{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NFDWY4LFLDEKVGSNECAFWOY3P6","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":"1fd1a4c55bb3f855fbc7e500aa21bb1a2b81d1ac83fd8dc41b5379b08c8b6a89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-10T14:25:58Z","title_canon_sha256":"a93a826d9cf6136ec6eb49e66ab6d4310b090dc36e2b1e14a5b8617994ad4c7e"},"schema_version":"1.0","source":{"id":"1812.03819","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03819","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03819v1","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03819","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"NFDWY4LFLDEK","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NFDWY4LFLDEKVGSN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NFDWY4LF","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:ce071821488b7fbb94794019173206f6d738ebd4ab85a7d9918c3f5c7e14f432","target":"graph","created_at":"2026-05-17T23:58:43Z","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":"In this paper we consider generalized Leontief model. We show that under certain condition the generalized Leontief model is solvable by iterative descent method based on infeasible interior point algorithm. We prove the convergence of the method from strictly positive starting point. A numerical example is presented to demonstrate the performance of the algorithm","authors_text":"A. K. Das, R. Jana, Vishnu Narayan Mishra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-10T14:25:58Z","title":"Iterative Descent Method for Generalized Leontief Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03819","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":"sha256:076bef0eb4f7758265df91164eca778dd65ee2e92ce6f79b777fa3da1ce7f47a","target":"record","created_at":"2026-05-17T23:58:43Z","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":"1fd1a4c55bb3f855fbc7e500aa21bb1a2b81d1ac83fd8dc41b5379b08c8b6a89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-10T14:25:58Z","title_canon_sha256":"a93a826d9cf6136ec6eb49e66ab6d4310b090dc36e2b1e14a5b8617994ad4c7e"},"schema_version":"1.0","source":{"id":"1812.03819","kind":"arxiv","version":1}},"canonical_sha256":"69476c716558c8aa9a4d20805b3b1b7fa35ad9aa1bb16ea8b688a7f745d10194","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69476c716558c8aa9a4d20805b3b1b7fa35ad9aa1bb16ea8b688a7f745d10194","first_computed_at":"2026-05-17T23:58:43.778203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:43.778203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7sAtmcq431VWZM8YktrKziMyy/hE67jDFKv4mgoHrnlSavMcY6yf+vIojlOTZzrDhy1dx9tQ/1ZakSRo/SNOBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:43.778657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03819","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:076bef0eb4f7758265df91164eca778dd65ee2e92ce6f79b777fa3da1ce7f47a","sha256:ce071821488b7fbb94794019173206f6d738ebd4ab85a7d9918c3f5c7e14f432"],"state_sha256":"83dd9e50110ab754be19b7c5c6446e64816007833a62fa633cee3da982bec2cb"}