{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QVZMTJ3JWEW5SHLBBYLONONRXX","short_pith_number":"pith:QVZMTJ3J","canonical_record":{"source":{"id":"2605.21166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2026-05-20T13:34:48Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"1034584cb143ed6722783535c2d2211804507c9e63ef8820091f6d5c3900a2b5","abstract_canon_sha256":"a4df399740967a671c2eb85499d75e838855e0d0d1276b5dd2286906feed44a9"},"schema_version":"1.0"},"canonical_sha256":"8572c9a769b12dd91d610e16e6b9b1bde5b64e4813c52c899de44ae27eb5658d","source":{"kind":"arxiv","id":"2605.21166","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21166","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21166v1","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21166","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"pith_short_12","alias_value":"QVZMTJ3JWEW5","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"pith_short_16","alias_value":"QVZMTJ3JWEW5SHLB","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"pith_short_8","alias_value":"QVZMTJ3J","created_at":"2026-05-21T01:05:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QVZMTJ3JWEW5SHLBBYLONONRXX","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2026-05-20T13:34:48Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"1034584cb143ed6722783535c2d2211804507c9e63ef8820091f6d5c3900a2b5","abstract_canon_sha256":"a4df399740967a671c2eb85499d75e838855e0d0d1276b5dd2286906feed44a9"},"schema_version":"1.0"},"canonical_sha256":"8572c9a769b12dd91d610e16e6b9b1bde5b64e4813c52c899de44ae27eb5658d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:40.681928Z","signature_b64":"kHRwFOfkA91Fx5xiGEkMC8r1HkDsj8aeLiJY6ZFc3rE7l6H6qnRN09FATbJ6fU8qFYH17HjeAlqFwFCmvlISCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8572c9a769b12dd91d610e16e6b9b1bde5b64e4813c52c899de44ae27eb5658d","last_reissued_at":"2026-05-21T01:05:40.681213Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:40.681213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21166","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":"2026-05-21T01:05:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmOrTvcvs475q9fmuPMgDwozGz/Gk2mEIJWKKsgH5/wY3RdPVtgdqCGN9ejC7h0429QOm8eoCfK8iHVeg9ClBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:48:44.002586Z"},"content_sha256":"50cb4c975508ee299ffa3c9fd29e31fd217aaa5a1cbf3cd0f5ef549c5b904bf9","schema_version":"1.0","event_id":"sha256:50cb4c975508ee299ffa3c9fd29e31fd217aaa5a1cbf3cd0f5ef549c5b904bf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QVZMTJ3JWEW5SHLBBYLONONRXX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modified Painlev\\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"nlin.SI","authors_text":"Marta Dell'Atti, Thomas Kecker","submitted_at":"2026-05-20T13:34:48Z","abstract_excerpt":"We review non-autonomous Hamiltonian systems, polynomial in two dependent variables, with the property that all of their solutions are meromorphic functions in the complex plane. These are related to known Hamiltonian systems with the Painlev\\'e property, for which the solutions are single-valued outside a set of fixed singularities. Our systems are equivalent to them in the absence of fixed singularities, and give modified Painlev\\'e equations otherwise. Using the geometric approach by computing the Okamoto's spaces of initial conditions for certain Hamiltonian systems with general coefficien"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21166","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/2605.21166/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":"2026-05-21T01:05:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SKFA25zNK5VMzqSymI27oCFImLKnqy3AZp2T37k8VuiVBL+ckudkQ3w/zhZ+pM1W8SU/iE1I6oZsg58LjHlEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:48:44.003290Z"},"content_sha256":"a96b2c2016b313e3730fb993261381de9a902153b6397e4a58f432da8273441b","schema_version":"1.0","event_id":"sha256:a96b2c2016b313e3730fb993261381de9a902153b6397e4a58f432da8273441b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVZMTJ3JWEW5SHLBBYLONONRXX/bundle.json","state_url":"https://pith.science/pith/