{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UW2MS3LVZ44S4EW23B6VII7SPY","short_pith_number":"pith:UW2MS3LV","schema_version":"1.0","canonical_sha256":"a5b4c96d75cf392e12dad87d5423f27e24fd30fa889d85e8f6f765819abeef1f","source":{"kind":"arxiv","id":"1605.05965","version":1},"attestation_state":"computed","paper":{"title":"Transversal fluctuations for a first passage percolation model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Wei Wu, Yuri Bakhtin","submitted_at":"2016-05-19T14:15:03Z","abstract_excerpt":"We introduce a new first passage percolation model in a Poissonian environment on $\\mathbb{R}^{2}$. In this model, the action of a path depends on the geometry of the path and the travel time. We prove that the transversal fluctuation exponent for point-to-line action minimizers is at least $3/5$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1605.05965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-05-19T14:15:03Z","cross_cats_sorted":[],"title_canon_sha256":"903b2d1792f5d5f2ae623c171e3c449bfe91a632e923b53228ea014702dc2226","abstract_canon_sha256":"6e96e265f09791e2536d9bf835a9bcdc3f5d89ee4c3cf3d0cad7b9ec98822326"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:26.864596Z","signature_b64":"Gs1BjZo5br1PdShpRjx8wyw0tgvYgEyyMKCKlW+AaiGQpmUVzkd7O571XNqGyEUjGdMESiRHjB5JR7H1NqhpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5b4c96d75cf392e12dad87d5423f27e24fd30fa889d85e8f6f765819abeef1f","last_reissued_at":"2026-05-18T01:14:26.863991Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:26.863991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transversal fluctuations for a first passage percolation model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Wei Wu, Yuri Bakhtin","submitted_at":"2016-05-19T14:15:03Z","abstract_excerpt":"We introduce a new first passage percolation model in a Poissonian environment on $\\mathbb{R}^{2}$. In this model, the action of a path depends on the geometry of the path and the travel time. We prove that the transversal fluctuation exponent for point-to-line action minimizers is at least $3/5$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05965","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1605.05965","created_at":"2026-05-18T01:14:26.864086+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.05965v1","created_at":"2026-05-18T01:14:26.864086+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05965","created_at":"2026-05-18T01:14:26.864086+00:00"},{"alias_kind":"pith_short_12","alias_value":"UW2MS3LVZ44S","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UW2MS3LVZ44S4EW2","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UW2MS3LV","created_at":"2026-05-18T12:30:46.583412+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY","json":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY.json","graph_json":"https://pith.science/api/pith-number/UW2MS3LVZ44S4EW23B6VII7SPY/graph.json","events_json":"https://pith.science/api/pith-number/UW2MS3LVZ44S4EW23B6VII7SPY/events.json","paper":"https://pith.science/paper/UW2MS3LV"},"agent_actions":{"view_html":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY","download_json":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY.json","view_paper":"https://pith.science/paper/UW2MS3LV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.05965&json=true","fetch_graph":"https://pith.science/api/pith-number/UW2MS3LVZ44S4EW23B6VII7SPY/graph.json","fetch_events":"https://pith.science/api/pith-number/UW2MS3LVZ44S4EW23B6VII7SPY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY/action/storage_attestation","attest_author":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY/action/author_attestation","sign_citation":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY/action/citation_signature","submit_replication":"https://pith.science/pith/UW2MS3LVZ44S4EW23B6VII7SPY/action/replication_record"}},"created_at":"2026-05-18T01:14:26.864086+00:00","updated_at":"2026-05-18T01:14:26.864086+00:00"}