{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ATDNZZ2RUUKOCCFLR4EQSNZTSF","short_pith_number":"pith:ATDNZZ2R","canonical_record":{"source":{"id":"1803.11471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-29T09:21:11Z","cross_cats_sorted":[],"title_canon_sha256":"2a0d5964ad3e2d3b0c5f5075a3a47039ecf2baa19b2db685edc73571e5b4d237","abstract_canon_sha256":"4025c1f440919c671cdefdc1409f17ce28f9ab3202d3d132f9e01985cf283ccf"},"schema_version":"1.0"},"canonical_sha256":"04c6dce751a514e108ab8f09093733915fa7bbc13719b91acf347db705dfd44a","source":{"kind":"arxiv","id":"1803.11471","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11471","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11471v1","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11471","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"ATDNZZ2RUUKO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ATDNZZ2RUUKOCCFL","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ATDNZZ2R","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ATDNZZ2RUUKOCCFLR4EQSNZTSF","target":"record","payload":{"canonical_record":{"source":{"id":"1803.11471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-29T09:21:11Z","cross_cats_sorted":[],"title_canon_sha256":"2a0d5964ad3e2d3b0c5f5075a3a47039ecf2baa19b2db685edc73571e5b4d237","abstract_canon_sha256":"4025c1f440919c671cdefdc1409f17ce28f9ab3202d3d132f9e01985cf283ccf"},"schema_version":"1.0"},"canonical_sha256":"04c6dce751a514e108ab8f09093733915fa7bbc13719b91acf347db705dfd44a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:43.482639Z","signature_b64":"tYDYitcA9IOzQrr/DqrlINUyjAS+FO4KmLOfH2qF9OFgLE4Jpoo/eWy3y6wfP3DNdhOt+OuHPFV1KQYLLehrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04c6dce751a514e108ab8f09093733915fa7bbc13719b91acf347db705dfd44a","last_reissued_at":"2026-05-18T00:19:43.481885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:43.481885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.11471","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TctUb3jLtU/ekJRJGrJPdHNFnyAbvg+GHXuxPt/OgZdO64zyI6HKnP2gMomySg08AYCHLrnyZ1fPnTBL8BduAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:52:33.839552Z"},"content_sha256":"596561f00bc6a1bd479234e530ed2f2b4009c67b9662ea810b8c77c854d73c12","schema_version":"1.0","event_id":"sha256:596561f00bc6a1bd479234e530ed2f2b4009c67b9662ea810b8c77c854d73c12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ATDNZZ2RUUKOCCFLR4EQSNZTSF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Many-agent interaction in the model of labour force training","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Anna Ermakova, Dmitry Shlaev, Irina Zaitseva, Oleg Malafeyev, Sergei Strekopytov","submitted_at":"2018-03-29T09:21:11Z","abstract_excerpt":"The continuous and discrete models of labour force training are being built. The application of the results from the theory of differential games and dynamic programming allows presenting the optimal strategies of labour force training that can be calculated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11471","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eAxcae3Wj9nRXdz5Kybq/64qnKbquHMm6UXP+o07IfX5WUjx4A5z5eVFTsy4WulQJdIWGzgUJI5J+9K13ABMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:52:33.839896Z"},"content_sha256":"71e8d24de4ff1e5d8607e1cd8858e7741250d79b096f55a616ce1bb902aee901","schema_version":"1.0","event_id":"sha256:71e8d24de4ff1e5d8607e1cd8858e7741250d79b096f55a616ce1bb902aee901"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF/bundle.json","state_url":"https://pith.science/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T18:52:33Z","links":{"resolver":"https://pith.science/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF","bundle":"https://pith.science/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF/bundle.json","state":"https://pith.science/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATDNZZ2RUUKOCCFLR4EQSNZTSF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ATDNZZ2RUUKOCCFLR4EQSNZTSF","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":"4025c1f440919c671cdefdc1409f17ce28f9ab3202d3d132f9e01985cf283ccf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-29T09:21:11Z","title_canon_sha256":"2a0d5964ad3e2d3b0c5f5075a3a47039ecf2baa19b2db685edc73571e5b4d237"},"schema_version":"1.0","source":{"id":"1803.11471","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11471","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11471v1","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11471","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"ATDNZZ2RUUKO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ATDNZZ2RUUKOCCFL","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ATDNZZ2R","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:71e8d24de4ff1e5d8607e1cd8858e7741250d79b096f55a616ce1bb902aee901","target":"graph","created_at":"2026-05-18T00:19:43Z","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":"The continuous and discrete models of labour force training are being built. The application of the results from the theory of differential games and dynamic programming allows presenting the optimal strategies of labour force training that can be calculated.","authors_text":"Anna Ermakova, Dmitry Shlaev, Irina Zaitseva, Oleg Malafeyev, Sergei Strekopytov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-29T09:21:11Z","title":"Many-agent interaction in the model of labour force training"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11471","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":"sha256:596561f00bc6a1bd479234e530ed2f2b4009c67b9662ea810b8c77c854d73c12","target":"record","created_at":"2026-05-18T00:19:43Z","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":"4025c1f440919c671cdefdc1409f17ce28f9ab3202d3d132f9e01985cf283ccf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-29T09:21:11Z","title_canon_sha256":"2a0d5964ad3e2d3b0c5f5075a3a47039ecf2baa19b2db685edc73571e5b4d237"},"schema_version":"1.0","source":{"id":"1803.11471","kind":"arxiv","version":1}},"canonical_sha256":"04c6dce751a514e108ab8f09093733915fa7bbc13719b91acf347db705dfd44a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04c6dce751a514e108ab8f09093733915fa7bbc13719b91acf347db705dfd44a","first_computed_at":"2026-05-18T00:19:43.481885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:43.481885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tYDYitcA9IOzQrr/DqrlINUyjAS+FO4KmLOfH2qF9OFgLE4Jpoo/eWy3y6wfP3DNdhOt+OuHPFV1KQYLLehrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:43.482639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.11471","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:596561f00bc6a1bd479234e530ed2f2b4009c67b9662ea810b8c77c854d73c12","sha256:71e8d24de4ff1e5d8607e1cd8858e7741250d79b096f55a616ce1bb902aee901"],"state_sha256":"ad08e9158c039fdb5adbcac700a6cf38c724051a7ca6067cd741817f8893c268"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WGQFgiWM9jP2Dyp3Q4V/dmE6DEKC6aoILlWVPgg3LC+A1vdLl9lJzZ/OfyW/W9WGw4/XXwOiLcisX2vB7+NhDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T18:52:33.841830Z","bundle_sha256":"436bda0dcb7fed8a0711453f91a06ec570f87bb17d7c4af0dd876f2775791c14"}}