{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2MQMIKYL5ZZUCEG7GJEY5H7IY6","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":"906d528f49e02f3235622a179abc7dcdd8db74dc2967e7111c86d6fb5b79301c","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-01T17:51:45Z","title_canon_sha256":"8ac885446517064799f1fda070ae38750988aa21b063b974733903cee1908932"},"schema_version":"1.0","source":{"id":"2606.02682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02682","created_at":"2026-06-03T00:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02682v1","created_at":"2026-06-03T00:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02682","created_at":"2026-06-03T00:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"2MQMIKYL5ZZU","created_at":"2026-06-03T00:05:06Z"},{"alias_kind":"pith_short_16","alias_value":"2MQMIKYL5ZZUCEG7","created_at":"2026-06-03T00:05:06Z"},{"alias_kind":"pith_short_8","alias_value":"2MQMIKYL","created_at":"2026-06-03T00:05:06Z"}],"graph_snapshots":[{"event_id":"sha256:15b9834c9b5ae73125c7a914c14174262550dcd595483a4944e5c142f5b1d38c","target":"graph","created_at":"2026-06-03T00:05:06Z","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/2606.02682/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this manuscript, we explore the application of neural networks to predict the natural parameter $\\kappa \\geq 0$ of Schramm-Loewner Evolution (SLE$_\\kappa$) theory. SLE$_\\kappa$ is a family of random fractal curves that has significant implications in Statistical Mechanics and Conformal Field Theory. This parameter $\\kappa \\geq 0$ plays an important role in the theory as there are models of Planar Statistical Physics that are proven to have SLE as scaling limits as well as others that are conjectured to have this limit for various choices of the parameter $\\kappa \\geq 0$. In addition, there ","authors_text":"Neilesh Shrotri, Vlad Margarint","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-01T17:51:45Z","title":"Neural Networks and Schramm-Loewner Evolutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02682","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:a30e2af3ac6d06d958a87ed8b6156627f413b74d560420e13188dede53fecc93","target":"record","created_at":"2026-06-03T00:05:06Z","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":"906d528f49e02f3235622a179abc7dcdd8db74dc2967e7111c86d6fb5b79301c","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-01T17:51:45Z","title_canon_sha256":"8ac885446517064799f1fda070ae38750988aa21b063b974733903cee1908932"},"schema_version":"1.0","source":{"id":"2606.02682","kind":"arxiv","version":1}},"canonical_sha256":"d320c42b0bee734110df32498e9fe8c7a6ce6e5a88ab2adbde4b948aad0a827a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d320c42b0bee734110df32498e9fe8c7a6ce6e5a88ab2adbde4b948aad0a827a","first_computed_at":"2026-06-03T00:05:06.307531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T00:05:06.307531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j+leGYXKYG+/UPeYUPhmBZ+vS4/lMdLGG/H8BzD2unbzeDdRmTs05+tsCs1fboKRhtG6W+C7Ge9wedqwKbTqBA==","signature_status":"signed_v1","signed_at":"2026-06-03T00:05:06.307881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.02682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a30e2af3ac6d06d958a87ed8b6156627f413b74d560420e13188dede53fecc93","sha256:15b9834c9b5ae73125c7a914c14174262550dcd595483a4944e5c142f5b1d38c"],"state_sha256":"2dc702263d5b2e454c54d7cad946e2394f163eacda4495337cf068f92a4a103b"}