{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IMNUGOYDKC4BHG4FIGZLYAUCDZ","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":"3de6ebfd10bffca32aa141bb632dc649d61608e32826a1ebc53f87b7ca3d3489","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-22T11:06:19Z","title_canon_sha256":"1ddc252f13650b74464e5af7f35870953a6f15af2d61b46352c7d927f303ecb1"},"schema_version":"1.0","source":{"id":"1305.5083","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5083","created_at":"2026-05-18T02:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5083v5","created_at":"2026-05-18T02:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5083","created_at":"2026-05-18T02:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"IMNUGOYDKC4B","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IMNUGOYDKC4BHG4F","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IMNUGOYD","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:6e4658fab004991c2887f51c06d619b7487e32760b476b7d5c8033bbc63fcc55","target":"graph","created_at":"2026-05-18T02:58:43Z","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 develop here the Stochastic Perron Method in the framework of two-player zero-sum differential games. We consider the formulation of the game where both players play, symmetrically, feed-back strategies (as in [CR09] or [PZ12]) as opposed to the Elliott-Kalton formulation prevalent in the literature. The class of feed-back strategies we use is carefully chosen so that the state equation admits strong solutions and the technicalities involved in the Stochastic Perron Method carry through in a rather simple way. More precisely, we define the game over elementary strategies, which are well mot","authors_text":"Mihai S\\^irbu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-22T11:06:19Z","title":"Stochastic Perron's method and elementary strategies for zero-sum differential games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5083","kind":"arxiv","version":5},"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":"sha256:520f2eb82208725bebd5219ec386ec152eb702561ac13346a8134b62a5c7d432","target":"record","created_at":"2026-05-18T02:58:43Z","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":"3de6ebfd10bffca32aa141bb632dc649d61608e32826a1ebc53f87b7ca3d3489","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-22T11:06:19Z","title_canon_sha256":"1ddc252f13650b74464e5af7f35870953a6f15af2d61b46352c7d927f303ecb1"},"schema_version":"1.0","source":{"id":"1305.5083","kind":"arxiv","version":5}},"canonical_sha256":"431b433b0350b8139b8541b2bc02821e5c5bfbb08b5f9c6c26734d41ee4f1219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"431b433b0350b8139b8541b2bc02821e5c5bfbb08b5f9c6c26734d41ee4f1219","first_computed_at":"2026-05-18T02:58:43.249636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:43.249636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aUpnvba2ZSw+bpnE1qlhxAgyjQu0zbJCqw68kdnKsGghBj+2e9UOq5FtJYqOO0g6/tZdyDSNdWrG+CrjuUpgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:43.250247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5083","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:520f2eb82208725bebd5219ec386ec152eb702561ac13346a8134b62a5c7d432","sha256:6e4658fab004991c2887f51c06d619b7487e32760b476b7d5c8033bbc63fcc55"],"state_sha256":"44954441713732e669c3f1f39178d66b0acd8626193fbbf2602d7279dc65bddb"}