{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:NED6UJX5LHN3DINQFD234MDTMW","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":"a56393b85e9308ef0a71e593cc70e92cf5234342f0091f60ff6780ae88a023a7","cross_cats_sorted":["nlin.SI","solv-int"],"license":"","primary_cat":"hep-th","submitted_at":"1993-12-31T14:43:00Z","title_canon_sha256":"da1f1337d5e75cfcc703a8a3ac4110205522d274f9626b1d6c2c1a3c1379b44e"},"schema_version":"1.0","source":{"id":"hep-th/9312213","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9312213","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9312213v2","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9312213","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"pith_short_12","alias_value":"NED6UJX5LHN3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"NED6UJX5LHN3DINQ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"NED6UJX5","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:754002602d09f6d44c10d9dabe3b0f7c7e254b9a491a27d798e8880f05da8d87","target":"graph","created_at":"2026-05-18T04:23:54Z","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 first review the properties of the conventional $\\tau$-functions of the KP and Toda-lattice hierarchies. A straightforward generalization is then discussed. It corresponds to passing from differential to finite-difference equations; it does not involve however the concept of operator-valued $\\tau$-function nor the one associated with non-Cartanian (level $k\\ne1$) algebras. The present study could be useful to understand better $q$-free fields and their relation to ordinary free fields.","authors_text":"A. Mironov, A. Morozov, L. Vinet","cross_cats":["nlin.SI","solv-int"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-12-31T14:43:00Z","title":"On a c-number quantum $\\tau$-function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9312213","kind":"arxiv","version":2},"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:f815a25721e247d12fe1f44ae2aa028544655c4b779f34996aad50f094f6225e","target":"record","created_at":"2026-05-18T04:23:54Z","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":"a56393b85e9308ef0a71e593cc70e92cf5234342f0091f60ff6780ae88a023a7","cross_cats_sorted":["nlin.SI","solv-int"],"license":"","primary_cat":"hep-th","submitted_at":"1993-12-31T14:43:00Z","title_canon_sha256":"da1f1337d5e75cfcc703a8a3ac4110205522d274f9626b1d6c2c1a3c1379b44e"},"schema_version":"1.0","source":{"id":"hep-th/9312213","kind":"arxiv","version":2}},"canonical_sha256":"6907ea26fd59dbb1a1b028f5be307365ba3e33c2aebe714b8f2847c9e61dfedf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6907ea26fd59dbb1a1b028f5be307365ba3e33c2aebe714b8f2847c9e61dfedf","first_computed_at":"2026-05-18T04:23:54.860660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:54.860660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ehjZdQMn2veE1MYz5iS8Y4EjR9MkKz4duyO8+zCS8BJEGGLmOMwFO+h0qckWON4XicHqHlxbMPpjE7v0I0DfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:54.861087Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9312213","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f815a25721e247d12fe1f44ae2aa028544655c4b779f34996aad50f094f6225e","sha256:754002602d09f6d44c10d9dabe3b0f7c7e254b9a491a27d798e8880f05da8d87"],"state_sha256":"d5ec74126fe3b38f4042f21187ee299cf0e301a7b8df86133bd23e403fa8f5f0"}