{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:2NDRVLTX3BYWJ7QWQCRTHQBGUO","short_pith_number":"pith:2NDRVLTX","canonical_record":{"source":{"id":"2212.09148","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2022-12-18T19:42:05Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e0e48b95073fe7d34e042de8ee42fff2e949096f044e34e0db67815e46c895e8","abstract_canon_sha256":"49bcad98770391fa0e114340775c6404c10a82f8f4d8fdbb779c010303f7c2a4"},"schema_version":"1.0"},"canonical_sha256":"d3471aae77d87164fe1680a333c026a3a99fdfa3a8e56898caae099422895fa3","source":{"kind":"arxiv","id":"2212.09148","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09148","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09148v1","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09148","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"2NDRVLTX3BYW","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2NDRVLTX3BYWJ7QW","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2NDRVLTX","created_at":"2026-07-05T05:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:2NDRVLTX3BYWJ7QWQCRTHQBGUO","target":"record","payload":{"canonical_record":{"source":{"id":"2212.09148","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2022-12-18T19:42:05Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e0e48b95073fe7d34e042de8ee42fff2e949096f044e34e0db67815e46c895e8","abstract_canon_sha256":"49bcad98770391fa0e114340775c6404c10a82f8f4d8fdbb779c010303f7c2a4"},"schema_version":"1.0"},"canonical_sha256":"d3471aae77d87164fe1680a333c026a3a99fdfa3a8e56898caae099422895fa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:26:18.601388Z","signature_b64":"jJGjKWSQ8UjTpBoZ1+gN+cAZsfgPrya7Q45tsJNkqSOIJJOXodVq3U5vOs4vAay39BTBOLwkg2+3e259wULgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3471aae77d87164fe1680a333c026a3a99fdfa3a8e56898caae099422895fa3","last_reissued_at":"2026-07-05T05:26:18.600975Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:26:18.600975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.09148","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:26:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w7xVfuQxOrnqw2emZDZxpTy51ckmXxq4dXLedTYHe3R8qySn3xp+Iuo5toClfQ1Swf3WqFIeEB5OG6QLAIs5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T06:11:02.395054Z"},"content_sha256":"c1e97b7e46613abbfbc825cb9a04627a421a5877d8309b2a5a41649950caa1be","schema_version":"1.0","event_id":"sha256:c1e97b7e46613abbfbc825cb9a04627a421a5877d8309b2a5a41649950caa1be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:2NDRVLTX3BYWJ7QWQCRTHQBGUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Full symmetric Toda system: QR-solution for complete DLNT-family","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Dmitry V. Talalaev, Georgy I. Sharygin, Yury B. Chernyakov","submitted_at":"2022-12-18T19:42:05Z","abstract_excerpt":"The paper is devoted to the algebraic and geometric aspects of the full symmetric Toda system. We construct a solution to the complete Deift-Li-Nanda-Tomei flows system using the QR decomposition method. For this purpose we introduce specialized invariant tensor operations on the Lax operator of the model. These operations have a direct interpretation in terms of the representation theory of Lie algebras. We expect that this approach can be effective in studying the geometry of flag varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09148","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.09148/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:26:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p+0a4LfXcYKryElex4ZuWZB66jcJipXABCRBF9r7+j9fyviOXi+wkAL8X7bcm484XfMiPwCQ3qiLZgA+bAuVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T06:11:02.395616Z"},"content_sha256":"0b771b4bc5a9b2a4ff5fe953dad029c43fe0b7e9975715e56f4c8925028dce8f","schema_version":"1.0","event_id":"sha256:0b771b4bc5a9b2a4ff5fe953dad029c43fe0b7e9975715e56f4c8925028dce8f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO/bundle.json","state_url":"https://pith.science/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T06:11:02Z","links":{"resolver":"https://pith.science/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO","bundle":"https://pith.science/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO/bundle.json","state":"https://pith.science/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2NDRVLTX3BYWJ7QWQCRTHQBGUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:2NDRVLTX3BYWJ7QWQCRTHQBGUO","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":"49bcad98770391fa0e114340775c6404c10a82f8f4d8fdbb779c010303f7c2a4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2022-12-18T19:42:05Z","title_canon_sha256":"e0e48b95073fe7d34e042de8ee42fff2e949096f044e34e0db67815e46c895e8"},"schema_version":"1.0","source":{"id":"2212.09148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09148","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09148v1","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09148","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"2NDRVLTX3BYW","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2NDRVLTX3BYWJ7QW","created_at":"2026-07-05T05:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2NDRVLTX","created_at":"2026-07-05T05:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:0b771b4bc5a9b2a4ff5fe953dad029c43fe0b7e9975715e56f4c8925028dce8f","target":"graph","created_at":"2026-07-05T05:26:18Z","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/2212.09148/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper is devoted to the algebraic and geometric aspects of the full symmetric Toda system. We construct a solution to the complete Deift-Li-Nanda-Tomei flows system using the QR decomposition method. For this purpose we introduce specialized invariant tensor operations on the Lax operator of the model. These operations have a direct interpretation in terms of the representation theory of Lie algebras. We expect that this approach can be effective in studying the geometry of flag varieties.","authors_text":"Dmitry V. Talalaev, Georgy I. Sharygin, Yury B. Chernyakov","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2022-12-18T19:42:05Z","title":"Full symmetric Toda system: QR-solution for complete DLNT-family"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09148","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:c1e97b7e46613abbfbc825cb9a04627a421a5877d8309b2a5a41649950caa1be","target":"record","created_at":"2026-07-05T05:26:18Z","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":"49bcad98770391fa0e114340775c6404c10a82f8f4d8fdbb779c010303f7c2a4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2022-12-18T19:42:05Z","title_canon_sha256":"e0e48b95073fe7d34e042de8ee42fff2e949096f044e34e0db67815e46c895e8"},"schema_version":"1.0","source":{"id":"2212.09148","kind":"arxiv","version":1}},"canonical_sha256":"d3471aae77d87164fe1680a333c026a3a99fdfa3a8e56898caae099422895fa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3471aae77d87164fe1680a333c026a3a99fdfa3a8e56898caae099422895fa3","first_computed_at":"2026-07-05T05:26:18.600975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:26:18.600975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jJGjKWSQ8UjTpBoZ1+gN+cAZsfgPrya7Q45tsJNkqSOIJJOXodVq3U5vOs4vAay39BTBOLwkg2+3e259wULgBA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:26:18.601388Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.09148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1e97b7e46613abbfbc825cb9a04627a421a5877d8309b2a5a41649950caa1be","sha256:0b771b4bc5a9b2a4ff5fe953dad029c43fe0b7e9975715e56f4c8925028dce8f"],"state_sha256":"c32eff2bde510afe3ed774285b84b931a3620249639f8c6cd39fe1f7df8e1dd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"me+S0BYSmUkJequJ8p50fbM18EW5MD8Uo0+KIaiWvyNJO8wPJkd42PBeDf4ij63KsdfJaK7TS+6VT1+bnMeDAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T06:11:02.400570Z","bundle_sha256":"702eaa925f16ef781634d2eba6ac16aa40275e67806e7afc5703d7ddca879261"}}