{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3ZKPJA2T63EPLORFDVO72XUTH3","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":"d9a98318e5b452ba596aeccc6bd4d7e9573deb8f18af04be1fd6344c9af24c3a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-08-24T14:00:18Z","title_canon_sha256":"9329defe6ee364ae4938ce17aabf566cda9dba0a909b5e7fd22994631363f58e"},"schema_version":"1.0","source":{"id":"2508.17369","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.17369","created_at":"2026-07-05T11:58:40Z"},{"alias_kind":"arxiv_version","alias_value":"2508.17369v1","created_at":"2026-07-05T11:58:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.17369","created_at":"2026-07-05T11:58:40Z"},{"alias_kind":"pith_short_12","alias_value":"3ZKPJA2T63EP","created_at":"2026-07-05T11:58:40Z"},{"alias_kind":"pith_short_16","alias_value":"3ZKPJA2T63EPLORF","created_at":"2026-07-05T11:58:40Z"},{"alias_kind":"pith_short_8","alias_value":"3ZKPJA2T","created_at":"2026-07-05T11:58:40Z"}],"graph_snapshots":[{"event_id":"sha256:aeefa37783a47c4328e0e49e69a57c952e65b7b24cb66f51ca73b7b2c97ce7f4","target":"graph","created_at":"2026-07-05T11:58:40Z","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/2508.17369/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider discrete Gaussian free fields with ergodic random conductances on a class of random subgraphs of $\\mathbb{Z}^{d}$, $d \\geq 2$, including i.i.d.\\ supercritical percolation clusters, where the conductances are possibly unbounded but satisfy a moment condition. As our main result, we show that, for almost every realization of the environment, the rescaled field converges in law towards a continuum Gaussian free field. We also present a scaling limit for the covariances of the field. To obtain the latter, we establish a quenched local limit theorem for the Green's function of the assoc","authors_text":"Anna-Lisa Sokol, Martin Slowik, Sebastian Andres","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-08-24T14:00:18Z","title":"Scaling limit of the discrete Gaussian free field with degenerate random conductances"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.17369","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":"sha256:45f959ff6bee0c4c50e3d4eb126e8a10563bbd2321ac6c36820bccab6b95884d","target":"record","created_at":"2026-07-05T11:58:40Z","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":"d9a98318e5b452ba596aeccc6bd4d7e9573deb8f18af04be1fd6344c9af24c3a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-08-24T14:00:18Z","title_canon_sha256":"9329defe6ee364ae4938ce17aabf566cda9dba0a909b5e7fd22994631363f58e"},"schema_version":"1.0","source":{"id":"2508.17369","kind":"arxiv","version":1}},"canonical_sha256":"de54f48353f6c8f5ba251d5dfd5e933ed8503ef472e95a0ea70e0f5363d1bee7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de54f48353f6c8f5ba251d5dfd5e933ed8503ef472e95a0ea70e0f5363d1bee7","first_computed_at":"2026-07-05T11:58:40.528245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:58:40.528245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xeYWbGr/XfaArfWHwqynt0DCB5Pzrj3RGjMKohxrFSduBy+tzYfzYSVZB042OFRK8vk+Vxl7B2UOOm1fL1JMBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:58:40.528663Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.17369","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45f959ff6bee0c4c50e3d4eb126e8a10563bbd2321ac6c36820bccab6b95884d","sha256:aeefa37783a47c4328e0e49e69a57c952e65b7b24cb66f51ca73b7b2c97ce7f4"],"state_sha256":"0986199b3a8de06a5a6f683c533820d95df8940845848bdc47d3ee55236625ba"}