{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:PPPUVI7ODONZTPSQ45WMLWS44Y","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":"f57dc673439514700cd488509534a720dd4338efcced90e348d01cdf458e0fc0","cross_cats_sorted":["hep-th","nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1996-08-30T03:26:42Z","title_canon_sha256":"6a6846edc2c93171e7c1fa962c987969784e1413285964cb5d4ff37dd69436ee"},"schema_version":"1.0","source":{"id":"solv-int/9609001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9609001","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9609001v1","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9609001","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"PPPUVI7ODONZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"PPPUVI7ODONZTPSQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"PPPUVI7O","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:1a525d112fb4fe065629f895e5b6e2c8c00d95211507152e8aeed303ddab4a2e","target":"graph","created_at":"2026-05-18T01:05:00Z","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 consider the iso-spectral real manifolds of tridiagonal Hessenberg matrices with real eigenvalues. The manifolds are described by the iso-spectral flows of indefinite Toda lattice equations introduced by the authors [Physica, 91D (1996), 321-339]. These Toda lattices consist of $2^{N-1}$ different systems with hamiltonians $H = (1/2) \\sum_{k=1}^{N} y_k^2 + \\sum_{k=1}^{N-1} s_ks_{k+1} \\exp(x_k-x_{k+1})$, where $s_i=\\pm 1$. We compactify the manifolds by adding infinities according to the Toda flows which blow up in finite time except the case with all $s_is_{i+1}=1$. The resulting manifolds ","authors_text":"Jian Ye, Yuji Kodama","cross_cats":["hep-th","nlin.SI"],"headline":"","license":"","primary_cat":"solv-int","submitted_at":"1996-08-30T03:26:42Z","title":"Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9609001","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":"sha256:5ab2cb812d5c177bc9e0722508ded76a2c2793f95a0964f11170ba752a82b207","target":"record","created_at":"2026-05-18T01:05:00Z","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":"f57dc673439514700cd488509534a720dd4338efcced90e348d01cdf458e0fc0","cross_cats_sorted":["hep-th","nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1996-08-30T03:26:42Z","title_canon_sha256":"6a6846edc2c93171e7c1fa962c987969784e1413285964cb5d4ff37dd69436ee"},"schema_version":"1.0","source":{"id":"solv-int/9609001","kind":"arxiv","version":1}},"canonical_sha256":"7bdf4aa3ee1b9b99be50e76cc5da5ce630aa4792e1a854980acc65133a26710e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bdf4aa3ee1b9b99be50e76cc5da5ce630aa4792e1a854980acc65133a26710e","first_computed_at":"2026-05-18T01:05:00.057485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:00.057485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dHccVTlme5ohNNEj4rnxJsu5GZcOa0NO54mKH0a0KEMWQ5vkczs1E1ukk4ZPkOM1POM5AgtRoJ6+rDtcHIk3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:00.057965Z","signed_message":"canonical_sha256_bytes"},"source_id":"solv-int/9609001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ab2cb812d5c177bc9e0722508ded76a2c2793f95a0964f11170ba752a82b207","sha256:1a525d112fb4fe065629f895e5b6e2c8c00d95211507152e8aeed303ddab4a2e"],"state_sha256":"8969c42f3ee6cf9c98910d3efc2cf37a1972fb9c9035900ef1c64a586a67c827"}