{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:A2YIJ2HGH4CCB3GZ64YPACQOH6","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":"626bb859b76388b52febc6012608dc69fab6e36ac3fc5201391ce74b9bee9efe","cross_cats_sorted":["quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-05-02T19:39:52Z","title_canon_sha256":"2902800c1c82065dcaa3827e72dc17602a3a804d37e9b6f7e1d08edfa94640a1"},"schema_version":"1.0","source":{"id":"hep-th/0605025","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0605025","created_at":"2026-07-04T15:20:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0605025v4","created_at":"2026-07-04T15:20:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0605025","created_at":"2026-07-04T15:20:01Z"},{"alias_kind":"pith_short_12","alias_value":"A2YIJ2HGH4CC","created_at":"2026-07-04T15:20:01Z"},{"alias_kind":"pith_short_16","alias_value":"A2YIJ2HGH4CCB3GZ","created_at":"2026-07-04T15:20:01Z"},{"alias_kind":"pith_short_8","alias_value":"A2YIJ2HG","created_at":"2026-07-04T15:20:01Z"}],"graph_snapshots":[{"event_id":"sha256:da73964f7c68e774d5c6830b835e6663422acb07a91d920d5cfc34df9d087cbc","target":"graph","created_at":"2026-07-04T15:20:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0605025/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an approach to the canonical quantization of systems with equations of motion that are historically called non-Lagrangian equations. Our viewpoint of this problem is the following: despite the fact that a set of differential equations cannot be directly identified with a set of Euler-Lagrange equations, one can reformulate such a set in an equivalent first-order form which can always be treated as the Euler-Lagrange equations of a certain action. We construct such an action explicitly. It turns out that in the general case the hamiltonization and canonical quantization of such an ac","authors_text":"D.M. Gitman, V.G. Kupriyanov","cross_cats":["quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-05-02T19:39:52Z","title":"Canonical quantization of so-called non-Lagrangian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0605025","kind":"arxiv","version":4},"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":"sha256:8cc1ea1c9210016ce151f203d070a8f11580381a47807c9c4759224c3380d39f","target":"record","created_at":"2026-07-04T15:20:01Z","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":"626bb859b76388b52febc6012608dc69fab6e36ac3fc5201391ce74b9bee9efe","cross_cats_sorted":["quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-05-02T19:39:52Z","title_canon_sha256":"2902800c1c82065dcaa3827e72dc17602a3a804d37e9b6f7e1d08edfa94640a1"},"schema_version":"1.0","source":{"id":"hep-th/0605025","kind":"arxiv","version":4}},"canonical_sha256":"06b084e8e63f0420ecd9f730f00a0e3f98460970977ea8a639ab42b11c5d2f06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06b084e8e63f0420ecd9f730f00a0e3f98460970977ea8a639ab42b11c5d2f06","first_computed_at":"2026-07-04T15:20:01.762020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:01.762020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k1XIb5ZmEY35++fFHQpbnvkIf2hn0/hkPiDTQV2QaFpd5+53Z1QOeP+X3YEmmTT8zISrWcSZo5N2dTXbK00rDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:01.762431Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0605025","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cc1ea1c9210016ce151f203d070a8f11580381a47807c9c4759224c3380d39f","sha256:da73964f7c68e774d5c6830b835e6663422acb07a91d920d5cfc34df9d087cbc"],"state_sha256":"679ba5f81845af5a048371bec4573ea798179565672b7d2d12620a076a6a92bf"}