{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VMQZI7DF3GUZYP4MAPCUCDUAWT","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":"2bde9cb018173284f4aaff3172b7895befbe01d117ca0f0fd65f022a05d84ff6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-28T13:11:32Z","title_canon_sha256":"608ad4ca56b4aa1dd5525d28d926d88e3dc2161a6e688080d1b5bf4ebfa460b3"},"schema_version":"1.0","source":{"id":"1708.08302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08302","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08302v1","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08302","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"VMQZI7DF3GUZ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VMQZI7DF3GUZYP4M","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VMQZI7DF","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:ac1984ef4650fd09aa977dca0a5ef832a5b5f2790aec1616dd1dda3d00d8cacb","target":"graph","created_at":"2026-05-18T00:36:36Z","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":"Based on a characterization of the optimality of a feasible solution of a convex entropy minimization problem, one shows that the feasible solutions obtained using formally the Lagrange multipliers method are optimal.","authors_text":"Constantin Zalinescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-28T13:11:32Z","title":"On Lagrange multipliers in convex entropy minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08302","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:ada4d8123a472d7c9093ccfcb688bdc719cbe5e044fa6184d95aadcbc36a5d71","target":"record","created_at":"2026-05-18T00:36:36Z","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":"2bde9cb018173284f4aaff3172b7895befbe01d117ca0f0fd65f022a05d84ff6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-28T13:11:32Z","title_canon_sha256":"608ad4ca56b4aa1dd5525d28d926d88e3dc2161a6e688080d1b5bf4ebfa460b3"},"schema_version":"1.0","source":{"id":"1708.08302","kind":"arxiv","version":1}},"canonical_sha256":"ab21947c65d9a99c3f8c03c5410e80b4d8909fbc26d96f8165ae2c06fc8253e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab21947c65d9a99c3f8c03c5410e80b4d8909fbc26d96f8165ae2c06fc8253e9","first_computed_at":"2026-05-18T00:36:36.417716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:36.417716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YV28lFTJ0E1oUMAdznsn10ExPq7OLJvw8CYEMe3xOeA1hblv/5+8ckd4UEx01/qRHcpUCVgEvGfmp9SGO7NrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:36.418461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ada4d8123a472d7c9093ccfcb688bdc719cbe5e044fa6184d95aadcbc36a5d71","sha256:ac1984ef4650fd09aa977dca0a5ef832a5b5f2790aec1616dd1dda3d00d8cacb"],"state_sha256":"82e18a067b40882213deaf62be4c38011f89b6c6eaf93c253e6c5ff3f5ff8cf7"}