{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SO3P4H2X7TAZNH5DYNGP6MNQNY","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":"0b0dcf788e15f801e700546b46d880d21a4a8e92ceab50da8bcab5d87c7c67f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-07T20:16:42Z","title_canon_sha256":"ee2731a80749b8b636365a57dfb53b020145f7685038f46ff6aa77b191d43798"},"schema_version":"1.0","source":{"id":"1204.1676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1676","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1676v1","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1676","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"SO3P4H2X7TAZ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SO3P4H2X7TAZNH5D","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SO3P4H2X","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:f43920620e97175ab34331f8ae8db9e61cb7b65569eac72fe23fd22e0197fffd","target":"graph","created_at":"2026-05-18T03:58:23Z","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 the setting of the classical Cramer-Lundberg risk insurance model, Albrecher and Hipp (2007) introduced the idea of tax payments. More precisely, if $X = \\{X_t : t\\geq 0\\}$ represents the Cramer-Lundberg process and, for all $t\\geq 0$, $S_t = \\sup_{s\\leq t}X_s$, then Albrecher and Hipp (2007) study $X_t - \\gamma S_t$, $t\\geq 0$, where $\\gamma\\in(0,1)$ is the rate at which tax is paid. This model has been generalised to the setting that $X$ is a spectrally negative L\\'evy process by Albrecher et al. \\cite{albr_ren_zhou}. Finally Kyprianou and Zhou (2009) extend this model further by allowing","authors_text":"Andreas E. Kyprianou, Curdin Ott","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-07T20:16:42Z","title":"Spectrally negative Levy processes perturbed by functionals of their running supremum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1676","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":"sha256:2fe4d373b8091b366ef5a2986b2d2b4f7d9f81d365e48ceb5485451272db05ce","target":"record","created_at":"2026-05-18T03:58:23Z","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":"0b0dcf788e15f801e700546b46d880d21a4a8e92ceab50da8bcab5d87c7c67f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-07T20:16:42Z","title_canon_sha256":"ee2731a80749b8b636365a57dfb53b020145f7685038f46ff6aa77b191d43798"},"schema_version":"1.0","source":{"id":"1204.1676","kind":"arxiv","version":1}},"canonical_sha256":"93b6fe1f57fcc1969fa3c34cff31b06e101c9fd264704f82ede028ed0181c3e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93b6fe1f57fcc1969fa3c34cff31b06e101c9fd264704f82ede028ed0181c3e7","first_computed_at":"2026-05-18T03:58:23.459911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:23.459911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"usdgyatJvuvKOxVQOdENJTDndJazb7covevs2pPll6GrL6mdEycFQ+bIY/2cCbqQ0dN0xWnWnaH4uAXslTy3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:23.460444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fe4d373b8091b366ef5a2986b2d2b4f7d9f81d365e48ceb5485451272db05ce","sha256:f43920620e97175ab34331f8ae8db9e61cb7b65569eac72fe23fd22e0197fffd"],"state_sha256":"b0f9ae4921a3a722b35a5a10ab09fb3bfb23aa292bcb3b0f80b325a8ca26be87"}