QVZMTJ3JWEW5SHLBBYLONONRXX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVZMTJ3JWEW5SHLBBYLONONRXX/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":"2026-06-11T05:48:44Z","links":{"resolver":"https://pith.science/pith/QVZMTJ3JWEW5SHLBBYLONONRXX","bundle":"https://pith.science/pith/QVZMTJ3JWEW5SHLBBYLONONRXX/bundle.json","state":"https://pith.science/pith/QVZMTJ3JWEW5SHLBBYLONONRXX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVZMTJ3JWEW5SHLBBYLONONRXX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QVZMTJ3JWEW5SHLBBYLONONRXX","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":"a4df399740967a671c2eb85499d75e838855e0d0d1276b5dd2286906feed44a9","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2026-05-20T13:34:48Z","title_canon_sha256":"1034584cb143ed6722783535c2d2211804507c9e63ef8820091f6d5c3900a2b5"},"schema_version":"1.0","source":{"id":"2605.21166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21166","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21166v1","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21166","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"pith_short_12","alias_value":"QVZMTJ3JWEW5","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"pith_short_16","alias_value":"QVZMTJ3JWEW5SHLB","created_at":"2026-05-21T01:05:40Z"},{"alias_kind":"pith_short_8","alias_value":"QVZMTJ3J","created_at":"2026-05-21T01:05:40Z"}],"graph_snapshots":[{"event_id":"sha256:a96b2c2016b313e3730fb993261381de9a902153b6397e4a58f432da8273441b","target":"graph","created_at":"2026-05-21T01:05:40Z","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/2605.21166/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review non-autonomous Hamiltonian systems, polynomial in two dependent variables, with the property that all of their solutions are meromorphic functions in the complex plane. These are related to known Hamiltonian systems with the Painlev\\'e property, for which the solutions are single-valued outside a set of fixed singularities. Our systems are equivalent to them in the absence of fixed singularities, and give modified Painlev\\'e equations otherwise. Using the geometric approach by computing the Okamoto's spaces of initial conditions for certain Hamiltonian systems with general coefficien","authors_text":"Marta Dell'Atti, Thomas Kecker","cross_cats":["math-ph","math.CA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2026-05-20T13:34:48Z","title":"Modified Painlev\\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21166","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":"sha256:50cb4c975508ee299ffa3c9fd29e31fd217aaa5a1cbf3cd0f5ef549c5b904bf9","target":"record","created_at":"2026-05-21T01:05:40Z","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":"a4df399740967a671c2eb85499d75e838855e0d0d1276b5dd2286906feed44a9","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2026-05-20T13:34:48Z","title_canon_sha256":"1034584cb143ed6722783535c2d2211804507c9e63ef8820091f6d5c3900a2b5"},"schema_version":"1.0","source":{"id":"2605.21166","kind":"arxiv","version":1}},"canonical_sha256":"8572c9a769b12dd91d610e16e6b9b1bde5b64e4813c52c899de44ae27eb5658d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8572c9a769b12dd91d610e16e6b9b1bde5b64e4813c52c899de44ae27eb5658d","first_computed_at":"2026-05-21T01:05:40.681213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:40.681213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kHRwFOfkA91Fx5xiGEkMC8r1HkDsj8aeLiJY6ZFc3rE7l6H6qnRN09FATbJ6fU8qFYH17HjeAlqFwFCmvlISCg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:40.681928Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50cb4c975508ee299ffa3c9fd29e31fd217aaa5a1cbf3cd0f5ef549c5b904bf9","sha256:a96b2c2016b313e3730fb993261381de9a902153b6397e4a58f432da8273441b"],"state_sha256":"ef7aca01f0acf793a38d0349cf25752fafeef7699f721c317ddcbcea25c31014"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DyDCrg1frZs5e0/F3KmRIYQ5RedfspTMr1fnXYvazz/J8Rv3BiTHfOaG2SN/mYUz+bnMMH6/oS3yrwz7ycVwCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T05:48:44.007241Z","bundle_sha256":"c17cd4972dabc242351b762490b93c0b9f2ce2b892fa9ceb83c1b30ade870c14"}}