{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:H6RZ7VRSKBV5CSEPBK4PV2HGRD","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":"2e3d32aaa03568e94e9a6d78274a66fba8ef1ed39ae50dfce1a8dfc779f180cf","cross_cats_sorted":["q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-12T18:11:59Z","title_canon_sha256":"dea5dfc7d9e59c562de8da1fdae2f5741d38a1f7e85439124da29f4eaf82c63b"},"schema_version":"1.0","source":{"id":"1503.04772","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04772","created_at":"2026-05-18T02:23:24Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04772v1","created_at":"2026-05-18T02:23:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04772","created_at":"2026-05-18T02:23:24Z"},{"alias_kind":"pith_short_12","alias_value":"H6RZ7VRSKBV5","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H6RZ7VRSKBV5CSEP","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H6RZ7VRS","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:e2596032e3d38cc14ef14dcef51655d526610524b27ca391e5bf2b618488edbc","target":"graph","created_at":"2026-05-18T02:23:24Z","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 this paper, we establish a dynamic game to allocate CSR (Corporate Social Responsibility) to the members of a supply chain. We propose a model of three-tier supply chain in decentralized state that is including supplier, manufacturer and retailer. For analyzing supply chain performance in decentralized state and the relationships between the members of supply chain, we use Stackelberg game and we consider in this paper a hierarchical equilibrium solution for a two-level game. Specially, we formulate a model that crosses through multi-periods by a dynamic discreet Stackelberg game. We try to","authors_text":"Bruno Pansera, Massimiliano Ferrara, Mehdi Salimi, Mehrnoosh Khademi","cross_cats":["q-fin.EC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-12T18:11:59Z","title":"A dynamic game on Green Supply Chain Management"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04772","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":"sha256:4876c3cfa7ca9e9f4e5bb72712779f5857611349f92a2fc69ed3ccee87cbfddd","target":"record","created_at":"2026-05-18T02:23:24Z","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":"2e3d32aaa03568e94e9a6d78274a66fba8ef1ed39ae50dfce1a8dfc779f180cf","cross_cats_sorted":["q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-12T18:11:59Z","title_canon_sha256":"dea5dfc7d9e59c562de8da1fdae2f5741d38a1f7e85439124da29f4eaf82c63b"},"schema_version":"1.0","source":{"id":"1503.04772","kind":"arxiv","version":1}},"canonical_sha256":"3fa39fd632506bd1488f0ab8fae8e688ddb8cebddf6cedbbabb5368a8030bc7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fa39fd632506bd1488f0ab8fae8e688ddb8cebddf6cedbbabb5368a8030bc7b","first_computed_at":"2026-05-18T02:23:24.077228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:24.077228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+BLvXH2lKfqVU6xTDIuz4J51TYTERDWGyl3uzCF+Vq3h+6jkHlBmaa+8wvC+mj97V4IJgJFBjUdKff8eR70IAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:24.077868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.04772","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4876c3cfa7ca9e9f4e5bb72712779f5857611349f92a2fc69ed3ccee87cbfddd","sha256:e2596032e3d38cc14ef14dcef51655d526610524b27ca391e5bf2b618488edbc"],"state_sha256":"ae5773b6708ed739e8f6c28a67718b483ea99f3df2617778730e61ecb1e5a7b0"}