{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:R7XKV4QCRVB5VPF2VQRAHDBYT5","short_pith_number":"pith:R7XKV4QC","schema_version":"1.0","canonical_sha256":"8feeaaf2028d43dabcbaac22038c389f5f60726934c35b427db29f22ba0028fb","source":{"kind":"arxiv","id":"2405.14924","version":1},"attestation_state":"computed","paper":{"title":"Upper tail large deviations of the directed landscape","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"B\\'alint Vir\\'ag, Duncan Dauvergne, Sayan Das","submitted_at":"2024-05-23T17:57:06Z","abstract_excerpt":"Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one correspondence with measures supported on a set of countably many paths, and the rate function is given by a certain Kruzhkov entropy of these measures. As an application of our main result, we prove a large deviation principle for the directed geodesic."},"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":"2405.14924","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-05-23T17:57:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fe0247395f9ed263951ea49f110f5e307bfd63dda0d65a8b1223f8080291c917","abstract_canon_sha256":"ad0cfd8031150096223a94e499a05de56e48dddb90650139223c539cbf4dab41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:22:42.831774Z","signature_b64":"mWw/C7NdKxQKcUHyj+uP3cDOu15SUC50oQ1VTXgkbCz0NOIzNAjHNau8/0XhkpytzsXCz4X1/Aa/+yQtDSviBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8feeaaf2028d43dabcbaac22038c389f5f60726934c35b427db29f22ba0028fb","last_reissued_at":"2026-07-05T08:22:42.831396Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:22:42.831396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Upper tail large deviations of the directed landscape","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"B\\'alint Vir\\'ag, Duncan Dauvergne, Sayan Das","submitted_at":"2024-05-23T17:57:06Z","abstract_excerpt":"Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one correspondence with measures supported on a set of countably many paths, and the rate function is given by a certain Kruzhkov entropy of these measures. As an application of our main result, we prove a large deviation principle for the directed geodesic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.14924","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.14924/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2405.14924","created_at":"2026-07-05T08:22:42.831448+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.14924v1","created_at":"2026-07-05T08:22:42.831448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.14924","created_at":"2026-07-05T08:22:42.831448+00:00"},{"alias_kind":"pith_short_12","alias_value":"R7XKV4QCRVB5","created_at":"2026-07-05T08:22:42.831448+00:00"},{"alias_kind":"pith_short_16","alias_value":"R7XKV4QCRVB5VPF2","created_at":"2026-07-05T08:22:42.831448+00:00"},{"alias_kind":"pith_short_8","alias_value":"R7XKV4QC","created_at":"2026-07-05T08:22:42.831448+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.00942","citing_title":"Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5","json":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5.json","graph_json":"https://pith.science/api/pith-number/R7XKV4QCRVB5VPF2VQRAHDBYT5/graph.json","events_json":"https://pith.science/api/pith-number/R7XKV4QCRVB5VPF2VQRAHDBYT5/events.json","paper":"https://pith.science/paper/R7XKV4QC"},"agent_actions":{"view_html":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5","download_json":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5.json","view_paper":"https://pith.science/paper/R7XKV4QC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.14924&json=true","fetch_graph":"https://pith.science/api/pith-number/R7XKV4QCRVB5VPF2VQRAHDBYT5/graph.json","fetch_events":"https://pith.science/api/pith-number/R7XKV4QCRVB5VPF2VQRAHDBYT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5/action/storage_attestation","attest_author":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5/action/author_attestation","sign_citation":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5/action/citation_signature","submit_replication":"https://pith.science/pith/R7XKV4QCRVB5VPF2VQRAHDBYT5/action/replication_record"}},"created_at":"2026-07-05T08:22:42.831448+00:00","updated_at":"2026-07-05T08:22:42.831448+00:00"}