{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GDMRT5JLL6K2X3A24WTYFUBVK6","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":"38c0fe83eb309d2ba7d924ad951820d887142777c095c35200d6cb5cc77f3148","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-04-14T08:04:59Z","title_canon_sha256":"35b42e57882f6361e08f92994718dac95e1448138d8a9b39e2c897e89a009d36"},"schema_version":"1.0","source":{"id":"1104.2689","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2689","created_at":"2026-05-18T03:40:16Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2689v2","created_at":"2026-05-18T03:40:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2689","created_at":"2026-05-18T03:40:16Z"},{"alias_kind":"pith_short_12","alias_value":"GDMRT5JLL6K2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GDMRT5JLL6K2X3A2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GDMRT5JL","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:23612d284dfe1402d61ceb0fc376f4ec88e2f625b4de63e87ae8d6911483f0dd","target":"graph","created_at":"2026-05-18T03:40:16Z","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":"This paper deals with existence and uniqueness, in viscosity sense, of a solution for a system of m variational partial differential inequalities with inter-connected obstacles. A particular case of this system is the deterministic version of the Verification Theorem of the Markovian optimal m-states switching problem. The switching cost functions are arbitrary. This problem is connected with the valuation of a power plant in the energy market. The main tool is the notion of systems of reflected BSDEs with oblique reflection.","authors_text":"Marie-Am\\'elie Morlais, Said Hamad\\`ene","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-04-14T08:04:59Z","title":"Viscosity solutions of systems of PDEs with interconnected obstacles and Multi modes switching problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2689","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":"sha256:379d1f343534d3f758733546e96d0551aaebdc7b31aee4e0eb77d056c2c94454","target":"record","created_at":"2026-05-18T03:40:16Z","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":"38c0fe83eb309d2ba7d924ad951820d887142777c095c35200d6cb5cc77f3148","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-04-14T08:04:59Z","title_canon_sha256":"35b42e57882f6361e08f92994718dac95e1448138d8a9b39e2c897e89a009d36"},"schema_version":"1.0","source":{"id":"1104.2689","kind":"arxiv","version":2}},"canonical_sha256":"30d919f52b5f95abec1ae5a782d035578a1a1482a9bb638f81c53650422eca6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30d919f52b5f95abec1ae5a782d035578a1a1482a9bb638f81c53650422eca6e","first_computed_at":"2026-05-18T03:40:16.460706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:16.460706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qM1T26pBsqZngAesPgctEfSl3IZFDE8mPKyVGXzYrOhoEmntmzAhLlYS8/KgxwQYGR3G/dkzFEXqj+O1kXrZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:16.461252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2689","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:379d1f343534d3f758733546e96d0551aaebdc7b31aee4e0eb77d056c2c94454","sha256:23612d284dfe1402d61ceb0fc376f4ec88e2f625b4de63e87ae8d6911483f0dd"],"state_sha256":"8a9c42749ce6d45a117bb459558c968400b92e198c8f6de31863c2d0fe69282f"}