{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GFSLMTJEH25KODOLOOMJQTSXY3","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":"6971be3be88807401276e59257ba138b7eeb121d1b1bbe28cfe4b11d5109fbb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-27T20:32:00Z","title_canon_sha256":"df7d37d3cf7daeeaf1acce9bb4b143ebbc9d2a31b0395a8b39370af2cfe05ba9"},"schema_version":"1.0","source":{"id":"1712.09674","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09674","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09674v2","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09674","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"GFSLMTJEH25K","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"GFSLMTJEH25KODOL","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"GFSLMTJE","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:919abcccbfb4f68f1e7c22c806d5d9ceaffda5748edbfa94e3a300083af5428a","target":"graph","created_at":"2026-05-17T23:59:09Z","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":"In the present paper we study stochastic homogenization for reaction-diffusion equations with stationary ergodic reactions. We first show that under suitable hypotheses, initially localized solutions to the PDE asymptotically become approximate characteristic functions of a ballistically expanding Wulff shape. The next crucial component is the proper definition of relevant front speeds and subsequent establishment of their existence. We achieve the latter by finding a new relation between the front speeds and the Wulff shape, provided the Wulff shape does not have corners. Once front speeds ar","authors_text":"Andrej Zlato\\v{s}, Jessica Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-27T20:32:00Z","title":"Stochastic Homogenization for Reaction-Diffusion Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09674","kind":"arxiv","version":2},"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":"sha256:51e0483540f12b366c83520ab3b4cb73f3a2c379a239cad22370686ba2f91cc8","target":"record","created_at":"2026-05-17T23:59:09Z","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":"6971be3be88807401276e59257ba138b7eeb121d1b1bbe28cfe4b11d5109fbb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-27T20:32:00Z","title_canon_sha256":"df7d37d3cf7daeeaf1acce9bb4b143ebbc9d2a31b0395a8b39370af2cfe05ba9"},"schema_version":"1.0","source":{"id":"1712.09674","kind":"arxiv","version":2}},"canonical_sha256":"3164b64d243ebaa70dcb7398984e57c6f693ced4b365d6eebddbc8ed7761b16b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3164b64d243ebaa70dcb7398984e57c6f693ced4b365d6eebddbc8ed7761b16b","first_computed_at":"2026-05-17T23:59:09.881970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:09.881970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KqzKnYbZVEx9+ckIUguXddbNUn7iCCtyOTc8vQz7wFwOwL2b2G56x+b7d518lH347M23PXpIm7l2tkVCSJRXAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:09.882388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09674","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51e0483540f12b366c83520ab3b4cb73f3a2c379a239cad22370686ba2f91cc8","sha256:919abcccbfb4f68f1e7c22c806d5d9ceaffda5748edbfa94e3a300083af5428a"],"state_sha256":"4120c3dc44607d72d5127e84d7f8fc81135d4a702bd2d122afbb3ac161b89f7e"}