{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2ZVIVMGP23AOD3FLNOE3GSDEGM","short_pith_number":"pith:2ZVIVMGP","canonical_record":{"source":{"id":"1702.02523","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-08T17:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"5facbcce8b04e4334f189eceb27eb7888e7b1b18685ea9ec44071ed03da48e98","abstract_canon_sha256":"eb412a377a9054b197f606727debcd6c5e8806ae5c3420ef26a17ec5c2c242da"},"schema_version":"1.0"},"canonical_sha256":"d66a8ab0cfd6c0e1ecab6b89b348643316f12681f0133db7df7d409eac12a676","source":{"kind":"arxiv","id":"1702.02523","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02523","created_at":"2026-05-18T00:49:36Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02523v2","created_at":"2026-05-18T00:49:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02523","created_at":"2026-05-18T00:49:36Z"},{"alias_kind":"pith_short_12","alias_value":"2ZVIVMGP23AO","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2ZVIVMGP23AOD3FL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2ZVIVMGP","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2ZVIVMGP23AOD3FLNOE3GSDEGM","target":"record","payload":{"canonical_record":{"source":{"id":"1702.02523","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-08T17:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"5facbcce8b04e4334f189eceb27eb7888e7b1b18685ea9ec44071ed03da48e98","abstract_canon_sha256":"eb412a377a9054b197f606727debcd6c5e8806ae5c3420ef26a17ec5c2c242da"},"schema_version":"1.0"},"canonical_sha256":"d66a8ab0cfd6c0e1ecab6b89b348643316f12681f0133db7df7d409eac12a676","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:36.237160Z","signature_b64":"x2Et2FUy7fkV1bdzbTAqp9ntDJRtz04wfxEbOAXREznL6+JjVSmmMA5TirP3Q28O+xiJS++7JICo5aW0Hh/cBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d66a8ab0cfd6c0e1ecab6b89b348643316f12681f0133db7df7d409eac12a676","last_reissued_at":"2026-05-18T00:49:36.236581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:36.236581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.02523","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":"2026-05-18T00:49:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yvAAhBgUiASPyyKbF5XB5GBlAQVQY38JUsB+WRqwk3brvw4kvMEl7K+UgYNOg2VTf4hF1fY/Fmnlkqp5vey2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:11:13.496300Z"},"content_sha256":"6ddfc5f85e67aeef11f7e6de91ef1625e0e70665c0d719969da1c143ab03bdd1","schema_version":"1.0","event_id":"sha256:6ddfc5f85e67aeef11f7e6de91ef1625e0e70665c0d719969da1c143ab03bdd1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2ZVIVMGP23AOD3FLNOE3GSDEGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The nonlinear Schr\\\"odinger Equation driven by jump processes","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anne de Bouard, Erika Hausenblas","submitted_at":"2017-02-08T17:04:45Z","abstract_excerpt":"The main result of the paper is the existence of a solution of the nonlinear Schr\\\"odinger equation with a \\levy noise with infinite activity. To be more precise, let $A=\\Delta$ be the Laplace operator with $D(A)=\\{ u\\in L ^2 (\\mathbb{R} ^d): \\Delta u \\in L ^2 (\\mathbb{R} ^d)\\}$. Let $Z\\hookrightarrow L ^2(\\mathbb{R} ^d)$ be a function space and $\\eta$ be a Poisson random measure on $Z$, let $g:\\mathbb{R}\\to\\mathbb{C}$ and $h:\\mathbb{R}\\to\\mathbb{C}$ be some given functions, satisfying certain conditions specified later. Let $\\alpha\\ge 1$ and $\\lambda\\ge 0$. We are interested in the solution o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02523","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":"2026-05-18T00:49:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"arFehVwIq/vlyTqK6h5VCnp9CdQwsTehzl5z+7YZloGCZL+B8HUIhn3x27e1w3RNb19X0m6ndPY2Gp4S8k/JAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:11:13.497032Z"},"content_sha256":"56d9f1fba791e24b7942113e78ff8618cb5950c2bb846188e03d027a60db0542","schema_version":"1.0","event_id":"sha256:56d9f1fba791e24b7942113e78ff8618cb5950c2bb846188e03d027a60db0542"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM/bundle.json","state_url":"https://pith.science/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM/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":"2026-06-10T04:11:13Z","links":{"resolver":"https://pith.science/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM","bundle":"https://pith.science/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM/bundle.json","state":"https://pith.science/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2ZVIVMGP23AOD3FLNOE3GSDEGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2ZVIVMGP23AOD3FLNOE3GSDEGM","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":"eb412a377a9054b197f606727debcd6c5e8806ae5c3420ef26a17ec5c2c242da","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-08T17:04:45Z","title_canon_sha256":"5facbcce8b04e4334f189eceb27eb7888e7b1b18685ea9ec44071ed03da48e98"},"schema_version":"1.0","source":{"id":"1702.02523","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02523","created_at":"2026-05-18T00:49:36Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02523v2","created_at":"2026-05-18T00:49:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02523","created_at":"2026-05-18T00:49:36Z"},{"alias_kind":"pith_short_12","alias_value":"2ZVIVMGP23AO","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2ZVIVMGP23AOD3FL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2ZVIVMGP","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:56d9f1fba791e24b7942113e78ff8618cb5950c2bb846188e03d027a60db0542","target":"graph","created_at":"2026-05-18T00:49:36Z","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":"The main result of the paper is the existence of a solution of the nonlinear Schr\\\"odinger equation with a \\levy noise with infinite activity. To be more precise, let $A=\\Delta$ be the Laplace operator with $D(A)=\\{ u\\in L ^2 (\\mathbb{R} ^d): \\Delta u \\in L ^2 (\\mathbb{R} ^d)\\}$. Let $Z\\hookrightarrow L ^2(\\mathbb{R} ^d)$ be a function space and $\\eta$ be a Poisson random measure on $Z$, let $g:\\mathbb{R}\\to\\mathbb{C}$ and $h:\\mathbb{R}\\to\\mathbb{C}$ be some given functions, satisfying certain conditions specified later. Let $\\alpha\\ge 1$ and $\\lambda\\ge 0$. We are interested in the solution o","authors_text":"Anne de Bouard, Erika Hausenblas","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-08T17:04:45Z","title":"The nonlinear Schr\\\"odinger Equation driven by jump processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02523","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":"sha256:6ddfc5f85e67aeef11f7e6de91ef1625e0e70665c0d719969da1c143ab03bdd1","target":"record","created_at":"2026-05-18T00:49:36Z","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":"eb412a377a9054b197f606727debcd6c5e8806ae5c3420ef26a17ec5c2c242da","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-08T17:04:45Z","title_canon_sha256":"5facbcce8b04e4334f189eceb27eb7888e7b1b18685ea9ec44071ed03da48e98"},"schema_version":"1.0","source":{"id":"1702.02523","kind":"arxiv","version":2}},"canonical_sha256":"d66a8ab0cfd6c0e1ecab6b89b348643316f12681f0133db7df7d409eac12a676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d66a8ab0cfd6c0e1ecab6b89b348643316f12681f0133db7df7d409eac12a676","first_computed_at":"2026-05-18T00:49:36.236581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:36.236581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x2Et2FUy7fkV1bdzbTAqp9ntDJRtz04wfxEbOAXREznL6+JjVSmmMA5TirP3Q28O+xiJS++7JICo5aW0Hh/cBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:36.237160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02523","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ddfc5f85e67aeef11f7e6de91ef1625e0e70665c0d719969da1c143ab03bdd1","sha256:56d9f1fba791e24b7942113e78ff8618cb5950c2bb846188e03d027a60db0542"],"state_sha256":"7f31a4ccc3179806f1bc407190ada935f845f818e631406e0ec82748ac637f33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gcf+xFnJ+4H9nXajQ4MEIkZf9MJmQuUdWGdgkx/Ibn+OSBRfAu2YHTGtNiLSeZPuoxtmvglW49lKp7tJbW8mCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:11:13.500773Z","bundle_sha256":"dfdc4717d8acb1709ae0480232995e683f33d944a204f83ff329b89d84e68680"}}