{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6ZZXHEF5YXFTBPH5YAQAYFDXPR","short_pith_number":"pith:6ZZXHEF5","canonical_record":{"source":{"id":"1407.0498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-07-02T09:37:41Z","cross_cats_sorted":[],"title_canon_sha256":"6b308fd20b487701f08ca5f1117051f074cb7c80c27d698e16057e52d0dc5f77","abstract_canon_sha256":"aa0541b470a84b6dbc89df647c6472e2f26e15b5a9a72c15533622f181d6bf71"},"schema_version":"1.0"},"canonical_sha256":"f6737390bdc5cb30bcfdc0200c14777c62668819abb17b86b303217f5976e1f4","source":{"kind":"arxiv","id":"1407.0498","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0498","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0498v1","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0498","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"pith_short_12","alias_value":"6ZZXHEF5YXFT","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ZZXHEF5YXFTBPH5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ZZXHEF5","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6ZZXHEF5YXFTBPH5YAQAYFDXPR","target":"record","payload":{"canonical_record":{"source":{"id":"1407.0498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-07-02T09:37:41Z","cross_cats_sorted":[],"title_canon_sha256":"6b308fd20b487701f08ca5f1117051f074cb7c80c27d698e16057e52d0dc5f77","abstract_canon_sha256":"aa0541b470a84b6dbc89df647c6472e2f26e15b5a9a72c15533622f181d6bf71"},"schema_version":"1.0"},"canonical_sha256":"f6737390bdc5cb30bcfdc0200c14777c62668819abb17b86b303217f5976e1f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:40.190708Z","signature_b64":"3xC7BwClMrxZYyKkMbTg30kWMyIBu5tZbveBoKu9ExI91A6l8JO75capB/pQEdF9PD4JHOTJiku3BsnsdkNvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6737390bdc5cb30bcfdc0200c14777c62668819abb17b86b303217f5976e1f4","last_reissued_at":"2026-05-18T02:30:40.190184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:40.190184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.0498","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":"2026-05-18T02:30:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XoYAY80egqigNDz3OsipL8ly+jTNs5xeXZQ5pHDzBegq2OJBbpUOHvFeW2hkUhFIDoTsTJ2ekQvIP3cnXNDJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:04:39.490486Z"},"content_sha256":"a7af97f1896c56fcf1cd901ae2b6434728c48e7990e692ee948e296d96d17e57","schema_version":"1.0","event_id":"sha256:a7af97f1896c56fcf1cd901ae2b6434728c48e7990e692ee948e296d96d17e57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6ZZXHEF5YXFTBPH5YAQAYFDXPR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Necessity of limiting co-state arc in Bolza-type infinite horizon problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Dmitry Khlopin","submitted_at":"2014-07-02T09:37:41Z","abstract_excerpt":"We investigate necessary conditions of optimality for the Bolza-type infinite horizon problem with free right end. The optimality is understood in the sense of weakly uniformly overtaking optimal control. No previous knowledge in the asymptotic behaviour of trajectories or adjoint variables is necessary. Following Seierstad's idea, we obtain the necessary boundary condition at infinity in the form of a transversality condition for the maximum principle. Those transversality conditions may be expressed in the integral form through an Aseev--Kryazhimskii-type formulae for co-state arcs. The conn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0498","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":"2026-05-18T02:30:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0EGEL7w8UCDeurmb9N3HZIr32oDXjvqj4Q76+TJ/QTkjaxPfRJ6MFoN14X1QA4L1b70c12uvKshT5lVpE2lkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:04:39.490826Z"},"content_sha256":"37cf80d6b1ffa582ca5272e34aefff35b93778a6e6be3824391dc089619fd754","schema_version":"1.0","event_id":"sha256:37cf80d6b1ffa582ca5272e34aefff35b93778a6e6be3824391dc089619fd754"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR/bundle.json","state_url":"https://pith.science/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR/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":"2026-06-27T02:04:39Z","links":{"resolver":"https://pith.science/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR","bundle":"https://pith.science/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR/bundle.json","state":"https://pith.science/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZZXHEF5YXFTBPH5YAQAYFDXPR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6ZZXHEF5YXFTBPH5YAQAYFDXPR","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":"aa0541b470a84b6dbc89df647c6472e2f26e15b5a9a72c15533622f181d6bf71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-07-02T09:37:41Z","title_canon_sha256":"6b308fd20b487701f08ca5f1117051f074cb7c80c27d698e16057e52d0dc5f77"},"schema_version":"1.0","source":{"id":"1407.0498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0498","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0498v1","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0498","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"pith_short_12","alias_value":"6ZZXHEF5YXFT","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ZZXHEF5YXFTBPH5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ZZXHEF5","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:37cf80d6b1ffa582ca5272e34aefff35b93778a6e6be3824391dc089619fd754","target":"graph","created_at":"2026-05-18T02:30:40Z","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 investigate necessary conditions of optimality for the Bolza-type infinite horizon problem with free right end. The optimality is understood in the sense of weakly uniformly overtaking optimal control. No previous knowledge in the asymptotic behaviour of trajectories or adjoint variables is necessary. Following Seierstad's idea, we obtain the necessary boundary condition at infinity in the form of a transversality condition for the maximum principle. Those transversality conditions may be expressed in the integral form through an Aseev--Kryazhimskii-type formulae for co-state arcs. The conn","authors_text":"Dmitry Khlopin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-07-02T09:37:41Z","title":"Necessity of limiting co-state arc in Bolza-type infinite horizon problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0498","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:a7af97f1896c56fcf1cd901ae2b6434728c48e7990e692ee948e296d96d17e57","target":"record","created_at":"2026-05-18T02:30:40Z","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":"aa0541b470a84b6dbc89df647c6472e2f26e15b5a9a72c15533622f181d6bf71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-07-02T09:37:41Z","title_canon_sha256":"6b308fd20b487701f08ca5f1117051f074cb7c80c27d698e16057e52d0dc5f77"},"schema_version":"1.0","source":{"id":"1407.0498","kind":"arxiv","version":1}},"canonical_sha256":"f6737390bdc5cb30bcfdc0200c14777c62668819abb17b86b303217f5976e1f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6737390bdc5cb30bcfdc0200c14777c62668819abb17b86b303217f5976e1f4","first_computed_at":"2026-05-18T02:30:40.190184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:40.190184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3xC7BwClMrxZYyKkMbTg30kWMyIBu5tZbveBoKu9ExI91A6l8JO75capB/pQEdF9PD4JHOTJiku3BsnsdkNvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:40.190708Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7af97f1896c56fcf1cd901ae2b6434728c48e7990e692ee948e296d96d17e57","sha256:37cf80d6b1ffa582ca5272e34aefff35b93778a6e6be3824391dc089619fd754"],"state_sha256":"e9b4bdd651687c5c0f9334a92123392d3d31389b30989d91a4185794389ac5b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5yNRxqJlPjvo/wiLQWBLI5qHjIryiqzAqOPeWHQdF3F/5g+EtZ3fdyBz0aEXbe2B/xq5lkoB/Z3gn9SXLNulBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:04:39.492724Z","bundle_sha256":"d4dca8dbdb7af805bade2135ef4534be2b1a7203057c90b2696c66989691685d"}}