{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IR6C7S47OC37RBSVX3LLOZFZQS","short_pith_number":"pith:IR6C7S47","canonical_record":{"source":{"id":"1805.10797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-28T07:48:17Z","cross_cats_sorted":[],"title_canon_sha256":"81bfb4cdce0b16d71f592e5c5ef72e55892cee433d3729ddf102099cdc0e097c","abstract_canon_sha256":"6a3e3c479edb2f0bcef01ca1d584b34f3b7853e7744547df3a82c80fd34d30e4"},"schema_version":"1.0"},"canonical_sha256":"447c2fcb9f70b7f88655bed6b764b984809d56536e037f40e52289c5d0922906","source":{"kind":"arxiv","id":"1805.10797","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10797","created_at":"2026-05-18T00:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10797v1","created_at":"2026-05-18T00:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10797","created_at":"2026-05-18T00:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"IR6C7S47OC37","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IR6C7S47OC37RBSV","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IR6C7S47","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IR6C7S47OC37RBSVX3LLOZFZQS","target":"record","payload":{"canonical_record":{"source":{"id":"1805.10797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-28T07:48:17Z","cross_cats_sorted":[],"title_canon_sha256":"81bfb4cdce0b16d71f592e5c5ef72e55892cee433d3729ddf102099cdc0e097c","abstract_canon_sha256":"6a3e3c479edb2f0bcef01ca1d584b34f3b7853e7744547df3a82c80fd34d30e4"},"schema_version":"1.0"},"canonical_sha256":"447c2fcb9f70b7f88655bed6b764b984809d56536e037f40e52289c5d0922906","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:37.443964Z","signature_b64":"u2sxF9x0ZiURmhx5fOa6YoFYsrbtdIC0RnTkcby4HYIk8ckgM0yiXoTu2OgHMmiOAtZuS/KFvLpN8nnb/AF6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"447c2fcb9f70b7f88655bed6b764b984809d56536e037f40e52289c5d0922906","last_reissued_at":"2026-05-18T00:14:37.443348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:37.443348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.10797","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":"2026-05-18T00:14:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xbv4DLe84A56d0APncEJey8V0nRTMJ/Krkh97SHjWSqynO3szscA7iJuOsRqH8xb4obbxxZ3xhEtPL/ISGUADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:13:00.164080Z"},"content_sha256":"d08172e51198508bdc59214efa139cae74ed931fe80b0a68184a5e89893ef662","schema_version":"1.0","event_id":"sha256:d08172e51198508bdc59214efa139cae74ed931fe80b0a68184a5e89893ef662"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IR6C7S47OC37RBSVX3LLOZFZQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness of the nonlinear Schr\\\"odinger Equation driven by jump processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anne de Bouard, Erika Hausenblas, Martin Ondrejat","submitted_at":"2018-05-28T07:48:17Z","abstract_excerpt":"In a recent paper by the first two named authors, existence of martingale solutions to a stochastic nonlinear Schr\\\"odinger equation driven by a L\\'evy noise was proved. In this paper, we prove pathwise uniqueness, uniqueness in law and existence of strong solutions to this problem using an abstract uniqueness result of Kurtz."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10797","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":"2026-05-18T00:14:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jzoCp0qORhWJnBYcnfjzuXsVFe1+qJG1U5hYYUSK5xFSze8iYO2L9KD9+Oj2zerOTuqjrlu1AzGaeHCRyqE5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:13:00.164511Z"},"content_sha256":"94c92f89bc8e20f3a06c82107d7a2dc7fe76e4102e97536f81ff827710b2fb3b","schema_version":"1.0","event_id":"sha256:94c92f89bc8e20f3a06c82107d7a2dc7fe76e4102e97536f81ff827710b2fb3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IR6C7S47OC37RBSVX3LLOZFZQS/bundle.json","state_url":"https://pith.science/pith/IR6C7S47OC37RBSVX3LLOZFZQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IR6C7S47OC37RBSVX3LLOZFZQS/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":"2026-06-10T01:13:00Z","links":{"resolver":"https://pith.science/pith/IR6C7S47OC37RBSVX3LLOZFZQS","bundle":"https://pith.science/pith/IR6C7S47OC37RBSVX3LLOZFZQS/bundle.json","state":"https://pith.science/pith/IR6C7S47OC37RBSVX3LLOZFZQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IR6C7S47OC37RBSVX3LLOZFZQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IR6C7S47OC37RBSVX3LLOZFZQS","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":"6a3e3c479edb2f0bcef01ca1d584b34f3b7853e7744547df3a82c80fd34d30e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-28T07:48:17Z","title_canon_sha256":"81bfb4cdce0b16d71f592e5c5ef72e55892cee433d3729ddf102099cdc0e097c"},"schema_version":"1.0","source":{"id":"1805.10797","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10797","created_at":"2026-05-18T00:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10797v1","created_at":"2026-05-18T00:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10797","created_at":"2026-05-18T00:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"IR6C7S47OC37","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IR6C7S47OC37RBSV","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IR6C7S47","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:94c92f89bc8e20f3a06c82107d7a2dc7fe76e4102e97536f81ff827710b2fb3b","target":"graph","created_at":"2026-05-18T00:14:37Z","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 a recent paper by the first two named authors, existence of martingale solutions to a stochastic nonlinear Schr\\\"odinger equation driven by a L\\'evy noise was proved. In this paper, we prove pathwise uniqueness, uniqueness in law and existence of strong solutions to this problem using an abstract uniqueness result of Kurtz.","authors_text":"Anne de Bouard, Erika Hausenblas, Martin Ondrejat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-28T07:48:17Z","title":"Uniqueness of the nonlinear Schr\\\"odinger Equation driven by jump processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10797","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:d08172e51198508bdc59214efa139cae74ed931fe80b0a68184a5e89893ef662","target":"record","created_at":"2026-05-18T00:14:37Z","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":"6a3e3c479edb2f0bcef01ca1d584b34f3b7853e7744547df3a82c80fd34d30e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-28T07:48:17Z","title_canon_sha256":"81bfb4cdce0b16d71f592e5c5ef72e55892cee433d3729ddf102099cdc0e097c"},"schema_version":"1.0","source":{"id":"1805.10797","kind":"arxiv","version":1}},"canonical_sha256":"447c2fcb9f70b7f88655bed6b764b984809d56536e037f40e52289c5d0922906","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"447c2fcb9f70b7f88655bed6b764b984809d56536e037f40e52289c5d0922906","first_computed_at":"2026-05-18T00:14:37.443348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:37.443348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u2sxF9x0ZiURmhx5fOa6YoFYsrbtdIC0RnTkcby4HYIk8ckgM0yiXoTu2OgHMmiOAtZuS/KFvLpN8nnb/AF6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:37.443964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10797","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d08172e51198508bdc59214efa139cae74ed931fe80b0a68184a5e89893ef662","sha256:94c92f89bc8e20f3a06c82107d7a2dc7fe76e4102e97536f81ff827710b2fb3b"],"state_sha256":"2132e3b22eb4f5a3cec8fbf08a91cfec655b6b56cdcc759fc96750b689e5a9bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUGvlQpDQLCDZ1bSNCowAMsFpUusM1Len6lc94hM3oQBdteHJs9wVbnFMNgUNndi6kmKISFpFq0687CL89bxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:13:00.167739Z","bundle_sha256":"b6797568794f962b3d0069a94caf37896cf184504ea230f72e7320dbd3449c45"}}