{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:VEUOLLK3GQOX7MF54L7QKIAKRU","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":"908f48cbf2541a15aa0db1cb694200c31517d8b37635eb9029687937945ce1a0","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1997-03-10T19:02:36Z","title_canon_sha256":"e1cf276ce77a352f477a75c54a946e88220bf510621dfde5957e51b5c32e46bf"},"schema_version":"1.0","source":{"id":"q-alg/9703019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9703019","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9703019v1","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9703019","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"VEUOLLK3GQOX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"VEUOLLK3GQOX7MF5","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"VEUOLLK3","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:1e6f7f4dd91c4100f5d48ec532ffe9c87c092c57f8b163dee63162a0a353bca4","target":"graph","created_at":"2026-05-18T01:05:07Z","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 start with an overview of the \"generalized Hamiltonian dynamics\" introduced in 1973 by Y. Nambu, its motivations, mathematical background and subsequent developments -- all of it on the classical level. This includes the notion (not present in Nambu's work) of a generalization of the Jacobi identity called Fundamental Identity. We then briefly describe the difficulties encountered in the quantization of such $n$-ary structures, explain their reason and present the recently obtained solution combining deformation quantization with a \"second quantization\" type of approach on ${\\Bbb R}^n$. The","authors_text":"Daniel Sternheimer, Giuseppe Dito, Moshe Flato","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1997-03-10T19:02:36Z","title":"Nambu mechanics, $n$-ary operations and their quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9703019","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":"sha256:759cd8e43419734fe528f17e18ffbfa42dcfbd9e83f3aeba36045d30a7430d26","target":"record","created_at":"2026-05-18T01:05:07Z","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":"908f48cbf2541a15aa0db1cb694200c31517d8b37635eb9029687937945ce1a0","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1997-03-10T19:02:36Z","title_canon_sha256":"e1cf276ce77a352f477a75c54a946e88220bf510621dfde5957e51b5c32e46bf"},"schema_version":"1.0","source":{"id":"q-alg/9703019","kind":"arxiv","version":1}},"canonical_sha256":"a928e5ad5b341d7fb0bde2ff05200a8d27dded358e7531980307f8a314336a41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a928e5ad5b341d7fb0bde2ff05200a8d27dded358e7531980307f8a314336a41","first_computed_at":"2026-05-18T01:05:07.331279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:07.331279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nJIS+IAibjuOh4DSQtciXJJV44nFtvsGDsm9eK63y7q4LGyiQqKcYCF4PSJibZSJKz05DsyGKtT8EXxG2NN5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:07.332085Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9703019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:759cd8e43419734fe528f17e18ffbfa42dcfbd9e83f3aeba36045d30a7430d26","sha256:1e6f7f4dd91c4100f5d48ec532ffe9c87c092c57f8b163dee63162a0a353bca4"],"state_sha256":"ae73a9ad84f6923e2eb2f029abdc88646f8d23f6ed66ffcd5835f7a8f6d6dcd7"}