{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TF2WOQL5ZR6HP5HKNQZNACTTHO","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":"674ded51e35931fbde2a7f6879f6b1bfe5d6136b07aaf2e4c3c1d9321825753d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-21T09:36:23Z","title_canon_sha256":"df0f171e4ae6c0b8c2b2e3074ff6d642e5514997dfe46664f72968dead1f7622"},"schema_version":"1.0","source":{"id":"1308.4520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4520","created_at":"2026-05-18T03:15:21Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4520v1","created_at":"2026-05-18T03:15:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4520","created_at":"2026-05-18T03:15:21Z"},{"alias_kind":"pith_short_12","alias_value":"TF2WOQL5ZR6H","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TF2WOQL5ZR6HP5HK","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TF2WOQL5","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:c27338574af38b368ea27c7d9025934913550828fc63a1b769860c0929d4fd70","target":"graph","created_at":"2026-05-18T03:15:21Z","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"},"paper":{"abstract_excerpt":"We derive an annealed large deviation principle (LDP) for the normalised and rescaled local times of a continuous-time random walk among random conductances (RWRC) in a time-dependent, growing box in $\\Z^d$. We work in the interesting case that the conductances are positive, but may assume arbitrarily small values. Thus, the underlying picture of the principle is a joint strategy of small conductance values and large holding times of the walk. The speed and the rate function of our principle are explicit in terms of the lower tails of the conductance distribution as well as the time-dependent ","authors_text":"Tilman Wolff, Wolfgang K\\\"onig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-21T09:36:23Z","title":"Large deviations for the local times of a random walk among random conductances in a growing box"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4520","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":"sha256:46ce89ef5c7f73425f0ba5038ee15a87eaeb3f7df523d60a03e9b57818ded394","target":"record","created_at":"2026-05-18T03:15:21Z","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":"674ded51e35931fbde2a7f6879f6b1bfe5d6136b07aaf2e4c3c1d9321825753d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-21T09:36:23Z","title_canon_sha256":"df0f171e4ae6c0b8c2b2e3074ff6d642e5514997dfe46664f72968dead1f7622"},"schema_version":"1.0","source":{"id":"1308.4520","kind":"arxiv","version":1}},"canonical_sha256":"997567417dcc7c77f4ea6c32d00a733b8f0aab28e9f8de186ef268158e6f7aed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"997567417dcc7c77f4ea6c32d00a733b8f0aab28e9f8de186ef268158e6f7aed","first_computed_at":"2026-05-18T03:15:21.828156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:21.828156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ISKhjD04YQ4TsYNtPinKu3rhSGDNjMZg8AD9FdfSyaJlNf/OuAVCGv/DgWBwsHjJmo/jRJxAnDmRJ/F+M2EAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:21.829012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46ce89ef5c7f73425f0ba5038ee15a87eaeb3f7df523d60a03e9b57818ded394","sha256:c27338574af38b368ea27c7d9025934913550828fc63a1b769860c0929d4fd70"],"state_sha256":"a1d1822a520b6c649c037b54b9d5a0161412e1aa7ed94c43feb3aad11e378d2a"}