{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MRXWZHDN433DA2UUMBZ54BUHZT","short_pith_number":"pith:MRXWZHDN","canonical_record":{"source":{"id":"1702.03079","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2017-02-10T06:47:59Z","cross_cats_sorted":[],"title_canon_sha256":"681d2e938339f105a5da6da34e2ddac9b7149657dc39c07b9816c24402255e90","abstract_canon_sha256":"654d7dcc3508246f409d2b486ae41d3b50264d07e2396d908eb3bcdd66a1533e"},"schema_version":"1.0"},"canonical_sha256":"646f6c9c6de6f6306a946073de0687cce768c055d31c4fdb4caa53892e5185d2","source":{"kind":"arxiv","id":"1702.03079","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03079","created_at":"2026-05-18T00:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03079v2","created_at":"2026-05-18T00:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03079","created_at":"2026-05-18T00:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"MRXWZHDN433D","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MRXWZHDN433DA2UU","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MRXWZHDN","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MRXWZHDN433DA2UUMBZ54BUHZT","target":"record","payload":{"canonical_record":{"source":{"id":"1702.03079","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2017-02-10T06:47:59Z","cross_cats_sorted":[],"title_canon_sha256":"681d2e938339f105a5da6da34e2ddac9b7149657dc39c07b9816c24402255e90","abstract_canon_sha256":"654d7dcc3508246f409d2b486ae41d3b50264d07e2396d908eb3bcdd66a1533e"},"schema_version":"1.0"},"canonical_sha256":"646f6c9c6de6f6306a946073de0687cce768c055d31c4fdb4caa53892e5185d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:08.747438Z","signature_b64":"Eu6EphkBAgnRpvZuuNKKabLSkYxeWj3tdXHV796DFyqFLqMBT4F4ArnCBiQiDs/UZK0biO4pFXiucZkT/b51Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"646f6c9c6de6f6306a946073de0687cce768c055d31c4fdb4caa53892e5185d2","last_reissued_at":"2026-05-18T00:43:08.746675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:08.746675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.03079","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":"2026-05-18T00:43:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KR7hbfYaCO6inQx1uOdbpkU8UlHUbAy6oFFlln1bqOsQjRwXnwrkZaQNDrHjC6bG/3rV9s193miI905JwQ9KAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:07:26.846747Z"},"content_sha256":"07a4bbd4afd9e4f178db7885b56291fc81f1b3af244497c0d844da32dedcee03","schema_version":"1.0","event_id":"sha256:07a4bbd4afd9e4f178db7885b56291fc81f1b3af244497c0d844da32dedcee03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MRXWZHDN433DA2UUMBZ54BUHZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Burgers equation with fractional derivative driven by multiplicative noise","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bo Wang, Guang-an Zou","submitted_at":"2017-02-10T06:47:59Z","abstract_excerpt":"This article is devoted to the study of the existence and uniqueness of mild solution to time- and space-fractional stochastic Burgers equation perturbed by multiplicative white noise. The required results are obtained by stochastic analysis techniques, fractional calculus and semigroup theory. We also proved the regularity properties of mild solution for this generalized Burgers equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03079","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":"2026-05-18T00:43:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lj92NvXE6aHc2GALbWi1etC/VrQ2UyYQV+Sl725zlo/je6ZuJ6YO0V50sV9ulIHJXUF8vfSpZ6XQVhsORIm3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:07:26.847463Z"},"content_sha256":"2ad616b0ca6ace25838416541986b44bac25ca5e79e37f3871bda989b578584a","schema_version":"1.0","event_id":"sha256:2ad616b0ca6ace25838416541986b44bac25ca5e79e37f3871bda989b578584a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRXWZHDN433DA2UUMBZ54BUHZT/bundle.json","state_url":"https://pith.science/pith/MRXWZHDN433DA2UUMBZ54BUHZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRXWZHDN433DA2UUMBZ54BUHZT/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":"2026-06-07T00:07:26Z","links":{"resolver":"https://pith.science/pith/MRXWZHDN433DA2UUMBZ54BUHZT","bundle":"https://pith.science/pith/MRXWZHDN433DA2UUMBZ54BUHZT/bundle.json","state":"https://pith.science/pith/MRXWZHDN433DA2UUMBZ54BUHZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRXWZHDN433DA2UUMBZ54BUHZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MRXWZHDN433DA2UUMBZ54BUHZT","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":"654d7dcc3508246f409d2b486ae41d3b50264d07e2396d908eb3bcdd66a1533e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2017-02-10T06:47:59Z","title_canon_sha256":"681d2e938339f105a5da6da34e2ddac9b7149657dc39c07b9816c24402255e90"},"schema_version":"1.0","source":{"id":"1702.03079","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03079","created_at":"2026-05-18T00:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03079v2","created_at":"2026-05-18T00:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03079","created_at":"2026-05-18T00:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"MRXWZHDN433D","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MRXWZHDN433DA2UU","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MRXWZHDN","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:2ad616b0ca6ace25838416541986b44bac25ca5e79e37f3871bda989b578584a","target":"graph","created_at":"2026-05-18T00:43:08Z","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":"This article is devoted to the study of the existence and uniqueness of mild solution to time- and space-fractional stochastic Burgers equation perturbed by multiplicative white noise. The required results are obtained by stochastic analysis techniques, fractional calculus and semigroup theory. We also proved the regularity properties of mild solution for this generalized Burgers equation.","authors_text":"Bo Wang, Guang-an Zou","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2017-02-10T06:47:59Z","title":"Stochastic Burgers equation with fractional derivative driven by multiplicative noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03079","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":"sha256:07a4bbd4afd9e4f178db7885b56291fc81f1b3af244497c0d844da32dedcee03","target":"record","created_at":"2026-05-18T00:43:08Z","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":"654d7dcc3508246f409d2b486ae41d3b50264d07e2396d908eb3bcdd66a1533e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2017-02-10T06:47:59Z","title_canon_sha256":"681d2e938339f105a5da6da34e2ddac9b7149657dc39c07b9816c24402255e90"},"schema_version":"1.0","source":{"id":"1702.03079","kind":"arxiv","version":2}},"canonical_sha256":"646f6c9c6de6f6306a946073de0687cce768c055d31c4fdb4caa53892e5185d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"646f6c9c6de6f6306a946073de0687cce768c055d31c4fdb4caa53892e5185d2","first_computed_at":"2026-05-18T00:43:08.746675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:08.746675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eu6EphkBAgnRpvZuuNKKabLSkYxeWj3tdXHV796DFyqFLqMBT4F4ArnCBiQiDs/UZK0biO4pFXiucZkT/b51Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:08.747438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03079","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07a4bbd4afd9e4f178db7885b56291fc81f1b3af244497c0d844da32dedcee03","sha256:2ad616b0ca6ace25838416541986b44bac25ca5e79e37f3871bda989b578584a"],"state_sha256":"40b43c4434a48af2075a6604ce69339169b628e416ac029beff6d6c4c4362510"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lwot9e/lzk4xw98YIIRLLLx33ZoxhtmvExI5Hf0h4j5f8t9U/N94wFNGruN+l7SzeQWDdmznKdlRbbvIc9ZKDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T00:07:26.850587Z","bundle_sha256":"27d744ae4109ae729e4c630bacdef067db55062868377a6d99da2518138d3fff"}}