{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TQWVWYCUTWY3PXET5BMKM53GPZ","short_pith_number":"pith:TQWVWYCU","canonical_record":{"source":{"id":"1811.10186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-26T05:43:00Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f7f6d0805d76f2e694409395b27e423d0b83e542e4593b41d9e249516a13a8a4","abstract_canon_sha256":"1f8a50ac1cb83f009e3e2348bedc1cb9fa560d64b887f663debe114faf178f07"},"schema_version":"1.0"},"canonical_sha256":"9c2d5b60549db1b7dc93e858a677667e73e58e2efc142d9e5d15c9d92bcb7314","source":{"kind":"arxiv","id":"1811.10186","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.10186","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1811.10186v1","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10186","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"TQWVWYCUTWY3","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TQWVWYCUTWY3PXET","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TQWVWYCU","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TQWVWYCUTWY3PXET5BMKM53GPZ","target":"record","payload":{"canonical_record":{"source":{"id":"1811.10186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-26T05:43:00Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f7f6d0805d76f2e694409395b27e423d0b83e542e4593b41d9e249516a13a8a4","abstract_canon_sha256":"1f8a50ac1cb83f009e3e2348bedc1cb9fa560d64b887f663debe114faf178f07"},"schema_version":"1.0"},"canonical_sha256":"9c2d5b60549db1b7dc93e858a677667e73e58e2efc142d9e5d15c9d92bcb7314","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:58.471188Z","signature_b64":"R5mhUATMN+uQXtsrI0UHGg2GdNSjzfizEUbGklB449nDgT5+K6dW+/X0xBxCSTB/a0GVinz3dfHw3IifioNDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c2d5b60549db1b7dc93e858a677667e73e58e2efc142d9e5d15c9d92bcb7314","last_reissued_at":"2026-05-17T23:59:58.470748Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:58.470748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.10186","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":"2026-05-17T23:59:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GilOBZs8tPazqJRLHrUUu3e/1bXOzQ5GXRvnNSX6DSA2QBhfr9XvEPhmNxV/QXD3wW4zQTjqNxIjv+T7/LvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:31:13.179831Z"},"content_sha256":"8cecbb03eb1e436d9b9fafe75a3cb2c1d6ec335949c40bc2bf94a73e5a2ed685","schema_version":"1.0","event_id":"sha256:8cecbb03eb1e436d9b9fafe75a3cb2c1d6ec335949c40bc2bf94a73e5a2ed685"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TQWVWYCUTWY3PXET5BMKM53GPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational solutions of dressing chains and higher order Painleve equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"D. Gomez-Ullate, R. Milson, S. Lombardo, Y. Grandati","submitted_at":"2018-11-26T05:43:00Z","abstract_excerpt":"We present a new approach to determine the rational solutions of the higher order Painleve equations associated to periodic dressing chain systems. We obtain new sets of solutions, giving determinantal representations indexed by specific Maya diagrams in the odd case or universal characters in the even case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10186","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":""},"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":"2026-05-17T23:59:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MShzyv9UsmrgnJpt9ybt6Zi2EUai/USatcBMuJt3m3NB8mykXP34ffxs2RHwY/5Yt4SA7wLLdvCxRIBhmJyADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:31:13.180486Z"},"content_sha256":"b389db76ffc46404085a815825c7fbc48e1794dd24b8fa2e2acf73ad89a05f8c","schema_version":"1.0","event_id":"sha256:b389db76ffc46404085a815825c7fbc48e1794dd24b8fa2e2acf73ad89a05f8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQWVWYCUTWY3PXET5BMKM53GPZ/bundle.json","state_url":"https://pith.science/pith/TQWVWYCUTWY3PXET5BMKM53GPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQWVWYCUTWY3PXET5BMKM53GPZ/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":"2026-05-30T06:31:13Z","links":{"resolver":"https://pith.science/pith/TQWVWYCUTWY3PXET5BMKM53GPZ","bundle":"https://pith.science/pith/TQWVWYCUTWY3PXET5BMKM53GPZ/bundle.json","state":"https://pith.science/pith/TQWVWYCUTWY3PXET5BMKM53GPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQWVWYCUTWY3PXET5BMKM53GPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TQWVWYCUTWY3PXET5BMKM53GPZ","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":"1f8a50ac1cb83f009e3e2348bedc1cb9fa560d64b887f663debe114faf178f07","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-26T05:43:00Z","title_canon_sha256":"f7f6d0805d76f2e694409395b27e423d0b83e542e4593b41d9e249516a13a8a4"},"schema_version":"1.0","source":{"id":"1811.10186","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.10186","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1811.10186v1","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10186","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"TQWVWYCUTWY3","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TQWVWYCUTWY3PXET","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TQWVWYCU","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:b389db76ffc46404085a815825c7fbc48e1794dd24b8fa2e2acf73ad89a05f8c","target":"graph","created_at":"2026-05-17T23:59:58Z","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 present a new approach to determine the rational solutions of the higher order Painleve equations associated to periodic dressing chain systems. We obtain new sets of solutions, giving determinantal representations indexed by specific Maya diagrams in the odd case or universal characters in the even case.","authors_text":"D. Gomez-Ullate, R. Milson, S. Lombardo, Y. Grandati","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-26T05:43:00Z","title":"Rational solutions of dressing chains and higher order Painleve equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10186","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":"sha256:8cecbb03eb1e436d9b9fafe75a3cb2c1d6ec335949c40bc2bf94a73e5a2ed685","target":"record","created_at":"2026-05-17T23:59:58Z","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":"1f8a50ac1cb83f009e3e2348bedc1cb9fa560d64b887f663debe114faf178f07","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-26T05:43:00Z","title_canon_sha256":"f7f6d0805d76f2e694409395b27e423d0b83e542e4593b41d9e249516a13a8a4"},"schema_version":"1.0","source":{"id":"1811.10186","kind":"arxiv","version":1}},"canonical_sha256":"9c2d5b60549db1b7dc93e858a677667e73e58e2efc142d9e5d15c9d92bcb7314","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c2d5b60549db1b7dc93e858a677667e73e58e2efc142d9e5d15c9d92bcb7314","first_computed_at":"2026-05-17T23:59:58.470748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:58.470748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R5mhUATMN+uQXtsrI0UHGg2GdNSjzfizEUbGklB449nDgT5+K6dW+/X0xBxCSTB/a0GVinz3dfHw3IifioNDDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:58.471188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.10186","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cecbb03eb1e436d9b9fafe75a3cb2c1d6ec335949c40bc2bf94a73e5a2ed685","sha256:b389db76ffc46404085a815825c7fbc48e1794dd24b8fa2e2acf73ad89a05f8c"],"state_sha256":"bc79f1cd441a5bba70ae24ae42031d8020b784d0c96f76e8c3b4ba86257a841e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GGMof+/NrH9NeDyMbu00YqsKGFLLXn+hfwW7kr+tISzeR8ltvBa/FgRBp3LC57VCvq1OaL7VUiPoLantLn22Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:31:13.183572Z","bundle_sha256":"4af092d8629033d84abfc8c7064b3c78760ccb6bc0f13ce523630c1ffc76908d"}}