{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7LCKYS2FN3WG2I3ZHHLFDCLWQR","short_pith_number":"pith:7LCKYS2F","canonical_record":{"source":{"id":"1404.5863","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-23T15:25:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0426b930f125f30c313c1ac67c51467387a4acbeadbbf5c5b5e35ee28fd98213","abstract_canon_sha256":"5366d8e57fcf7ee2dc62331dc70d4c2cf846c6ea41352244f3754f1126d71e85"},"schema_version":"1.0"},"canonical_sha256":"fac4ac4b456eec6d237939d6518976846ed6e596670cf2c09ba00ec9dbc03289","source":{"kind":"arxiv","id":"1404.5863","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5863","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5863v2","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5863","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"7LCKYS2FN3WG","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LCKYS2FN3WG2I3Z","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LCKYS2F","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7LCKYS2FN3WG2I3ZHHLFDCLWQR","target":"record","payload":{"canonical_record":{"source":{"id":"1404.5863","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-23T15:25:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0426b930f125f30c313c1ac67c51467387a4acbeadbbf5c5b5e35ee28fd98213","abstract_canon_sha256":"5366d8e57fcf7ee2dc62331dc70d4c2cf846c6ea41352244f3754f1126d71e85"},"schema_version":"1.0"},"canonical_sha256":"fac4ac4b456eec6d237939d6518976846ed6e596670cf2c09ba00ec9dbc03289","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:09.904061Z","signature_b64":"Gy5ps3mdDufDVvEB+ITBm5Zf6D3Ak1nrcunA6nZDx4NarkNOaMAVA4FEM/MRVGslhks3GdnHvk1kgVs5SJF8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fac4ac4b456eec6d237939d6518976846ed6e596670cf2c09ba00ec9dbc03289","last_reissued_at":"2026-05-18T01:13:09.903681Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:09.903681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.5863","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tynQc4e50qv9oQOT54ciTgwc1H3C9PZvFlC1ahshjnI3e9wbwLXiQbXGqnDoCuXdVxLhan6uLiMUaUmk/NzYCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:15:52.366228Z"},"content_sha256":"fe5d5215dcdcaae4dbda90944943ede650eba119e09cee4cce07c66db2e2a20d","schema_version":"1.0","event_id":"sha256:fe5d5215dcdcaae4dbda90944943ede650eba119e09cee4cce07c66db2e2a20d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7LCKYS2FN3WG2I3ZHHLFDCLWQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Hendrik Weber, Martin Hairer","submitted_at":"2014-04-23T15:25:59Z","abstract_excerpt":"We study the stochastic Allen-Cahn equation driven by a noise term with intensity $\\sqrt{\\varepsilon}$ and correlation length $\\delta$ in two and three spatial dimensions. We study diagonal limits $\\delta, \\varepsilon \\to 0$ and describe fully the large deviation behaviour depending on the relationship between $\\delta$ and $\\varepsilon$.\n  The recently developed theory of regularity structures allows to fully analyse the behaviour of solutions for vanishing correlation length $\\delta$ and fixed noise intensity $\\varepsilon$. One key fact is that in order to get non-trivial limits as $\\delta \\t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5863","kind":"arxiv","version":2},"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":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYZJN/b88Kdy/meO8OiNecXn4WA1NHHvMKOUkOWcGVI9wNeDeeklNdy1hAnKIORBTpX4K+1gRl5zm80b8IyCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:15:52.366589Z"},"content_sha256":"6a29a2fcfe010d286153f37c8f726009d0699e9c7fb9b4cb288e219ded6b87cd","schema_version":"1.0","event_id":"sha256:6a29a2fcfe010d286153f37c8f726009d0699e9c7fb9b4cb288e219ded6b87cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR/bundle.json","state_url":"https://pith.science/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR/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":"2026-05-28T06:15:52Z","links":{"resolver":"https://pith.science/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR","bundle":"https://pith.science/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR/bundle.json","state":"https://pith.science/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7LCKYS2FN3WG2I3ZHHLFDCLWQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7LCKYS2FN3WG2I3ZHHLFDCLWQR","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":"5366d8e57fcf7ee2dc62331dc70d4c2cf846c6ea41352244f3754f1126d71e85","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-23T15:25:59Z","title_canon_sha256":"0426b930f125f30c313c1ac67c51467387a4acbeadbbf5c5b5e35ee28fd98213"},"schema_version":"1.0","source":{"id":"1404.5863","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5863","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5863v2","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5863","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"7LCKYS2FN3WG","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LCKYS2FN3WG2I3Z","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LCKYS2F","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:6a29a2fcfe010d286153f37c8f726009d0699e9c7fb9b4cb288e219ded6b87cd","target":"graph","created_at":"2026-05-18T01:13:09Z","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":"We study the stochastic Allen-Cahn equation driven by a noise term with intensity $\\sqrt{\\varepsilon}$ and correlation length $\\delta$ in two and three spatial dimensions. We study diagonal limits $\\delta, \\varepsilon \\to 0$ and describe fully the large deviation behaviour depending on the relationship between $\\delta$ and $\\varepsilon$.\n  The recently developed theory of regularity structures allows to fully analyse the behaviour of solutions for vanishing correlation length $\\delta$ and fixed noise intensity $\\varepsilon$. One key fact is that in order to get non-trivial limits as $\\delta \\t","authors_text":"Hendrik Weber, Martin Hairer","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-23T15:25:59Z","title":"Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5863","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:fe5d5215dcdcaae4dbda90944943ede650eba119e09cee4cce07c66db2e2a20d","target":"record","created_at":"2026-05-18T01:13:09Z","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":"5366d8e57fcf7ee2dc62331dc70d4c2cf846c6ea41352244f3754f1126d71e85","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-23T15:25:59Z","title_canon_sha256":"0426b930f125f30c313c1ac67c51467387a4acbeadbbf5c5b5e35ee28fd98213"},"schema_version":"1.0","source":{"id":"1404.5863","kind":"arxiv","version":2}},"canonical_sha256":"fac4ac4b456eec6d237939d6518976846ed6e596670cf2c09ba00ec9dbc03289","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fac4ac4b456eec6d237939d6518976846ed6e596670cf2c09ba00ec9dbc03289","first_computed_at":"2026-05-18T01:13:09.903681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:09.903681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gy5ps3mdDufDVvEB+ITBm5Zf6D3Ak1nrcunA6nZDx4NarkNOaMAVA4FEM/MRVGslhks3GdnHvk1kgVs5SJF8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:09.904061Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5863","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe5d5215dcdcaae4dbda90944943ede650eba119e09cee4cce07c66db2e2a20d","sha256:6a29a2fcfe010d286153f37c8f726009d0699e9c7fb9b4cb288e219ded6b87cd"],"state_sha256":"2cf02b15701654afb677ba2d8574d5d807e4a22285cefd0e1ab51fdd83afd4ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5sBaaiyX7CCcQ6xM6JmGpz6CK12SDPPMa308tKmtleKlUQ44cbF/a5ZHLyJAgIohTWyzu5fJ7+cIScBWjutNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:15:52.368531Z","bundle_sha256":"9ca37a392f5f4fcccea53cb8b1c92686210ead7ad0b5309352d237f2399f0d3a"}}