{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GVROTBPVOS4V4J4V3U5G7YPKJ6","short_pith_number":"pith:GVROTBPV","canonical_record":{"source":{"id":"1805.08411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","cross_cats_sorted":[],"title_canon_sha256":"a34c5659d751bd3f759ba6e23f616f44403b67de4d254a917d7eea85659c080c","abstract_canon_sha256":"fa2120059faef0ca7a4ffc9a116fdbe61111b1393479cdfd3361e589c29f40ca"},"schema_version":"1.0"},"canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","source":{"kind":"arxiv","id":"1805.08411","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08411","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08411v1","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08411","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"pith_short_12","alias_value":"GVROTBPVOS4V","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GVROTBPVOS4V4J4V","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GVROTBPV","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GVROTBPVOS4V4J4V3U5G7YPKJ6","target":"record","payload":{"canonical_record":{"source":{"id":"1805.08411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","cross_cats_sorted":[],"title_canon_sha256":"a34c5659d751bd3f759ba6e23f616f44403b67de4d254a917d7eea85659c080c","abstract_canon_sha256":"fa2120059faef0ca7a4ffc9a116fdbe61111b1393479cdfd3361e589c29f40ca"},"schema_version":"1.0"},"canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:26.583005Z","signature_b64":"a97E1AZPApnT6eGXowpcDzeIYhfGKWudbb0MRDcmkJy416tHWh4FAQDCa1XPiIgaNnOVBwwJ61MV7yIv1THLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","last_reissued_at":"2026-05-18T00:15:26.582263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:26.582263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.08411","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":"2026-05-18T00:15:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEA8PlFxVR8bpfbwkawWpJ8njZUu1JYTNZGBOn3Ne2RL0ZIjENgMGT9GkeSSuwRTbv/zJ95gdO/4beA+0g5cCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:56:08.842888Z"},"content_sha256":"92155a92b9647dac2b875f8ab2ef01bbfbb361ecf819e51a8d541d2c37c51c39","schema_version":"1.0","event_id":"sha256:92155a92b9647dac2b875f8ab2ef01bbfbb361ecf819e51a8d541d2c37c51c39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GVROTBPVOS4V4J4V3U5G7YPKJ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the probabilistic Cauchy theory for nonlinear dispersive PDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"\\'Arp\\'ad B\\'enyi, Oana Pocovnicu, Tadahiro Oh","submitted_at":"2018-05-22T05:57:39Z","abstract_excerpt":"In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08411","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":"2026-05-18T00:15:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/k2dGtp8uFe3t+Ll023PM+JZcPmLlXL7TRvkiMrWjeff/NGtr/RHZBZD+Jr4cfqnhTSlLXN8SFsk1LRaV0ftCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:56:08.843455Z"},"content_sha256":"a34a3e554addcddeda773417b4eebba64db7435bf08fbf48907492063182431d","schema_version":"1.0","event_id":"sha256:a34a3e554addcddeda773417b4eebba64db7435bf08fbf48907492063182431d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6/bundle.json","state_url":"https://pith.science/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6/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":"2026-06-25T12:56:08Z","links":{"resolver":"https://pith.science/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6","bundle":"https://pith.science/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6/bundle.json","state":"https://pith.science/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GVROTBPVOS4V4J4V3U5G7YPKJ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GVROTBPVOS4V4J4V3U5G7YPKJ6","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":"fa2120059faef0ca7a4ffc9a116fdbe61111b1393479cdfd3361e589c29f40ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","title_canon_sha256":"a34c5659d751bd3f759ba6e23f616f44403b67de4d254a917d7eea85659c080c"},"schema_version":"1.0","source":{"id":"1805.08411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08411","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08411v1","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08411","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"pith_short_12","alias_value":"GVROTBPVOS4V","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GVROTBPVOS4V4J4V","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GVROTBPV","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:a34a3e554addcddeda773417b4eebba64db7435bf08fbf48907492063182431d","target":"graph","created_at":"2026-05-18T00:15:26Z","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 this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.","authors_text":"\\'Arp\\'ad B\\'enyi, Oana Pocovnicu, Tadahiro Oh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","title":"On the probabilistic Cauchy theory for nonlinear dispersive PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08411","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":"sha256:92155a92b9647dac2b875f8ab2ef01bbfbb361ecf819e51a8d541d2c37c51c39","target":"record","created_at":"2026-05-18T00:15:26Z","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":"fa2120059faef0ca7a4ffc9a116fdbe61111b1393479cdfd3361e589c29f40ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","title_canon_sha256":"a34c5659d751bd3f759ba6e23f616f44403b67de4d254a917d7eea85659c080c"},"schema_version":"1.0","source":{"id":"1805.08411","kind":"arxiv","version":1}},"canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","first_computed_at":"2026-05-18T00:15:26.582263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:26.582263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a97E1AZPApnT6eGXowpcDzeIYhfGKWudbb0MRDcmkJy416tHWh4FAQDCa1XPiIgaNnOVBwwJ61MV7yIv1THLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:26.583005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92155a92b9647dac2b875f8ab2ef01bbfbb361ecf819e51a8d541d2c37c51c39","sha256:a34a3e554addcddeda773417b4eebba64db7435bf08fbf48907492063182431d"],"state_sha256":"5d096e7dd399a9d16ea462d3e18b7db2d266d98e53ea9f76e2fc3bba5ed03d10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZKn1HjYZ8jWtIbIPyIoPAN5Quaz7PMn4Cl38nwlt6NqrSOut5NCm7TP0SwoE5zL5BT9wKYIK70pB8q0OfVbBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T12:56:08.846105Z","bundle_sha256":"f98d2c8f062d7614959e949f2927829740c03024a3eac2c191aabc69aa8ba614"}}