{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6EGHCSH6ONT7CPL2GPQZCUFXEJ","short_pith_number":"pith:6EGHCSH6","canonical_record":{"source":{"id":"1404.6911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-28T10:04:49Z","cross_cats_sorted":[],"title_canon_sha256":"1edbcf5f696c5cc1b66df562c14a217249deb32cbb4984c0a13bbe6a7ca2535a","abstract_canon_sha256":"ac92834d251afb4abcdbc9f4f70392a325ff4cca41576e3b06850b8c7a08b132"},"schema_version":"1.0"},"canonical_sha256":"f10c7148fe7367f13d7a33e19150b7227121783acdf0a566c301c1180f54efa2","source":{"kind":"arxiv","id":"1404.6911","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6911","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6911v1","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6911","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"pith_short_12","alias_value":"6EGHCSH6ONT7","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6EGHCSH6ONT7CPL2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6EGHCSH6","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6EGHCSH6ONT7CPL2GPQZCUFXEJ","target":"record","payload":{"canonical_record":{"source":{"id":"1404.6911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-28T10:04:49Z","cross_cats_sorted":[],"title_canon_sha256":"1edbcf5f696c5cc1b66df562c14a217249deb32cbb4984c0a13bbe6a7ca2535a","abstract_canon_sha256":"ac92834d251afb4abcdbc9f4f70392a325ff4cca41576e3b06850b8c7a08b132"},"schema_version":"1.0"},"canonical_sha256":"f10c7148fe7367f13d7a33e19150b7227121783acdf0a566c301c1180f54efa2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:05.576216Z","signature_b64":"3ID4NFxsB+te+jt9X0of2MCZLRESFOHYFKcqvR5cZni/gfX6GoRFwvlZS1wYJBn0DNnp+ENhAQgrIX8RyQF5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f10c7148fe7367f13d7a33e19150b7227121783acdf0a566c301c1180f54efa2","last_reissued_at":"2026-05-18T02:53:05.575740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:05.575740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.6911","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CdVgN3LV2+cwDyWykF6dDFcpdO+aWKlCyyklDMSp4a42JBWdkJXgfla1SkSp82inmjSuO5gCbf0DvpZnsCwfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:39:27.500046Z"},"content_sha256":"f4acbf4c2b313944bdbd66382ffa64daf3642bfa7f987b0360f1d16ce8af57e0","schema_version":"1.0","event_id":"sha256:f4acbf4c2b313944bdbd66382ffa64daf3642bfa7f987b0360f1d16ce8af57e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6EGHCSH6ONT7CPL2GPQZCUFXEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong invariance and noise-comparison principles for some parabolic stochastic PDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Carl Mueller, Davar Khoshnevisan, Mathew Joseph","submitted_at":"2014-04-28T10:04:49Z","abstract_excerpt":"We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a strong sense) to a solution of the stochastic heat equation on the real line. As a consequence, we obtain comparison inequalities for product moments of the stochastic heat equation with different nonlinearities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6911","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NKxLUI6e1D88Qp/rlUn857KkTOG3V16ucJwuGDafR6aL2ewjRZf2LePE/fi76VaHLAFqxIUJD+wjafkaYESaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:39:27.500746Z"},"content_sha256":"642a4571749ae419f0b63910169596f6217d2daf6ea3342ebed661dc983b36c2","schema_version":"1.0","event_id":"sha256:642a4571749ae419f0b63910169596f6217d2daf6ea3342ebed661dc983b36c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ/bundle.json","state_url":"https://pith.science/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T17:39:27Z","links":{"resolver":"https://pith.science/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ","bundle":"https://pith.science/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ/bundle.json","state":"https://pith.science/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EGHCSH6ONT7CPL2GPQZCUFXEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6EGHCSH6ONT7CPL2GPQZCUFXEJ","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":"ac92834d251afb4abcdbc9f4f70392a325ff4cca41576e3b06850b8c7a08b132","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-28T10:04:49Z","title_canon_sha256":"1edbcf5f696c5cc1b66df562c14a217249deb32cbb4984c0a13bbe6a7ca2535a"},"schema_version":"1.0","source":{"id":"1404.6911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6911","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6911v1","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6911","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"pith_short_12","alias_value":"6EGHCSH6ONT7","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6EGHCSH6ONT7CPL2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6EGHCSH6","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:642a4571749ae419f0b63910169596f6217d2daf6ea3342ebed661dc983b36c2","target":"graph","created_at":"2026-05-18T02:53:05Z","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":"We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a strong sense) to a solution of the stochastic heat equation on the real line. As a consequence, we obtain comparison inequalities for product moments of the stochastic heat equation with different nonlinearities.","authors_text":"Carl Mueller, Davar Khoshnevisan, Mathew Joseph","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-28T10:04:49Z","title":"Strong invariance and noise-comparison principles for some parabolic stochastic PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6911","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:f4acbf4c2b313944bdbd66382ffa64daf3642bfa7f987b0360f1d16ce8af57e0","target":"record","created_at":"2026-05-18T02:53:05Z","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":"ac92834d251afb4abcdbc9f4f70392a325ff4cca41576e3b06850b8c7a08b132","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-28T10:04:49Z","title_canon_sha256":"1edbcf5f696c5cc1b66df562c14a217249deb32cbb4984c0a13bbe6a7ca2535a"},"schema_version":"1.0","source":{"id":"1404.6911","kind":"arxiv","version":1}},"canonical_sha256":"f10c7148fe7367f13d7a33e19150b7227121783acdf0a566c301c1180f54efa2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f10c7148fe7367f13d7a33e19150b7227121783acdf0a566c301c1180f54efa2","first_computed_at":"2026-05-18T02:53:05.575740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:05.575740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ID4NFxsB+te+jt9X0of2MCZLRESFOHYFKcqvR5cZni/gfX6GoRFwvlZS1wYJBn0DNnp+ENhAQgrIX8RyQF5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:05.576216Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4acbf4c2b313944bdbd66382ffa64daf3642bfa7f987b0360f1d16ce8af57e0","sha256:642a4571749ae419f0b63910169596f6217d2daf6ea3342ebed661dc983b36c2"],"state_sha256":"700dce7d6c68cb029d4d41a704ed30f755ce714558a0e6cba3b057193eb09f3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y9uzQ6/n75gc54mimsrJsAzVQOQrQyhEqj72UpKy2500dehhwLV8vloYP9CqBjhMIMxc3Qi5TmJiEh1OEhGEAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:39:27.506207Z","bundle_sha256":"914b882d29c407725e323e1720665292fed21615d9d8aa9b253719354de72a60"}}