{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:KDBVGFWH6GGXOLCLQWILCES6UU","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":"9af626245ffa94e049c2c86d15b7bc42b4bb5a068c54d9024c116a2683494aa8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.PR","submitted_at":"2022-10-24T16:50:37Z","title_canon_sha256":"68e926a4e3161ede66f63dac98d12c12400a32d595b1ac539b937056d5c1fe12"},"schema_version":"1.0","source":{"id":"2210.13398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13398","created_at":"2026-07-05T05:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13398v1","created_at":"2026-07-05T05:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13398","created_at":"2026-07-05T05:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"KDBVGFWH6GGX","created_at":"2026-07-05T05:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"KDBVGFWH6GGXOLCL","created_at":"2026-07-05T05:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"KDBVGFWH","created_at":"2026-07-05T05:09:45Z"}],"graph_snapshots":[{"event_id":"sha256:fdde40302ba391b95ec71bab97a79e75a775249c1c58461901613f6eecbf07cf","target":"graph","created_at":"2026-07-05T05:09:45Z","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/2210.13398/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Critical models are, almost by definition, supposed to feature both slow decay of correlations for local observables while retaining some mixing even for macroscopic observables. A strong version of the latter property is that changing boundary conditions cannot have a singular (in the measure theoretic sense) effect on the model away from the boundary, even asymptotically. In this paper we prove that statement for the wired uniform spanning tree and temperleyan dimer model.","authors_text":"Antoine Bannier, Benoit Laslier","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.PR","submitted_at":"2022-10-24T16:50:37Z","title":"Does a portion of dimer configuration determines its domain of definition?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13398","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":"sha256:23e9ecd706a52dec1b8617f8bcafcd20a73920a96f808c0af20a038e91348e1e","target":"record","created_at":"2026-07-05T05:09:45Z","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":"9af626245ffa94e049c2c86d15b7bc42b4bb5a068c54d9024c116a2683494aa8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.PR","submitted_at":"2022-10-24T16:50:37Z","title_canon_sha256":"68e926a4e3161ede66f63dac98d12c12400a32d595b1ac539b937056d5c1fe12"},"schema_version":"1.0","source":{"id":"2210.13398","kind":"arxiv","version":1}},"canonical_sha256":"50c35316c7f18d772c4b8590b1125ea52545d7fd7a9e59ad8337cdc54289cc94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50c35316c7f18d772c4b8590b1125ea52545d7fd7a9e59ad8337cdc54289cc94","first_computed_at":"2026-07-05T05:09:45.039359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:09:45.039359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JaNKbpQ21iQhRfx8eSh+HsgA4phuWKRzETjQE0O5yZHE1W+oluiZkgdUvDg88cx0uaE/bwtktrhSPMqtd0ltAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:09:45.039772Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.13398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23e9ecd706a52dec1b8617f8bcafcd20a73920a96f808c0af20a038e91348e1e","sha256:fdde40302ba391b95ec71bab97a79e75a775249c1c58461901613f6eecbf07cf"],"state_sha256":"c06879695c56a8a664a64e09cd4afb5f6e645e38249aada49e2632dc1e6fee0f"}