{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IZY2RPFBTESK2SR3MWVMEMH3MD","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":"a0a797ed3836a34712c53c69900a478d2531a191798e7dcbda89b0e5a9e62edf","cross_cats_sorted":["math.FA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-11-19T20:43:10Z","title_canon_sha256":"53fbb93c14b0671051254a20bc3905c6e02b7cc1ebac75663da3c608d0b14e67"},"schema_version":"1.0","source":{"id":"1311.4871","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4871","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4871v3","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4871","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"IZY2RPFBTESK","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IZY2RPFBTESK2SR3","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IZY2RPFB","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:3aa6fca12024ad6a50568b7de311d11e0c7865691b6694b17e99836b49874eb1","target":"graph","created_at":"2026-05-18T00:09:31Z","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 consider the theory of stopping bounded processes within the framework of Hudson--Parthasarathy quantum stochastic calculus, for both identity and vacuum adaptedness. This provides significant new insight into Coquio's method of stopping (J. Funct. Anal. 238:149-180, 2006). Vacuum adaptedness is required to express certain quantum stochastic representations, and many results, including the proof of the optional-sampling theorem, take a more natural form.","authors_text":"Alexander C. R. Belton","cross_cats":["math.FA","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-11-19T20:43:10Z","title":"On stopping Fock-space processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4871","kind":"arxiv","version":3},"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":"sha256:0e34e23c0c6aa26885cfa19ea9286bc234a4829df230c70ff9968f3769353e04","target":"record","created_at":"2026-05-18T00:09:31Z","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":"a0a797ed3836a34712c53c69900a478d2531a191798e7dcbda89b0e5a9e62edf","cross_cats_sorted":["math.FA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-11-19T20:43:10Z","title_canon_sha256":"53fbb93c14b0671051254a20bc3905c6e02b7cc1ebac75663da3c608d0b14e67"},"schema_version":"1.0","source":{"id":"1311.4871","kind":"arxiv","version":3}},"canonical_sha256":"4671a8bca19924ad4a3b65aac230fb60ca2d0f250e12f9ff2f6acc423f017d19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4671a8bca19924ad4a3b65aac230fb60ca2d0f250e12f9ff2f6acc423f017d19","first_computed_at":"2026-05-18T00:09:31.708924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:31.708924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"whnO+WgwZxVHIHaAnuvg3SX+yagP3XFYuM6my3B6CBNHBHjdbOvyfiYsegK0qE/R4dahpcLvMFYDPT8en3LjAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:31.709535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4871","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e34e23c0c6aa26885cfa19ea9286bc234a4829df230c70ff9968f3769353e04","sha256:3aa6fca12024ad6a50568b7de311d11e0c7865691b6694b17e99836b49874eb1"],"state_sha256":"5e7985e8f457600cadae48dae9388efa06f71a8e0b2b6e873c002bacc53676cf"}