{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LJKIG7MAPCIBVAD4YFW43FLUGJ","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":"f080f2547c91db1196334f89c85a9994582c3d95fbbebe8efe35be0985a73e97","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-20T11:03:37Z","title_canon_sha256":"25c691a0b643a01841a93f9c620537c2dad0a7a83699e036416d6512561b7789"},"schema_version":"1.0","source":{"id":"2301.08513","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.08513","created_at":"2026-07-05T05:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"2301.08513v1","created_at":"2026-07-05T05:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.08513","created_at":"2026-07-05T05:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"LJKIG7MAPCIB","created_at":"2026-07-05T05:34:36Z"},{"alias_kind":"pith_short_16","alias_value":"LJKIG7MAPCIBVAD4","created_at":"2026-07-05T05:34:36Z"},{"alias_kind":"pith_short_8","alias_value":"LJKIG7MA","created_at":"2026-07-05T05:34:36Z"}],"graph_snapshots":[{"event_id":"sha256:a1038d2c9bc8b7c9533dab0c6abbf81f114da306134c504c085f9db2b9fcaee6","target":"graph","created_at":"2026-07-05T05:34:36Z","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/2301.08513/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the dimer model on piecewise Temperleyan, simply connected domains, on families of graphs which include the square lattice as well as superposition graphs. We focus on the spanning tree $\\mathcal{T}_\\delta$ associated to this model via Temperley's bijection, which turns out to be a Uniform Spanning Tree with singular alternating boundary conditions. Generalising the work of the second author with Peltola and Wu \\cite{LiuPeltolaWuUST} we obtain a scaling limit result for $\\mathcal{T}_\\delta$. For instance, in the simplest nontrivial case, the limit of $\\mathcal{T}_\\delta$ is describ","authors_text":"Mingchang Liu, Nathana\\\"el Berestycki","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-20T11:03:37Z","title":"Piecewise Temperleyan dimers and a multiple SLE$_8$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.08513","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":"sha256:03eb3c85b523b199b63e26168eeec625d6824b7f5a26f7f4c7a50d1d1f1218c1","target":"record","created_at":"2026-07-05T05:34:36Z","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":"f080f2547c91db1196334f89c85a9994582c3d95fbbebe8efe35be0985a73e97","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-20T11:03:37Z","title_canon_sha256":"25c691a0b643a01841a93f9c620537c2dad0a7a83699e036416d6512561b7789"},"schema_version":"1.0","source":{"id":"2301.08513","kind":"arxiv","version":1}},"canonical_sha256":"5a54837d8078901a807cc16dcd9574327229e43c77af00eca209d1349a02c482","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a54837d8078901a807cc16dcd9574327229e43c77af00eca209d1349a02c482","first_computed_at":"2026-07-05T05:34:36.913179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:34:36.913179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UuBbtMBlxO9+fW5S+YXlR1zqp5n0q7POCmFs1LgzLr4RWiERezWh+xT4mRjjIQIxSgEMyUq1lUWRUgGWX1nsBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:34:36.913576Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.08513","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03eb3c85b523b199b63e26168eeec625d6824b7f5a26f7f4c7a50d1d1f1218c1","sha256:a1038d2c9bc8b7c9533dab0c6abbf81f114da306134c504c085f9db2b9fcaee6"],"state_sha256":"011f5da1ddaf129910a79fa2283c446d33a4766f960da195c62d69d72a49ed86"}