{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YYNB3KMC5YX5PHHMW3ISIBDEM5","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":"99f6036cd12155a1e9b17ba5ddf73adc52fc6f74bc48b9dfe0145f2c97710c72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-30T17:42:17Z","title_canon_sha256":"f4d3ab1a937a53fae39ec92bc01a17f26665f42671cf395ef3e12e3e3c39e6d1"},"schema_version":"1.0","source":{"id":"2405.20292","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.20292","created_at":"2026-07-05T09:14:33Z"},{"alias_kind":"arxiv_version","alias_value":"2405.20292v2","created_at":"2026-07-05T09:14:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.20292","created_at":"2026-07-05T09:14:33Z"},{"alias_kind":"pith_short_12","alias_value":"YYNB3KMC5YX5","created_at":"2026-07-05T09:14:33Z"},{"alias_kind":"pith_short_16","alias_value":"YYNB3KMC5YX5PHHM","created_at":"2026-07-05T09:14:33Z"},{"alias_kind":"pith_short_8","alias_value":"YYNB3KMC","created_at":"2026-07-05T09:14:33Z"}],"graph_snapshots":[{"event_id":"sha256:5d52827d0270f6b3a6fac7e581486a0a337fc79e7e6afb9d335281d8cef1c543","target":"graph","created_at":"2026-07-05T09:14:33Z","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/2405.20292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar $\\mathcal{N}=4$ super Yang-Mills. Beginning with four lines in twistor space, we characterize a positive subspace to which an $\\ell$-loop geometry is attached. The loop geometry then consists of $\\ell$ lines in twistor space satisfying positivity conditions among themselves and with respect to the base. Consequently, the $\\textit{loop geometry}$ can be viewed as fibration over a $\\textit{tree geometry}$. The fibration naturally dissects the base into chambe","authors_text":"Chia-Kai Kuo, Song He, Yu-tin Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-30T17:42:17Z","title":"All-loop geometry for four-point correlation functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.20292","kind":"arxiv","version":2},"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:b399aa43bbe8e4da917fc824da19b29b39243ba04411404a09f07a528ccfd9cb","target":"record","created_at":"2026-07-05T09:14:33Z","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":"99f6036cd12155a1e9b17ba5ddf73adc52fc6f74bc48b9dfe0145f2c97710c72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-30T17:42:17Z","title_canon_sha256":"f4d3ab1a937a53fae39ec92bc01a17f26665f42671cf395ef3e12e3e3c39e6d1"},"schema_version":"1.0","source":{"id":"2405.20292","kind":"arxiv","version":2}},"canonical_sha256":"c61a1da982ee2fd79cecb6d1240464677eded07ded11c77a6b928e228328bb6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c61a1da982ee2fd79cecb6d1240464677eded07ded11c77a6b928e228328bb6f","first_computed_at":"2026-07-05T09:14:33.695022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:14:33.695022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4gES4io+1diGIQ9NKNXSUXScA65wLEJiyRF3+U9Idz4jK3RlHYR0GTNX4T3boJrEsLpJEQaHcuHkNdp+QsvTDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:14:33.695564Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.20292","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b399aa43bbe8e4da917fc824da19b29b39243ba04411404a09f07a528ccfd9cb","sha256:5d52827d0270f6b3a6fac7e581486a0a337fc79e7e6afb9d335281d8cef1c543"],"state_sha256":"fce608ae061c062d51e8d6eaf28f975a6b0863a9ba8e2493106a24b90f330bd5"}