{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FJWRYWTWQESUQOU4TFYMCPXTWU","short_pith_number":"pith:FJWRYWTW","schema_version":"1.0","canonical_sha256":"2a6d1c5a768125483a9c9970c13ef3b5380372cba872ca2eff71e45c883bcb22","source":{"kind":"arxiv","id":"1310.1749","version":1},"attestation_state":"computed","paper":{"title":"Stochastic homogenization of viscous Hamilton-Jacobi equations and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Hung V. Tran, Scott N. Armstrong","submitted_at":"2013-10-07T12:22:37Z","abstract_excerpt":"We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (solutions of the \"metric problem\"). This permits us to give qualitative homogenization results under very general hypotheses: in particular, we treat non-uniformly coercive Hamiltonians which satisfy instead a weaker averaging condition. As an application, we derive a general quenched large deviations principle for diffusions in random environments and with absorbing random potentials."},"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":"1310.1749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-07T12:22:37Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"63c8e0edcd0fe543b1eeff36dc22870051762f1d892847ab75327356957e645c","abstract_canon_sha256":"9d85d4b9004a7d0eeee1963c6c61c65ac723b654fa10576275e56058f42fd536"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:24.846900Z","signature_b64":"MV5UV6M3rXA9WLhdHvOMAr1Qf82oaeYZDGBO93sDFPTefGlX5yJ62DFKKAXtxHmaJf3AIogyVe6x2XVyd5H8AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a6d1c5a768125483a9c9970c13ef3b5380372cba872ca2eff71e45c883bcb22","last_reissued_at":"2026-05-18T01:22:24.846275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:24.846275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic homogenization of viscous Hamilton-Jacobi equations and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Hung V. Tran, Scott N. Armstrong","submitted_at":"2013-10-07T12:22:37Z","abstract_excerpt":"We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (solutions of the \"metric problem\"). This permits us to give qualitative homogenization results under very general hypotheses: in particular, we treat non-uniformly coercive Hamiltonians which satisfy instead a weaker averaging condition. As an application, we derive a general quenched large deviations principle for diffusions in random environments and with absorbing random potentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1749","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":"1310.1749","created_at":"2026-05-18T01:22:24.846372+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.1749v1","created_at":"2026-05-18T01:22:24.846372+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1749","created_at":"2026-05-18T01:22:24.846372+00:00"},{"alias_kind":"pith_short_12","alias_value":"FJWRYWTWQESU","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FJWRYWTWQESUQOU4","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FJWRYWTW","created_at":"2026-05-18T12:27:45.050594+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/FJWRYWTWQESUQOU4TFYMCPXTWU","json":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU.json","graph_json":"https://pith.science/api/pith-number/FJWRYWTWQESUQOU4TFYMCPXTWU/graph.json","events_json":"https://pith.science/api/pith-number/FJWRYWTWQESUQOU4TFYMCPXTWU/events.json","paper":"https://pith.science/paper/FJWRYWTW"},"agent_actions":{"view_html":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU","download_json":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU.json","view_paper":"https://pith.science/paper/FJWRYWTW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.1749&json=true","fetch_graph":"https://pith.science/api/pith-number/FJWRYWTWQESUQOU4TFYMCPXTWU/graph.json","fetch_events":"https://pith.science/api/pith-number/FJWRYWTWQESUQOU4TFYMCPXTWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU/action/storage_attestation","attest_author":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU/action/author_attestation","sign_citation":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU/action/citation_signature","submit_replication":"https://pith.science/pith/FJWRYWTWQESUQOU4TFYMCPXTWU/action/replication_record"}},"created_at":"2026-05-18T01:22:24.846372+00:00","updated_at":"2026-05-18T01:22:24.846372+00:00"}