16Z"},{"alias_kind":"pith_short_16","alias_value":"4342K37WHMOBIV5E","created_at":"2026-07-05T08:14:16Z"},{"alias_kind":"pith_short_8","alias_value":"4342K37W","created_at":"2026-07-05T08:14:16Z"}],"graph_snapshots":[{"event_id":"sha256:a081e8837b303779eb91c5f4705e008ab6f0ebebd5af604dc2bfb490bae8b805","target":"graph","created_at":"2026-07-05T08:14:16Z","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/2405.00660/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this note we study tree-level scattering amplitudes of gravitons under a natural deformation which in the large $z$ limit can be interpreted either as a $k$-hard-particle limit or as a $(n-k)$-soft-particle limit. When $k=2$ this becomes the standard BCFW deformation while for $k=3$ it leads to the Risager deformation. The hard- to soft-limit map we define motivates a way of computing the leading order behavior of amplitudes for large $z$ directly from soft limits. We check the proposal by applying the $k=3$ and $k=4$ versions to NMHV and N$^2$MHV gravity amplitudes respectively. The former","authors_text":"Freddy Cachazo, Pablo Leon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-01T17:47:44Z","title":"Connecting Infinity to Soft Factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.00660","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":"sha256:6b070c1309493cadfce85c89e74b572db3cc6abda73f16c92964abc7656aa46e","target":"record","created_at":"2026-07-05T08:14:16Z","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":"8373687931a43a0977d4dfbcedd3b2aa7f51920b79fb7a69200706f8e0e772a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-01T17:47:44Z","title_canon_sha256":"9cf61cec9b914231e94cd9d5e175829e47f8e0744d7d512857adbb7764eebb46"},"schema_version":"1.0","source":{"id":"2405.00660","kind":"arxiv","version":1}},"canonical_sha256":"e6f9a56ff63b1c1457a46bcff18820e1cdae24ae2d4665d0d2ae6563128e60b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6f9a56ff63b1c1457a46bcff18820e1cdae24ae2d4665d0d2ae6563128e60b3","first_computed_at":"2026-07-05T08:14:16.060169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:14:16.060169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u1JgqSg2HFoVecoZ2QSMfm4LtXE33UBJY98y45neEg46vds+7ufkCottHsDrFjYfv/odSOKsElsGi2VgkBjECg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:14:16.060648Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.00660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b070c1309493cadfce85c89e74b572db3cc6abda73f16c92964abc7656aa46e","sha256:a081e8837b303779eb91c5f4705e008ab6f0ebebd5af604dc2bfb490bae8b805"],"state_sha256":"a2a408a6cd376bf2478a5ea4b3fa78fdd8b400a9a24bd60332be3a34b71f64c6"}