{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CIB5QMO6T5JEMXZDECCOI4VTNC","short_pith_number":"pith:CIB5QMO6","schema_version":"1.0","canonical_sha256":"1203d831de9f52465f232084e472b368bde995598b94dc8a8ca7ad11cf04cf52","source":{"kind":"arxiv","id":"1503.00161","version":1},"attestation_state":"computed","paper":{"title":"On Hamiltonian as limiting gradient in 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":"2015-02-28T17:50:47Z","abstract_excerpt":"Necessary conditions of optimality in the form of the Pontryagin Maximum Principle are derived for the Bolza-type discounted problem with free right end. The optimality is understood in the sense of the uniformly overtaking optimality. Such process is assumed to exist, and the corresponding payoff of the optimal process (expressed in the form of improper integral) is assumed to converge in the Riemann sense. No other assumptions on the asymptotic behaviour of trajectories or adjoint variables are required. In this paper, we prove that there exists a corresponding limiting solution of the Pontr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.00161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-02-28T17:50:47Z","cross_cats_sorted":[],"title_canon_sha256":"04bac05a221e99ecff38175f77b97ad8058da329a191c403168dda4567e27b7d","abstract_canon_sha256":"91d0285566c147de5e1ef3edf3ce53b9bc5726396390fada5d1b052e72818367"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:55.024990Z","signature_b64":"0J6qY/iKk/aw2L3h/Aa/z1+pdWiwV1kOtB9eC+xHkm8KoCUc8ytt8sBDeVL13MDkfNBEr+nwuZlGXx0NTMszCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1203d831de9f52465f232084e472b368bde995598b94dc8a8ca7ad11cf04cf52","last_reissued_at":"2026-05-18T02:25:55.024574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:55.024574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Hamiltonian as limiting gradient in 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":"2015-02-28T17:50:47Z","abstract_excerpt":"Necessary conditions of optimality in the form of the Pontryagin Maximum Principle are derived for the Bolza-type discounted problem with free right end. The optimality is understood in the sense of the uniformly overtaking optimality. Such process is assumed to exist, and the corresponding payoff of the optimal process (expressed in the form of improper integral) is assumed to converge in the Riemann sense. No other assumptions on the asymptotic behaviour of trajectories or adjoint variables are required. In this paper, we prove that there exists a corresponding limiting solution of the Pontr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00161","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1503.00161","created_at":"2026-05-18T02:25:55.024642+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.00161v1","created_at":"2026-05-18T02:25:55.024642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00161","created_at":"2026-05-18T02:25:55.024642+00:00"},{"alias_kind":"pith_short_12","alias_value":"CIB5QMO6T5JE","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"CIB5QMO6T5JEMXZD","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"CIB5QMO6","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC","json":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC.json","graph_json":"https://pith.science/api/pith-number/CIB5QMO6T5JEMXZDECCOI4VTNC/graph.json","events_json":"https://pith.science/api/pith-number/CIB5QMO6T5JEMXZDECCOI4VTNC/events.json","paper":"https://pith.science/paper/CIB5QMO6"},"agent_actions":{"view_html":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC","download_json":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC.json","view_paper":"https://pith.science/paper/CIB5QMO6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.00161&json=true","fetch_graph":"https://pith.science/api/pith-number/CIB5QMO6T5JEMXZDECCOI4VTNC/graph.json","fetch_events":"https://pith.science/api/pith-number/CIB5QMO6T5JEMXZDECCOI4VTNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC/action/storage_attestation","attest_author":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC/action/author_attestation","sign_citation":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC/action/citation_signature","submit_replication":"https://pith.science/pith/CIB5QMO6T5JEMXZDECCOI4VTNC/action/replication_record"}},"created_at":"2026-05-18T02:25:55.024642+00:00","updated_at":"2026-05-18T02:25:55.024642+00:00"}