{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:H6UOFQIOVUEELMH2DAWE7R4RNU","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":"75df7c7ef2f143ee29ce82833ec8f1ad510392947d42f8340d3fe5c0a22b57d3","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-31T17:58:04Z","title_canon_sha256":"cffbeaa2966062327ffa99acd75ec8849e5c5edad3b34afd5f029507fb3afd6e"},"schema_version":"1.0","source":{"id":"1710.11623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11623","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11623v1","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11623","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"H6UOFQIOVUEE","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"H6UOFQIOVUEELMH2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"H6UOFQIO","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:fe93deaceacc90923cb5ce26cb65667bcd91cac2bbc8179c836de2128a219d2e","target":"graph","created_at":"2026-05-18T00:31:36Z","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"},"paper":{"abstract_excerpt":"Directed last passage percolation models on the plane, where one studies the weight as well as the geometry of optimizing paths (called polymers) in a field of i.i.d. weights, are paradigm examples of models in the KPZ universality class. In this article, we consider the large deviation regime, i.e., when the polymer has a much smaller (lower tail) or larger (upper tail) weight than typical. Precise asymptotics of large deviation probabilities have been obtained in a handful of the so-called exactly solvable scenarios, including the Exponential (Johansson, '00) and Poissonian (Sepp\\\"al\\\"ainen,","authors_text":"Allan Sly, Riddhipratim Basu, Shirshendu Ganguly","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-31T17:58:04Z","title":"Delocalization of Polymers in Lower Tail Large Deviation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11623","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:ce130676046080a5e0241f5b191d048497bb5a182c64a983247427723ca7fa7d","target":"record","created_at":"2026-05-18T00:31:36Z","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":"75df7c7ef2f143ee29ce82833ec8f1ad510392947d42f8340d3fe5c0a22b57d3","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-31T17:58:04Z","title_canon_sha256":"cffbeaa2966062327ffa99acd75ec8849e5c5edad3b34afd5f029507fb3afd6e"},"schema_version":"1.0","source":{"id":"1710.11623","kind":"arxiv","version":1}},"canonical_sha256":"3fa8e2c10ead0845b0fa182c4fc7916d3ea4c55e29e6eee973b76a53acde7b7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fa8e2c10ead0845b0fa182c4fc7916d3ea4c55e29e6eee973b76a53acde7b7e","first_computed_at":"2026-05-18T00:31:36.843461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:36.843461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G5FVBNrNMy22L0EHk6zBEi67AYAJ7bBOxkyRmNJ5Dh3Wu8yj27Wh2olav85CsJEkmt2QvvGn8b6aIUP1NI9IDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:36.844120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.11623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce130676046080a5e0241f5b191d048497bb5a182c64a983247427723ca7fa7d","sha256:fe93deaceacc90923cb5ce26cb65667bcd91cac2bbc8179c836de2128a219d2e"],"state_sha256":"f7a865ff5d240e57e2123b053614182cc87b4dc04098b150ce8bb94b901772c5"}