{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:GLBHJ6AC4MVI34JNGU4AL2Y5MT","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":"19d3443cdad719d61d626a17dd2e8c19355c14cd66a86092d11f94ca4fc872b3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-10-17T17:59:54Z","title_canon_sha256":"b51ee66c556aca7e86ae5c76b000d1a810f09563a0969820887103467e8a3f54"},"schema_version":"1.0","source":{"id":"2310.11455","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.11455","created_at":"2026-07-05T08:13:27Z"},{"alias_kind":"arxiv_version","alias_value":"2310.11455v3","created_at":"2026-07-05T08:13:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.11455","created_at":"2026-07-05T08:13:27Z"},{"alias_kind":"pith_short_12","alias_value":"GLBHJ6AC4MVI","created_at":"2026-07-05T08:13:27Z"},{"alias_kind":"pith_short_16","alias_value":"GLBHJ6AC4MVI34JN","created_at":"2026-07-05T08:13:27Z"},{"alias_kind":"pith_short_8","alias_value":"GLBHJ6AC","created_at":"2026-07-05T08:13:27Z"}],"graph_snapshots":[{"event_id":"sha256:7353703955bbf8ce072b34c4d8a0562cc15678c5130b81c10a5be74b20e13374","target":"graph","created_at":"2026-07-05T08:13:27Z","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/2310.11455/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There are many deep and useful theorems relating Schramm-Loewner evolution (SLE$_\\kappa$) and Liouville quantum gravity ($\\gamma$-LQG) in the case when the parameters satisfy $\\kappa \\in \\{\\gamma^2, 16/\\gamma^2\\}$. Roughly speaking, these theorems say that the SLE$_\\kappa$ curve cuts the $\\gamma$-LQG surface into two or more independent $\\gamma$-LQG surfaces. We extend these theorems to the case when $\\kappa \\not\\in \\{\\gamma^2, 16/\\gamma^2\\}$. Roughly speaking we show that if we have an appropriate variant of SLE$_\\kappa$ and an independent $\\gamma$-LQG disk, then the SLE curve cuts the LQG di","authors_text":"Ewain Gwynne, Morris Ang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-10-17T17:59:54Z","title":"Cutting $\\gamma$-Liouville quantum gravity by Schramm-Loewner evolution for $\\kappa \\not\\in \\{\\gamma^2, 16/\\gamma^2\\}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.11455","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:d480c577ecc3a1d5aaed5ad14aeb7fc1e4e0481aa2a72cb2d53a51d66217b3b0","target":"record","created_at":"2026-07-05T08:13:27Z","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":"19d3443cdad719d61d626a17dd2e8c19355c14cd66a86092d11f94ca4fc872b3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-10-17T17:59:54Z","title_canon_sha256":"b51ee66c556aca7e86ae5c76b000d1a810f09563a0969820887103467e8a3f54"},"schema_version":"1.0","source":{"id":"2310.11455","kind":"arxiv","version":3}},"canonical_sha256":"32c274f802e32a8df12d353805eb1d64e0654d24fde8477401ece98985375279","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32c274f802e32a8df12d353805eb1d64e0654d24fde8477401ece98985375279","first_computed_at":"2026-07-05T08:13:27.629467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:13:27.629467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xZZTD4KZkiWVr4hmI31RED9Y2VDyJZJBQi5dSiYrSZ+CsQWOxY1nPvSliErrTT9ybM1dUxCqeOvGgShTkQDMDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:13:27.629909Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.11455","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d480c577ecc3a1d5aaed5ad14aeb7fc1e4e0481aa2a72cb2d53a51d66217b3b0","sha256:7353703955bbf8ce072b34c4d8a0562cc15678c5130b81c10a5be74b20e13374"],"state_sha256":"dec90ddfd31164ef39fe867a52eaa5d346fbcffb5e3a3244e9886e1c472b4272"}